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GenaCL600 [577]
3 years ago
14

Polygon ABCD is the result of a translation of polygon EFGH . AB¯¯¯¯¯ is parallel to DC¯¯¯¯¯ in the pre-image. Drag the answers

to the boxes to correctly complete the statement about this image. The corresponding segments and in the image are

Mathematics
2 answers:
kirill115 [55]3 years ago
8 0

Answer: The corresponding segments in the in the figure and the image are :

AB and EF,  

AD and EH,

CD and HG,

BC and FG,

Step-by-step explanation:

Given: Polygon ABCD is the result of a translation of polygon EFGH .

AB is parallel to DC in the pre-image.

We know that a translation is a rigid transformation which produces congruent images such that the corresponding segments have equal lengths.

So from the given statements the corresponding segments in the figure and the image are :

AB and EF,  

AD and EH,

CD and HG,

BC and FG,

Sveta_85 [38]3 years ago
4 0
ABCD has been translated down 4 units, and to the right 5 units in order to become EFGH.
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At a large university, the mean amount spent by students for cell phone service is $58.90 per month with a standard deviation of
zhenek [66]

Answer:

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 58.90, \sigma = 3.64, n = 44, s = \frac{3.64}{\sqrt{44}} = 0.54875

What is the probability that the mean amount of their monthly cell phone bills is more than $60?

This is 1 subtracted by the pvalue of Z when X = 60. So

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

By the Central Limit Theorem

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

Z = \frac{60 - 58.90}{0.54875}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

4 0
3 years ago
If Joan read 75 pages in 4 hours how long will it take her to read 250 pages
denis23 [38]
75/4=25 pages per hour, so, now we have to divide 250 by 25.

250/25=10

So, it would take Joan 10 hours to read 250 pages. :)
6 0
3 years ago
Read 2 more answers
Karen and Bill collect coins. Karen has x coins. Bill has 9 coins fewer than two times the number of coins Karen has. Write and
Eduardwww [97]
Karen = x
bill = 2x - 9
total = x + 2x - 9 = 3x - 9
6 0
2 years ago
Which of the following is equal to the expression below? (160x243)^1/5
Kipish [7]
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
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So
(160 * 243)^1/5
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= 5th root of (2^5 * 5 * 3^5)
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3 0
3 years ago
Amy makes the following statement:
almond37 [142]
60%= 6/10= 3/5
10%= 1/10
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5 0
3 years ago
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