Javier works in a photo lab and needs to make a reduced copy of a photograph that is 8 inches long. The customer wants the copy
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Answer: There is a linear relationship between the average price of PCs and the number of years that have passed since 2000.
Step-by-step explanation:
From the given graph, we can see there is a straight line , which shows that there is a linear relationship between both quantities.
As the number years increases the average price of PCs decreases.
The given equation of the line is , which shows that the slope of the line is -39, i.e the rate of decrease in the average price of PCs with respect to the the number of years that have passed since 2000.
Answer:
We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.
Step-by-step explanation:
We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.
Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.
<u><em>Let </em></u><u><em> = average calorie content of a 12-ounce can.</em></u>
So, Null Hypothesis, :
120 calories {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}
Alternate Hypothesis, :
> 120 calories {means that the average calorie content of a 12-ounce can is greater than 120 calories}
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = ~
where, = sample average calories per can = 124 calories
s = sample standard deviation = 6 calories
n = sample of cans = 10
So, <em><u>test statistics</u></em> = ~
= 2.108
The value of t test statistics is 2.108.
<em>Now, at 0.05 significance level </em><em>the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test</em><em>. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>
Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 3)² + (y + 4)² = 36 ← is in standard form
with (h, k) = (3, - 4 ) = centre and r = = 6
Susan interpreted the values of h and k incorrectly by using the values - 3 and 4 instead of taking the negative of them.
She also divided 36 by 2 , thus omitting the root of 36