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3 years ago

Which of the following will be the ratio of the perimeter of the blue triangle to the red triangle.

SAT

1 answer:

Kazeer [188]3 years ago

8 0

The ratio (red to blue) of the perimeters of the similar triangles is 12:7

Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.

Perimeter of a triangle = s1 + s2 + s3

For the red triangle;

Perimeter of the red triangle = 12 + 12 + 12

Perimeter of the red triangle = 36

For the blue triangle:

Perimeter of the blue triangle = 7 + 7 + 7

Perimeter of the blue triangle = 21

Taking the ratio of their perimeters;

Ratio of red to blue = 36:21 = 12:7

Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7

Learn more here: brainly.com/question/15046223

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The access code for a card security system consist of four digits the first digit cannot be 4 and the last digit must be odd. Ho

Deffense [45]

Different codes for access code which are available are: 4000

_ _ _ _

1 2 3 4

1st blank can be filled with the following possibilities, here the conditions are:

1)The first digit cannot be 4

2)The first digit cannot be 0 also since it makes the access code 3 digits hence

From 1 to 9 except 4 there are 8 possible ways to fill that blank

8

2nd blank can be filled with any number between 0 to 9 in 10 possible ways

8 10

3rd blank can be filled with any number between 0 to 9 in 10 possible ways

8 10 10

4th blank can be filled with any odd numbers between 0 to 10 - 1,3,5,7,9

8 10 10 5 = 8 x 10 x 10 x 5 = 4000

Hence to conclude that 4000 available codes are there for the access security card

To know more about permutations and combinations please follow this link

brainly.com/question/1216161

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1 year ago

A North American Hummingbird's wings beat. approximately 53 beats per second. How many beals will the hummingbird's wings beat i

Butoxors [25]

Answer:

3,180 beats per minute

Explanation:

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3 years ago

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Expain 5 factors that can slow down the growth of democracy in Nigeria

VMariaS [17]

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3 years ago

Explain why a + b = d

marysya [2.9K]

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2 years ago

In a recent year, about 22% of Americans 18 years and older are single. What is the probability that in a random sample of 200 A

Pie

Using the normal approximation to the binomial, it is found that there is a 0.0107 = 1.07% probability that more than 30 are single.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

In this problem, the proportion and the sample size are, respectively, p = 0.22 and n = 200, hence:

$\mu = np = 200(0.22) = 44$

$\sigma = \sqrt{np(1 - p)} = \sqrt{200(0.22)(0.78)} = 5.8583$

The probability that more than 30 are single, using continuity correction, is P(X > 30.5), which is 1 subtracted by the p-value of Z when X = 30.5, hence:

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

$Z = \frac{30.5 - 44}{5.8583}$

Z = -2.3

Z = -2.3 has a p-value of 0.0107.

0.0107 = 1.07% probability that more than 30 are single.

More can be learned about the normal distribution at brainly.com/question/24663213

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2 years ago