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ElenaW [278]
4 years ago
6

What is the scale factor of this dilation?

Mathematics
2 answers:
Hitman42 [59]4 years ago
4 0

Answer:

C.)Three-fourths

Step-by-step explanation:

Trust me its correct

Montano1993 [528]4 years ago
3 0

Answer:

<h2>Three-fourths</h2>

Step-by-step explanation:

<h3>Triangle XYZ</h3>

XY=10\\ZY=12\\ZX=8\\

<h3>Triangle X'Y'Z'</h3>

X'Y'=7.5\\Z'Y'=9\\Z'X'=6

To find the factor of dilation, we just need to divide the sides of the prime figure with the sides of the original figure.

\frac{10}{7.5}= 1.333333333..\\\frac{12}{9}=1.333333...\\ \frac{8}{6}=1.3333333....

Notice that 1.333333.... is equivalent to 4/3, but the factor of dilation is from the smaller figure to the bigger figure. That means it's the opposite: 3/4.

Therefore, the factor of dilation is three-fourths.

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Answer:

x = 55, y = 70, z = 125

Step-by-step explanation:

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Suppose ACT Reading scores are normally distributed with a mean of 21.4 21.4 and a standard deviation of 5.9 5.9 . A university
Nutka1998 [239]

Answer:

29.2

Step-by-step explanation:

Mean = 21.4

Standard deviation = 5.9%

The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.

The Z- score formula is given as:

z = x - μ /σ

Z score ( z) is determined by checking the z score percentile of the normal distribution

In the question we are told that it is the students who scores are in the top 9%

The top 9% is determined by finding the z score of the 91st percentile on the normal distribution

z score of the 91st percentile = 1.341

Using the formula

z = x - μ /σ

Where

z = z score of the 91st percentile = 1.341

μ = mean = 21.4

σ = Standard deviation = 5.9

1.341= x - 21.4 / 5.9

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1.341 × 5.9 = x - 21.4

7.7526 = x -21.4

x = 7.7526 + 21.4

x = 29.1526

The 91st percentile is at the score of 29.1526.

We were asked in the question to round up to the nearest tenth.

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Step-by-step explanation:

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