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sergiy2304 [10]
2 years ago
9

Please help me asapscale factor: 0.75 A:(4,8) b:(12,16) c:(16,8)​

Mathematics
1 answer:
mojhsa [17]2 years ago
5 0

The new coordinates after the reduction by a scale factor of 0.75 are A'(3, 6); B'(9, 12); C'(12, 6)

<h3>How to make use of scale factor?</h3>

When we are talking about scale factor and as a result, we know that the image could either be reduced or enlarged.

Now, we want to reduce the given triangle by a scale factor of 0.75. Now, the coordinates of the given triangle are;  A:(4, 8) B:(12, 16) C:(16, 8)​

Thus, we will ,multiply each of the coordinates by a scale factor of 0.75 to get;

A(4, 8) * 0.75 = A'(3, 6)

B(12, 16) * 0.75 = B'(9, 12)

C(16, 8) * 0.75 = C'(12, 6)

Thus, we can conclude that the new coordinates after the reduction by a scale factor of 0.75 are A'(3, 6); B'(9, 12); C'(12, 6)

Read more about Scale Factor at; brainly.com/question/10253650

#SPJ1

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The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 . a.
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Answer:

a) 0.073044

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Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

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When = random number of samples is given, we solve using this z score formula

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σ is the population standard deviation = 8.6

n = 15

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z = -0.67552

Probability value from Z-Table:

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P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

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