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love history [14]
2 years ago
14

You are standing outside of a circle at point A. You know that you are 12 ft from a tangent point of the circle. You also know t

hat you are 8 ft from another point on the circle. What is the radius of the circle? Level

Mathematics
1 answer:
charle [14.2K]2 years ago
5 0

Answer:

R = 5 ft

Step-by-step explanation:

Pythagorean theorem

x² + 12² = (x + 8)²

x² + 144 = x² + 16x + 64

       16x = 80

          x = 5

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According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones
schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

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. 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 = 237, \sigma = 54

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

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

Z = \frac{160 - 237}{54}

Z = -1.43

Z = -1.43 has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

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