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hram777 [196]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer: x = 8

Step-by-step explanation:

Using The Pythagorean theorem (a^2 + b^2 = c^2) we can find A or In This Case X

Plug In The Numbers:

x^2 + 6^2 = 10^2

simplify

x^2 + 36 = 100

Next, Since Were Trying To Find X And Not C, We Subtract B From C Or 36 From 100

x^2 + 36 - 36 = 100 - 36

simplify

x^2  = 64

Next, To Get Rid Of The Square, Were Going To Find The Square Root Of Both Sides Of The Equation

sqr/a = sqr/64

simplify

x = 8

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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.

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

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.

So

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

1.285 = \frac{X - 145}{25}

X - 145 = 32.125

X = 177.125

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

7 0
3 years ago
Which unit has the greatest capacity? Tablespoon, quart, Pint or teaspoon?
Tamiku [17]
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2 years ago
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Ellie drives 22.5 miles in 45 minutes. If she drove three hours in total at the same rate, how far did she go?
Scilla [17]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Please help me out with this ​
UNO [17]

Step-by-step explanation:

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135+x=180

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2 years ago
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Step-by-step explanation:

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