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2 years ago

Find the slope of the line passing through each of the following pairs of points. b (−3, 9), (−3, −5)

Mathematics

2 answers:

Kisachek [45]2 years ago

5 0

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(-3,\ 9)\to x_1=-3,\ y_1=9\\(-3,\ -5)\to x_2=-3,\ y_2=9$

Substitute:

$m=\dfrac{-5-9}{-3-(-3)}=\dfrac{-14}{-3+3}=\dfrac{-14}{0}\ \ \ \boxed{!!!!!}$

Answer: The slope is indefinite

marusya05 [52]2 years ago

4 0

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{(-5)-9}{(-3)-(-3)}=\frac{-5-9}{-3+3}=\frac{-14}{0}=0$

Undefined.

Slope is 0.

Final answer is 0.

Hope this helps!

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Find the distance between the points ( - 10,12) and (15,12).

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The distance formula is:

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2 years ago

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2 years ago

Charlie’s portfolio has an expected annual return at 10%, with an annual standard deviation at 12%. Assume his investment return

Deffense [45]

Answer:

There is a 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.

Step-by-step explanation:

This is problem is solving using the Z-score table.

The Z-score of a measure measures how many standard deviations above/below the mean is a measure. Each Z-score has a pvalue, that represents the percentile of a measure.

What is the probability that the actual return will be between the mean and one standard deviation above the mean?

One measure above the mean is $Z = 1$

The mean is $Z = 0$

This means that this probability is the pvalue of $Z = 1$ subtracted by the pvalue of $Z = 0$ .

$Z = 1$ has a pvalue of 0.8413.

$Z = 0$ has a pvalue of 0.50.

This means that there is a 0.8413-0.50 = 0.3413 = 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.

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