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3 years ago

247 is 38% of what amount

Mathematics

2 answers:

Tanya [424]3 years ago

6 0

650, just divide 247 by 38%

Darina [25.2K]3 years ago

5 0

The question is asking that X times 38% will equal to 247.
Then, we multiply both sides by 100|38 (100 over 38)
and we get the answer is 650<span>

Hope this helps. :)

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Determine the point estimate of the population proportion, the margin of error

ahrayia [7]

Answer:

$\hat p=0.645\\\\ME=0.233\\\\x=645 \ individuals$

Step-by-step explanation:

-Given the boundaries as 0.412 and 0.878

- $\hat p$ is the point estimate for the population proportion and is calculated as follows:

$\hat p=\frac{Upper \ Bound+Lower \ Bound}{2}\\\\=\frac{0.878+0.412}{2}\\\\=0.645\\\\$

#The margin of error, ME can be calculated for the confidence intervals using the formula:

$ME=\frac{Upper \ Bound-Lower \ Bound}{2}\\\\=\frac{0.878-0.412}{2}\\\\=0.233$

#The number of individuals in the sample is the product of the point estimate and population size:

$\hat p=\frac{x}{n}\\\\x=\hat pn\\\\=0.645\times 1000\\\\=645$

Hence, there are 645 individuals in the sample.

8 0

2 years ago

find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope = m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)$

7 0

3 years ago

49a4 + 87a2b2 + 64b4 TRINOMIO CUADRADO PERFECTO POR ADICION Y SUSTRACCION por favor ayud

KatRina [158]

Answer:

(7a^2 + 8b^2 + 5ab) (7a^2 + 8b^2 - 5ab)

Step-by-step explanation:

Dado que ambos términos son cuadrados perfectos, puede factorizar utilizando la fórmula de la diferencia de cuadrados, a^2 - b^ 2 = (a + b) (a - b), donde a = 7a^2 + 8b^2 y b = 5ab.

English: Since both terms are perfect squares you can factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b), where a = 7a^2 + 8b^2 and b = 5ab.

6 0

3 years ago

FEE

frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

$\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)$

$y+2=\frac{3}{4}\left(x+4\right)$

Thus, the equation in the point-slope form of the line equation is:

$y+2=\frac{3}{4}\left(x+4\right)$

Simplifying the equation

$y+2=\frac{3}{4}\left(x+4\right)$

Subtract 3 from both sides

$y+2-2=\frac{3}{4}\left(x+4\right)-2$

$y=\frac{3}{4}x+1$

Multiplying the equation by 4

$4y = 3x + 4$

$3x - 4y = -4$

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

7 0

2 years ago

A baseball team won 2 games. They played 17 games total. Which ratio shows how many games they lost

Contact [7]

Answer:

15/17

Step-by-step explanation:

if they won 2 games they lost 15 (17-2) so the ratio is 15/17

6 0

3 years ago