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lisabon 2012 [21]
3 years ago
15

Is 5 right??!! If yes just put yes. If no explain and put what i should put.

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0
Yes 5 is right, good job
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Given: EDF=ABF<br> Name the postulate or theorem you can use to prove ADE=EBA.
Phoenix [80]

The HL (hypotenuse leg) theorem states that any two right triangles that have a  congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Step-by-step explanation:

AE is congruent to itself.

AB is congruent to DE

<ADE and <EBA are right angles, making them right triangles

Therefore ADE is congruent to EBA by the HL theorem.

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The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

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

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

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3 years ago
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