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2 years ago

PLEASE HELP ASAP I AM TIMED D O NOT GUESS EXPLAIN URE ASNWER

Mathematics

2 answers:

Flauer [41]2 years ago

8 0

The 4th roots of a^12 = a^3 so we can take out a^3
4th root of 144 = 4th root of 9 * 2 so we can also take out 2

The answer is the first choice.

Flura [38]2 years ago

8 0

4sqrt(144a^12b^3

factor out 16:

4sqrt16*9a^12b^3

rewrite 16 using a power"
4 sqrt(2^4*9a^12b^3)

rewrie a12 as (a^3^4)

4sqrt( 2^4(a^3)^4 x 9b^3)

rewrite 2^4(a^3)^4 as (2a^3)^4

4sqrt((2a^3)^4 *9b^3)

pull terms out from under the radical:

2a^3 4sqrt(9b^3)

Answer is A

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According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a

Sav [38]

Answer:

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

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:

$\mu = 7.5, \sigma = 1.1$

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

X = 8.6

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

$Z = \frac{8.6 - 7.5}{1.1}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 6.4

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

$Z = \frac{6.4 - 7.5}{1.1}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

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2 years ago

Write 5×√5 as a single power of 5.

BlackZzzverrR [31]

Answer:

to me the answer will be 5 raised to power 2

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Snezhnost [94]

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