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Vesnalui [34]
3 years ago
5

A sphere with a diameter of 30 inches is placed in a cube. The sphere touches the lateral faces

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Answer:

a) 30 inches × 30 inches × 30 inches

b) 27,000 inches³

c) 14,130 inches³

d) 12,870 inches³

Step-by-step explanation:

Edge of the cube = diameter = 30 inches

Volume of cube = s³

30³ = 27000 inches³

Radius = 30/2 = 15

Volume of sphere:

(4/3) × 3.15 × 15³

14130 inches³

Difference:

27000 - 14130

12870 inches³

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Answer: E. All of the above statements are true

Step-by-step explanation:

The mean of sampling distribution of the mean is simply the population mean from which scores were being sampled. This implies that when population has a mean μ, it follows that mean of sampling distribution of mean will also be μ.

It should also be noted that the distribution's shape is symmetric and normal and there are no outliers from its overall pattern.

The statements about the sampling distribution of the sample mean, x-bar that are true include:

• The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.

• The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. • The sampling distribution's mean is the same as the population mean.

• The sampling distribution's standard deviation is smaller than the population standard deviation.

Therefore, option E is the correct answer as all the options are true.

7 0
3 years ago
A washer and a dryer cost $562 combined. The washer costs $88 less than the dryer. What is the cost of the dryer?
Yanka [14]

Answer:

<em>Let the dryer cost x.</em>

<em>Then, the washer costs (x+87)</em>

<em> </em>

<em>Together, they cost  (x) + (x+87) = 787</em>

<em>         2x+87 = 787</em>

<em>            2x = 700           [subtract 97 from both sides]</em>

<em>             x = 350             [divide both sides by 2]</em>

<em> </em>

<em>The dryer cost $350.</em>

<em> </em>

<em>Check:   The washer cost $437.  Together, they cost $787  [good to check, right?]</em>

<em></em>

<em><u>Hope this helps...</u></em>

8 0
3 years ago
Read 2 more answers
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Anni [7]

Answer:

equation of circle is (x+5)^2+(y-3)^2=16

Step-by-step explanation:

equation of circle (x-x_1)^2+(y-y_1)^2=r^2where r=redius of circle,[tex](x_1,y_1) is centre of circle

centre of circle=(-5,3)

put the value of centre and redius in the equation

equation of circle {(x+5)^2+(y-3)^2}=4^2

7 0
3 years ago
Re write the statement 19+7 divided by 2-5 by including one pair of brackets to make the total equal to 8
Oksanka [162]

Answer:

The solution is given below:

Step-by-step explanation:

The computation is shown below:

= 19 +  7 divided by 2 - 5

= (19 + 7) ÷ (2) - 5

= 26 ÷ 2 - 5

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Hence, after solving this the value would be 8

Therefore it is equal to the 8

Hence, the given statement is true

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2 years ago
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