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zubka84 [21]
3 years ago
13

(05.06 MC)

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0
<h3>Answer:</h3>

A: see below

B: no

<h3>Step-by-step explanation:</h3>

Part A. The first equation graphs as the area below the dashed line with y-intercept -7 and slope 2.

The second equation graphs as the area above the solid line with x-intercept 6 and y-intercept 3.

The doubly-shaded area representing the solution space is that space approximately the upper-right quadrant of the four sections of the coordinate plane created by the intersection of the lines.

Part B. The point (3, -7) is in the lower-right quadrant of the sections of the coordinate plane described in part A. Thus it is NOT A SOLUTION.

The point (3, -7) fails to satisfy the second inequality. That is ...

  -7 ≥ -1/2·3 +3 = 3/2 . . . . is NOT TRUE

In order to be part of the solution space, a point must satisfy <em>both</em> inequalities.

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Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1900 hours
lana [24]

Answer:

0.9641 = 96.41% probability that the life span of the monitor will be more than 15,579 hours.

Step-by-step explanation:

Problems of normally distributed samples are 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 = 19000, \sigma = 1900

Find the probability that the life span of the monitor will be more than 15,579 hours.

This is 1 subtracted by the pvalue of Z when X = 15579. So

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

Z = \frac{15579 - 19000}{1900}

Z = -1.80

Z = -1.80 has a pvalue of 0.0359

1 - 0.0359 = 0.9641

0.9641 = 96.41% probability that the life span of the monitor will be more than 15,579 hours.

5 0
4 years ago
What is the greatest whole number that rounds to 621860
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Since the 4 is a smaller digit than a 5, the 6 in the tens place would stay the same while the 4 would become a 0.
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Answer:

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Step-by-step explanation:

formula=area of base x height x 1/3

A=2 x 2 x 1/3 or

A=2 x 2 / 3

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Step-by-step explanation:

easy

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Find the unit rate. round to the nearest hundred if necessary
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