Answer:
The 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is between (0.104, 0.224).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is between (0.104, 0.224).
Answer:
A C E
Step-by-step explanation:
Answer:
The max is 85F
The min is 75F
Step-by-step explanation:
For the max 80+5=85F
For the min 80-5=75F
Answer:
As per the statement:
Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.
Let H represents Hawick , A represents Abbotsford and K represents Kelso
See the diagram as shown below:
Distance of AH = 15 miles
Distance of AK = 17 miles.
We have to find the distance HK:
Using Pythagoras theorem;
then;
or
miles.
Therefore, the distance from Hawick to Kelso( to the nearest tenth place) is 22.6 miles
Answer:
72 degrees.
Step-by-step explanation:
We can name the measure of the angle x.
We can name the measure of the complement of it y.
Note that complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees.
Using this info, we can set up two equations.
x+y=90
x+6y=180
Subtract the first equation from the second to eliminate x. You can do both ways, but I prefer to keep the equation positive.
x+6y=180
-x -y -90
5y=90
Divide both sides by 5.
y=18
The complement is 18, now we can plug that in to find x.
x+18=90
Subtract 18 from both sides.
x=72
The measure of the angle is 72 degrees.
