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3 years ago

Which number is a prime number 2 or 4or 14 or 24

Mathematics

2 answers:

shtirl [24]3 years ago

8 0

2 is the prime number because it doesn't have any factors but its self

valina [46]3 years ago

3 0

2 is a prime number for 14 and 24

Hope this helps!!

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If x + 2/7x = 9, then x=

Zigmanuir [339]

Answer: " x = 7 " .

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Step-by-step explanation:

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Given:

x + (2/7)x = 9 ; Solve for "x" ;

Note:

Start by simplifying the "left hand side of the equation:

$x +\frac{2}{7}x =1x +\frac{2}{7}x =$ $(1\frac{2}{7}) x =\frac{(7*1)+2}{7}x = \frac{(7+2)}{7}x = \frac{9}{7}x$ ;

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Now, rewrite the equation:

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$\frac{9}{7}x =9$ ; Solve for "x" ;

We now multiply each side of the equation by "7" ;

to get rid of the "denominator" within the "fraction value"

on the "left-hand side" of the equation:

$7 *\frac{9}{7}x = 9 * 7$ ;

On the "left-hand side" of the equation:

The "7's" cancel out to "1's" ; since "7÷7 = 1 " ;

And we are left with "9x" on the "left-hand side" of the equation.

On the "right-hand side" on the equation; we find that: "9 * 7 = 63 ."

So; we can rewrite the equation:

9x = 63 ;

To solve for "x" ; we divide each side of the equation by: "9" ;

to isolate "x" on one side of the equation;

& to solve for "x" ;

9x / 9 = 63 / 9 ;

to get:

x = 7 .

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Hope this answer—and explanation—is helpful!

Best wishes to you!

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7 0

3 years ago

What is the volume of the rectangular prism shown below?

Fiesta28 [93]

Answer:

Step-by-step explanation:

times 4 times 3 times 4 + 48

3 0

3 years ago

According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are goin

UkoKoshka [18]

Answer:

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

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

In this problem:

$\mu = 0.82, \sigma = \sqrt{\frac{0.82*0.18}{100}} = 0.0394$

In a sample of 100 Americans, what is the probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

This is 1 subtracted by the pvalue of Z when X = 0.85. So

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

$Z = \frac{0.85 - 0.82}{0.0384}$