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11111nata11111 [884]
3 years ago
9

Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 +

8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5
Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

(B)\sqrt{21}\\(C)\sqrt{13+8}

Step-by-step explanation:

Given the expression (13 + 8) ^{1/2}

Using law of indices: a^{1/2}=\sqrt{a}

(13 + 8) ^{1/2}=\sqrt{13+8}

Also:13+8=21

Therefore:

(13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}

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I'm so confused, pls help
Vera_Pavlovna [14]

Answer:

x = 14      D

Step-by-step explanation:

(18x + 36) / 3 = 6x + 12

6x + 12 = -16 + 8x

-6x .                -6x

12 = -16 + 2x

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28 = 2x

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8 0
2 years ago
The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w
alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

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:

The average number of hours worked per week is 43.4, so \mu = 43.4.

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of X = 48 has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use Z = 1.175.

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

1.175 = \frac{48 - 43.4}{\sigma}

1.175\sigma = 4.6

\sigma = \frac{4.6}{1.175}

\sigma = 3.91

The standard deviation of number of hours worked per week for these workers is 3.91.

6 0
3 years ago
The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value o
kherson [118]

Answer:

d 150

Step-by-step explanation:

3 0
3 years ago
How to write seven hundred five thousand, three in standard form
vodomira [7]
705,003 is seven hundred five thousand, three in standard form
3 0
3 years ago
Read 2 more answers
What is 1/4 times 268?
tia_tia [17]
1/4 is equal to 0.25. so you can multiply 0.25 and 268 to get your answer of 67
8 0
3 years ago
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