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nadya68 [22]
3 years ago
15

What is the radius of a sphere whose surface area is 100 square centimeters?

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

The formula for determining the surface area of a sphere is expressed as

Surface area = 4πr^2

Where

r represents the radius of the sphere

π is a constant whose value is 3.14

From the information given,

Surface area of the sphere = 100 centimeters ^2. Therefore,

100 = 4 × 3.14 × r^2

100 = 12.65r^2

r^2 = 100/12.65 = 7.9051

r = √7.9051

r = 2.81 centimeters

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Find the sum<br> 4 1/2 + 5 1/2
Otrada [13]

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Step-by-step explanation:

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0.032 0.90 0.088 from greatest to least
ioda

Answer:

0.9 , 0.088 , 0.032

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0.9 --> 1st greatest

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Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th
butalik [34]

Answer:

a). The mean = 1000

     The variance = 999,000

     The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

             = 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean =   $\mu = \frac{1}{p}$

              = $\mu = \frac{1}{0.001}$

              = 1000

  Variance =   $\sigma ^2=\frac{1-p}{p^2}$

                  = $\sigma ^2=\frac{1-0.001}{0.001^2}$

                           = 999,000

   The standard deviation is determined by the root of the variance.

    $\sigma = \sqrt{\sigma^2}$

        = $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000  times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

  = $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0
3 years ago
PLS HELP TIMED
sasho [114]

Answer:

b

Step-by-step explanation:

using the distributive property you get b

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