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Anna71 [15]
3 years ago
13

Find the surface area of the cylinder leave your answer in terms of pie

Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

54π cm²

Step-by-step explanation:

It's pi, or π, but definitely not "pie."

The surface area has two parts:  the vertical side and the two ends.

The formula for the area of the vertical sides is A = πr²h, where r is the radius and h is the height.  Here, we have:

A = π(3 cm)²(5 cm) = 45π cm²

Each of the ends has the following area:  A = πr², or A = 9π cm²

Thus, the total surface area of the cylinder is 45π cm² + 9π cm², or 54π cm²

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In which of these examples, binomial distribution can be used? a) Finding the best month to launch a new product b) Accurately p
irina1246 [14]

Answer: The answer is (d) Accurately predicting who will be promoted at work.


Step-by-step explanation:  We are given four options and asked in which of these four, we can use binomial distribution.

Binomial distribution is used in that experiments where there are only two outcomes, either success or failure.

In the given four options, (a), (c) and (d) are incorrect, because the number of outcomes are not fixed there and hence we cannot use binomial distribution.

Only option (b) will serve our purpose, as we are accurately predicting who is getting promoted at work.

Thus, the correct option is (b).


7 0
3 years ago
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and
TiliK225 [7]

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 117, \sigma = 10.6, n = 6, s = \frac{10.6}{\sqrt{6}} = 4.33

What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?

This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.

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

By the Central Limit Theorem

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

2.33 = \frac{X - 117}{4.33}

X - 117 = 2.33*4.33

X = 127.1

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

6 0
3 years ago
What is the answer?<br> xy = 30<br> and x + y = 18
drek231 [11]

from second equation y = 18-x so:-

x(18 - x) = 30

x^2 - 18x + 30 = 0

x = 16.14, 1.86


when x = 16.14 y = 18-16.14 = 1.86

when x = 1.86, y = 16.14


so one variable = 16.14 and the other = 1.86 Answer

3 0
2 years ago
A box of 15 cookies costs $9.<br> What is the cost for 1 cookie? <br> $_____
mel-nik [20]

Answer:

15 box of cookies =$9

1 box of cookie = $9/15=$0.6

6 0
2 years ago
Read 2 more answers
Luke is going to a carnival that has games and rides. Each game costs $3.50 and each ride costs $4.50. How much would Luke have
Svetach [21]

Answer:

28$ games and 45$ for rides so 73$

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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