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3 years ago

11

The probability that Shania is on time for school is 1/2. Find the probability that Shania arrives on time for school for the ne

xt five days. Express your answer as a percent, to the nearest tenth of a percent.

1 answer:

Lapatulllka [165]3 years ago

6 0

.5
.50%
Hope this helps you out

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Write the following with positive exponents: 10 to the -5 power

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Answer:

10^-5

Step-by-step explanation:

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Please help, summer depends on it.

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

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.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have $X = 85.1, \mu = 61.1, \sigma = 12$ . So

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

$Z = \frac{85.1 - 61.1}{12}$

$Z = 2$

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have $X = 299.2, \mu = 264, \sigma = 22$ .

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

$Z = \frac{299.2 - 264}{22}$

$Z = 1.6$

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have $X = 7.26, \mu = 7.1, \sigma = 0.4$ .

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

$Z = \frac{7.26 - 7.1}{0.4}$

$Z = 0.4$

Due to the higher Z-score, Demetria should be offered the job.

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3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the remainder

victus00 [196]

Answer:

88

Step-by-step explanation:

Given:

(h⁴ + h² – 2) ÷ (h + 3).

We could obtain the remainder using the remainder theorem :

That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).

Using the reminder theorem,

Equate h+3 to 0 and obtain the value of h at h+3 = 0

h + 3 = 0 ; h = - 3

Substituting h = - 3 into (h⁴ + h² – 2) to obtain the remainder

h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88

Hence, remainder is 88

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2 years ago

- 7 ( z - 6 ) = - 70

NemiM [27]

Answer:

z=16

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7(z−6)=−70

(−7)(z)+(−7)(−6)=−70(Distribute)

−7z+42=−70

Step 2: Subtract 42 from both sides.

−7z+42−42=−70−42

−7z=−112

Step 3: Divide both sides by -7.

−7z /−7 = −112 /−7

z=16

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