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


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

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Answer:

x < -10/11

Step-by-step explanation:

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

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it should be the answer eighty

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
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87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
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Answers

Answer:

Step-by-step explanation:

Coco butter

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!

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

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Answer:

Obtuse.

Step-by-step explanation:

Please help!!!
I will give brilliance!!

Answers

Answer:

15

Step-by-step explanation:

sqrt 230 = 15.165...

What expression is equivalent to: 100​

Answers

Answer:

10 x 10, 2 x 50

Step-by-step explanation:

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:

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

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

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:

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 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

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

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:

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

a. 1 2/9

b. 16/99

c. 9/11

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B?????????? I’m pretty sure

Please answer this question

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Answer:

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

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?

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Answer:

1

Step-by-step explanation:

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

Answers

Answer:

576.97

Squared

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

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:

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

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!

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

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:

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

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

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

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

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:

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