Answer:
Step-by-step explanation:
If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.
If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is
and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:
and doing that gives us
5x + 3x = 15 and
8x = 15 so
x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.
Answer:
EBM = +-54.126
Step-by-step explanation:
In this question we have confidence interval to be 80%
The formula to solve this is in the attachment.
Bar X = 1460
Z-alpha/2 = 1.282
Sd = standard deviation = 198 employees
n = 22 departments
After we have inserted all values in to the formula we have:
1460 +-(1.282*198/√22)
= 1460+-(54.12604)
= (1405.87, 1514.126)
The error bounded mean EBM
= +-z-alpha/2 x (sd/√n)
= 1.282 x 198/√22
= 1.282 x 42.22
EBM = +-54.126
Answer:
- <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>
Explanation:
<u>Rewrite the table and the choices for better understanding:</u>
<em>Enrollment at a Technical School </em>
Year (x) First Year f(x) Second Year s(x)
2009 785 756
2010 740 785
2011 690 710
2012 732 732
2013 781 755
Which of the following statements is true based on the data in the table?
- The solution to f(x) = s(x) is x = 2012.
- The solution to f(x) = s(x) is x = 732.
- The solution to f(x) = s(x) is x = 2011.
- The solution to f(x) = s(x) is x = 710.
<h2>Solution</h2>
The question requires to find which of the options represents the solution to f(x) = s(x).
That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.
The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>
Thus, the correct choice is the third one:
- The solution to f(x) = s(x) is x = 2012.
Is it 360 or 53 I think it’s 360