Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
It will be greater than the length of the third side always
Answer: B) [-0.0332,0.1332]
Step-by-step explanation: <u>Confidence</u> <u>Interval</u> is an interval where we can be a percentage sure the true mean is.
The confidence interval for a difference in population proportion is calculated following these steps:
First, let's find population proportion for each population:
Second, calculate standard deviation for each proportion:
Now, we calculate standard error for difference:
SE = 0.0505
The z-score for a 90% CI is 1.645.
Then, confidence interval is
± z-score.SE
±
0.05 ± 0.0831
The limits of this interval are:
inferior: 0.05 - 0.0831 =
superior: 0.05 + 0.0831 = 0.1332
The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is .
Answer:
The student will be able to fill 5 1/2 cups of lemonade.
Step-by-step explanation:
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