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ratelena [41]
3 years ago
10

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of pho

nes that she has left to fix at the end of each day can be estimated with the equation P=108−23d P = 108 − 23 d , where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

What 108 represents here is that the total number of phones she has to fix each week is 108 phones

Step-by-step explanation:

The linear equation is

P = 108-23d

compare this with the general form;

y = mx + c

we have;

P = -23d + 108

We can see that 108 represents the y-intercept in this case

The x-value at the y-intercept is 0

So what this mean is that the number of phones she has to fix each week is 108

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Assume adults have IQ scores that are normally distributed with a mean of 102 and standard deviation of 16. Find the probability
Andre45 [30]

Answer:

57.49% probability that a randomly selected individual has an IQ between 81 and 109

Step-by-step explanation:

When the distribution is normal, we use 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.

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\mu = 102, \sigma = 16

Find the probability that a randomly selected individual has an IQ between 81 and 109

This is the pvalue of Z when X = 109 subtracted by the pvalue of Z when X = 81. So

X = 109

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3 years ago
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