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).
6✖35:210
➕4:214
so that is the answer
Finding the slope using two points:
The formula for slope is
In this case...
^^^Plug these numbers into the formula for slope...
1
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
Divide 4378 by 15
From 4378 lets take the first two digits for division:
43/ 15
We know that 43 does not come in table of 15
So we will take 15 *2 = 30
43-30 = 13
The quotient is 3 and the remainder is 13
Now take one more number which is 7 with 13
137/15.
Now 137 does not come in table of 15
15*9 = 135
135-137 = 2
It means quotient is 9 and remainder is 2
Now take one more number which is 8 with 2
28/15
28 does not come in table of 15
15*1 = 15
28-15 = 13/15
Now the quotient is 1 and remainder is 13
Hence, the quotient of 4,378 is 291 and remainder is 13 ....
Answer:
Below in bold.
Step-by-step explanation:
sin θ = 4 cos θ
Note that tan θ = sin θ / cos θ so we
Divide both sides by cosθ:
tan θ = 4
θ = 75.96
= 75 degrees 58 minutes.