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UkoKoshka [18]
2 years ago
7

Using the given points, determine Δy. (-3, -5) and (0, 10) Δy = 3 Δy = 5 Δy = 13 Δy = 15

Mathematics
1 answer:
juin [17]2 years ago
4 0

Answer:

Δy=(10+5)=15

Step-by-step explanation:

we know that

The formula to calculate Δy between two points is equal to

Δy=(y2-y1)

we have

(-3, -5) and (0, 10)

substitute the values

Δy=(10-(-5))=(10+5)=15

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3 years ago
How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the
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Answer:

155 women must be randomly selected.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be 28 lbs.

This means that \sigma = 28

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

M = z\frac{\sigma}{\sqrt{n}}

3.7 = 1.645\frac{28}{\sqrt{n}}

3.7\sqrt{n} = 1.645*28

\sqrt{n} = \frac{1.645*28}{3.7}

(\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2

n = 154.97

Rounding up:

155 women must be randomly selected.

4 0
3 years ago
What is the measure of angle 1
Gre4nikov [31]

It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':

7 0
3 years ago
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suppose you ask your three friends how many cups of coffee they each drink each week. they report the following: 3 cups, 6 cups,
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Step-by-step explanation:

To calculate the mean, add up all values and divide by the amount of all the values: 3 + 6 + 18 = 27, 27/3 = 9. The median is the middle number, which is 6 in the set 3, 6, 18 (least to greatest). Finally the total is already 27. Hope this helps, please consider Brainliest (click on the crown).

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1 year ago
What is the total surface area of the rectangular<br> prism represented by this net?
dedylja [7]

Answer:

Total surface area of the rectangular  prism is 150.88 cm^2

Step-by-step explanation:

area of base = area of top

area of base = 5 x 3.1 = 15.5 cm^2

Area of small lateral surface having dimensions 3.1 cm x 7.4 cm is

=3.1 x 7.4 = 22.94 cm^2

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Total area of prism = 2 x 15.5 + 2 x 22.94 + 2 x 37 = 150.88 cm^2

total surface area of the rectangular  prism is 150.88 cm^2

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3 years ago
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