Multiply 2/3 by the reciprocal, 3/2, on both sides.
Answer:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).
Answer:
3 cups of sugar.
Step-by-step explanation:
Han drinks 3/4 of a cup of sugar each day when she drinks iced tea. She drinks 3 gallons, and each contains 3/4. If each contains only 3/4, we will have to multiply 3/4 by 3 gallons to find our answer to this question.

So, now we will have to multiply 3/4 by the number 3.
×
= 
12/4 is equal to 3, so the answer is 3.
Answer:
Step-by-step explanation:
1/9
(1*4) / (9*4) = 4/36
(1*4) / (9*4) = 5/45
The first one is the ratio as it is stated in the problem.
The second one multiplies top and bottom by 4
The third one multiplies top and bottom of the top ratio by 5.