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NISA [10]
3 years ago
10

The two figures above are regular. If s and t represent the lengths of the segments indicated in the figures, which statement is

true?
A. s > t

B. t > s

C. s = t

D. No comparison can be made.

Mathematics
1 answer:
adoni [48]3 years ago
6 0
The answer:  s is greater than t ,, choice A

Explanation:

Each interior angle of a regular octagon = 135 degrees
Each interior angle of a regular hexagon = 120 degrees

Thus, ∠PBA = 67.5 degrees and ∠QNM = 60 degrees
In the octagon name the intersecting point of the altitude and the side; 'x'
In the hexagon name the intersecting point of the altitude and the side; 'y'
Consider the right triangles PBX and QNY
Now we can argue that the side opposite of the larger angle is going to be larger in those respective right triangles.
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Romashka-Z-Leto [24]
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4 0
3 years ago
Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 35 minutes and
IgorLugansk [536]

Answer:

The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.

Step-by-step explanation:

Problems of normally distributed samples can be 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, or the area of the normal curve to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, or the area of the normal curve to the right of Z.

In this problem, we have that:

\mu = 35, \sigma = 5

Less than 44 minutes.

Area to the left of Z when X = 44. So

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

Z = \frac{44 - 35}{5}

Z = 1.8

So the answer is:

The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.

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3 years ago
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Answer:

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Step-by-step explanation:

The second question is 589 4/5

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