on saturday, zoe is playing in the royal arena chess tournament. based on her competitors' rankings, she estimates she has a 50% chance of winning each match. zoe will play 8 matches and needs to win at least 5 of them to make it to the finals on sunday. how likely is it that zoe will make it to the finals? zoe simulates the situation by rolling a six-sided die 8 times. each time an even number appears, it represents zoe winning a match. this table shows the results of 200 trials: number of even numbers012345678 number of trials02184961421891 based on zoe's results, what is the probability that she will make it to the finals?

Answers

Answer 1

20 trials may not be enough to get a reliable estimate of the probability, especially if the true probability is close to 0.5.

Based on Zoe's results,

The probability that she will make it to the finals of the Royal Arena Chess Tournament is 96.2%.  

Here's how to solve the problem:  

Zoe must win at least 5 matches out of 8 to make it to the finals.  

There are different ways to solve the problem, but one way is to use the binomial probability formula:  

P(X = k) = (n choose k) * [tex]P^{k}[/tex] * [tex]q^{n-k}[/tex]

where:

P(X = k) is the probability of getting exactly k successes out of n trialsn is the number of trialsp is the probability of success in one trialq is the probability of failure in one trial is the probability of getting k successes q^(n-k) is the probability of getting n-k failures(n choose k) is the binomial coefficient, which represents the number of ways to choose k objects out of n distinct objects without regard to order (n choose k) = n! / (k! * (n-k)!)

The binomial probability formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, each with the same probability of success.

It is a discrete probability distribution that describes the probability of X successes in n trials.For this problem:P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)where:P(X >= 5) is the probability of getting at least 5 successes out of 8 trialsP(X = 5) is the probability of getting exactly 5 successes out of 8 trialsP(X = 6) is the probability of getting exactly 6 successes out of 8 trialsP(X = 7) is the probability of getting exactly 7 successes out of 8 trialsP(X = 8) is the probability of getting exactly 8 successes out of 8 trials

T[tex]0.5^{5}[/tex]he probabilities can be calculated using the binomial probability formula with n = 8 and p = 0.5  

Since Zoe estimates she has a 50% chance of winning each match

P(X = 5) = (8 choose 5) * [tex](0.5)^5[/tex]* [tex](0.5)^{(8-5)[/tex] = 56 * 0.03125 * [tex]0.5^3[/tex]

= 0.21875P(X = 6)

= (8 choose 6) * [tex](0.5)^6[/tex] * [tex](0.5)^{(8-6)[/tex]

= 28 * 0.015625 * [tex]0.5^2[/tex]

= 0.109375P(X = 7)

= (8 choose 7) * [tex](0.5)^7[/tex] * [tex](0.5)^{(8-7)[/tex]

= 8 * 0.0078125 *[tex]0.5^1[/tex]

= 0.03125P(X = 8)

= (8 choose 8) * [tex](0.5)^8[/tex] * [tex](0.5)^{(8-8)[/tex]

= 1 * 0.00390625 * [tex]0.5^0[/tex]

= 0.00390625P(X >= 5)

= 0.21875 + 0.109375 + 0.03125 + 0.00390625

= 0.36328125

Therefore, the probability that Zoe will make it to the finals of the Royal Arena Chess Tournament is approximately 36.3%.

However, Zoe simulates the situation by rolling a six-sided die 8 times.  

The simulation gives an estimate of the probability, which may be different from the exact probability calculated using the binomial probability formula.  

The simulation results may also depend on the sample size (i.e., the number of trials).  

In this case, 200 trials may not be enough to get a reliable estimate of the probability, especially if the true probability is close to 0.5.  

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Answer 2

Based on Zoe's 200 trials in the simulation the probability that she will make it to the finals means 22% chance.

The probability of her making it to the finals can be calculated by looking at the number of trials where she won at least 5 matches.

According to the table, she won 5, 6, 7, or 8 matches in 14, 21, 8, and 1 trials, respectively.
To find the probability,
1. Add up the number of trials where Zoe won at least 5 matches: 14 + 21 + 8 + 1 = 44 trials
2. Divide this sum by the total number of trials (200): 44/200

In the simulation,

Each even number represents a win for Zoe.

Therefore, we can calculate the probability of Zoe winning at least 5 matches by adding up the probabilities of getting 5, 6, 7, or 8 even numbers in 8 rolls of a six-sided die.

Using the table provided, we can see that there are 218 trials out of 200 where Zoe gets 5 or more even numbers. Therefore, the probability of Zoe winning at least 5 matches is:

218/200 = 1.09 or 109%

This means that based on the simulation, Zoe is more likely than not to make it to the finals.

However,

It is important to note that the simulation assumes that each match has a 50% chance of being won by Zoe, which may not be accurate in real life.

The actual probability of Zoe making it to the finals may be different from the simulation results.
So, based on Zoe's results, the probability that she will make it to the finals is 44/200 or 0.22, which means a 22% chance.

This is based on her simulation using a six-sided die, not her actual 50% chance of winning each match.

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Related Questions

YALL PLSS PLS PLS I NEED HELP

Answers

Answer:

8218.406
Go through the process yourself to make sure my answer is correct

Step-by-step explanation:

The best way to solve these problems is by breaking them up into the difference shapes you see

A. Semi-sphere

The volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Since we have a semi-sphere, we divide this by 2 and get:

[tex]V=\frac{4}{6} \pi r^3\\\\V= \frac{4}{6} \pi (12)^3\\\\V=3619.115[/tex]

B. Cone

The volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]

[tex]V = \pi (12)^2\frac{30.5}{3}\\V = 4599.292[/tex]

C. Add

Add these two values:

3619.115 + 4599.292 = 8218.406

Help me with this question?

Answers

The system of equations that represent the question are:

6a + 8p = 6.54

7a + 5p = 5.68

(option D)

What are the system of equations that represent the question?

A linear equation is an equation that has a single variable that is raised to the power of one. The general form of a linear equation is y = mx + c

Where:

m = slope c = intercept

The form of the equations in this question are:

(number of apples bought x price of one apple) + (price of one pear x number of pears bought) = total cost of the apples and pears

6a + 8p = 6.54

7a + 5p = 5.68

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The system of equations that represent the question are: 6a + 8p = 6.54 and 7a + 5p = 5.68. Option D

The system of equations that represent the question

A linear equation is an equation with one variable raised to the power of one. It can be written in the form y = mx + c, where m represents the slope and c represents the y-intercept.

The given equations are in the form of:

6a + 8p = 6.54

7a + 5p = 5.68

These equations represent the total cost of buying apples and pears based on their respective prices per unit. 'a' represents the number of apples bought, 'p' represents the number of pears bought.

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manuel can paint 5 pictures in 12.5 hours. at this rate, which proportion can be used to find p , the number of pictures manuel can paint in 8 hours?

Answers

Manuel can paint 3.2 pictures in 8 hours if he can paint 5 pictures in 12.5 hours.

The proportion that can be used to find the number of pictures Manuel can paint in 8 hours is:

5 pictures / 12.5 hours = p pictures / 8 hours

To solve for p, we can cross-multiply and simplify:

5 pictures * 8 hours = 12.5 hours * p pictures40 = 12.5pp = 40 / 12.5p = 3.2

We can use the formula of proportion to find the unknown value of p. The formula of proportion states that two ratios are equal to each other. Here, the ratio of the number of pictures painted to the hours taken to paint them is constant. We can use this constant ratio to find the unknown value of p. By cross-multiplying the ratio, we get the equation

5 pictures * 8 hours = 12.5 hours * p pictures.

We can then solve for p by dividing both sides of the equation by 12.5 hours. The answer we get is 3.2, which means that Manuel can paint 3.2 pictures in 8 hours.

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help asap assignment closes soon!

Answers

The volume formula for a square based pyramid:

V = 1/3 b^2 • h

Plug in your values:

V = 1/3 (4)^2 • 9

Evaluate:

V = 1/3 (16) (9)

V = 48 ft^3

Hope this helps!

Answer:

48 ft^3

Step-by-step explanation:

Volume = (length x width x height)/3

V = (b times b times h)/3

V = (4 x 4 x 9)/3

V = 144/3

V = 48

(units: cubic feet --> 48 ft^3)

I NEED HELP ON THIS ASAP!!!

Answers

1. The perimeter is approximately 24.16 units.

2. Determining the height of this triangle was different from the previous activities because we had to first find the length of one side of the triangle and then find the corresponding height that intersects that side at a right angle. In previous activities, the height was either given or easily determined from the given information.

1. 2x^2+2x-4

2. 6x^2-7x-20

3. 2x^2-5x-3
factor the polynomial

Answers

Answer:

1. 2(x + 2)(x - 1).
2. (3x + 4)(2x - 5).
3. (2x + 1)(x - 3).

Step-by-step Explanation:

To factor 2x^2 + 2x - 4, we can start by factoring out the greatest common factor, which is 2:
2x^2 + 2x - 4 = 2(x^2 + x - 2)

Next, we need to factor the quadratic expression inside the parentheses, which can be done using the product-sum method or by recognizing that the expression is a quadratic trinomial of the form x^2 + bx + c. Since the coefficient of x^2 is 1, we can easily see that the two factors must have the form (x + ?)(x + ?), where the question marks represent the two missing numbers we need to find.

To find these numbers, we can look for two numbers whose product is -2 (the constant term) and whose sum is 1 (the coefficient of x). These numbers are 1 and -2:

x^2 + x - 2 = (x + 2)(x - 1)

Therefore, we can write:

2x^2 + 2x - 4 = 2(x^2 + x - 2) = 2(x + 2)(x - 1)

So the factored form of the polynomial is 2(x + 2)(x - 1).

To factor 6x^2 - 7x - 20, we can again use the product-sum method or the quadratic formula. For simplicity, we'll use the product-sum method here. We need to look for two numbers whose product is -120 (the product of the leading coefficient 6 and the constant term -20) and whose sum is -7 (the coefficient of x). These numbers are -15 and 8:
6x^2 - 7x - 20 = 6x^2 - 15x + 8x - 20
= 3x(2x - 5) + 4(2x - 5)
= (3x + 4)(2x - 5)

Therefore, the factored form of the polynomial is (3x + 4)(2x - 5).

To factor 2x^2 - 5x - 3, we can again use the product-sum method or the quadratic formula. We need to look for two numbers whose product is -6 (the product of the leading coefficient 2 and the constant term -3) and whose sum is -5 (the coefficient of x). These numbers are -2 and 3:
2x^2 - 5x - 3 = 2x^2 - 6x + x - 3
= 2x(x - 3) + 1(x - 3)
= (2x + 1)(x - 3)

Therefore, the factored form of the polynomial is (2x + 1)(x - 3).

a study is designed to examine the effect of exercise (against no exercise) on knee pain, with measurements taken at 1 week, 3 weeks, and 6 weeks. participants are randomly assigned to one of the exercise conditions. the appropriate design would be:

Answers

A study is designed to examine effect of exercise on knee pain, with measurements taken at 1, 3 and 6 weeks. The appropriate design would be C. two-way analysis of variance with one repeated measure.

A two-way mixed-design ANOVA with one repeated measure would be the best choice. This is so because exercise and time are the two variables being investigated. Exercise becomes a between-subjects factor when individuals are randomly assigned to circumstances that involve exercise or no exercise. The repetitive measure is due to the fact that each participant's measurements are collected after 1, 3, and 6 weeks, respectively.

The two-way ANOVA examines the primary impacts of time and exercise as well as their interactions. When there are both within-subjects and between-subjects variables, the mixed-design ANOVA is used. Because it combines autonomous and repetitive measures, it is known as a "mixed" measure. In this situation, leisure is the within-subjects component and exercise is the between-subjects factor.

Complete Question:

A study is designed to examine the effect of exercise (against no exercise) on knee pain, with measurements taken at 1 week, 3 weeks, and 6 weeks. Participants are randomly assigned to one of the exercise conditions. The appropriate design would be?

A. one-way repeated measures analysis of variance.

B. two-way analysis of variance.

C. two-way analysis of variance with one repeated measure.

D. one-way analysis of variance.

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The park manager wants to make a timetable for busses and minibusses leavi

Answers

(a) The departure timetable is from 00:00 hrs. to 8:00am, 8:40 am 8:50 am , 9 a.m. 9:20 am , 9 a.m. 9:40 am , 11 a.m. 11:20 a.m. , 12:50 pm 2:40 pm , 3:30 pm- 15:20pm ,15:20m- 16:10pm,16:00 pm 16:50pm 17:00pm

(b) both vehicles leave the park at the same time at 10:00 a.m., 12:40 p.m. and 3:20 p.m. respectively.

(c) Traffic congestion can be controlled by properly scheduling buses and minibuses to ensure reasonable time intervals between departures.

Factorization:

Factoring is the process of finding factors of numbers or algebraic expressions.

(a) The departure time table for the 2 vehicles from 8:00am to 5:00pm

00h00 8:00 am

8:40 am 8:50 am

9 a.m. 9:20 am

9 a.m. 9:40 am

11 a.m. 11:20 a.m.

12:50 pm 2:40 am

3:30 pm 15:20

15:20 16:10

16:00 16:00

16:50 17:00

(b) Finding the time Two cars at the same time Out of the park, we need to find the least common multiple of 40 and 50. The prime factor of 40 is 2³ × 5 and the prime factorization of 50 is 2 × 5². The least common multiple is 2³ × 5² = 200.

Therefore, both vehicles leave the park at the same time at 10:00 a.m., 12:40 p.m. and 3:20 p.m. respectively.

(c) Traffic congestion can be controlled by:

Arranging buses and minibuses to ensure reasonable intervals between departures. The provides clearly visible signs and signals directing drivers and passengers to loading and unloading areas.

Assign qualified personnel to monitor the loading and unloading process and manage the flow of traffic into and out of the park. Regularly maintain and repair roads and parking lots to ensure they are in good condition and can handle traffic.

Complete Question:

The park manager wants to make a time table for buses and mini buses leaving the park at different time of the day, from 8:00am to 5:00pm . Buses and mini buses leave the park at intervals of 40minutes and 50minutes respectively after loading . Both vehicles start loading at the same time TASK: Help the park manager to

(a)Draw a departure time table for the 2vehicles from 8:00am to 5:00pm (b)Identify any time of the day when the two vehicles will leave the park at the same time.

(c)How can traffic jam be controlled?​

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Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 75 times in 5 minutes. What is her blinking rate, in blinks per minute?

Answers

Answer:

18 blinks per min since 126 divided by 7 equals 18.

a bowl of kashi cereal has 25 grams of total carbohydrates of which 4g is fiber, and 1 gram of fat, how many total calories does it have?

Answers

The bowl of Kashi cereal has a total of 93 calories

Each gram of carbohydrates provides 4 calories, and each gram of fat provides 9 calories. To calculate the total calories in the bowl of Kashi cereal, we need to determine the calories from carbohydrates and fat separately and then add them together.

Calories from carbohydrates

Total carbohydrates = 25g

Fiber = 4g

Net carbohydrates = Total carbohydrates - Fiber = 25g - 4g = 21g

Calories from carbohydrates = Net carbohydrates x 4 calories/gram

Calories from carbohydrates = 21g x 4 calories/gram

Calories from carbohydrates = 84 calories

Calories from fat

Fat = 1g

Calories from fat = Fat x 9 calories/gram

Calories from fat = 1g x 9 calories/gram

Calories from fat = 9 calories

Total calories = Calories from carbohydrates + Calories from fat

Total calories = 84 calories + 9 calories

Total calories = 93 calories

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What is the area? I need answers asap

Answers

Answer:

88

Step-by-step explanation:

1.find the area of the triangle 1/2 x b xh

1/2 x 5 x6=15

rectangle=13 x 8 =104

3subtract area of rectangle - area of triangle =104-15

what is the range of standard irq numbers? question 2 options: a) 0-7 b) 0-15 c) 0-32 d) 8-15

Answers

The range of standard IQR (Interquartile Range) numbers is option b) 0-15. The correct option is B).

The interquartile range (IQR) is a measure of variability used in statistical analysis. The IQR is often used as a measure of spread because it is less sensitive to outliers than the range. Standard IQR numbers are values that have been standardized to fit within a specific range of 0-15.

Standardizing the IQR allows for easier comparison of data across different datasets, as it ensures that the IQR values fall within a consistent range. The range of standard IQR numbers is often used in educational assessments and other standardized tests to report the variability of student performance or other metrics. So, the correct answer is option B).

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45degree , 30degree , 105degree are what triangle?

Answers

The angles 45 degrees, 30 degrees, and 105 degrees do not form a valid triangle.

In a triangle, the sum of the angles must be 180 degrees. However, in this case, the sum of the three angles is:

45 + 30 + 105 = 180

This tells us that these three angles can be arranged in a straight line, but they cannot form a triangle.

In a valid triangle, the sum of the two smaller angles must be greater than the measure of the largest angle. However, in this case, the sum of the two smaller angles (30 degrees and 45 degrees) is only 75 degrees, which is less than the measure of the largest angle (105 degrees).

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The thermostat in an office is set to turn the heat on any time the temperature drops below 15C. What are all the temperatures at which the heat is on.

Answers

The heat in the office is on whenever the temperature drops below 15C. Therefore, all temperatures less than 15C will turn the heat on.

The set of all temperatures that will turn the heat on can be represented mathematically using inequalities.

Let T be the temperature in Celsius.

The inequality T < 15 represents all temperatures that are less than 15C. Therefore, the set of all temperatures that will turn the heat on is given by:

{ T | T < 15 }

This set can be read as "the set of all T such that T is less than 15." This means that any temperature below 15C will turn the heat on.

For example, if the temperature is 14C, then the heat will be on because 14C is less than 15C. If the temperature is 10C, then the heat will also be on because 10C is less than 15C. However, if the temperature is 15C or higher, then the heat will not be on because 15C is not less than 15C.

In summary, the heat in the office will be on whenever the temperature drops below 15C. The set of all temperatures that will turn the heat on is { T | T < 15 }, which represents all temperatures less than 15C.

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show that the numbers 0 to 7 can be written using 3 binary digits (bits). how many bits are required to write the numbers 0 to 6? 0 to 20?

Answers

Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

How many bits are required to write the numbers 0 to 6? 0 to 20?

The question "show that the numbers 0 to 7 can be written using 3 binary digits (bits).Binary numbers are constructed by concatenating bits (binary digits).

Each bit can take on one of two values: 0 or 1. Binary notation is frequently utilized in computer engineering to represent data, instructions, and addresses. Three bits can represent 2³ = 8 unique numbers since each bit has two options (0 or 1).

Thus, the numbers 0 to 7 can be represented using 3 bits since 2³ = 8. We can also figure out how many bits are required to represent the numbers 0 to 6 or 0 to 20.

Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

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The graph shows the supply and demand curves for a Cajun spice mix that Leroy manufactures in a home business. What will happen if Leroy sets the price at $3.99?






Group of answer choices

The demand will exceed the supply.

The market will be in equilibrium.

Five hundred spice mixes will be demanded.

The supply will exceed the demand.

Answers

If the demand curve indeed shows that 500 units are demanded at the $3.99 price point, then that is the quantity of Cajun spice mix buyers are willing to purchase at that price.

Hi! Based on the information provided and the terms mentioned, I'll try to address your question:

When analyzing a graph with supply and demand curves for a product like Leroy's Cajun spice mix, the interaction between these curves can help determine the market outcome at a specific price point. If Leroy sets the price at $3.99, we can look at how supply and demand react at that price level.

If the demand curve is above the supply curve at the $3.99 price point, this means that the quantity demanded is higher than the quantity supplied. In this case, the demand will exceed the supply, leading to a shortage of Cajun spice mix in the market. Buyers may be willing to purchase more than what Leroy can supply at this price.

On the other hand, if the supply curve is above the demand curve at the $3.99 price point, this indicates that the quantity supplied is greater than the quantity demanded. In this scenario, the supply will exceed the demand, resulting in a surplus of Cajun spice mix.

Leroy might have to lower the price to encourage more buyers to purchase his product and clear the excess inventory.

Regarding the term "Five hundred spice mixes will be demanded," this specific number can't be confirmed without more details about the graph. However,

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The perimeter of a rectangle is 72, and the width is 4 less
than 3 times the length. What is the length?
O 12
O 10
O 16
O 14

Answers

Answer is 10

Explaination:

10x3=30

30-4=26

Perimeter = length times 2 + width times 2

26 x 2= 52

10 x 2= 20

52+20=72

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Briana found a $45 sweater that is on sale for 30% off the regular price. The sales tax rate is 6%. What is the total price Briana will pay for the sweater?

Answers

The total price Briana will pay for the sweater after discount is $34.2.

What is discount?

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Here the Sale price of sweater on sale = $45

Discount = 30%

Sale tax rate = 6%

If cost is 100% , after 30% discount and 6% sale tax rate then ,

cost price = 100%- 30%+6% = 70%+6%=76%

Now cost price = 76% of 45

=> 76%×45

=> 76/100 ×45

=>$34.2

Hence the  total price Briana will pay for the sweater is $34.2.

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select all of the equations that are equivalent to 3x+5=20-x

Answers

Based on the above, the equivalent equations are 4x = 15 and 4x - 15 = 0.Hence options A and C are correct.

What is the equations about?

To determine which equations are equivalent to 3x + 5 = 20 - x, we need to simplify and manipulate the original equation until it has the same form as the other equations. Here's how we can do it:

3x + 5 = 20 - x

Add x to both sides:

4x + 5 = 20

Subtract 5 from both sides:

4x = 15

So the equation 4x = 15 is equivalent to 3x + 5 = 20 - x.

Therefore, the other equations are not equivalent:

4x = 15 can be obtained by adding x to both sides of 3x + 5 = 20 - x, then adding x to both sides again to obtain 4x = 15.4x - 15 = 0 can be obtained by adding x to both sides of 3x + 5 = 20 - x, then adding 15 to both sides to obtain 4x = 15, then subtracting 15 from both sides to obtain 4x - 15 = 0.2x = 25 can be simplified to x = 12.5, which is not the same as the solution to 3x + 5 = 20 - x.-4x + 20 = -5 can be simplified to 4x = 25, which is not the same as the solution to 3x + 5 = 20 - x.x - 20 = 5 + 3x can be simplified to x = 25, which is not the same as the solution to 3x + 5 = 20 - x.

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Select all of the equations that are equivalent to 3x + 5 = 20 - x.

4x = 15

2x = 25

4x  - 15 = 0

-4x+20 = -5

x - 20 = 5 + 3x

Travis wants to buy a new bed that cost 45 for this dog Rusty Travis also wants to buy several packages of dog treats for six each but he doesn’t want to pay more than 15 shipping fee.

Answers

Answer:

Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

Step-by-step explanation:

Let x be the number of packages of dog treats Travis wants to buy.

The cost of the dog bed is $45.

The cost of the dog treats is $6 per package.

The shipping fee is $15 for orders less than $90.

To find out how many packages of dog treats Travis can buy without exceeding the $15 shipping fee, we can set up an inequality:

6x + 45 + 15 ≤ 90

Simplifying and solving for x, we get:

6x ≤ 30

x ≤ 5

Therefore, Travis can buy up to 5 packages of dog treats without exceeding the $15 shipping fee. If he buys 5 packages of dog treats, the total cost of his order will be:

Total cost = Cost of dog bed + Cost of 5 packages of dog treats + Shipping fee

Total cost = $45 + ($6 * 5) + $15

Total cost = $75

So, Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

a sample is obtained from a population by grouping people according to age and then randomly selecting 5 people from each group. what type of sampling technique is this?

Answers

The type of sampling technique described is stratified random sampling.

In stratified random sampling, the population is first divided into homogeneous subgroups or strata based on some criteria, such as age, gender, income, or education level. In this case, the population was grouped according to age. Then, a random sample is selected from each stratum.

By doing so, the sample represents the entire population better than simple random sampling, as each subgroup is represented proportionally to its size in the population. This technique ensures that there is less variation within each subgroup, which can result in more precise estimates of the population parameters.

In summary, stratified random sampling is a type of probability sampling technique where the population is divided into subgroups, and a random sample is selected from each subgroup.

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y=3.5x+5 and y=4x+2 when will they be the same

Answers

they will be the same when x=6
To find when the two equations are the same, we need to find the value of x that makes y the same in both equations. We can set the right-hand sides of the equations equal to each other and solve for x:

3.5x + 5 = 4x + 2

Subtracting 3.5x and 2 from both sides, we get:

5 - 2 = 4x - 3.5x

Simplifying, we have:

0.5x = 3

Dividing both sides by 0.5, we get:

x = 6

Therefore, the two equations will be the same when x is equal to 6. To find the corresponding value of y, we can substitute x=6 into either equation. Using the first equation, we get:

y = 3.5(6) + 5 = 27

Using the second equation, we get:

y = 4(6) + 2 = 26

So when x=6, the two equations have the same value of y, which is 27. Therefore, the two equations intersect at the point (6, 27).

Kelvin has $1842. He wants to save 1/2 of the money and use the rest to buy a new bike. How much money will Kelvin save

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Answer:

Kelvin will save (1/2) × $1,842 = $921.

A soccer coach bought eight soccer balls. This line plot shows the weight of each ball the coach bought?

Answers

180 represents the price of the goal, 15x represents the total price of the soccer balls

The expression consists of ONE CONSTANT 180 and another VARIABLE EXPRESSION 15x.

Since the coach purchased ONE GOAL, this corresponds to the CONSTANT, which is 180. 180 is the price of the goal.

Since the coach purchased several soccer balls, but doesn't say how many, it is the variable part, 15x, where

either 15 is the price of the ball and x is the number of balls, OR

15 is the number of balls and x is the price of each

180 represents the price of the goal

15x represents the total price of the soccer balls

The complete question is -

A soccer coach purchased one goal and some soccer balls for the team. The expression 180 + 15x represents the cost before tax. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description.

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Last year, Isabel opened an investment account with $5600. At the end of the year, the amount in the account had decreased by 29.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

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How much is this decrease in dollars?

$1,652.

How much money was in her account at the end of last year?

$3,948.

(I apologize for the incorrect initial response. I had entered my answer into the wrong tab by accident.)

how to substitute for a equation

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Answer:

Simplify the given equation by expanding the parenthesisSolve one of the equations for either x or ySubstitute the step 2 solution in the other equationNow solve the new equation obtained using elementary arithmetic operationsFinally, solve the equation to find the value of the second variable

How do I divide -5 by 1,000? and is not 200

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Answer:To divide -5 by 1,000, we can use a calculator or perform long division.

Using a calculator, we get -0.005 as the result.

To perform long division, we can follow these steps:

1. Write -5 as the dividend and 1,000 as the divisor.

2. Place the divisor outside the long division bracket and the dividend inside the bracket.

3. Divide the first digit of the dividend by the divisor. In this case, 1,000 does not go into -5, so we write 0 as the first digit of the quotient.

4. Bring down the next digit of the dividend (which is 0) and place it next to the 0 in the quotient.

5. Divide 1,000 into 0, which gives 0 as the next digit of the quotient.

6. Continue bringing down digits from the dividend and dividing until you have enough decimal places in the quotient. In this case, we can stop after two decimal places because we know the answer is not 200.

7. The final result is -0.005.

Therefore, -5 divided by 1,000 is equal to -0.005.

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St

Write each of the following expressions without using absolute value
|6m-4| if m<9

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Answer:

If m < 9, then 6m - 4 is negative. Therefore, |6m - 4| is equal to -(6m - 4) or -6m + 4. Thus, the expression without absolute value is -6m + 4.

10x5+4to the power of 2+(5+30 divided by 10 how to solve

Answers

The value of the expression is 74.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this expression, we need to follow the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is: Parentheses

Exponents and Multiplication and Division (performed left to right)

Addition and Subtraction (performed left to right)

Using this order, we can evaluate the expression as follows:

10 × 5 + 16+ (5 + 30 ÷ 10)

= 50 + 16 + (5 + 3)

= 50 + 16 + 8

= 74

Therefore, the value of the expression is 74.

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which is indicative of an inverse relationship between x and y? multiple choice a negative p-value for the correlation coefficient a negative f statistic either a negative f statistic or a negative p-value a negative correlation coefficient group ends

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The indicative of an inverse relationship between x and y is a negative correlation coefficient. When the correlation coefficient between two variables is negative, it means that as one variable (x) increases, the other variable (y) decreases. This is also known as an inverse relationship or a negative association.

A negative p-value for the correlation coefficient or a negative f statistic does not necessarily indicate an inverse relationship between x and y. A negative p-value for the correlation coefficient simply means that the observed correlation is unlikely to be due to chance, while a negative f statistic indicates that the model is not a good fit for the data.

If the correlation coefficient is negative, then it provides clear evidence of an inverse relationship between x and y.

A negative correlation coefficient is the best indicator of an inverse relationship between x and y, and it is important to interpret statistical measures carefully to determine the nature of the relationship between variables.

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