All categories

4 years ago

Solve |x/6 - 7/12|=11/6

Mathematics

1 answer:

Bumek [7]4 years ago

6 0

X=29/2, 15/2
this is the answer hope it helped

You might be interested in

Complete: A line drawn from a centre of a circle ________the chord, then the line is_________

lys-0071 [83]

Answer:

Complete: A line drawn from a centre of a circle to the midpoint of the chord, then the line is perpendicular

7 0

2 years ago

Read 2 more answers

Audrey owns 25 books, but only 18 books fit on the shelf. How many books did not make it on the shelf?

jeyben [28]

The answer is seven books

3 0

3 years ago

Read 2 more answers

Explain how to solve the equation x + 6 = 24

jeka57 [31]

You need to subtract 6 from 24 because it’s the inverse operation of addition which will help you find the unknown value, x.

5 0

4 years ago

Read 2 more answers

Find the lengths of the three sides of a right triangle if the hypotenuse is 1 cm longer than the longer leg and 3 cm less than

Mashutka [201]

I has no idea sorry I'm only in 7th grade I wish I could help

4 0

3 years ago

Taking a test i don’t know anything about please help

PilotLPTM [1.2K]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 4:

The line of regression is $\hat y = a+bx$ where:

$a=\overline y-b \overline x$

$b=\frac{r*s_y}{s_x}$

We are given that $\overline y=75$ , $s_y=8$ , $\overline x=280$ , $s_x=30$ , and $r=0.60$ , therefore our slope, $b$ , is:

$b=\frac{r*s_y}{s_x}$

$b=\frac{(0.60)(8)}{30}$

$b=0.16$

Therefore, the slope of the regression line is 0.16, which can be used along with the values of $\overline y$ and $\overline x$ to find the constant $a$ :

$a=\overline y-b \overline x$

$a=75-(0.16)(280)$

$a=30.2$

This means our final regression line is $\hat y = 30.2 + 0.16x$

Problem 5:

The slope, $b=0.16$ , means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.

Problem 6:

The y-intercept (or constant), $a=30.2$ , means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.

Problem 7:

$R^{2}=(0.60)^{2}=0.36=36\%$

Problem 8:

The fraction of variability (aka. coefficient of determination), $R^2$ , means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.

6 0

3 years ago