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3 years ago

X^2 + y^2 = 8 X-y=0 Select all of the following that are solutions to the system shown

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

5 0

X^2 + y^2 = 8
X-y=0 so x = y

replace x = y into X^2 + y^2 = 8

y^2 + y^2 = 8

2y^2 = 8

y^2 = 8/2

y^2 = 4

y = - 2 and y = 2

because x = y

so x = - 2 and x = 2

solutions:

x= - 2 and x = + 2

y= - 2 and y = + 2

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3 years ago

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b

storchak [24]

Answer:

A task time of 177.125s qualify individuals for such training.

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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so $\mu = 145, \sigma = 25$ .

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This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when $Z = 1.285$ .

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3 years ago

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Step-by-step explanation:

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First step is to find the ln (price)

ln (price) =11.65 +0.000473*1,692

ln (price)=12.450316

Last step is to calculate the Estimated price by using calculator to find the exponential of 12.450316

Estimated price=e^(12.450316)

Estimated price=$255,330.99

Estimated price=$255,331 Approximately

Therefore the estimated price of a house that is 1,692 square feet will be $255,331

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3 years ago

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sertanlavr [38]

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3 years ago