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3 years ago

Find the missing value so that the two points have a slope 1/2 (7, 2 )and (3,y)

Mathematics

2 answers:

MrRissso [65]3 years ago

6 0

(7,2) , (3,0) 7-3=4 as denominator, and 2-0=2 as the numerator equaling 2/4 which is 1/2

balandron [24]3 years ago

5 0

Answer:

The missing y -coordinate is 0.

Step-by-step explanation:

Here we know the slope but must find the y-coefficient of one of the points.

y - 2

The slope is m = 1/2 = rise / run = ----------

3 - 7

y - 2

or 1/2 = ---------- which simplifies to -2 = y - 2, which yields y = 0.

-4

The missing y -coordinate is 0.

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3 years ago

9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of

netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 3$

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{16 - 12}{3}$

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2 years ago

I need to know which points go wj ere please

g100num [7]

The equations give you information as to where to plot points.

For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.

For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.

I hope this helps.

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3 years ago

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