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sweet-ann [11.9K]
3 years ago
8

Volume of a cone is 6pi cubic inches. What is the volume of a cylinder having the same base and same height? Explain your reason

ing.
Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0
Volume of a cylinder: pi*r^2*h
volume of a right cone: (1/3)*pi*r^2*h

the volume of the cylinder is triple the volume of the cone

it's 18 inch^3
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1. 2.5x + 100 = 600<br> 2. 10 = 2x - 4<br> 3. 2x + 5 = 30
Katarina [22]

Answer:

1) 200 2) 7 3) 12.5

Step-by-step explanation:

For god's sake, use a calculator

7 0
3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviat
nexus9112 [7]

Answer:

Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

Step-by-step explanation:

We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.

<em>Let X = diameters of bolts produced in a machine shop</em>

So, X ~ N(\mu=5.65,\sigma^{2} = 0.07^{2})

The z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

            \sigma = standard deviation

<u>Now, we have to find the two diameters that separate the top 4% and the bottom 4%.</u>

  • Firstly, Probability that the diameter separate the top 4% is given by;

        P(X > x) = 0.04

        P( \frac{X-\mu}{\sigma} > \frac{x-5.65}{0.07} ) = 0.04

        P(Z > \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = 1.7507

              x-5.65 = 0.07 \times 1.7507

                         x = 5.65 + 0.122549 = 5.77

  • Secondly, Probability that the diameter separate the bottom 4% is given by;

        P(X < x) = 0.04

        P( \frac{X-\mu}{\sigma} < \frac{x-5.65}{0.07} ) = 0.04

        P(Z < \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = -1.7507

              x-5.65 = 0.07 \times (-1.7507)

                         x = 5.65 - 0.122549 = 5.53

Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

4 0
3 years ago
Can someone help pleasee​
olya-2409 [2.1K]

Answer:

5

Step-by-step explanation:

Because if the one of the triangles are same, then the other triangle's length will be same.

3 0
3 years ago
The Arc Electronic Company had an income of 59 million dollars last year. Suppose the mean income of firms in the same industry
Zolol [24]

Answer:

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars

This means that \mu = 45, \sigma = 7

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.

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

Z = \frac{59 - 45}{7}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

7 0
2 years ago
Solve using the distributive property: 28 x 9
patriot [66]

Answer:

252

Step-by-step explanation:

9 x 28 = (9 x 20) + (9 x 8)

9 x 20 = 180

9 x 8 = 72

180 + 72 = 252

9 x 28 = 252

(hope this helps can I pls have brainlist (crown) ☺️)

7 0
2 years ago
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