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2 years ago

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Mathematics

1 answer:

earnstyle [38]2 years ago

3 0

The scale factor of the smaller figure to the larger figure is 4/25

<h3>Scale factors</h3>

Scale factors is used to enlarge or diminish the size of an object. The rato of the sides or volume of the figures is the scale factor.

Given the following

Surface area of small cylinder = 20πyd²

Surface area of large cylinder = 125πyd²

find the ratio

Scale factor = 20π/125π

Scale factor = 4/25

Hence the scale factor of the smaller figure to the larger figure is 4/25

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Dad bought $200,000 of term life insurance at the rate of $5.40 per thousand-dollar unit. How much is the annual premium?

irina1246 [14]

Answer:

It is clear that the annual premium = $1080

Explanation:

Given:

As the total term amount for life insurance is given in the question which is $200,000

rate per $1000 unit = $5.40

<em><u>Simple Calculation Procedure to get the annual premium: </u></em>

First step:

Let’s assume $1000 is one unit and the mentioned rate per $1000 unit is $5.40. Now, all you need is to find total number of $1000 units in total term insurance amount ($200,000).

So,

divide $200,000 by $1000 to establish the total number of

1000 units in $200,000 = $200,000/$1000 = 200

Second step:

As 200 is found to be the total number of $1000 units in $200,000.

So, just multiply 200 with $5.40 to ultimately find the annual premium

i.e. $5.40 × 200 = $1080

Hence, it is clear that the annual premium = $1080

Keywords: life insurance, annual premium, premium term rate

Learn more about annual premium from brainly.com/question/13633924

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3 0

3 years ago

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s o t)(-7)?

marishachu [46]

Answer:

The correct answer is A) -439

Step-by-step explanation:

8 0

3 years ago

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain yo

schepotkina [342]

Answer:

A. is the correct one. The statement makes sense.

Step-by-step explanation:

A. This is true because if you make your graph starting from the lowest value then the graph will use more space to fit the data and it will make it look bigger. Also, the variation will seem higher because it will feel that you are increasing it from 0, so the relative increase will be higher.

B. Reducing the range of the vertical axis will increase the relative size of variation, not make it decrease, as we explained in A.

C. Even though it is technically certain that the data shown is the same as before, the way to show data also matters. And by making changes on the presentation of your data you can obtain different results on the impression that leaves to people.

D. This is just false, because you are indeed dereasing the range of the vertical axis, not increasing it.

6 0

3 years ago

www.g The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulb

damaskus [11]

Answer:

$z=\frac{24-40}{8}=-2$

$z=\frac{40-40}{8}=0$

And then the percentage between 24 and 40 would be $\frac{95}{2}= 47.5 \%$

Step-by-step explanation:

For this problem we have the following parameters given:

$\mu = 40, \sigma =8$

And for this case we want to find the percentage of lightbulb replacement requests numbering between 24 and 40.

From the empirical rule we know that we have 68% of the values within one deviation from the mean, 95% of the values within 2 deviations and 99.7% within 3 deviations.

We can find the number of deviations from themean for the limits with the z score formula we got:

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