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9966 [12]
3 years ago
15

What is the volume of this sphere?

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer:

523.59 or 523.60

Step-by-step explanation:

Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)

(r is radius, V is volume)

V= 4/3 x π x r^3

The diameter is 10, so the radius is 5...

V= 4/3 x π x 5^3

V= 4/3 x π x 125

CALCULATER: 4 ÷ 3 x π x 125

Answer 523.59  (523.60 rounded)

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Find the sum of the first 35 terms in this geometric series:<br> 8- 12 +18...
Thepotemich [5.8K]

Answer:

4659553.9

I got 4659553.9 using the formula Sn = a1 (1 - r^n) / 1 - r

(35 fits into n)

4 0
3 years ago
The average heights of a random sample of 400 people from a city is 1.75 m. It is known that the heights of the population are r
Dimas [21]

Answer:

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So

\sigma = \sqrt{0.16} = 0.4

Then

M = 1.96*\frac{0.4}{\sqrt{400}} = 0.0392

The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m

The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

4 0
4 years ago
A number from 1 to 25 is chosen at random what is probability of choosing a factor of 10 , an even number or a 7, a smaller numb
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4 0
3 years ago
Choose the correct description of the graph of the compound inequality x − 1 less than or equal to 9 or 2x greater than or equal
DerKrebs [107]
X - 1 < = 9         or         2x > = 24
x < = 9 + 1                    x > = 24/2
x < = 10                        x > = 12

closed circle on 10, shaded to the left
closed circle on 12, shaded to the right

________10_______12__________
       <====X                 X======>
the X represents closed circles
8 0
3 years ago
Use the discriminant to determine how many real number solutions exist for the quadratic equations -4j+3j-28=0
aleksandr82 [10.1K]
<span>the correct equation is
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 ax² + bx + c,
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 The answer there is no real roots</span>
8 0
4 years ago
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