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Usimov [2.4K]
2 years ago
6

Brent checks the sales records for a random sample of 16 days and finds the mean number of gallons sold is 150 gallons per day;

the sample standard deviation is 12 gallons. With 95% confidence, estimate the what is mean number of gallons that Brent should stock daily.
Mathematics
1 answer:
Basile [38]2 years ago
8 0

Answer:

[143.61, 156.39]

Step-by-step explanation:

Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.

Plug these values into your calculator:

Sample mean = 150

Sample size = 16

Standard deviation = 12

Confidence level = 95% = 0.95

and get [143.61, 156.39] as your confidence interval

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three children each ate 1/4 of a candy bar.Whitch expression shows how you would solve for the totalamount of candy bar that was
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Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...
nalin [4]

Answer:

<em>summation of five times negative three to the power of n from n equals zero to infinity</em>

Step-by-step explanation:

<u>Summation Notation </u>

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

\sum_{n=0}^{\infty}5(-3)^n

This corresponds with the option:

<u>summation of five times negative three to the power of n from n equals zero to infinity</u>

8 0
3 years ago
f(x) = x2. What is g(x)?SIf(x)= x/g(x)(2,1)-5O A.06)-()O B. g(x) = 2x2O C. g(x)-9(x)=(*)O D. g(x)= x2
Andrew [12]
Explanation

As you can see all the possible answers have the same form:

g(x)=ax^2

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

\begin{gathered} (2,1)=(x,g(x)) \\ x=2 \\ g(2)=1 \end{gathered}

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

\begin{gathered} g(2)=1=a\cdot2^2 \\ 1=4a \end{gathered}

Then we can divide both sides by 4:

\begin{gathered} \frac{1}{4}=\frac{4a}{4} \\ a=\frac{1}{4} \end{gathered}

Then we get:

g(x)=\frac{1}{4}x^2=(\frac{1}{2}x)^2Answer

Then the answer is option A.

3 0
1 year ago
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