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Virty [35]
3 years ago
7

Charlie ran 5 miles in 51.5 minutes. Use the equation 5r=51.5 to find r, the average rate he ran.

Mathematics
2 answers:
jenyasd209 [6]3 years ago
6 0
5r = 51.5
r = 51.5 / 5
r = 10.3
mixer [17]3 years ago
4 0
Hi! For this question, all you have to do is divide 51.5 and 5r by 5.

5r = 51.5
---    -----
5      5

The 5r will cancel out, and leave you with:
r = 10.3

Hope that helped!
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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.

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3 years ago
Can someone help me ? And show me the steps
kow [346]
If the line is parallel, it has the same slope. So now just find the y intercept and put it into slope-intercept form
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A system of two linear equations and three unknowns can be solved by:
irakobra [83]
These cannot be solved.- 3 unknowns require 3 equations 
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Question 4
inessss [21]

Answer:

Plot for Variable C Only

Step-by-step explanation:

Trust me, unless your teacher switched the order of the charts in which case it's the linear one!

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A class voted for either rollerblading, swimming or biking as their favorite summer activity. If rollerblading got 10% percent o
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The answer would be 55%
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