8.67 × 10^9
you take the decimal and move it over till you only have one number before the decimal. The number of times you moved the decimal is the power that it is put to. In this case the decimal was moved 9 times to it is 10^9.
Answer: the answer is 19
Step-by-step explanation:
Answer:
-8
Explanation:
The instantaneous rate of change when x = 2 is equal to the slope of the tangent line at that point. So, we need to find the slope of the following line
Using two points (x1, y1) and (x2, y2) of the line, we can calculate the slope as follows
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
So, replacing (x1, y1) by (2, -8) and (x2, y2) by (1, 0), we get:
![m=\frac{0-(-8)}{1-2}=\frac{0+8}{-1}=\frac{8}{-1}=-8](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0-%28-8%29%7D%7B1-2%7D%3D%5Cfrac%7B0%2B8%7D%7B-1%7D%3D%5Cfrac%7B8%7D%7B-1%7D%3D-8)
Therefore, the estimate of the instantaneous rate of change is -8.
Answer:
0.31
Step-by-step explanation:
% conservatives = 30 ; voted = 65%
% Liberals = 50 ; voted = 82%
% Independents = 20 ; voted = 50%
If a person in the city is selected at random and it is learned that she did not vote in the last election, what is the probability that she is a liberal
Number that did not vote :
% conservative × (1 - voted) + % Liberals × (1 - voted) + % conservatives × ( 1- voted)
(30% × 0.35) + (50% × 0.18) + (20% × 0.5)
(0.3 × 0.35) + (0.5 × 0.18) + (0.2 × 0.5)
= 0.105 + 0.09 + 0.1 = 0.295
Hence, probability that a person chosen at random did not vote and she's a liberal :
P = liberal who did not vote / total who did not vote
P = (0.5 × 0.18) / 0.295
P = 0.09 / 0.295
= 0.30508
= 0.31