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3 years ago

What does a slope of 1/4 look like

Mathematics

1 answer:

Reil [10]3 years ago

3 0

Slope is also known as rise over run -
$\frac{rise}{run}$
Here, we have the slope $\frac{1}{4}$ . This means that the rise is $1$ and the run is $4$ . Since both values are positive, we can say that we go up one and we go right four. When we plot this on a graph (the graph is attached), we get the same exact formula we found. **In the graph, I plotted the line $y= \frac{1}{4} x$ **. Hope this helped!

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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

A survey at your school found that 842 in 989 students have a cell phone. What percent of the student in school has a cell phone

Mumz [18]

Answer:

85.14% of the students have a cell phone.

8 0

3 years ago

Read 2 more answers

A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int

Licemer1 [7]

Interest = $572.60 - $560.00 = $12.60

$560 x 6i/12 = $12.60

i = ($12.60 x 12) / ($560 x 6) = 0.045%

7 0

3 years ago

In 2004, a pine tree was 5 3/4 ft tall. If the tree grew at an average rate of 5/6 ft per year for the next 7 years, how tall wo

Nady [450]

Answer:

11 7/12 ft tall

Step-by-step explanation:

5 3/4 + (5/6*7)

139/12

11 7/12

7 0

4 years ago

Elimination method: ax+by=r, -bx+cy=s

Alex17521 [72]

$\left[\begin{array}{ccc}ax+by=r\\\\-bx+cy=s\end{array}\right]$

Isolate x for $ax+by=r$

$x= \frac{r-by}{a} ; a \neq 0$

Subsititute $x= \frac{r-by}{a}$

$-b \frac{r-by}{a} +cy=s$

Isolate r for : $-b \frac{r-by}{a}+cy=s$

$r=- \frac{as-acy-b^2y}{b} ; a \neq 0;b \neq 0$

For x : $\frac{r-by}{a}$

Subsititute r = $- \frac{as-acy-b^2y}{b}$

$x= -\frac{as-acy-b^2y}{b}/a$

$x = \frac{cy-s}{b}$

The solutions to the system of equations are:

$r= -\frac{as-acy-b^2y}{b}$ and <span> $x = \frac{cy-s}{b}$
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hope this helps!

3 0

3 years ago