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3 years ago

The graph shows the distance, in miles, that Anders traveled over a period of nine hours.

Mathematics

2 answers:

Tems11 [23]3 years ago

8 0

The answer is B. 65

hope that helps

emmainna [20.7K]3 years ago

7 0

Answer: B. 65

Step-by-step explanation:

Choose any point on the number line with natural numbers for both coordinates. For this case, let's use (4, 260).

To find the constant of proportionality, divide the Y coordinate by the X coordinate. 260 ÷ 4 = 65. While optional, it is reccomended to use two points to confirm your answer. Let's do that with (2, 130). Since 130 ÷ 2 = 65, this confirms that the constant of proportionality is 65.

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2 years ago

Pete is a politician. He claims that 32% of the households in his district have total household incomes below the poverty level.

victus00 [196]

Answer:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

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Step-by-step explanation:

Information given

n=225 represent the sample selected

X=87 represent the households with incomes below the poverty level

$\hat p=\frac{87}{225}=0.3867$ estimated proportion of households with incomes below the poverty level

$p_o=0.32$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if the true proportion is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic is given bY:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

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3 years ago

A particle decays at a rate of 0.45% annually. assume and initial amount of 300 mg. (

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3 years ago