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Ainat [17]
3 years ago
11

Nina ran 12 4/5 laps in 1/4 of an hour . At this rate , how many laps could she run in a hour ?

Mathematics
1 answer:
slega [8]3 years ago
8 0

\text{ Answer: There are }51 \frac{1}{5}\ laps.

Explanation:

Since we have given that

Number of laps Nina ran is given by

12\frac{4}{5}

Time taken by Nina to ran the lap is given by

\frac{1}{4}

Now, we use the unitary method ,

In\ \frac{1}{4}\ hour,\text{ Nina ran }12\frac{4}{5}=\frac{64}{5}\ laps\\\\In\ 1\ hour,\text{ Nina ran }\frac{\frac{64}{5}}{\frac{1}{4}}=\frac{256}{5}\ laps

Now, we change it into mixed fraction,

\frac{256}{5}=51\frac{1}{5}\ laps

Hence,

\text{ there are }51 \frac{1}{5}\ laps.

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The horizontal axis in the sampling distribution of ModifyingAbove p with caret represents all possible sample proportions from
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Answer: (a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Step-by-step explanation:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

Explanation: If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Explanation: The 99% of the confidence intervals includes the population proportion value, it means, the remaining (100% – 99%) 1% of the intervals does not includes the population proportion.

If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals and 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

5 0
3 years ago
Can someone please help me with this question?
liq [111]
To get the solution we are looking for we need to point out what we know.
1. We assume that 55 is 100% because its the output value of the task.
2. We assume that the x is the value we are looking for. 
3. If 100% = 55 so we can write it down as 100%=55 
4. We know that x% = 44 of the output value so we can write it as x%=44.
5. Now we have two simple equations: 1) 100%=55 2) x%=44 where left sides of both of them have the same units and both right sides have the same units so we can do something like that 100%/x%=55/44.
6. Now we just have to solve the simple equation and we will get the answer.
7. Solution for 44 is what percent of 55 100%/x%=55/44 (100/x)*x=(55/44)*x we multiply both sides of the equation by x 100= 1.25*x we divide both sides of the equation by (1.25) to get x 100/1.25=x 80=x now we have: 44 is 80% of 55! 

Quick answer = 44 is 80% of 55
Hope this helps! ;D
3 0
3 years ago
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