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Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

The function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].

The zero of a function is any replacement for the variable that will produce an answer of zero.

Graphically, the real zero of a function is where the function's graph crosses the x-axis; that is, the real zero of a function is the x-intercept (s) of the function's graph.

The function which has zeros at x = 10 and x = 2 is;

[tex]\rm f(x)=(x-10)(x-2)\\\\f(x)=x(x-2)-10(x-2)\\\\f(x)= x^2-2x-10x+20\\\\f(x)=x^2-12x+20[/tex]

Hence, the function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].

To know more about the function click the link given below.

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Answer: A. f(x) = x^2 – 12x + 20

right on edge 2023 :)

The score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.

The average of the group of numbers is the ratio of the sum of all the numbers of the group to the total number of the group.

Lisa is currently taking physics as one of her electives in school.

Her grade at the end of the year is determined by the average of four exams, each worth 100 points.

She got exactly 80% in the course. Let she scores x marks in her fourth exam. Thus,

[tex]\dfrac{84+92+80+x}{4}=80\\256+x=80\times4\\x=320-256\\x=64[/tex]

Hence, the score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.

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Answer:

9(3+5)

Step-by-step explanation:

GCF is 9, because thats the highest common number that both numbers can be divided by.

27/9 = 3

45/9 = 5

so,

9(3+5)

Answer:

Step-by-step explanation:

To solve for n, isolate it on one side of the equation.

First, you have to subtract by 2 from both sides.

[tex]\Longrightarrow: \sf{3n+2-2=8-2}[/tex]

Solve.

Subtract the numbers from left to right.

[tex]\sf{8-2=6}[/tex]

Rewrite the problem.

⇒ 3n=6

Divide by 3 from both sides.

→ 3n/3=6/3

Solve.

Divide the numbers from left to right.

→ 6/3=2

[tex]\Longrightarrow: \boxed{\sf{n=2}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

n = 2    or....    n is 2

Step-by-step explanation:

When simplifying to find n, we do something to one side, but it also must be done to the other side. First, to get n alone, we would subtract 2. When doing this, we do it for both sides:

3n + 2 = 8

   -2       -2

3n = 6

Now, we divide n by 3 becuase right now it says 3 times n. We again do the same for both sides:

3n = 6

/3    /3

n = 2

So the answer is n = 2

n is 2.

Answer:

You factor that equation by seeing if you can take out anything. Example.

20 is the same as 2 times 2 times 5. Visualized, it is 2(10) or 4(5).

For this, you can take out the "2"

So it would be

2(x^2+1)

x^2+1 can't be factored so that is the final answer

Answer:

im not 100% sure but i think its 24lbs of grass seed

Step-by-step explanation:

6 devided by 399 squared=0.0000376882

0.0000376882 x 6384=0.24060150375

0.24060150375 x 100=

24 lbs to cover a area of 6384 square feet

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we can see in the given figure, The two triangles are congruent to each other by many criterias, so we can infer that Their corresponding sides are of equal length.

That is :

[tex]\qquad \tt \dashrightarrow \:2x + 5 = 13[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 13 - 5[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 8[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 8 \div 2[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 4[/tex]

Therefore, value of x is 4

Answer:

x = 4

Step-by-step explanation:

the point here is congruent triangles.

according to the image,

2x + 5 = 13 <---- subtract constants

2x = 13 - 5 = 8 <--- finalize

2x = 8 <----------- divide both sides by 2

2x / 2 = 8 / 2 <-- finalize

x = 4 <--- answer

Answer:

A. 28.27 ft^2

Step-by-step explanation:

You're looking for the area of the circle.
Area of circle = [tex]\pi r^{2}[/tex]
[tex]\pi (3)^{2}[/tex]
= 28.27 ft^2

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

To find the approximate distance the ball travels after making a full rotation around the triangle of friends, we need to calculate the sum of the distances between each pair of friends.

Distance between Luke and Serena:

√[(4 - 4)² + (9 - (-14))²]

= √(0 + 23²)

= √529

= 23 feet

Distance between Serena and Nick:

√[(4 - (-8))² + ((-14) - (-2))²]

= √(12² + (-12)²)

= √(144 + 144)

= √288

= 16.97 feet (approx.)

Distance between Nick and Luke:

√[((-8) - 4)² + ((-2) - 9)²]

= √((-12)² + (-11)²)

= √(144 + 121)

= √265

= 16.28 feet (approx.)

Now, to get the approximate total distance traveled, we add the distances together:

Total distance ≈ 23 + 16.97 + 16.28

                        = 56.25 feet

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

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The number of apples that are red is 50

From the question, we are to determine the number of apples that are red

From the given information,

The ratio of red apples to green apples is 5:2

∴ Sum of ratio = 5+2 = 7
and

Total number of apples in the basket = 70 apples

Then, the number of apples that are red is

[tex]\frac{5}{7} \times 70[/tex] apples

= 5 × 10

= 50 apples

Hence, the number of apples that are red is 50

Learn more on Caluculating ratios here: https://brainly.com/question/9477681

Answer:

our fraction is 75.438596491228/100, which means that 43/57 as a percentage is 75.4386%.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction or result by 100. [tex](\frac{43}{57})*100 = 75.44%[/tex] = 75%

*note that 75.44 is rounded, the original number is longer.

The number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

The number of  k-element combinations of n objects, with repetition is:

[tex]\overline{C}_{n,k} = \: ^{n + k-1}C_{k} = \dfrac{(n+k-1)!}{k! \times (n-1)!}[/tex]

For this case, we're given that:

Thus, we get:

[tex]\overline{C}_{n,k} = \dfrac{(n+k-1)!}{k! \times (n-1)!} = \dfrac{(4+3-1)!}{3! \times (4-1)!} \\\\\overline{C}_{n,k} = \dfrac{6!}{3!. 3!} = 20[/tex]

Thus, the number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

Learn more about combinations here:

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The Answer (maybe) :

Hello! good morning or night where ever you are.
I'm here to help with your question :)
I believe the answer is 9600

Step-by-step explanation:

[tex]75/100[/tex] [tex]x =[/tex] [tex]7200[/tex]

[tex]0.75[/tex] [tex]x = 7200[/tex]

[tex]x =[/tex] [tex]7200/0.75[/tex]

[tex]x =[/tex] [tex]9600.[/tex]
The previous price before the discount = 9600 pounds.

Checking:

[tex]25%[/tex]% [tex]of[/tex] [tex]9600[/tex]: [tex]2400[/tex]
[tex]9600 -[/tex][tex]2400=7200[/tex]

Answer/ Writer's note: I'm truly sorry if this incorrect :(

Signed - [tex]Lilo[/tex]

Answer:D V=2(r)(h)

Step-by-step explanation:

because al the other answers are incorrect

I'm not sure what the answer is but read some books and study also I believe relaxing music helps with homework struggles

Answer:

x is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the question we're given with an equation that is 5(x - 4) + 12 = 17 and we are asked to find the value of x .

Solution : -

[tex] \longmapsto \: 5(x - 4) + 12 = 17[/tex]

Step 1 : Solving parenthesis :

[tex] \longmapsto \:5x - 20 + 12 = 17[/tex]

Step 2 : Adding 20 on both sides :

[tex] \longmapsto \:5x - \cancel{20 }+ 12 + \cancel{20 }= 17 + 20[/tex]

[tex] \longmapsto \:5x + 12 = 37[/tex]

Step 3 : Subtracting 12 from both sides :

[tex] \ \longmapsto \: \:5x + \cancel{ 12} - \cancel{12} = 37 - 12[/tex]

[tex] \longmapsto \:5x = 25[/tex]

Step 3 : Dividing by 5 on both sides :

[tex] \longmapsto \: \frac{ \cancel{5}x}{ \cancel{5} } = \cancel\frac{25}{5} [/tex]

[tex] \longmapsto \: \red{ \boxed{\bold{x = 5}}}[/tex]

Verifying :

We are verifying our answer by substituting value of x in Given Equation :

Therefore , our value for x is correct .

Answer:

Answer D (.22)

Step-by-step explanation:

If Brainly would stop deleting my answer, your answer is D (.22).

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I see you already got other answers but I'm going to offer a more in depth explanation to help with similar questions in the future.

The equation you have here is in the form of y = mx + b

You may have seen this in one of your lessons, maybe refered to as slope, y-intercept form?

We have y = -6x + 640

If we break it down we can see how this is in y = mx + b form.

y is the ounces of water in a water cooler

x is the number of paper cups filled

-6 is our m

and 640 is our b

The question is asking about 640 (our b) so I will talk about that first.

This is the y-intercept, the point where, if we were to graph this (see attachment, green dot on the line), that the line would cross the y-axis. This is the point where x is zero.

In our case this would be the amount of water in the cooler when we have filled zero paper cups with water. Hence the answer being D.

Now I will explain the m value, -6 in this case.

This is the rate of change (or slope).

For this question it is how much water we take out (negative value) per paper cup. In other words, how much water goes into each paper cup, -6 ounces.

Take a look at the second attachment. You can see that I go 6 hops down and 1 hop right (yellow line). This is because we always view our m value as a fraction.

In this case, because we have -6, it appears to not be a fraction but a whole number. Always remember that any whole number is just a fraction over 1. We can rewrite our -6 as -6/1.

Slope is written as rise/run. This means that we rise (vertical, up & down) by our top (numerator) value (in this case go down 6, because the 6 is negative) and run (horizontal, left & right) by our bottom (denominator) value (in this case go right 1, because the 1 is positive).

***Remember: positive rise, go up; negative rise, go down. Positive run go up; negative run go down.

Hope this will help you in the future!

Answer:

The answer is -5

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

Like terms have same variable with same power. Combine the like terms. Add / subtract the coeffiecient of the like terms.

9x² and 9x² are like terms

-8 and 3 are like terms.

9x² - 8 + 9x² + 9x + 3 = 9x² + 9x² +9x - 8 + 3

                                   = 18x² + 9x - 5

Answer:

check the explaination :) hope this helped

Step-by-step explanation:

V of large cone =  1107 π m^3

V of small cone = 405 π m^3

Total V =   1512 π m^3

Answer:

The answer is 21

Step-by-step explanation:

The parallelogram is divided into two congruent traigle so the area of green traigle is equal to area of blue traigle the sum of area of both these traigle is the area of parallelogram

So

2*10.5=21

PLEASE

Answer:

Its c!

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

26

Step-by-step explanation:

Mode is a number or data in a set of data values with the highest frequency( the amount of times it appears)

Since 26 appears twice while others appear once, 26 is the mode

Answer:

Consumer rights and consumer protection law provides a way for individuals to fight back against abusive business practices. These laws are designed to hold sellers of goods and services accountable when they seek to profit by taking advantage of a consumer's lack of information or bargaining power.

Step-by-step explanation:

Individuals can use consumer rights and consumer protection laws to fight back against unfair company practices.

Consumer rights refer to a corpus of legislation that governs what manufacturers of goods must do to safeguard their consumers from damage.

These statutes arose from a succession of court battles, and they have been influenced by the outcomes of those battles.

These rules are intended to hold retailers and service providers responsible when they seek to benefit from a consumer's lack of knowledge or bargaining power.

More about the consumer rights link is given below.

https://brainly.com/question/7644542

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Answer:

Step-by-step explanation:

c