Answer:
The y-intercept for this equation makes no sense for this model.
Step-by-step explanation:
In this case, the explanatory variable x is the year when the observations were taken. So, the values are the integer numbers between (and including) 1975 and 1986.
The<em> y-intercept for the equation of the linear regression makes no sense for this prediction</em>, for it would correspond to the value x=0 (the year 0) is not consider in the range of the explanatory data.
It could either be the first one or the second just trying to help. :)
#1)
The area of the rectangular section in the middle is given by 15(12)=180ft².
The area to the right can be broken into a rectangle, whose area is 8(10)=80ft², and a triangle, whose area is (1/2)(5)(8)=20ft².
The area to the left can be represented as a rectangle minus a triangular area. The dimensions of the complete rectangle would be 15(5)=75ft². However it is missing a triangle at the top whose area would be (1/2)(5)(5)=12.5ft². Thus we have 180+80+20+75-12.5=242.5ft².
#2)
The area of the weight room is given by 28(30)=840ft². The area of the Dance Studio is given by 33(42)=1386. There is a corner that is counted twice, however. The area of this corner is 14(14)=196ft². Our total area is then 840+1386-196=2030ft².
Answer is -3/4
Start with putting parentheses on the given numbers for these variables
Remove parentheses(When there is a in front of an expression in parentheses, the expression remains the same)
Reduce the numbers with the greatest common factor(3)
Calculate the difference 1 -7/4
Alternative form: -0.75
Experienced worker takes 4hr to complete so in 1hr it would be 1/4 completed.
Apprentice worker takes 12hrs to complete, so in 1hr it would be 1/12 completed.
Team effort X hours and 1/X part of the job completed in an hour.
Set up:
1/4 + 1/12 = 1/x
Get the denominators the same to add. So multiply the left side by 3.
3/12 + 1/12 =1/x
Combine like terms.
4/12 = 1/x
Cross multiply.
4x = 12
Dived by 4 on both sides
X = 3 hrs if they work together.
The answer is 3.
