Justin bought some yarn from his favorite craft store. He can make one scarf with 3/5 of a ball of yarn. If he purchases 15 ball
1 answer:
He can make 25 scarves from 15 balls of yarn.
Step-by-step explanation:
Given,
Yarn used for one scarf = of a ball
Yarn purchased = 15 balls
Let,
x be the number of scarves.
Yarn used for one scarf*number of scarves = Yarn purchased
Multiplying both sides by
He can make 25 scarves from 15 balls of yarn.
Keywords: fraction, multiplication
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Answer:
The 99% confidence interval is (3.0493, 3.4907).
We are 99% sure that the true mean of the students Perry score is in the above interval.
Step-by-step explanation:
Our sample size is 21.
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 20 and 0.005 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
Then
The lower end of the interval is the mean subtracted by M. So:
The upper end of the interval is the mean added to M. So:
The 99% confidence interval is (3.0493, 3.4907).
Interpretation:
We are 99% sure that the true mean of the students Perry score is in the above interval.