Answer:
1st, 2nd, and 4th
Step-by-step explanation:
Answer:
x=35
Angle measurements of the triangle from least to greatest:
35,40,105
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
So we know that 40+3x+x=180.
First step is to combine the like terms on the left hand side:
40+4x=180
Second step is to subtract 40 on both sides.
4x=140
Third step is to divide both sides by 4:
x=35
The angle that is given is the one that is 40 degrees.
So the angle whose measurement is x is really 35 degrees.
The angle whose measurement is 3x is real 3(35)=105 degrees.
In order from least to greatest we have:
35,40,105
Answer:
The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.4 - 0.04 = 5.36 years.
The upper end of the interval is the sample mean added to M. So it is 5.4 + 0.04 = 5.44 years.
The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.