What is the value of m in the equation? 16 + 9 = m - 2 A.25 B.23 C.27 D.29

20 gallons to 0.75 gallons express in simplest form

natta225 [31]

20 : 0.75 = 40 : 1.5 = 80 : 3

7 0

3 years ago

The area of a square is 144cm2.what is the measurement of each side

Dmitry [639]

The area of a square is 144 cm^2. The measurement of each side is 12 cm

Solution:

Given, The area of a square is 144 $cm^2$

We have to find that what is the measurement of each side.

Now, we know that, area of a square = product of side value with another side value.

Let the side value of given square be "s"

Then, Area of square is given as:

$\begin{array}{l}{\text {area of square}=s \times s} \\\\ {\text {Area of square}=s^{2}} \\\\ {144=s^{2}} \\\\ {s=\sqrt{144}} \\\\ {s=\sqrt{12^{2}}}\end{array}$

On cancelling square root and square on right side,we get

s = 12

Hence, the side value of the square is 12 cm.

8 0

3 years ago

Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5

Ugo [173]

Answer:

$s^2 = 0.01$

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$

First, we calculate the mean

$\overline x = \frac{\sum x}{n}$

$\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}$

$\overline x = \frac{7.4}{4}$

$\overline x = 1.85$

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$ becomes

$s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}$

$s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}$

$s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}$

$s^2 = \frac{0.03}{3}$

$s^2 = 0.01$

Hence, the variance is 0.01

5 0

2 years ago

If f(x)=3x+2and g(x)=x^2-9 find (f-g)(x)

mel-nik [20]

Step-by-step explanation:

If f(x)=3x+2and g(x)=x^2-9

find (f-g)(x)

f(x)- g(x) = [3x + 2] - [x^2 - 9]

= -x^2 + 3x + 11

5 0

3 years ago

There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the

galina1969 [7]

Answer:

The rate of change or slope m = -50

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m = -50

EXTRA BONUS!

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

$y = mx+b$

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

3 0

3 years ago