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3 years ago

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Jose earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more pints. Write and evaluate an expre

ssion to find his final score in the video game.

1 answer:

Aneli [31]3 years ago

4 0

50-40+87-30=67

hope i helped

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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:

<u>Problem 4:</u>

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 $\hat y = 30.2 + 0.16x$

<u>Problem 5:</u>

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.

<u>Problem 6:</u>

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.

<u>Problem 7:</u>

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

<u>Problem 8:</u>

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.

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3 years ago

Where is 23/2 on a number line?

rodikova [14]

23/2 = 11 1/2 or 11.5....its gonna be midway between 11 and 12 on a number line.

6 0

3 years ago

The sum of three numbers is 30. The middle number is 5 less than the biggest number, while the smallest number is one-third of t

Semmy [17]

15, 10, 5

..............

4 0

3 years ago

Find the 13th term in the following arithmetic sequence: 2,5,8,11

8_murik_8 [283]

Answer:

38 is the 13th term

Step-by-step explanation:

Just add 3 until you are at the 13th term

8 0

3 years ago

Line p is parallel to line q. Which proof explains why the sun of the interior angles of the triangle must be 180

V125BC [204]

Answer:

We consider a triangle ABC as attached in the answer.

We draw a line parallel to AB that passes through point C.

Angles C and C' are vertical angles, therefore ∠C = ∠C'.

Angles B and B' are corresponding angles, therefore ∠B = ∠B'.

Angles A and A' are corresponding angles, therefore ∠A = ∠A'.

it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.

The three angles A', B', and C' form together a straight angle so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.

This proofs that sum of angles of a triangle is equal to 180.

4 0

3 years ago