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kompoz [17]
3 years ago
8

A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation

Mathematics
1 answer:
kirill [66]3 years ago
6 0

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution 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 = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

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Step-by-step explanation:

Any function in the form f(x)= a(b^x), where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b. If 0 < b < 1.  It is an example of an exponential decay. The general shape of an exponential with b > 1 is an example of exponential growth. An exponential function is expressed in the form y=a(b^x) The relation represents a growth when  b >1 and a decay when 0<b<1.

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The point through which the same line is passing will be (9,13) so option (C) will be correct.

<h3>What is a line segment?</h3>

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A line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The equation of any line with slope m can be given as

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So,

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3 years ago
A family is staying in a hotel for 2 nights. The hotel costs $91.35 a night. About how much will they pay for the hotel?
statuscvo [17]
All we need to do to find the correct answer is to double the prize for a night. I'll "cut" it into pieces so you can see exactly how I calculated it:

$91.35 * 2 =
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Answer: They will pay $182.70 for two nights at the hotel.
7 0
3 years ago
Read 2 more answers
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