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2 years ago

Use slopes and y-intercepts to determine if the lines y=−x2+14 and 3x−4y=−1 are parallel.

1 answer:

7 0

Answer: the lines are not parallel.

Explanation: if you isolate the x in 3x^2-4y=-1, the equation is y=3/4x^2+1/4

So, they are not parallel because the slope is not the same.

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The base of a hexagonal pyramid has an area of 92 square inches. The height of the pyramid is 6 inches. Find the volume of the p

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N ur by rbrrbbrbrvrvrvr

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2 years ago

How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?

larisa86 [58]

Answer:

Step-by-step explanation:

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2 years ago

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Solve -2x + 6 = -20. -13 13 -7 7

alexdok [17]

Note the equal sign. What you do to one side, you do to the other.

Also, remember to do the opposite of PEMDAS.

First, subtract 6 from both sides

-2x + 6 (-6) = -20 (-6)

-2x = -26

Next, isolate the x. Divide -2 from both sides

(-2x)/-2 = (-26)/-2

x = -26/-2

x = 13

13, or (B) is your answer

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<em>~Rise Above the Ordinary, Senpai</em>

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3 years ago

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In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system

Contact [7]

Answer:

n=206

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.09$ , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got: