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2 years ago

Interpret the slope based on the chart.

Mathematics

1 answer:

bogdanovich [222]2 years ago

3 0

Answer:

b. For 100 additional burglaries in California one expects to see an increase of about 3 burglaries in Hawaii.

Step-by-step explanation:

The slope gives the increase in the independent variable per unit increase in the dependent variable. Hence, a reasonable interpretation for the slope would be ;

the rate of change in the number of burglaries in Hawaii per 100 unit change in number of burglaries in California is 3.

Hence, for 100 additional burglaries in California, the rate of change in the number of burglaries in Hawaii is 3.

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The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each

pogonyaev

One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)

With all this information, you should have the equation:

n + 8n = 90

To solve, combine like terms to get:

9n = 90

Divide by 9 on both sides to isolate the variable n.

n = 10

Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.

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3 years ago

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marysya [2.9K]

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2 years ago

Read 2 more answers

What is 35\42 in simplest form

Ostrovityanka [42]

To put a fraction into simplest form, you need to divide both the numerator and the denominator by the GCF of both of these numbers.

35 and 42 have a GCF of 7.

So, if we divide
35/7=5
42/7=6

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3 years ago

A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A gro

Helga [31]

Answer:

It can be concluded that the medicated lotion has an effect on treating skin irritations.

Step-by-step explanation:

In this case we need to determine whether the medicated lotion was effective in treating the skin irritation or not.

The hypothesis can be defined as follows:

H₀: There is no difference between the two proportions, i.e. p₁ - p₂ = 0.

Hₐ: There is a significant difference between the two proportions, i.e. p₁ - p₂ ≠ 0.

The information provided is:

n₁ = 40

n₂ = 40

X₁ = 36

X₂ = 16

Compute the sample proportions and total proportions as follows:

$\hat p_{1}=\frac{36}{40}=0.90\\\\\hat p_{2}=\frac{16}{40}=0.40\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{36+16}{40+40}=0.65$

Compute the test statistic value as follows:

$z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}=\frac{0.90-0.40}{\sqrt{0.65(1-0.65)[\frac{1}{40}+\frac{1}{40}]}}=4.69$

The test statistic value is 4.69.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=2\times P(Z$

The p-value of the test is very small.

The null hypothesis will be rejected at any significance level.

Thus, there is a significant difference between the two proportions.

So, it can be concluded that the medicated lotion has an effect on treating skin irritations.

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Answer:

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