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In-s [12.5K]
2 years ago
10

PLEASE help me with this question!! I really need help!

Mathematics
2 answers:
pochemuha2 years ago
6 0
First, use the volume of sphere formula by plugging in the volume into the equation to get the value of r cubed. Then get r by determining the cube root of r cubed. Once you have the value of r, plus that into the surface area of sphere formula to get the surface area of the balloon. Answer: 324pi inches squared (use radian mode on calculator)

alexdok [17]2 years ago
5 0

Answer:

324π in²

Step-by-step explanation:

The surface area of a sphere = 4πr² ( r is the radius )

Calculate r using the volume (V) formula

V = \frac{4}{3}πr³

Here V = 972π , thus

\frac{4}{3}πr³ = 972π ( divide both sides by π )

\frac{4}{3}r³ = 972 ( multiply both sides by 3 to clear the fraction )

4r³ = 2916 ( divide both sides by 4 )

r³ = 729 ( take the cube root of both sides )

r = \sqrt[3]{729} = 9

Thus

surface area = 4π × 9² = 4π × 81 = 324π in²

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A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop
Helen [10]

Answer:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

But we need to calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_I}{n}

And replacing we got:

\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072

And for the sample variance we have:

s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance \sigma^2

E(s^2) = \sigma^2

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

But we need to calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_I}{n}

And replacing we got:

\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072

And for the sample variance we have:

s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance \sigma^2

E(s^2) = \sigma^2

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3 years ago
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Slav-nsk [51]

Answer:

  x = 10

Step-by-step explanation:

For the lines to be parallel, the two angles must have the same measure:

  80 - x = 90 - 2x

  x = 10 . . . . . . . . . add 2x-80

The value of x must be 10 to make the lines parallel.

6 0
3 years ago
Solve for x: 2(3x -6) - 3(2x - 1)
lys-0071 [83]

Answer:

I don't know what you are saying for solve for x though if your saying simplify

simplify answer: -9

If 2(3x-6) = 3 (2x-1) answer: No solution

If 2(3x-6) = -3 (2x-1) answer: x = 1.25

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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