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3 years ago

What type of slope is demonstrated by the line below? (-1,3) (0, -2)

1 answer:

4 0

The slope is negative because the first y-value is 3 and then the second y-value is -2 which would make the slope negative.

You might be interested in

What is the median of data set 32 25 25 32 32 10 -10 25

LuckyWell [14K]

Answer:

-10, 10, 25, 25, 25, 32, 32, 32

Its 25

Step-by-step explanation:

The median is the middle number if there are an even amount of numbers you would have two medians add them the divide by two

4 0

3 years ago

Read 2 more answers

Data on the blood cholesterol levels of 6 rats give mean = 85, s= 12. A 95% confidence interval for the mean blood cholesterol o

lana [24]

The <em><u>correct answer</u></em> is:

c)75.4 to 94.6

Explanation:

The formula for a confidence interval is:

$\mu \pm z*(\frac{\sigma}{\sqrt{n}})$ ,

where μ is the mean, z is the z-score associated with the level of confidence we want, σ is the standard deviation, and n is the sample size.

Our mean is 85, our standard deviation is 12, our sample size is 6, and since we want 95% confidence, our z-score is 1.96:

$85\pm 1.96(\frac{12}{\sqrt{6}})=85\pm 9.6=85-9.6, 85+9.6=75.4, 94.6$

4 0

3 years ago

Read 2 more answers

A drawing has a scale 1/4 in: 12ft. How long is 8ft?

allochka39001 [22]

If you use a proportion, you'll get:

$\frac{0.25}{12} = \frac{x}{8}$

Then, you use cross products:

$12x=0.25(8) \\ 12x=2$

Then, you algebraically solve x:

$12x=2 \\ \frac{12x}{12} = \frac{2}{12} \\ x= \frac{5}{3}$

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.

4 0

3 years ago

I need help please?!!!

Rina8888 [55]

Answer:

Step-by-step explanation:

To find out if the ordered pair is a solution, just plug x and y into the equation. Is 5(1) + (3) equal to or less than -3? No, it equals 8, which is greater than -3. So the answer is No.

4 0

3 years ago

Read 2 more answers

The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A

Aloiza [94]

Answer:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

$\mu=37$ and $\sigma=28$ and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

4 0

3 years ago