The pair of figures to the right are similar. what is the ratio of the perimeters and the ratio of the areas?

Mathematics

1 answer:

marissa [1.9K]1 year ago

3 0

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Step-by-step explanation:

first we divide the given sides of both figures

perimeter=side 1/side 2

=15/25

p=3/5

to find the ratios of the area

=(side 1/side 2)^2

=(3/5)^2

=9/25

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A boat travels 36 miles in 1.5 hours ans then in 14 miles in 0.75 hour. what is the average speed?

allochka39001 [22]

The average speed can be obtained by the formula:

$V_{\text{average}}=\dfrac{\text{total distance}}{\text{total time}}.$

If a boat travels 36 miles in 1.5 hours ans then in 14 miles in 0.75 hour, then find:

total distance is 36+14=50 miles;
total time: 1.5+0.75=2.25 hours.

Therefore,

$V_{\text{average}}=\dfrac{50}{2.25}=\dfrac{5000}{225}=\dfrac{200}{9}=22.(2)$ miles per hour.

Answer: $V_{\text{average}}=\dfrac{200}{9}=22.(2)$ miles per hour.

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3 years ago

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

$n = 1537, \pi = \frac{353}{1537} = 0.2297$