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Basile [38]
3 years ago
8

Solve for x. 2 1/2x−3/4(2x+5)=3/8

Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0
2 \frac{1}{2}x- \frac{3}{4}(2x+5)= \frac{3}{8}
2 \frac{1}{2}x- \frac{6}{4}x- \frac{15}{4}= \frac{3}{8}
( 2\frac{1}{2}- \frac{6}{4})x= \frac{3}{8}+ \frac{15}{4}
( \frac{5}{2}- \frac{6}{4})x= \frac{3}{8}+ \frac{15}{4}
( \frac{10}{4}- \frac{6}{4})x= \frac{3}{8}+ \frac{30}{8}
\frac{4}{4}x= \frac{33}{8}
x= \frac{33}{8}=4 \frac{1}{8}

Correct answer: C
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inysia [295]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • Sample of 500 customers, hence n = 500.
  • Amazon believes that the proportion is of 70%, hence p = 0.7

The <u>mean and the standard error</u> are given by:

\mu = p = 0.7

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{500}} = 0.0205

The probability is the <u>p-value of Z when X = 0.68</u>, hence:

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

By the Central Limit Theorem

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

Z = \frac{0.68 - 0.7}{0.0205}

Z = -0.98

Z = -0.98 has a p-value of 0.1635.

0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

A similar problem is given at brainly.com/question/25735688

7 0
2 years ago
Brainliest + Points!
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Step-by-step explanation:

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Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscrip
Vlad [161]

Answer:

The simplified form of the expression is \frac{1}{x^{7} y^{4}}.

Step-by-step explanation:

The expression is:

\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}

The division rule of exponents is:

a^{m}\div a^{n}=a^{m-n}

The negative exponent rule is:

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Simplify the expression as follows:

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Thus, the simplified form of the expression is \frac{1}{x^{7} y^{4}}.

8 0
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