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kolbaska11 [484]
3 years ago
10

The square pyramid has a volume of 27 cubic inches. What is the value of X?

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

9 inches

Step-by-step explanation:

base is rectangular in shape

Side of base of square pyramid is X inches

height of square pyramid is 1/9 X

Volume  of any pyramid is 1/3 *(area of base* height of pyramid)

area of base of square pyramid = Side of base * Side of base

as area of square is equal to side * side

area of base of square pyramid = x* x square inches = x^2 sq.\ inches

Volume  of  pyramid = 1/3 *(area of base* height of pyramid)

substituting given value of of volume of pyramid , height of pyramid and  area of base calculated above we have

27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9

Therefor value of x is 9 inches.

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Answer:

Y=mx+b, m= slope, b= y intercept, plug in. Y=3x+5

Step-by-step explanation:

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A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores
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Answer:

The 95% confidence interval for the difference of means is (7.67, 16.33).

The estimate is Md = 12.

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Step-by-step explanation:

We have to calculate a 95% confidence interval for the difference between means.

The sample 1 (this year's sales), of size n1=36 has a mean of 53 and a standard deviation of 12.

The sample 2 (last year's sales), of size n2=49 has a mean of 41 and a standard deviation of 6.

The difference between sample means is Md=12.

M_d=M_1-M_2=53-41=12

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{36}+\dfrac{6^2}{49}}\\\\\\s_{M_d}=\sqrt{4+0.735}=\sqrt{4.735}=2.176

The degrees of freedom are:

df=n_1+n_2-1=36+49-2=83

The critical t-value for a 95% confidence interval and 83 degrees of fredom is t=1.989.

The margin of error (MOE) can be calculated as:

MOE=t \cdot s_{M_d}=1.989 \cdot 2.176=4.328

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The 95% confidence interval for the difference of means is (7.67, 16.33).

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3 years ago
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Divide each term by - 1/4 first

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Now facor out - 1/4

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A rectangular box is 5 in. ​wide, 5 in. ​tall, and 4 in. long. What is the diameter of the smallest circular opening through whi
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