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2 years ago

HELP ME OUT !!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

elena-s [515]2 years ago

5 0

Answer:

y = -3x + 1 is the equation

Leona [35]2 years ago

3 0

Answer:

y = -3x + 1

Step-by-step explanation:

Start by picking any two points on the line.

(-1, 4) and (1, -2)

Now, use the slope formula to find the slope.

m = y^2 - y^1 / x^2 - x^1

m = -2 - 4 / 1 - (-1)

m = -6 / 1 + 1

m = -6/2

m = -3

So, our slope is -3.

Let's find the y-intercept now using the slope-line equation:

y = mx + b

4 = -3(-1) + b

4 = 3 + b

-3 -3

---------------------

1 = b

Lastly, let's put our findings into the slope-line equation:

y = mx + b

slope is -3 and y-intercept is 1

y = -3x + 1

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SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8.

Y_Kistochka [10]

Answer:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

Step-by-step explanation:

Mean SAT scores = 1026

Standard Deviation = 209

Mean ACT score = 20.8

Standard Deviation = 4.8

We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.

The formula to calculate the z-score is:

$z=\frac{x-\mu}{\sigma}$

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.

z-score for junior scoring 860 in SAT exam will be:

$z=\frac{860-1026}{209}=-7.59$

z-score for junior scoring 16 in ACT exam will be:

$z=\frac{16-20.8}{4.8}=-1$

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

4 0

3 years ago

Which value of a would make the following statement true? -3(2x + a) = -6x + 15

klemol [59]

Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.

I hope this helps!

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Right equation of the line that passes through (-1,5) and has a slope of 3 in point slope form.

MrRissso [65]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ -1 &,& 5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=3[x-(-1)]
\implies 
y-5=3(x+1)$

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