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3 years ago

What is 12x – 20 – 5(x – 3)?

Mathematics

2 answers:

OlgaM077 [116]3 years ago

8 0

Answer:

ddddddddddddc daf a reag ehh fdsh

Step-by-step explanation:

Kazeer [188]3 years ago

5 0

Answer: =7x−5

Step-by-step explanation: Hope this help :D

Let's simplify step-by-step.

12x−20−5(x−3)

Distribute:

=12x+−20+(−5)(x)+(−5)(−3)

=12x+−20+−5x+15

Combine Like Terms:

=12x+−20+−5x+15

=(12x+−5x)+(−20+15)

=7x+−5

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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

In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.2 2.2% with a standard deviation of 6.3 6.3%.

Svet_ta [14]

Answer:

a) 0.625; b) 16.879; c) 8.442

Step-by-step explanation:

Since this is a normal distribution, we want the value of the mean, μ: 2.2; and the value of the standard deviation, σ: 6.3.

For the 40th percentile, we look in a z chart. We want to find the value as close to 0.40 as we can get; this is 0.4013, and it corresponds to a z score of z = -0.25.

Our formula for a z score is $z=\frac{X-\mu}{\sigma}$ . Using our values, we have

-0.25 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.25) = X-2.2

-1.575 = X-2.2

Add 2.2 to each side:

-1.575+2.2 = X-2.2+2.2

0.625 = X

For the 99th percentile, the value in the z chart closest to 0.99 is 0.9901, which corresponds to a z score of z = 2.33:

2.33 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(2.33) = X-2.2

14.679 = X-2.2

Add 2.2 to each side:

14.679+2.2 = X-2.2+2.2

16.879 = X

For the IQR, we find the values for the 75th percentile (Q3) and the 25th percentile (Q1). The value in a z chart closest to 0.75 is 0.7486, which corresponds to a z score of z = 0.67:

0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(0.67) = X-2.2

4.221 = X-2.2

Add 2.2 to each side:

4.221+2.2 = X-2.2+2.2

6.421 = X

The value in a z chart closest to 0.25 is 0.2514, which corresponds to a z score of z = -0.67:

-0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.67) = X-2.2

-4.221 = X-2.2