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Vlad [161]
3 years ago
10

Which expression gives the volume of a sphere with radius 7?

Mathematics
2 answers:
masha68 [24]3 years ago
9 0
A. is your answer 

Hope this helps! :)
leva [86]3 years ago
7 0

Answer:  The correct expression is (A) \dfrac{4}{3}\pi(7)^3.

Step-by-step explanation:  We are given to select the correct expression that gives the volume of a sphere with radius 7 units.

We know that

the VOLUME of a sphere with radius 'r' units is given by

V=\dfrac{4}{3}\pi r^3.

Here, the radius of the given sphere is

r = 7 units.

Therefore, the volume of the sphere will be

V=\dfrac{4}{3}\pi r^3\\\\\\\Rightarrow V=\dfrac{4}{3}\pi (7)^3.

Thus, the required expression is \dfrac{4}{3}\pi(7)^3.

Option (A) is correct.

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Answer:

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Step-by-step explanation:

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4 years ago
The height of players on a football team is normally distributed with a mean of 74 inches, and a standard deviation of 1 inch. I
Andreas93 [3]

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 74 inches

σ = 1 inch

n = 50

x = 74 inches

the probability that a player is less than 74 inches tall is expressed as

P(x < 74)

For x = 74,

z = (74 - 74)/(1/√50) = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

Therefore,

P(x < 74)

The players less than 74 inches is

0.5 × 50 = 25 players

4 0
3 years ago
A triangle has vertices at (−4,−6),(3,3),(7,2). Rounded to two decimal places, which of the following is the closest approximati
Kryger [21]

The answer is

29.12

hope this helps

7 0
4 years ago
If an angle of 11pi/30 radian is in standard position. What is the reference angle in radian?
bixtya [17]

Answer:

\frac{11\pi}{30}

Step-by-step explanation:

The reference angle is an acute angle that angle in standard position makes with the positive x-axis.

The given angle in radians is

\frac{11\pi}{30}

This angle is already acute and hence it is itself a reference angle.

The reference angle of any angle in the first quadrant is the same angle.

4 0
3 years ago
A man serves 6 customers in 30 minutes. How many customers can be served in 2 hours?
vladimir2022 [97]

Answer:

24

Step-by-step explanation:

in one hour he can serve 12, hence 12x2=24

3 0
3 years ago
Read 2 more answers
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