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4 years ago

5

Please help me out :)

1 answer:

hichkok12 [17]4 years ago

3 0

Answer:

162π ft²

Step-by-step explanation:

The surface area (SA) of a sphere is

SA = 4πr² ← r is the radius

Calculate r from the volume, that is

V = $\frac{4}{3}$ πr³ = 972π

Multiply both sides by 3

4πr³ = 2916π ( divide both sides by 4π )

r³ = $\frac{2916\pi }{4\pi }$ = 729

Take the cube root of both sides

r = $\sqrt[3]{729}$ = 9, hence

SA = 4π × 9² = 4π × 81 = 324π

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The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 m

Zinaida [17]

Answer:

a

$G = 0.007523$

b

The number of cars the highway patrol officer would watch before a car that is seen is $E(X) = 1.6027$

The standard deviation is $s = 0.9829$

gg

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 71.5 \ miles/hour$

The standard deviation is $\sigma = 4.75 \ miles/hour$

The speed limit is $x = 70 \ miles /hour$

Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as

$p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})$

=> $p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})$

=> $p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )$

Here

$\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )$

So

=> $p= P(X > 70) = P(Z > -0.31579 )$

From the z-table

$p = P(Z > -0.31579 ) = 0.62392$

So

$p = P(X > 70) = 0.62392$

Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as

$q = 1 - p$

=> $q = 1 - 0.62392$

=> $q = 0.37608$

Generally the probability of getting 5 cars that are not speeding is mathematically represented as

$G = q^5$

=> $G = (0.37608)^5$

=> $G = 0.007523$

Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as

$E(X) = \frac{1}{p}$

=> $E(X) = \frac{1}{0.62392}$

=> $E(X) = 1.6027$

Generally the standard deviation is mathematically represented as

$s = \sqrt{\frac{1 - p }{ p^2} }$

=> $s = \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }$

=> $s = 0.9829$

8 0

3 years ago

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Irina-Kira [14]

Answer:

lol im not that person but i will still do it

Step-by-step explanation:

2x9=18

18+708=

726-888=

-162+1231=

1069

well ig the answer is 1069

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2 years ago

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Ilia_Sergeevich [38]

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3 years ago

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