Alex has a grid in the shape of a rectangle. He has right triangles. Each right triangle has an area of 25 square millimeters an
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The 90% , 99% confidence interval for the population mean is 32.145 < < 35.855 and 31.093 <
< 36.907
Probability is the study of likeliness of an event to happen.
It is given that
Total Population = 50
Mean = 35
The confidence interval is given by
is the mean
z is the confidence level value
s is the standard deviation
n is the population width
(a) The 90% confidence interval for the population mean
90% = 0.05
Z = 1.64
34 1.64 * 8 / √50
34 1.855
32.145 < < 35.855
(b) The 99% confidence interval for the population mean
99% = 0.005
Z=2.57
34 2.57 * 8 / √50
34 2.907
31.093 < < 36.907
Therefore the confidence interval for population mean has been determined.
The complete question is
A simple random sample of 50 items from a population width =7 resulted in a sample mean of 35. If required, round your answers to two decimal places.
a. Provide a 90% confidence interval for the population mean
b. Provide a 99% confidence interval for the population mean
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Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Step-by-step explanation:
Given,
Cups of blueberries used for 3 cups of strawberry = 2
Ratio of cups of blueberry to strawberry = 2:3
Joy wants to use 6 cups of blueberries.
Let,
x be the cups of strawberry for 6 cups of blueberries.
Ratio of cups of blueberries to strawberries = 6:x
Using proportion;
Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries
Product of extreme = Product of mean
Dividing both sides by 2
Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Keywords: ratio, proportion, division
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