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Colt1911 [192]
3 years ago
8

How do you solve this?

Mathematics
2 answers:
dolphi86 [110]3 years ago
3 0
You X to the second power.. 4 to the second power is 16 and 16-16=0 so x=4
Lina20 [59]3 years ago
3 0
Add 16
x² - 16 = 0
    + 16 +16

x² = 16
Take square root

\sqrt{x^2}  =  \sqrt{16}

Remember when you take the square root of a perfect square you get two values. +ve and -ve

x = -4
x =  4

because (-4)² = 16
               ( 4)² = 16
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Find the interquartile range of the data. 68, 15, 55, 5, 66, 42, 51, 12, 23 *
Elan Coil [88]

Answer:

72.5

Step-by-step explanation:

5, 12, 15, 23, 42, 51, 55, 66, 68

42 = median

Q1 median = 21

Q2 median = 93.5

93.5 - 21 = 72.5

         Hope this helped!!!

4 0
2 years ago
The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m
SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67

The equation regression line then is:

Y'=33.67+0.54*X'

4 0
3 years ago
20 is what percent of 160
stira [4]
In this problem WP means what percent

20 = WP  X 160

solve for WP, by dividing both sides by 160

and you get:

0.125 = WP

Change your decimal into a percent by multiplying by 100%

12.5% is your result.
7 0
3 years ago
How does the rate of change vary from point to point?
Tpy6a [65]

\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}

8 0
2 years ago
Which number has both 2 and 5 as prime factors?
musickatia [10]

Answer:

Any multiple of 10

Step-by-step explanation:

A factor is defined as "a number or quantity that when multiplied with another produces a given number or expression." For example, the factors of 20 are 1, 2, 4, 5, 10, and 20.

When we multiply 2 and 5 together, we get 10. Multiplying this by anything else besides 0 will still yield something that has 2 and 5 as factors, for example 2 times 5 times 3 is 30. As this is just the same thing as multiplying 10 by 3, the answer is any multiple of 10.

4 0
3 years ago
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