Answer:
Confidence interval: (21.9, 32.9).
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 = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.485
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 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
11.8 x 5.8= 68.44
now to find the length of the other side of the triangle,
11 - 5.8= 6
6 x 7.5= 45 ÷ 2= 22.5
22.5 + 68.44= 90.94
Answer:
The two numbers are -4 and -10.
Step-by-step explanation:
x+y=-14
x-y=6
----------
2x=-8
x=-8/2
x=-4
-4+y=-14
y=-14-(-4)=-14+4=-10
x=-4, y=-10.
Answer:
Explanation:
<u>1. Given equation:</u>

<u>2. Given intensity:</u>

<u>3. Decibels</u>

Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2