Answer:
16
Step-by-step explanation:
If each box holds 12 doughtnuts, and she packed a total of 1,272.
Then 1,272/12 is 16.
Therefore, she needs 16 boxes
8 bags = 45 pound.
1 bag = 45 ÷ 8
1 bag = 5.625 pound
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Answer: 1 bag = 5.625 pound of rice
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Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Answer:
The 95% confidence interval for the difference of the two populations means is ( 2.4, 41.6)
Step-by-step explanation:
Confidence intervals are usually constructed using the formula;
point estimate ± margin of error
In this question we are required to construct a 95% confidence interval for the difference of two populations means. The point estimate for the difference of two population means is the difference of their sample means which in this case is 22.
Assuming normality conditions are met, since we have no information on the sample sizes, the margin of error will be calculated as;
margin of error = z-score for 95% confidence * standard deviation of the difference of the sample means
The z-score associated with a 95% confidence interval is 1.96
The standard deviation of the difference of the sample means is given as 10
The 95% confidence interval for the difference of the two populations means is thus;
22 ± 1.96(10) = 22 ± 19.6 = ( 2.4, 41.6)
