Answer:
a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3
b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3
In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.
Step-by-step explanation:
Answer:
20 ft
Step-by-step explanation:
1 in = 8 ft
2.5 in = 2.5 × 8 = 20 ft
The length of the basemennt is 20 ft.
Answer:
... -29, -22, -15, -8, -1, 6, 13, 20, 27, 34 ...
Step-by-step explanation:
First number: -29
Common Difference: 7
nth number to obtain: 10 (varies upon what the problem asks for)
Answer:
0.009 units in the positive y direction.
Step-by-step explanation:
Vertical shift is simply the value of the constant.
In this case, if you expand the formula by multiplying 0.9 into the parentheses,
y = 0.9 sin [(π/3) - x] + (0.9)(0.01)
y = 0.9 sin [(π/3) - x] + 0.009
Here the value of the constant is 0.009 and it is positive, hence the vertical shift is 0.009 units in the positive y direction.
Think of two points on a straight line. The first point is (0,8) representing 8 employees at time 0. The second point is (6,26), representing 26 employees after six months have gone by.
26-8
The slope of this line is m = ---------- = 18/6 = 3
6-0
This indicates that 3 new employees are taken on on average each month.
This situation can be represented as
E(x) = 8 + 3x, where x is the number of months that have passed, and E(x)
represents the number of employees at that point in time.