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1 answer:
Answer:
66cm²
Step-by-step explanation:
Okay so lets start by breaking this down and writing a smiple equation to find the area.
We know that the N's are the same size. To make it easier we can turn them to a square/rectangle. I think it would be easist to move the bottem N's to the top. (look at the pic attached to see what i mean)
Lets start by finding the area of the top rectangle. We need to divide 8 by 2 to find the height.
a = b * h
a = 12 * 4 = 48(area of top rectangle)
a(of m) = 4.5 * 4 = 18
area of the whole thing:
a = 48 + 18 = 66
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Answer:
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Step-by-step explanation:
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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.