Unit rate is how many units of work can you do in 1 unit of time
3 and 3/5=3+3/5=15/5+3/5=18/5
(18/5mi)/40mins
divide by 40
aka times 1/40
(18/5)(1/40)=18/200=9/100=0.9/10=0.09/1
0.09 miles per minute
Answer:
The angles are adjacent and x=100
Answer:
79.4° to the nearest tenth of a degree
Step-by-step explanation:
You are trying to find the angle opposite the side of length 27.
Let the length of that side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for
Using the law of cosines



729 = 361 + 529 - 874cosC
729 = 890 - 874cosC
-161 = -874cosC
-161/-874 = cosC
.1842105.... = cosC
C = arccos .1842105.... = 79.4° to the nearest tenth of a degree
Answer:
The 95% confidence interval for the proportion is (0.2824, 0.3672). The upper limit of the interval is higher than 32% = 0.32, which means that the confidence interval does not support this claim.
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:

95% 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 95% confidence interval for the proportion is (0.2824, 0.3672). The upper limit of the interval is higher than 32% = 0.32, which means that the confidence interval does not support this claim.
Well, first you have to simplify the equation,
y + 7 = 12(x - 5)
y + 7 = 12x - 60
-7 -7
y = 12x - 67
Then graph!