Marcus reads in a magazine article that 62% of teenagers prefer Batman over Iron Man. He decides to test this so he takes a simple random sample of 50 people at Wal-Mart on a Sunday afternoon. What is the probability that he finds exactly 40 Batman fans? Round to the nearest thousandth.

Answers

Answer 1

Answer:

The probability is 0.003

Step-by-step explanation:

If 62% prefers Batman, the percentage that prefers Iron man will be (100-62)% = 38%

So the probability of finding a teenager that likes batman will be 62/100 = 0.62

The probability of finding a teenager that prefers iron man will be 38/100 = 0.38

Now, we want to find the probability that out of 50 people at Walmart on a Sunday, exactly 40 prefers Batman

We can use the Bernoulli approximation of the binomial theorem ;

let probability of liking Batman be q and that of iron man be q

Thus the approximation will be;

P(X = 40) = 50 C 40 (0.62)^40 (0.38)^10

= 0.003200147531

To the nearest thousandth, this is 0.003


Related Questions

Can someone help explain this To me? I need help

Answers

Answer:

x=18

Step-by-step explanation:

XZ/RT=XY/RS

60/40=(5x-3)/(3x+2)

1.5=(5x-3)/(3x+2)

1.5(3x+2)=5x-3

4.5x+3=5x-3

9=0.5x

18=x

What is an equation of the line that passes through the points (-2,-5) and (4,7)

Answers

-2+5=4+7 FINALLY ANSWER

Answer:

y=2x-1

Step-by-step explanation:

the other person is wrong

A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?

Answers

Answer:

You get a total of two hours of parking.

Step-by-step explanation:

First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!

What expression is equivalent to: 100​

Answers

Answer:

10 x 10, 2 x 50

Step-by-step explanation:

anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out

Answers

Answer:

Step-by-step explanation:

Coco butter

Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\

Answers

Answer:

y = 4 x + 7

Step-by-step explanation:

The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Complete the explanation. The two numbers are . 60 is a multiple of each of its factors. The factors with a difference of 7 are , and their LCM is 60.

Answers

Explanation: As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} ,5 & 12 is the only two pair of numbers whose difference is 7 .

Answer: 5 & 12

You might need
4.
3
2
1
-4 -3
-2
-1
1
2
CAS
3
4
-1-
1
-2
-3
-4+
What is the slope of the line?

Answers

Answer:

1

Step-by-step explanation:

could someone help me out with this problem I'm not that great at math​

Answers

Answer:

Obtuse.

Step-by-step explanation:

what is the answer of 3x-5>1/2x+8x?

Answers

Answer:

x < -10/11

Step-by-step explanation:

Perform the indicated operation.
4/11 ÷ 4/9

a. 1 2/9

b. 16/99

c. 9/11

please explain how to do it as well xc​

Answers

B?????????? I’m pretty sure

What is the slope on this graph PLEASE HELP FAST!!!

Answers

Answer:

slope = 6

Step-by-step explanation:

slope = rise/run

rise = 12 run = 2

The double number line shows that 4 bottled of water cost 20 dollars at a music

Answers

it should be the answer eighty

Joshua's cousin pledged $12 for a charity walk. If Joshua walked 3 miles, how much did his cousin pay per mile?

Answers

$12 divided by 3 miles = 4 dollars per a mile.would you mind marking me brainliest

Answer:

$4

Step-by-step explanation:

If the measure of ∠2 is 83°, what is the measure of ∠3?

Answers

Answer:

97 degress

Step-by-step explanation:

2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.

The measure of ∠3 is 97°.

What are supplementary angles?

If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.

Given two lines intersect and form angles

∠1, ∠2, ∠3, ∠4

and ∠2 = 83°

here ∠2 and ∠3 form supplementary angles,

them ∠2 + ∠3 = 180°

83 + ∠3 = 180

∠3 = 180 - 83

∠3 = 97°

Hence measure of ∠3 is 97°.

Learn more about supplementary angles;

https://brainly.com/question/13045673

#SPJ2

PLZ HELP ME! What is this! I need help! y = -3x/5 + 2

Answers

Answer:

That is the slope intercept form

Step-by-step explanation:

PLZ ANSWER URGENT
A).1+ 4x+2/2x=5x
b).2x-2+3x/4=2x

Answers

A.

Divide the numbers

1 + 4x 2/2 • x =5x

1 + 4x + 1x =5x

Multiply by 1

1 + 4x + 1x=5x

Combine like terms

1 + 4x + x =5x

1 + 5x =5x

Subtract 1 from both sides of the equation

5x + 1 = 5x

5x + 1 - 1 =5x -1

Simplify

Subtract the numbers

5x = 5x -1

Subtract 5x from both sides of the equation

5x = 5x -1

5x - 5x = 5x -1 -5x

Simplify

0= -1

Result

0= -1

idk the ans in letter B

Evaluate the expression, -1 x (-0.1 x -5 + 0.5)​

Answers

Answer:

-1

Step-by-step explanation:

-1 x (-0.1 x -5 + 0.5)

= -1 x 1

= -1

A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?

Answers

Answer:

40,000 songs, I think

Step-by-step explanation:

Please help!!!
I will give brilliance!!

Answers

Answer:

15

Step-by-step explanation:

sqrt 230 = 15.165...

Please answer this question

Answers

Answer:

if it is a square, then it must be a quadrilateral

At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?

A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt

B. Teen Tops is the better buy because the packages has more T-shirts

C. Bargain City is the better buy because $34 is less than $38

D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt

Answers

Answer:

D

Step-by-step explanation:

A sequence can be generated by using fn = 2f(n-1)+1, where f1 = 4 and n is a whole number greater than 1. What are the first four terms in the sequence?

Answers

Answer:

{9,19,39,79}

Step-by-step explanation:

Recursive Sequences

The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:

f(n) = 2f(n-1)+1

f(1) = 4

To find the first four terms of the sequence, we set n to the values {2,3,4,5}

For n=2

f(2) = 2f(1)+1

Since f(1)=4:

f(2) = 2*4+1

f(2) = 9

For n=3

f(3) = 2f(2)+1

Since f(2)=9:

f(3) = 2*9+1

f(3) = 19

For n=4

f(4) = 2f(3)+1

Since f(3)=19:

f(4) = 2*19+1

f(4) = 39

For n=5

f(5) = 2f(4)+1

Since f(4)=39:

f(5) = 2*39+1

f(5) = 79

10.
There are estimated 255 births every minute of every day. How many babies are born in the
world each hour?
255
6,120
12,250
15,300

Answers

Answer:

15,300

Step-by-step explanation:

multiply the estimated total number of births (255)

times 60 because there is 60 minutes in an hour

255*60= 15,300

Answer:

15,300

Step-by-step explanation:

1 hour: 60 minutes

60 x 255 = 15,300

12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S

Answers

Answer:

576.97

Squared

Write the equation of the line through the points (-6, -19) and (2,5).

Answers

Answer:

m = 7/2              y = 7/2x + b

Step-by-step explanation:

what -45 divided by 75

Answers

Answer:

-0.6

Step-by-step explanation:

The answer is negative because -45 was a negative number.

I didn't explain that very well :|

Hope I helped :)

Can I get Brainliest anyway, even though I did a terrible job explaining? .-.

the answer is -0.6 or -3/5

Find the slope passes through (-5,2) and (3,3)

Answers

Answer:

1/8

Explanation:

y2-y1/x2-x1

3-2/3-(-5) = 1/8

A student evaluated −4 + (−9 1/2) and got an answer of 5 1/2. What might the student have done wrong?

Answers

Answer:

Never converted -9 1/2 into an improper fractionAdded the two numbers together instead of subtracted

I hope this helps!

A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.

Answers

Answer:

The rock takes 4.18 seconds to hit the ground

Step-by-step explanation:

Function Model

The height of a rock h, after t seconds, can be modeled by the polynomial function:

[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]

When the rock hits the ground, the height is 0, thus we need to find the value of t such as:

[tex]-4.9t^2+20t+2=0[/tex]

A quadratic equation can be expressed as:

[tex]at^2+bt+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The values for the given equation are:

a=-4.9, b=20, c=2

Applying the formula:

[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]

[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]

[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]

There are two possible solutions:

[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]

[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]

Since t > 0, the only solution is t=4.19 seconds

The rock takes 4.18 seconds to hit the ground

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