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cluponka [151]
4 years ago
15

A dome-shaped structure is in the shape of a half-sphere. The diameter of the dome is 30 yards long, as shown below. What is the

volume inside the dome? Explain how you got your answer.
somebody please help me! And please give me the correct answer
Mathematics
1 answer:
Akimi4 [234]4 years ago
4 0

Answer:

7068.58 yd³

Step-by-step explanation:

A half sphere would use the normal equation for the volume of a sphere and then divide it by two. The first step would be to find the radius of the sphere, which is half the diameter.

d=30 yd

r=d÷2

r = 30 yd÷2

r = 15 yd

Next, we need to use the volume of a sphere equation to find the volume of the full sphere.

V = 4×π×r³÷3

V = 4×π×15 yd³÷3

V = 4×π×3375 yd³÷ 3

V = 13500π yd³ ÷ 3

V = 4500π yd³

Next, we need to find the volume of the dome by dividing by 2.

V = 4500π yd³ ÷ 2

V = 2250π yd³

V = 7068.58 yd³

The total volume of the dome is 7068.58 yd³

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A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard
ser-zykov [4K]

Answer:

Option a) A 95% confidence interval for the mean diameter of the 120 bearings in the sample is 10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}.

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 120

Sample mean = 10 mm

Standard Deviation = 0.24 mm

Formula:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}

Hence, the correct interpretation for the confidence interval is given by option a).

A 95% confidence interval for the mean diameter of the 120 bearings in the sample is 10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}.

We have to consider the factor of sampling of 120 ball bearings from a population of 10,000 ball bearings.

8 0
3 years ago
Algebra Help! I appreciate any assistance.
Kruka [31]
90 = 2 · 3 · 3 · 5 = 2 · 3² · 5¹

If n has the form  3^x5^y  and  \frac{90}{n}  is an integer, then greatest possible value of n = 3² · 5¹ = 45
4 0
3 years ago
Read 2 more answers
Estion
Illusion [34]

Answer:

Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

Step-by-step explanation:

be Carmen's money "c", Goran's "g" and Henry's "h"

Now, we organize the equations and we are left with:

c + g + h = 127

h = 4 * g

c = g + 7

replacing in the main one we have:

g + 7 + g + 4 * g = 127

6 * g = 127 - 7

g = 120/6

g = 20

now replacing:

h = 4 * 20 = 80

c = 20 + 7 = 27

therefore, Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

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3 years ago
And aunt walks 42 feet and 3 minutes and how long will it take the ant walk 28 yards
pashok25 [27]

Answer:

392 minutes

Step-by-step explanation:

5 0
4 years ago
Leticia simplified an expression. Her work is shown below.
victus00 [196]

Leticia made a mistake in her step 2. She did subtraction before multiplication.

<h3 />

<h3>How to simplify an expression?</h3>

The expression can be simplified as follows;

4.5 ÷ 0.25 + 2.5 - 0.75 × 8

Hence, using Pemdas rule,

4.5 ÷ 0.25 + 2.5 - 0.75 × 8

18 + 2.5 - 0.75 × 8

18 + 2.5 - 6 = 14.5

Therefore, she made mistake in her step 2 because she was suppose to solve the multiplication before subtraction.

learn more on expression here: brainly.com/question/13545210

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