Answer:
Step-by-step explanation:
5,9,11,(13,16),16,19,21
the mean(middle number) = (13 + 16) / 2 = 29/2 = 14.5
Q1 = (9 + 11) / 2 = 20/2 = 10
Q3 = (16 + 19) / 2 = 35/2 = 17.5
interquartile range (IQR) = Q3 - Q1 = 17.5 - 10 = 7.5 <==
So, we first add the 20 and 72 together and you will get 92.
What I like to do next is usually 92/100x8.5. The tax would be then 7.82
92 + 7.82 = 99.82 < 100
The answer is yes.
Answer:
Step-by-step explanation:
Graph: f(x) = 1 - ex
You meant f(x) = 1 - e^x, where ^ represents exponentiation.
First, graph the parent function y = e^x. The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept. The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.
Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x. The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.
Finally, translate the whole graph upward by 1 unit.
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.