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kondaur [170]
3 years ago
14

When Sally went bowling, her scores were 108, 72, and 95. If she bowls a 4th game, what will her score need to be to give her an

average of 91?
Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

Answer:

The answer is 89.

Step-by-step explanation:

In order to determine the score that she needs, we have to know about the mean. The <em>mean </em>is the average that we use frequently, where we add up all the numbers and then divide by the amount of numbers.

We have to make a equation where let be x the fourth score. Then:

First score=108

Second score=72

Third score=95

Fourth score=x

Average (mean)=91

Amount of numbers=4

\frac{108+72+95+x}{4} =91\\275+x=91*4\\x=364-275\\x=89

Finally, the score that she will need is 89.

Fudgin [204]3 years ago
3 0
She needs a score of 89 for it to be an average of 91.00
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A bank wonders whether omitting the annual credit card fee for customers who charge at least $3,000 in a year would increase the
Law Incorporation [45]

Answer:

The 95% confidence interval for the mean amount of the increase is ($541.6, $588.4). This means that we are 95% sure that the mean amount of increase of all customers who charge at least $3,000 in a year is between these two values.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{267}{\sqrt{500}} = 23.4

The lower end of the interval is the sample mean subtracted by M. So it is 565 - 23.4 = $541.6

The upper end of the interval is the sample mean added to M. So it is 565 + 23.4 = $588.4

The 95% confidence interval for the mean amount of the increase is ($541.6, $588.4). This means that we are 95% sure that the mean amount of increase of all customers who charge at least $3,000 in a year is between these two values.

4 0
3 years ago
find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x,y) point..y=x²+9
Alexandra [31]

Explanation:

using the parabola formula:

y = a(x-h)² + k²

vertex = (h, k)

We are given a parebola equation of: y = x²+9

comparing both equations to get the vertex:

y = y

a = 1

(x-h)² = x²

x² = (x + 0)²

(x-h)² = (x + 0)²

h = 0

+k = +9

k = 9

The vertex of the parabola as (x, y): (0, 9)

3 0
1 year ago
???? I don’t understand how to do this problem
Firdavs [7]

I think you are correct actually.

6 0
3 years ago
On a recent trip to a computer store you purchased one software package for 24.99 and three printer cartridges the total bill wi
DanielleElmas [232]

Answer:

The price of a single printer cartridge is 19.69, in your given currency.

Step-by-step explanation:

First remove the tax and the software package from the total bill.

90.01 - 24.99 - 5.95 = 59.07

Since there are 3 cartridges, you divide 59.07 by 3, giving you the price of a single cartridge.

59.07 \div 3 = 19.69

8 0
3 years ago
Which of the following sequences is not arithmetic?
Yanka [14]

Answer:

option c

Step-by-step explanation:

c doesnt follow a pattern

3 0
3 years ago
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