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3 years ago

This composite figure has been divided into three rectangles.

Mathematics

1 answer:

tangare [24]3 years ago

4 0

Answer:

I think it is 62.

Step-by-step explanation:

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The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in

vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = $\frac{11}{6}$

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = $\frac{121}{36}$

3 0

3 years ago

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What pr

konstantin123 [22]

Answer:

2.28% of tests has scores over 90.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 80, \sigma = 5$

What proportion of tests has scores over 90?

This proportion is 1 subtracted by the pvalue of Z when X = 90. So

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

$Z = \frac{90 - 80}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772.

So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.

8 0

3 years ago

A married couple had a combined annual income of 63,000. The wife made 7,000 more than her husband. What was each of their incom

Alchen [17]

The wife made 33,500 and the husband made 29,500

4 0

3 years ago

Read 2 more answers

What is the area of the shaded region?

kolezko [41]

Answer:

110 cm^2

Step-by-step explanation:

The first thing that you need to do is find the area of triangle AFE. The area of a triangle is always base*height/2. So in this case, that would be 10*6 divided by 2, which is 30 cm. Next, you will need to know the area of triangle ECB. Using that same formula, you will get 8*10/2, which is 40 cm. Finally, you will need to find the area of the whole rectangle. The area of a rectangle is always the length times the width. In this case, you would have 10*18, which is 180 cm. To get your final answer, you need to subtract the areas of the unshaded area from the whole area. That would be 180-(30+40), which is 110 cm. I hope this helped!

6 0

3 years ago

A survey asked 50 students if they play an instrument and if they are in band.

Strike441 [17]

Answer:

I believe it is D

Step-by-step explanation:

If I am correct please mark Brainlyiest

6 0

2 years ago

Read 2 more answers