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WARRIOR [948]
3 years ago
9

During their last workout, Izzy ran 2 1/4 miles in 15 minutes, and her friend Julia ran 3 3/4 miles in 25 minutes. Based on thei

r last run, which girl is
correct? Use minutes per mile.
Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0
They are both running at the same speed.Let me explain mathematicallyLets set up a unit rate.We want to know how many miles they all ran in 1 minute. Izzy  did 2 1/4 divided by 15 which gives point 15 miles.Julia  did 3 3/4 divided by 25 witch gives Point 15After that you can see who ran faster.you can convert it per minute instead of hours. you will get the same answer
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alexgriva [62]

answer is 40%

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8 0
2 years ago
In recent commercials Toyota claimed that 80% of its vehicles sold in the past 20 years are still on the road. You work for an a
Anvisha [2.4K]

Answer:

Step-by-step explanation:

We have to perform one sample proportion test. To do so we have to proceed through following steps.

(1) We have to collect data about vehicle sales in last 20 years.

(2) Using random number table or random number generator or otherwise we have to select sample of vehicles from the list of sale. In this step, we have to keep an eye on the fact that sample is to be selected from all years (all of 20). Using stratified random sampling by dividing vehicles sold over different years is an effective way to do so. That means, we may divide vehicles sold into 20 homogeneous strata over 20 years and select sample from each strata.

(3) After selecting sample of vehicles we have to communicate to corresponding vehicle owners to gather information about that particular vehicle.

(4) We have to note number of vehicles which are still on the road.

Suppose, we have selected  n vehicles as sample and after communicating we found that \tiny r of those are still on the road.

We have to test for null hypothesis H_0:p=0.80

against the alternative hypothesis H_1 \neq 0.80

Our test statistic is given

z=\frac{\hat p - p_0}{\sqrt{p_0(1-p_0)/n} }

here,

\hat p =\frac{r}{n}

p_0 =0.80

z=\frac{r/n-0.80\sqrt{n} }{0.40} \\\\=2.5(\frac{r}{n} -0.8)\sqrt{n}

We then calculate corresponding p-value.

We reject our null hypothesis if \text{p-value} , level of significance.

According to our obtained p-value and level of significance we proceed to certain conclusion.

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3 years ago
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seraphim [82]

Step-by-step explanation:

A = -7.

B = -8 x-(-6) is the same as x + 6

C = 13

D = 2

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