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3 years ago

The slope of (17,2) and (18,-17)

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

m= -19/1

We need to use the slope equation

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

We are working with the points,

(17, 2) and (18, -17)

x1 y1 x2 y2

$\frac{-17-2}{18-17}$

m= -19/1

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Write the equation 3x+2=4x² in standard form.

nignag [31]

Answer:

Write the Equation in Standard Form 3x+2=4x^2. 3x+2=4x2 3 x + 2 = 4 x 2. To write an equation in standard form, move each term to the left side of the equation ...

Missing: 4x² ‎| Must include: 4x²

Step-by-step explanation:

Write the Equation in Standard Form 3x+2=4x^2. 3x+2=4x2 3 x + 2 = 4 x 2. To write an equation in standard form, move each term to the left side of the equation ...

Missing: 4x² ‎| Must include: 4x²

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2 years ago

Someone please help me!!! I will mark brainlist!

vagabundo [1.1K]

It would be (-5, 15) or b.

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2 years ago

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter

JulsSmile [24]

Answer:

1) n=114

2) n=59

3) On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

Step-by-step explanation:

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

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

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 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.2$ and $\alpha/2 =0.1$ . And the critical value would be given by:

$z_{\alpha/2}=-1.28, z_{1-\alpha/2}=1.28$

Part 1

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 $ME =\pm 0.06$ or 6% points, and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimate of $\het p$ we can use 0.5 as a good estimate, replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.06}{1.28})^2}=113.77$

And rounded up we have that n=114

Part 2

On this case we have a prior estimate for the population proportion and is $\hat p =0.85$ so replacing the values into equation (b) we got:

$n=\frac{0.85(1-0.85)}{(\frac{0.06}{1.28})^2}=58.027$

And rounded up we have that n=59

Part 3

On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

5 0

3 years ago

What is the volume of the cylinder?

Elenna [48]

Answer:

Option D. $882\pi\ units^{3}$