Answer:
The 95% confidence interval for the mean score is:
∈ 
Step-by-step explanation:
We want to estimate the population mean, that is, the average score of all the subjects.
An estimator for the population mean μ is 
Since the sample size is
then we use the statistic
with
degrees of freedom
The confidence interval for the mean is:

Where
is the average score of the sample
is the standard deviation of the sample
is the sample size
for a confidence level of 95% and 26 degrees of freedom
Then confidence interval is


∈ 
X must be increased by 6 to get its value to be 0. Then the corresponding change in y will be (-2/3)*6 = -4. That value added to -5 makes it -9.
The y-intercept will be -9.
Answer:
Angle B is 44 degrees.
This is a right triangle.
Steps:
The sum of interior angles in a triangle equals 180 degrees. The given triangle is a right triangle.
So A + B + C = 180
We are given A and C.
46 + B + 90 = 180
B + 136 = 180
180 - 136 = 44
Answer:
y=1/5x-39/5
Step-by-step explanation:
y=mx+b (slope y intercept formula)
y=1/5x+b
take (-6,-9) and put in appropiate places
-9= -6/5+b
*multiply lhs and rhs by 5
-45= -6+5b
-45+6=5b
-39=5b
-5b=39
b=39/-5
y=1/5x-39/5