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3 years ago

create a linear function f(x), whose graph has the given slope that meets the given condition. slope of -7, f(-5)=2

1 answer:

8 0

Our goal is to fit the given information into the slope-intercept form.
y=mx+b

We can place the slope in 'm.'
y= -7x+b

Then, input the values for the x and y.
2= -7(-5)+b
2=35+b
b=2-35
b= -33

'b' is the intercept, so now that we know that, we can plug in all the values and find our final equation.

y= -7x -33

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Debora [2.8K]

This is 6C2
= 6!
-------- = 6*5 / 2*1 = 15
2! 4!

6 0

3 years ago

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

The (1 - α)% confidence interval for the difference between two mean is:

$CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }$

The critical value of t is:

$\alpha /2=0.05/2=0.025$

degrees of freedom $=n_{1}+n_{2}-2=200+200-2=398$

$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

Compute the 95% confidence interval for the difference between two mean as follows:

$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0

3 years ago

Which statement could be used to conclude that this parallelogram is a rhombus?

BaLLatris [955]

A parallelogram is a quadrilateral with two opposite sides equal in lengths while a rhombus is a parallelogram with the two sets of opposite sides equal to each other. A rhombus forms perpendicular bisectors when diagonals are intersected with each other. Answer then is A

7 0

3 years ago

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Which property explains why these two expressions are equal?

ratelena [41]

Re-written, I believe the equation is:

(W+23)+5=W+(23+5)

With this, the parenthesis have nothing multiplying into it, so we can drop the parenthesis to get:

W+23+5=W+23+5
Which is the same thing.

So I'd assume it is the Associative property, because you are combining the like terms of 23 and 5.

Hope this helps!

7 0

3 years ago

Please Help! Given triangles ABC and DEF, which statement explains a way to determine if the two figures are similar?

forsale [732]

Answer:

Step-by-step explanation:

i took the test

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3 years ago

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