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Masja [62]
3 years ago
5

Can someone help me with this and explain it to me?? I figured out a and b but need help on C. Thank you!!

Mathematics
1 answer:
kramer3 years ago
6 0

Step-by-step explanation:

Volume of a sphere is:

V = 4/3 π r³

where r is the radius (half the diameter).

The volume of each sphere is:

V = 4/3 π (4 ft / 2)³ = 32/3 π ft³ ≈ 33.510 ft³

V = 4/3 π (2 ft / 2)³ = 4/3 π ft³ ≈ 4.189 ft³

V = 4/3 π (1 ft / 2)³ = 1/6 π ft³ ≈ 0.524 ft³

V = 4/3 π (1/2 ft / 2)³ = 1/48 π ft³ ≈ 0.065 ft³

The weight of each sphere is:

W = 33.510 ft³ × (62.4 lb/ft³) = 2091.044 lb

W = 4.189 ft³ × (62.4 lb/ft³) = 261.381 lb

W = 0.524 ft³ × (62.4 lb/ft³) = 32.673 lb

W = 0.065 ft³ × (62.4 lb/ft³) = 4.084 lb

The total weight is 2389.181 lb.

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podryga [215]
The answer would be C. When you calculate the mean, it includes every number for a certain period of time into things and averages it out. The median does not average out all the numbers.
4 0
3 years ago
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Plz g0ive me solution
Serga [27]

Answer:

separate the x from the numbers it will make the equation easier

8 0
2 years ago
Solve (get the variable by itself): m / (-4) = -2.95
kenny6666 [7]
M / -4 = -2.95
As you can see, the variable m is currently in a fraction with a denominator of -4. So to get ride of the fraction and find m and its value, you should multiply both sides by the denominator of the fraction, which is in our case -4.
So m / -4 = -2.95
(m/-4) * -4 = -2.95 * -4
m = 11.8

You can recheck your answer (very important):
m / -4 = 11.8 / -4 = -2.95
The answer has been approved.

Hope this Helps! :)
7 0
3 years ago
Please help!
Angelina_Jolie [31]

Answer: 72

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6 0
2 years ago
Salaries for various positions can vary significantly depending on whether the company is in the public or private sector. The U
DIA [1.3K]

Answer:

a) 0.004

b) 0.9609                                                

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 76503

Standard Deviation, σ = 8850

We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(salary greater than 100,000)

P(x > 100000)

P( x > 100000) = P( z > \displaystyle\frac{100000 - 76503}{8850}) = P(z > 2.655)

= 1 - P(z \leq 2.655)

Calculation the value from standard normal z table, we have,  

P(x > 100000) = 1 - 0.996 = 0.004  = 0.4\%

b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)

Sample size, n = 20

Standard error due to sampling =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{8850}{\sqrt{20}} = 1978.92

P(70000 \leq x \leq 80000) = P(\displaystyle\frac{70000 - 76503}{1978.92} \leq z \leq \displaystyle\frac{80000-76503}{1978.92})\\\\ = P(-3.286 \leq z \leq 1.767)\\\\= P(z \leq 1.767) - P(z < -3.286)\\=0.9614 - 0.0005= 0.9609 = 96.09\%

P(70000 \leq x \leq 80000) = 96.09\%

7 0
3 years ago
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