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IRISSAK [1]
3 years ago
14

The owner of a local golf course wants to determine the average age of the golfers that play on the course in relation to the av

erage age in the area. According to the most recent census, the town has an average age of 21.29. In a random sample of 30 golfers that visited his course, the sample mean was 39.723 and the standard deviation was 8.0282. Using this information, the owner calculated the confidence interval of (35.683, 43.763) with a confidence level of 99%. Which of the following statements is the best conclusion?
a. We are 99% confident that the average age of all golfers that play on the golf course is greater than 21.29
b. We are 99% confident that the average age of all golfers that play on the golf course is less than 21.29
c. We cannot determine the proper interpretation based on the information given.
d. The average age of all golfers does not significantly differ from 21.29.
e. The percentage of golfers with an age greater than 21.29 is 99%.
Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

a. We are 99% confident that the average age of all golfers that play on the golf course is greater than 21.29

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval for the average age of golfers that play on the area is (35.683, 43.763), which means that we are 99% confident that the mean age of all golfers who play in the area is a value in this interval, and the best conclusion is given by option A, as the lower bound of the interval is greater than 21.

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erastovalidia [21]

Answer:

Step-by-step explanation:

1 foot = 12 inches

length of board in inches = 8 ft × (12 in)/ft = 96 in

length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in =  68 in.

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3 0
3 years ago
Shania had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
kogti [31]

Answer:

$2

Step-by-step explanation:

Total money Shania was having = $20.

After buying raffle tickets she was having a total of $6.

Thus ,

The money she spent on the raffle tickets = Money she was having initially -

                                                                         Money she was having after

                                                                         purchasing tickets .

                                                                 = $20 - $6

                                                                 = $14.

Thus She spent a total of $14 on tickets .

Now , number of tickets she bought = 7.

So, cost of each ticket = \frac{Money spent}{Number of tickets} = \frac{14}{7}

                                                          = $2.

Thus , each ticket costs $2 for Shania.

7 0
3 years ago
Choose whether it's always, sometimes, never 
Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

1)

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If a\in Z\text{ and }b\in Z, then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

2)

A polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3)

If a polynomial divided by a polynomial  then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{f(x)}{g(x)}=x^2+5, which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{g(x)}{f(x)}=\frac{1}{x^2+5}, which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

4)

As we know a polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

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