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3 miles
5,000 yards

Answer:no they are not independent

Step-by-step explanation:

1) in order for events to be independent the probability of E happening should equal the probability of E happening given that F has already happend

2) P(E)=1/6 (on 6 sided die there is only 1 face that has 3 hence probability of e occurring is 1/6) or .167

3) P(E | F) read as probability of E happening given F has occurred

(Probability of E * probability of F) / total number of outcomes in F

probability of F= 1/6 as there is only one face(3) which will make the sum of the 2 die 6

(1/6)(1/6)/6=0.004

P(E)= .1167

P(E| F) =.004

hence probability aren't equal as making F happen impacts E'E's chances

ANOTHER way to think about this is if E rolls a 3 then the only way to make the sum of the 2 dice equal 3 is if die 2 rolls 3 as well. Hence the pprobability Of the second outcome tht sum of 2 die=6 depends on the number the first die lands

The  advantage  401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.

401(k) investment can be defined as the process in which an employer enables an employee to save ahead of their retirement.

401(k)  investment help to motivate or encourage employee to save for retirement by enabling the employer to as well contribute a certain amount toward the employee retirement .

It as well help to lower the tax amount paid on the amount contributed by an employee based on the fact that the contribution are often deducted before tax.

Therefore the advantage  401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.

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Answer:

D.) It incentivizes employees to contribute by offering an employer match.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

A square has 4 sides, and 7 times 4 is 28.

Answer:

28 Meters

Step-by-step explanation:

A square has 4 sides of equal length, and a perimeter is the distance around the shape, so if each side is 7 meters long, then that is 4 lines that are 7 meters long...

7 × 4 = 28

The perimeter is 28.

Brainliest please?  

Answer:

Step-by-step explanation:this is a very hard question

Answer:

9

Step-by-step explanation:

The given equation is:

[tex]x^{2}[/tex] - 6[tex]x[/tex] = 5

To complete the square you have to add one number to both sides of the equation.

First, divide the coefficient of the term x by 2 and square the result. This number should then be added to both sides of the equation.

For the equation [tex]x^{2}[/tex] - 6[tex]x[/tex] = 5 the coefficient of the term x is -6.

(6 ÷ 2)² = 9
So you'll add 9 to both sides of the equation.

  [tex]x^{2}[/tex] - 6[tex]x[/tex] (+ 9) = 5 (+ 9)
                 ↓
      [tex]x^{2}[/tex] - 6[tex]x[/tex] + 9 = 14

This can also be written as:
         ([tex]x[/tex] - 3)² = 14

I believe the answer is 48.3

Step-by-step explanation:

sorry if I'm wrong

The difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵  + 5r³s⁶).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The difference between the two polynomials can be solved as,

[tex](8r^6s^3 - 9r^5s^4+3r^4s^5) - (2r^4s^5 -5r^3s^6 - 4r^5s^4) \\\\= 8r^6s^3 - 9r^5s^4+3r^4s^5 - 2r^4s^5 +5r^3s^6 + 4r^5s^4\\\\= 8r^6s^3 - 5r^5s^4+r^4s^5 +5r^3s^6[/tex]

Thus, the difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵  + 5r³s⁶).

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Answer:

no

Step-by-step explanation:

complementary angles add up to 90°

supplementary angles add up to 180°.

43 + 37 = 80.

so, they are neither.

Answer:

No

Step-by-step explanation:

Answer:

A=220 and 150 un^2

Step-by-step explanation:

The area for a square is LxW

you have one square with dimensions 2x+4 by x+3 and another with dimensions 3x-9 by x+2

for your first set: A=LxW= (2x+4)*(x+3)

evaluate at x=8: A= (2(8)+4)*(8+3) = 220

second set: A=LxW = (3x-9)*(x+2)

evaluate at x=8: A= (3(8)-9)*(8+2) = 150

The expression A² – (B + C) in its simplest form is 8x² – 25x + 7

A polynomial function is an expression constructed with one or more terms of variables with constant exponents.

Data obtained from the question

A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?

The simplest form of the polynomial is given by;

(3x – 4)² – (x + 7 + x² + 2)

9x² – 12x – 12x + 16 – (x + x² + 9)

9x² – 24x + 16 – x – x² – 9

9x² – x² – 24x – x + 16  – 9

8x² – 25x + 7

Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.

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Answer: A: 8x^2 - 25x + 7

Step-by-step explanation: got it right :)

Answer:

(3, -1)

Step-by-step explanation:

Given

Subbing the value of y

Answer:

Solution: (3, -1)

Given equations:

Step-1: Reorganize the equations with "y" on the L.H.S

[tex]\rightarrow \left \{ {{4x + 5y = 7} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop y =-10 + 3x}} \right.[/tex]

Step-2: Make the x-variables the same on both equations

[tex]\rightarrow \left \{ {{3(5y = 7 - 4x)} \atop 4(y =-10 + 3x)}} \right.[/tex]

[tex]\rightarrow \left \{ {{15y = 21 - 12x} \atop 4y =-40 + 12x}} \right.[/tex]

Step-3: Add the equations

[tex]\rightarrow (15y + 4y) = (21 - 40) + (-12x + 12x)[/tex]

[tex]\rightarrow 19y = -19[/tex]

Step-4: Divide both sides by 19

[tex]\rightarrow \dfrac{19y}{19} = \dfrac{-19}{19}[/tex]

[tex]\rightarrow y = -1[/tex]

Step-5: Substitute the value of y into any equation

[tex]\rightarrow y = 3x - 10[/tex]

[tex]\rightarrow -1 = 3x - 10[/tex]

Step-6: Simplify the equation

[tex]\rightarrow -1 + 10 = 3x[/tex]

[tex]\rightarrow9= 3x[/tex]

Step-7: Divide 3 both sides

[tex]\rightarrow \dfrac{9}{3} = \dfrac{3x}{3}[/tex]

[tex]\rightarrow x = 3[/tex]

(Optional) Step-8: Convert the solution(s) into (x, y) form

[tex]\rightarrow (x, y) \rightarrow (x = 3; y=-1) \rightarrow (3,-1)[/tex]

Thus, the value of x and y is 3 and -1. The solution is (3, -1).

4.5% annually

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

Divide both sides by 100

Subtract 1 from both sides

Divide both sides by 5

This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

If the condition f(-x) = -f(x) is satisfy then the function is an odd function. Then the odd function is f(x) = 6x³ + 2x.

Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

The equation should be stored in an odd function:

f(-x) = -f(x)

Then the functions are given below.

f(x) = 3x² + x

f(x) = 4x³ + 7

f(x) = 5x² + 9

f(x) = 6x³ + 2x

Then replace x with the negative x, then we have

f(x) = 3(-x)² + (-x) = 3x² - x =

f(x) = 4(-x)³ + 7 = -4x³ + 7

f(x) = 5(-x)² + 9 = 5x² + 9

f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)

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Answer: D

Step-by-step explanation:

Using the proportion concept, it is found that:

A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.

In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:

p = 2/10 = 0.2.

In Kiran's sample, 17 out of 100 would, hence:

p = 17/100 = 0.17.

Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.

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The number of weeks when both Michelle and Zuri would both have their hair done again on the same day is 6 weeks.

In order to determine when they would both have their hair done on the same day, the common multiple of 8 and 5 has to be determined.

A multiple of a number is the product of an integer and that number.

Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Multiple of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Common multiple = 40

Number of weeks = 40 / 7 = 5.71 = 6 weeks

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Answer: 1 in = 3.6 ft

Step-by-step explanation:

The small car is a model of the large car. The small car is 5 inches long while the large car is 18 feet long.

We currently have a ratio of: [tex]\frac{18 ft}{5 in}[/tex]

We need to get either the 18 or the 5 to one single unit.

18 ft : 5 in

Divide both sides by 5 to isolate 1 inch.

[tex]\frac{18}{5}[/tex] ft : [tex]\frac{5}{5}[/tex] in

Simplify.

3.6 ft : 1 in

We found that the ratio of the scale model is 1 inch of the model is equal to 3.6 ft of the real car.

Therefore, 3.6 ft = 1 in, which is equivalent to 1 in = 3.6ft

Answer:

69/50

Step-by-step explanation:

138/100

69/50

Answer:

B

Step-by-step explanation:

It 4 3/8 is 4.375 which would round down

Answer: 5250 milliliters

Step-by-step explanation:

i hope this will be helpful

Answer:

15

__

28

Step-by-step explanation:

just multiply top by bottom

5*3         15

___ =  ____

7*4        28

Answer:

the answer is 15/28

Step-by-step explanation:

if you multiply the numerators 5 and 3, you get 15. then you have to multiply the denominators 7 and 4 to get 28

Answer:

The lateral surface area is 12

Step-by-step explanation:

got it right on edu

Answer:

use PH+2B

Step-by-step explanation:

use the perimeter by adding sides, get the height in the corner, and ur base will be multiplied by width times length it should look similar to PxH+2xB

Answer:

the third one hope it helps:)

Probability of an event measures its chance of occurrence. P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

Suppose that two events are denoted by A and B.

They are said to be independent event if and only if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

It is because

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

and therefore, using chain rule and above facts gives:

[tex]P(A \cap B) = P(A)P(B)[/tex]

The question is missing some informations, which are:

The result of first draw and the second draw are independent of each other as Deepak replaces the marble after first draw, therefore, making no changes in the count of balls of each color in the considered bag, which decides the probability needed.

Now, let we take:

A = probability that Deepak picks green ball in first draw

B = probability that Deepak picks red ball in the second draw

Then, we get:

[tex]P(A) =\dfrac{5}{14}\\\\P(B) = \dfrac{2}{14}\\\\P(A \cap B) = P(A)P(B) = \dfrac{5 \times 2}{14^2} = \dfrac{5}{98}[/tex]

(there are 14 ways to select a ball, but 5 favorable ball for event A to occur, and 2 favorable balls for event B to occur,therefore the aforesaid probabilities.)

Thus, for this case, we get:

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Using translation concepts, it is found that the location of the treasure could be given by these following points:

A. point (1, 4) or point (-2, 1)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

We consider that he is at point (-2,4), hence:

Hence option A is correct.

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#SPJ1

Answer:

A monomial is any expression that only contains one term, and terms can only be divided by a plus and a minus sign

So the answer is B and C are not monomials rather they are binomial expressions

Answer:

18 sticks of pepperoni

Step-by-step explanation:

In order to solve this problem, we have to find out how many pepperoni sticks are needed for just 1 pizza. If it takes 14 sticks to make 28 pizzas, that means it takes only half a stick to make a single pizza.

Now that we have this information, we can multiply 1/2 by 36 to find out how many sticks of pepperoni are needed to make 36 pizzas.

[tex]\frac{1}{2} * 36\\\\\frac{1}{2} * \frac{36}{1} \\ =\\\frac{36}{2} \\ =\\\frac{18}{1}[/tex]

Therefore, it takes 18 sticks of pepperoni to make 36 pizzas. I hope this helps! Have a lovely day!! :)

Answer:

6 apples

Step-by-step explanation:

23 apples - 17 oranges

23 - 17

= 6

6 apples more than oranges

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The product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex], the correct option is A.

When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.

The multiplication of two algebraic equations can be expressed as a × b.

The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.

[tex]\rm =(3a + 5) \times( 2a^2 + 4a -2)\\\\= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\\\\ =6a^3+12a^2-6a+10a^2+20a-10\\\\=6a^3+22a^2+14a-10\\[/tex]

Hence, the product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex].

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Answer:

A. 6a^3 + 22a^2 + 14a - 10

Step-by-step explanation:

Ed22