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2 years ago

Solve for 100 points

Mathematics

2 answers:

lesya [120]2 years ago

5 0

Answer:

3:5
9:25
3:5
3:5
27:125
3:5

Step-by-step explanation:

Here it is given that the scale factor of two cylinders is 3:5 . And we need to find out the ratios of circumference , surface area , height , diameter , volume and radii of the cylinders .

So let us assume that ,

Radius of first cylinder be 3x and that of second be 5x .
Height of first cylinder be 3y and that of second be 5y .

Formulas to be used :-

Circumference :- The base of cylinder is circle . So ,

$\longrightarrow C = 2\pi r$

Surface Area :- The curved surface area is ,

$\longrightarrow S.A. = 2\pi rh$

Diameter :-

$\longrightarrow d = 2r$

Volume :-

$\longrightarrow Volume = \pi r^2h$

Now refer to the attachment for answer .

BaLLatris [955]2 years ago

3 0

Answer:

1. 3:5

2. 9:25

3. 3:5

4. 3:5

5. 27:125

6. 3:5

Step-by-step explanation:

It is given that the scale factor of two cylinders is 3:5 . And we need to find out the ratios of circumference , surface area , height , diameter , volume and radii of the cylinders.

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9) Farmer Joe has lots of rabbits and lots of predators on his farm. Only 3 out of every 10 rabbits live

qaws [65]

<h2>Answer: 90 rabbits</h2>

<h3>Step-by-step explanation:</h3>

you will need 10 for every 3 rabbits so if you count in tens and three's

3=10

6=20

9=30

and so on..

when you get to 27 you'll be at 90

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8 0

2 years ago

Which of the following relationships represents a function?

belka [17]

Answer: c

Step-by-step explanation:

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3 years ago

The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probabili

Lena [83]

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

Step-by-step explanation:

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

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .