A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random variable represents the number of teens who buy soda (pop) at least once each week. What is the value of n

Answers

Answer 1

Answer:

The value of n is 7.

Step-by-step explanation:

For each teen, there are only two possible outcomes. Either they buy soda at least once each week, or they do not. Since they were selected randomly, the teens are independent of each other, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In the binomial distribution, we have that n is the size of the sample. In this question, seven teens are randomly selected, which means that the value of n is 7.


Related Questions

what is -6/8 in decimal from

Answers

-6/8 in decimal form is -0.75

Write the following numbers in order of size
Start the smallest number first
75%, 7/10, 0.72, 0.9, 4/5

Answers

7/10,.72,75%,4/5,.9 hope this helped

Answer:

0.72 , 0.9 , 7/10 , 4/5

Step-by-step explanation:

This is how the order has to be and yeah

what is the value of f(g(1))​

Answers

Answer: 1

Step-by-step explanation:

All you had to do was multiply g by 1 so f(g(1)) as a value is 1

3х + Ч = 2x +6
Help please will make brainiest

Answers

Answer:

answer is x = 2

.... .. . . . .....

:-))

hope it helps you


In a pot of stationery, the ratio of paper clips to drawing pins is 4 : 5 and the
ratio of paper clips to bulldog clips is 3 : 2. Work out the ratio of paper clips to
drawing pins to bulldog clips.
I​

Answers

Sorry I just need to answer something. I Hope someone answers!!! 12345/6789

Can anyone please help me figure this problem out?​

Answers

Answer:

  x = 12

Step-by-step explanation:

Step(i):-

From graph,

             The angle of the triangle ∝ = 45°

   Given hypotenuse of the triangle

              AC = 12√2  and AB = x

Step(ii):-

we will choose sine function

            [tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]

            [tex]sin\alpha = \frac{x}{12\sqrt{2} }[/tex]

 Given that an angle ∝ = 45°

           [tex]sin45 = \frac{x}{12\sqrt{2} }[/tex]

           [tex]\frac{1}{\sqrt{2} } = \frac{x}{12\sqrt{2} }[/tex]

           [tex]\frac{1}{1 } = \frac{x}{12}[/tex]

          x = 12

Final answer:-

x = 12

Select the correct answer from each drop-down menu.

Joanne purchased a new computer for $1,700. She will need to pay $80 each month, Interest free, to pay off the total price of the computer. She

plans to put $150 each month in her savings account, which currently has a balance of $300.

Create an augmented matrix from a system of equations to help Joanne determine when she can pay off the total purchase price of the

computer.

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Answer:

Column 1 Row 1 is 150

Column 1 Row 2 is 80

Column 2 Row 1 is -1

Column 2 Row 2 is 1

Column 3 Row 1 is -300

Column 3 Row 2 is 1,700

Step-by-step explanation:

You can trust me on this. I have done my smart calculations to ensure I am 100% correct. If you think that I am wrong then you are a moron and ignorant.

What is the area of the obtuse triangle below?

Answers

Answer:

eleven times nine is ninety nine

Answer:

B.

Step-by-step explanation:

Milk is delivered to a store every 3 days. Bread is delivered to the store every 5 days. Both were delivered today. How many days until they are delivered again on the same day?

Answers

Answer:

15 days

Step-by-step explanation:

3x5=15 days

can someone please help ;)

Answers

10^2 - 6^2 = 64 = then square root it = 8

Donte scored 55 on his mastery exam. What percent did Donte score?

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete. First and foremost, to be able to solve this, we need to know the total marks of the examination.

Let's assume that the total marks for the exam is 80. Since Donte scored 55 on his mastery exam, the percent that he score will be:

= 55/80 × 100

= 68.75%

please help sort what goes where

Answers

SORT

I labeled in the picture provided a way these could be sorted. Greatest Valued Y points. That would be your explanation that states is required.

5. Explain the relationship between roots and exponents,
You explanation should contain 4-5 complete sentences and an original example, Be sure to also include the following words:
-radicand
-root
exponent

Answers

Exponent pretty’s sure but if not it roots

A tourist in Ireland wants to visit five different cities. If the route is

randomly selected, what is the probability that the tourist will visit the

cities in alphabetical order? Round your answer to three decimal places.

0.004

1.234

0.023

0.008

Answers

Answer:

0.008

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Total outcomes:

He will visit 5 different cities. So the total number of ways this can happen is an arrangment of 5 elements, that is:

[tex]T = A_{5} = 5! = 120[/tex]

Desired outcome:

In alphabetical order, so only one possible outcome, which means that [tex]D = 1[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{120} = 0.008[/tex

the formula of ONE INTERIOR ANGLE of a REGULAR polygon.

Answers

Answer:

180° - (360/n)°, where n is the number of sides of the polygon.

Step-by-step explanation:

Polygon has n sides.

Divide the polygon radially into n congruent, isosceles triangles.

For each triangle:

 vertex angle = (360/n)°

   sum of base angles = 180° - vertex angle = 180° - (360/n)°

Each interior angle of the n-gon = 180° - (360/n)°

Solve the Equation:
x=5 2/3=9

Answers

Answer:

sorry cnat help ya!

Step-by-step explanation:

PLS HELP GIVING 100 PTS I NEED IT FOR ASSIGNMENT PLS PLS HELP I GIVE BRANLIEST TOO!!!

Answers

Answer:

The percent error is 83.6.

the answer is 83.6% lol

About how many years will it take for $8500 to reach $12,000 at a simple interest rate of 3.5%

Answers

Answer:12

Step-by-step explanation:

8500 x 35% = 297.50 in simple interest per year

12000 - 8500 = 3500 in interest earned in total

3500/297.5 = 11.76 number of years to make total interest from amount per year.

If you round up, almost 12 years .

In Mr. Johnson’s third and fourth period class, 30% of the students scored an A or higher on a quiz. If 15 students scored an A or higher, how many students are in Mr. Johnson’s third and fourth-period classes
Answer quickly THANK YOU!!

Answers

50

15/50 is 0.3
0.3 = 30%

Answer:50

Step-by-step explanation:

15/30= 0.5 which is 1% of the class

Multiply by 100 to get 100% of the class

0.5x100 = 50

Jack and Jill both start at point A. They each walk in a straight line at an angle of 105° to each other. After 45 minutes Jack has walked 4.5km and Jill has walked 6km. How far apart are they? Round to the nearest hundredth.

Answers

Answer: The distance between them is 8.38 km

Step-by-step explanation:

Let's suppose both of them start at the point (0km, 0km), and that Jack walks along the positive x-axis, then Jill walks at an angle of 105° measured from the positive x-axis.

After 45 minutes, jack has walked 4.5km, then if his initial position was (0 km, 0 km)

Then his new position will be (4.5km, 0km)

Jill has walked 6km, but we need to write this in rectangular components.

We can think in this as a triangle rectangle, then the components will be:

x-component = 6 km*cos(105°) = -1.55 km

y-component = 6km*sin(105°) = 5.80 km

Then the new position of Jill is ( -1.55km, 5.80km)

Now, we know that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Jill and Jack will be equal to the distance between ( -1.55km, 5.80km) and (4.5km, 0km)

This is:

Distance = √( (-1.55km - 4.5km)^2 + (5.80km - 0km)^2)

Distance = 8.38 km

This means that they are 8.38km apart.

Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}

Answers

Answer:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Let us check the elements in set B.

[tex]x = 0 = 0^{2}[/tex]

[tex]x\:=\:1\:=\:1^2[/tex]

[tex]x\:=\:4\:=\:2^2[/tex]

[tex]x\:=\:9\:=\:3^2[/tex]

[tex]x\:=\:16\:=\:4^2[/tex]

[tex]x\:=\:25\:=\:5^2[/tex]

It is clear that each element in set B is a square of a whole number.

Thus, we can specify set of B by giving a written description of Its element in a variety of ways, such as:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }

Connor is cutting a 27 inch piece of wood. He cuts off 3 inches, and then cuts the remaining piece into 6 equal lengths of x feet each.

Answers

Answer:

4

Step-by-step explanation:

A DVD player is regularly priced at 79.95 and is on sale for 30% off. What is the discount?

Answers

Answer:

$2.40 or $77.55

Step-by-step explanation:

I don't know if you are asking for how much off or what, so I'm doing both

First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:

79.95 x 0.03 = 2.40

So 30% of 79.95 is $2.40

To find how much our new price sale is, we have to take that $2.40 off so our equation is:

79.95 - 2.4 = 77.55

So our discount price is $77.55

hope this helps:)

Given the function f(x) = 0.5 |x– 4| – 3, for what values of x is f(x) =7

O x = -24, x = 16

O x= -16, x = 24

O x= -1, x = 9

O x= 1, x= -9

Answers

Answer:

-16,24  B

Step-by-step explanation:

To solve this simplify the equation until it's just the absolute value brackets

7=.5 |x-4|-3

Add 3 to both sides and divide by .5 to get

20=|x-4|

Then solve this equation where the leftmost side is a positive and then a negative

So 20=x-4  

x=24

24 is one of our answers

Then solve it when the left side is a negative

-20=x-4

x=-16 which is the other answer

Find x. 40 pts and brainliest!

Answers

Answer: x = 6

Step-by-step explanation: In the equation "x / 2 = 3, rewrite the equation as "x = 2 x 3" and solve for "x." The solution is "x = 6."

Leslie is buying potatoes at a store. This graph shows the relationship between the number of pounds of potatoes she buys and the total cost



Based on the graph, what is the unit cost, in dollars, of the potatoes?

Answers

Answer: It’s 0.75 is my best guess. Let me know if that wrong

Step-by-step explanation:

Answer: It’s 0.75 is my best guess. Let me know if that wronger:

Step-by-step explanation:

Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property

Answers

Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

Greatest Common Factor:

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

Distributive property:

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

What is the estimated probability that Aidan's bus will be late every day next
week?
O A. 1 /10 = 10%
OB. 9 /10 = 90%
O c . 0 /10 = 0 %
O'D. 5/10 = 50 % ​

Answers

Answer:

a 1/10 10%

Step-by-step explanation:

x 16 28 44
y 8 14 22

determine whether y varies directly with x. if so find the constant of variation and write the function rule.

Answers

simple formula for that is y×2=x

find each quotient
-18/3
-5/-1
24/-6
-10/-1
-25/5
-8/2

Answers

Answer:

-6

-5

 -4

10

-5

-4

Step-by-step explanation:

Answer:

-18/3= -6

-5/-1= -5

24/-6 = -4

- 10/-1=10

-25/5=-5

-8/2=-4

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