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Citrus2011 [14]
2 years ago
11

Subtract. Simplify, if possible. 5/8 - * 2 1 / 2 - 3

Mathematics
1 answer:
Nat2105 [25]2 years ago
8 0

2\frac{1}{2} - \frac{5}{8}

Convert the mixed number to an improper fraction:

\frac{5}{2} - \frac{5}{8}

Subtract the fractions to get your final answer:

\frac{15}{8}

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The probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.

The true proportion given to us (p) = 0.07.

The sample size is given to us (n) = 313.

The standard deviation can be calculated as (s) = √[{p(1 - p)}/n] = √[{0.07(1 - 0.07)}/313] = √{0.07*0.93/313} = √0.000207987 = 0.0144217.

The mean (μ) = p = 0.07.

Since np = 12.52 and n(1 - p) = 291.09 are both greater than 5, the sample is normally distributed.

We are asked the probability that the sample proportion will be less than 0.04.

Using normal distribution, this can be shown as:

P(X < 0.04),

= P(Z < {(0.04-0.07)/0.0144217}) {Using the formula Z = (x - μ)/s},

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= 0.0188 or 1.88% {From table}.

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Learn more about the probability of sampling distributions at

brainly.com/question/15520013

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Solution:

we are given that

A jury pool consists of 50 potential jurors.

Wee have been asked to find the number of ways can a jury of 12 be selected.

As we know from the concept of combination that r person can be selected out of n in ncr ways. where

n_C_r=\frac{n!}{r!(n-r)!}

Now substitute the values we get

{50}_C_{12}=\frac{50!}{12!(50-12)!}\\&#10;\\&#10;{50}_C_{12}=\frac{50!}{12!38!}\\&#10;\\&#10;{50}_C_{12}=121399651100\\

Hence the required number of ways is 121399651100

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3 years ago
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