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prisoha [69]
3 years ago
13

Wendy can ride her bike 0.8 miles in 6 minutes how many miles can she ride her bike in 2.5 hours

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

20 miles

Step-by-step explanation:

Set up a proportion...

0.8 miles is to x miles as 6 mins is to 2.5 hours

*You need to convert 2.5 hours into minutes first, since the first part is in minutes.  There are 60 minutes in an hour, so there are 60(2.5) = 150 minutes in 2.5 hours

0.8/x = 6/150

Now solve for x by cross multiplying...

0.8(150) = 6x

    120 = 6x

       20 = x

She can ride 20 miles in 2.5 hours

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Answer:

The answer is A

Step-by-step explanation:

Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.

8 0
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What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.
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a^2 +b^2 = (2.5sqrt(2))^2

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Step-by-step explanation:

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3 years ago
An e-commerce research company claims that 60% or more graduate students have bought merchandise on-line at their site. A consum
Elena-2011 [213]

Answer:

z=\frac{0.55 -0.6}{\sqrt{\frac{0.6(1-0.6)}{80}}}=-0.913  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduate students show that only 44 students have ever done so is not significantly lower than 0.6

Step-by-step explanation:

Data given and notation

n=80 represent the random sample taken

X=44 represent the students that have bought merchandise on-line at their site

\hat p=\frac{44}{80}=0.55 estimated proportion of graduate students show that only 44 students have ever done so

p_o=0.6 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of interest is lower than 0.6 or 60%, so then the system of hypothesis are.:  

Null hypothesis:p \geq 0.6  

Alternative hypothesis:p < 0.6  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.55 -0.6}{\sqrt{\frac{0.6(1-0.6)}{80}}}=-0.913  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed for this case is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduate students show that only 44 students have ever done so is not significantly lower than 0.6

5 0
3 years ago
You see a shirt for 97 dollars.
love history [14]
When you paid $97.00 for the shirt you should have given each parent $48.50 for the purchase of the shirt, which would = $97.00. 

<span>Then add the $1.00 each you returned from the change. At this point you should have $99.00 as your total. </span>

<span>Finally add the $1.00 that you kept, which should give you $100.00. </span>

<span>In the end you still owe your parents an additional .50 cents each for your initial purchase of the shirt.</span>
8 0
3 years ago
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