Answer:
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
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 = 27 - 1 = 26
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.7787.
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.
The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
Answer:
As GCF is
6
and LCM is
36
, and one number is
12
other number is
6
×
36
12
=
6
×
3
36
1
12
=
18
Step-by-step explanation:
20.21 multiplied by 999.801 is 20,205.97821, so the correct answer would be A. about 20,000
A. After the mod. One wall is “x” longer than original (horizontal in diagram) and the other is “x” shorter (vertical)
(30+x)(30-x)
b. He original area = 30 x 30 = 900 sq. ft.
The mod. Area is (30+6)(30-6) = 36x24= 764 sq. ft.
So the room was largest to begin with when it was a square
Answer:
∠ U = 22.62°
Step-by-step explanation:
We can use the trigonometric expression to find ∠U by using the ratio:
sin(θ) = opposite/ hypotenuse
=> sin ∠U = 7.5/ 19.5
=> ∠ U =
( 7.5/ 19.5)
∴ ∠ U = 22.619° ≈ 22.62°