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Ket [755]
2 years ago
10

In order for Figure Y to be similar to Figure X, the scale factor would be?

Mathematics
1 answer:
satela [25.4K]2 years ago
6 0

Answer:

Step-by-step explanation:

since both the figures are similar, the ratio of the corresponding sides will be constant. We will see the ratio of the corresponding sides

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Which property of equality would you use to solve the equation 14x=56
Oliga [24]
Okay so divide 56 by 14 and so x = 4
4 0
3 years ago
The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is dra
olga2289 [7]

Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

<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.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, these parameters are given as follows:

\mu = 180, \sigma = 20, n = 40, s = \frac{20}{\sqrt{40}} = 3.1623

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:

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

By the Central Limit Theorem:

Z = \frac{X - \mu}{s}

Z = \frac{177.5 - 180}{3.1623}

Z = -0.79

Z = -0.79 has a p-value of 0.2148.

There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

More can be learned about the normal distribution at brainly.com/question/28135235

#SPJ1

5 0
2 years ago
Write the fraction 9/45 in simplest form.
nordsb [41]

Answer:

1/5

Step-by-step explanation:

Divide 45 by 9. = 5. = 1/5

7 0
3 years ago
Sam’s peach tree is 4 feet tall. Mary´s apple tree is 4 times as tall as Sam´s peach tree. How tall is Maryś apple tree?
yawa3891 [41]

Answer:

16 feet tall

Step-by-step explanation:

Multiply 4 by 4

6 0
3 years ago
Read 2 more answers
3 (x – 4) = 2x + 6<br> solve for x
Illusion [34]

Answer:

Step-by-step explanation:

3 (x – 4) = 2x + 6                  Remove the brackets

3x - 12 = 2x + 6                    Add 12 to both sides.

3x - 12 + 12 = 2x + 6 + 12     Combine

3x = 2x + 18                         Subtract 2x from both sides

3x-2x = 2x-2x + 18              Combine

x = 18

3 0
3 years ago
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