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3 years ago

Hi can someone help me with question and how you got the answer? thanks :)

Mathematics

2 answers:

liberstina [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Using the rule of exponents/ radicals

$a^{\frac{m}{n} }$ = $(\sqrt[n]{a} )^m$ then

$27^{\frac{4}{3} }$

= $(\sqrt[3]{27} )^4$

= $(3)^{4}$

= 81

Triss [41]3 years ago

5 0

Answer:

Convert 27 4/3 to an improper fraction.

Step-by-step explanation:

Exact Form:

85/3

Decimal Form:

28.¯3

Mixed Number Form:

28 1/3

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3 years ago

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8_murik_8 [283]

Answer:

38.46% probability that the sample proportion will NOT be between 0.60 and 0.73

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.

For a proportion p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.7, n = 50$

$\mu = 0.7, \sigma = \sqrt{\frac{0.7*0.3}{50}} = 0.0648$

What is the probability that the sample proportion will NOT be between 0.60 and 0.73?

This is 1 subtracted by the probability that it is between 0.6 and 0.73.

Probability it is between 0.6 and 0.73

pvalue of Z when X = 0.73 subtracted by the pvalue of Z when X = 0.6. So

X = 0.73

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

$Z = \frac{0.73 - 0.7}{0.0648}$

$Z = 0.46$

$Z = 0.46$ has a pvalue of 0.6772

X = 0.6

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

$Z = \frac{0.6 - 0.7}{0.0648}$

$Z = -1.54$

$Z = -1.54$ has a pvalue of 0.0618

0.6772 - 0.0618 = 0.6154

NOT be between 0.60 and 0.73?

1 - 0.6154 = 0.3846

38.46% probability that the sample proportion will NOT be between 0.60 and 0.73

5 0

4 years ago

What is the value of E?

kozerog [31]

Hello!

∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:

∠E + 119 = 180

Now subtract 119 from both sides of the equation:

∠E = 61

We have now proven that ∠E is equal to 61 degrees.

I hope this helps!

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