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3 years ago

Which of the following could represent the scale factor of the larger figure to the smaller figure?

Mathematics

1 answer:

iren [92.7K]3 years ago

5 0

Answer:

3:2 and 21:14

Step-by-step explanation:

The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12

Simplify:

30:20 => 3:2

18:12 => 3:2

Therefore, the answer is 3:2

However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works

You might be interested in

A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. A sphere with a radius of 13 inches is inside

iris [78.8K]

Answer:

B: 4,599 inches

Step-by-step explanation:

6 0

3 years ago

If y=8 when x =3 find try when x=45

grin007 [14]

Fist of all, y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

Thus: y:x = 8:3

The problem would be finding y when x = 45

Let us proceed on using the previous equation and substitute x with 45 which would look like this:

y:45 = 8:3

Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:

y/45 = 8/3

Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

3y = 45 * 8

From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y

3y = 360

y = 120

Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:

y = 8 when x = 3 : y = ? when x = 45

This would make you understand what approach you can use to solve the given problem.

6 0

4 years ago

A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture chromium sh

denpristay [2]

Answer:

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.

This means that $\mu = 118, \sigma = 8$

Sample of 16 shells

This means that $n = 16, s = \frac{8}{\sqrt{16}} = 2$

What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"

This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.

X = 120

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

By the Central Limit Theorem

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

$Z = \frac{120 - 118}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.841

X = 116

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

$Z = \frac{116 - 118}{2}$

$Z = -1$

$Z = -1$ has a pvalue of 0.159

0.841 - 0.159 = 0.682

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

3 0

3 years ago

Find the equation of a line with y-intercept (0,8) and slope 3/5

allochka39001 [22]

Answer:

y = $\frac{3}{5}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{3}{5}$ and c = 8, thus

y = $\frac{3}{5}$ x + 8 ← equation of line

8 0

3 years ago

What is the greatest number of right angles a hexagon can have?

finlep [7]

So hexagon is 6 sides and 6 angles
it can have a max of 2 right angles
if you make an irregular hexagon with one of the lines going into the figure then the answer is 4

if you have all the lines outside of the hexagon then the max is 2

a geoboard is a board with pegs that you can put rubber bands on to form a figure. google it

4 0

4 years ago