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Bas_tet [7]
3 years ago
12

What is the slope of the line passing through the points (–1, 3) and (4, –7)?

Mathematics
2 answers:
Firdavs [7]3 years ago
6 0
slope=\frac{y_2-y_1}{x_2-x_1}\\\\ 
(x_1,y_1)=(-1,3)\\ 
(x_2,y_2)=(4,-7)\\\\
 slope=\frac{-7-3}{4+1}=\frac{-10}{5}=-2\\\\
Slope\ is\ equal\ to\ -2.\\Answer\ is\ D.

WINSTONCH [101]3 years ago
4 0
The answer is a.2 because this coordinate is the only one along the slope
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In-s [12.5K]

Answer:

B. and D i think

Step-by-step explanation:

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Find the value of x. Please help
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I guess this is the answer
67 \times 2 = 134
then:
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3 years ago
The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18
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3 years ago
Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h
irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = <u><em>population proportion.</em></u>

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, H_0 : p = 0.70      {means that the population proportion is equal to 0.70}

Alternate Hypothesis, H_A : p < 0.70      {means that the population proportion is less than 0.70}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                           T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion = 0.63

            n = sample of observations = 100

So, <u><em>the test statistics</em></u>  =  \frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }

                                     =  -1.528

The value of z-test statistics is -1.528.

<u>Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.</u>

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

4 0
3 years ago
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 7 inches and the ra
Nataly [62]
The first thing we should know in this case is that by definition the flow of liquid is given by:
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 Substituting values:
 t = (65.94) / (14)
 t = 4.71 minutes
 Answer:
 It will take for all the liquid in the funnel to pass through the nozzle about:
 t = 4.71 minutes
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