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vichka [17]
3 years ago
5

A circular running track is 1/4 of a mile long Elena runs this track completing each lap in 1/20 of an hour what is her speed

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

The speed is equal to 5\frac{mi}{h}

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x------> the distance in miles

y-----> the time in hours

s----> the speed in mph

so

s=\frac{x}{y}

In this problem we have

x=(1/4)\ mi

y=(1/20)\ h

substitute

s=\frac{(1/4)}{(1/20)}=20/4=5\frac{mi}{h}

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19

Step-by-step explanation:

30 - 11 = 19

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2 years ago
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Solve by Elimination: <br> 4x - 5y = 14<br> -4x + y = 6
Lana71 [14]

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Step-by-step explanation:

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3 years ago
A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop
Helen [10]

Answer:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

But we need to calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_I}{n}

And replacing we got:

\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072

And for the sample variance we have:

s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance \sigma^2

E(s^2) = \sigma^2

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

But we need to calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_I}{n}

And replacing we got:

\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072

And for the sample variance we have:

s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance \sigma^2

E(s^2) = \sigma^2

3 0
3 years ago
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
kkurt [141]

Answer:

She will have 142 watermelons

Step-by-step explanation:

First let's put our ratio

10 : 71

Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

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She will have 142 watermelons

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C is the correct answer!
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