3. Which rate is faster? A: 60 feet in 90 seconds or B: 60 inches in 5 seconds
1 answer:
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Answer:
a) The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is 10.02.
Step-by-step explanation:
The t-distribution is used to solve this question:
a) n = 14
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 14 - 1 = 13
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.7709
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) n = 28
27 df, T = 1.7033
The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is
44 df, T = 1.6802
The margin of error for a 90% confidence interval when n = 45 is 10.02.
Answer:
x = ± 1
Step-by-step explanation:
Given
3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )
3(x² - 4) = - 9 ( divide both sides by 3 )
x² - 4 = - 3 ( add 4 to both sides )
x² = 1 ( take the square root of both sides )
x² = ± = ± 1
Thus
x = - 1, x = 1
Answer:
Step-by-step explanation:
We want to reduce the radical. In order to do that, we want to find the factors of 96 that are square numbers
The factors of 96 are:
16 is a square number, so we can rewrite