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3 years ago

8

A cone-shape mountain of garden soil is dumped on a flat surface. If the diameter of the mountain is 12 cm and its volume is 480

0 cm3 , how high is the mountain?

2 answers:

Alex3 years ago

5 0

Answer:

h = (4800 * 3)/(pi * 6^2) = 127.3

sukhopar [10]3 years ago

4 0

Answer:

Step-by-step explanation:

400cm

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Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

$Z = \frac{X - \mu}{\sigma}$

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

$Z = \frac{X - \mu}{\sigma}$

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

3 years ago

Solve for y.<br> 3x + 4y = z<br> -----------------

Georgia [21]

Answer:

y= z-3x/4

Step-by-step explanation:

4y=z-3x

y=z-3x/4

3 0

3 years ago

Sum of 500 consecutive integers is 250 . what is the product same 500 numbers

saw5 [17]

Answer:

250 and 2 because i think 250 multiply by 2 is 500

3 0

3 years ago

I just need help to solve these steps.

My name is Ann [436]

I dont think the answer is 129 unless you typed the problem in wrong. Order of operations say to do everything inside the perenthesis first so you would do the 3*2 which is 6 then divide the 12 by 6 and you get 2. so your new equation is 8^2+9(2)-7. Next distribute the 9 to the 2 that is inside the perenthesis. Square root the 8 also. Now it is 49+18-7. The answer would be 60 ...?

6 0

3 years ago

Expand 2(x-1) <br> Expand 3(2x+3)<br> Expand 7(x+5) <br> Expand 5(2x-y)

Agata [3.3K]

Those are the answers
2x-2
6x+9
7x+35
10x-5y

7 0

3 years ago