Answer:
20 days
Step-by-step explanation:
t = time required by one worker to complete the job alone
(t+8) = time required by the other worker
So:
7.5/ t + 7.5/ (t + 8) = 1
Solve for t.
...
t = 12 days, the first guy working alone
The other worker would finish the job in 20 days.
Answer: 
Step-by-step explanation:
You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.
The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).
Therefore, you know that:

So you can substitute m∠3=130° and solve for m∠6. Then you get:

Answer:
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
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
.
A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
This means 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:

0.6236*100 = 62.36%
0.8964*100 = 89.64%
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Answer:

Step-by-step explanation:
1. Find the GCF (Greatest Common Factor)

2. Factor out the GCF and simplify.

3. Factor 
Which two numbers add up to -1 and multiply to -6?
<u>-3 and 2</u>
Rewrite the expression using the numbers above.

4. Done!

Answer:
y = 1
Step-by-step explanation:
x + y = 16
x - y = 14 add the equations
--------------
2x = 30
x = 15
x + y = 16
15 + y = 16
y = 1
the numbers are 15 and 1