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Rufina [12.5K]
3 years ago
11

Which of the following figures uses the SSS theorem to prove that AEFG SAHIJ?

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

W.

Step-by-step explanation:

SSS, or Side-Side-Side is used to prove two triangles similar

Figure W. is the only one that uses three side marks, all of the others use at least one angle to prove them similar.

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1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)
Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

X~N(8, 1.5)

This means that \mu = 8, \sigma = 1.5

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

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

Z = \frac{9.5 - 8}{1.5}

Z = 1

Z = 1 has a p-value of 0.8413.

X = 6.5

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

Z = \frac{6.5 - 8}{1.5}

Z = -1

Z = -1 has a p-value of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that you have values in this interval.

7 0
3 years ago
A motorboat heads upstream a distance of 24 miles on a river whose current is running at 3 miles per hour. The trip up and back
Kryger [21]
To get speed you do Distance/Time.
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You would do 10,000 multiplied by 2


This equals $20,000


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3 years ago
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What is the answer to the is problem3x+10=3x+6
Tju [1.3M]

Answer:

there is no solution because the 3x cancels itself out leaving 4=0

Step-by-step explanation:

8 0
3 years ago
So the section of fence Jason will be working on is 121 ft and 5 in long how many inches is this section of the fence ? Please e
Bas_tet [7]
THE ANSWER TO YOUR QUESTION IS 257 INCHES IN TOTAL.
BECAUSE, 21 FEET = 252 INCHES + 5 INCHES = 257
7 0
3 years ago
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