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adelina 88 [10]
3 years ago
7

Robert can swim the first 50 meters of a race in 1 minute. Then he slows down by 12 seconds for each of the next 50 meters of a

race. How long will it take Robert to swim a 400 meter race?
Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
Since you already know that the first 50 meters took 1min you can subtract
400meters-50meters=350meters
350meters÷50meters=7minutes
It increases at 12 sec./min for 7mins
1.12,1.24,1.36,1.48,2.00,2.12,2.24= 11.56+1.00=12.56min
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Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.626

The confidence interval is:

\overline{x} \pm M

In which \overline{x} is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \overline{x} = 6.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

\overline{x} \pm M = 6.2 \pm 2.626(0.21)

And the correct answer is given by option c.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

<em>Refer to attached</em>

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