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Anna [14]
3 years ago
5

Harry measures the big prize wheel on a game show and calculates that it has an area of 12.56 square yards. What is the prize wh

eel diameter?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

The prize wheel diameter is 4.00 yards

Step-by-step explanation:

Area (A) = πd^2/4

πd^2 = 4A

d^2 = 4A/π

d (diameter) = √(4A/π)

A = 12.56 square yards, π = 3.142

d = √(4×12.56/3.142) = √15.99 = 4.00 yards

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If Angie spins the spinner 250 times, predict the number of times it will land on green.
Nadusha1986 [10]

Answer: 2500

Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.

6 0
3 years ago
The function p(x) = –8x2 – 64x can be written in vertex form p(x) = a(x – h)2 + k, where a =
nydimaria [60]
Means compplete the square on one side

basically get into form f(x)=a(x-h)^2+k


ok, group x terms
p(x)=(-8x^2-64x)
factor out linear coefient (-8)
p(x)=-8(x^2+8x)
take 1/2 of the linear coefient and square it
8/2=4, 4^2=16
add positive and negaitve of that inside parntheaese
p(x)=-8(x^2+8x+16-16)
factor perfect square
p(x)=-8((x+4)^2-16)
expand
p(x)=-8(x+4)^2+128

in vertex form it is p(x)=-8(x+4)^2+128
3 0
4 years ago
Your class is learning to tie knots. Each student needs a piece of rope that is 38 yard long. How many yards of rope are needed
djyliett [7]
38 yard piece for each student and there are 16 students:

38*16=608

608 yards needed for your class
6 0
3 years ago
Read 2 more answers
Suppose a sample of 1537 Americans over 46 is drawn. Of these people, 1245 don't smoke. Using the data, estimate the proportion
Dmitry_Shevchenko [17]

Answer:

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

\hat p = \frac{X}{n}

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

\hat p = \frac{292}{1537}= 0.190

Step-by-step explanation:

For this case we deine the parameter of interest p as the proportion of Americans over 46 who smoke.

We know the following info provided:

1245 people don't smoke

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

\hat p = \frac{X}{n}

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

\hat p = \frac{292}{1537}= 0.190

3 0
3 years ago
What is the value of X?
nasty-shy [4]

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

6 0
3 years ago
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