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nirvana33 [79]
3 years ago
7

Simplify the square root of (x^2 -6x+ 9) if x<-3

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

x^2 - 9

Step-by-step explanation:

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Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call
Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

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.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is M = n\mu and the standard deviation is s = \sigma\sqrt{n}

Calls to a customer service center last on average 2.8 minutes.

This means that \mu = 2.8

75 calls each day.

This means that n = 75

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

M = n\mu = 75*2.8 = 210

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0
3 years ago
20.<br>Find the slope of a line parallel to 3x - y = 1​
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Answer:

m=3

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Step-by-step explanation:

In order to find the slope of a line parallel to 3x-y=1

you must look at standard form form y=mx+b

the slope is m

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Solve the sinusoidal equation:<br><br><br> 5sin(3x)-1=3
adoni [48]

Answer:

x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}

Step-by-step explanation:

5sin(3x)-1=3

5sin(3x)=4

sin(3x)=\frac{4}{5}

3x=0.92729521+2\pi n,2.21429743+2\pi n

x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}

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