Answer:
a) The percentage of adults who smoke are decreasing with time. b) the equation that best described this data is y=-0.3364x+22.809 (R^2=0.859) in which y is the percentage of adults who smoke and x the number of years. c) the percentage of adults who smoke will be 19.8% and it will not meet the expected 12%, it would take 32 years to reach that value.
Step-by-step explanation:
The data can be plotted to which years is the independent variable and percentage of adults who smoke is the dependent variable. The linear trendline that described this data has a negative slope which indicates that the percentage of adults is decreasing with time. In order to determine if the OSH target is being met, the x is replaced by 9 which is the goal period of nine years. The y is 19% which is higher than the 12% goal. In order to know the period it will take to the reach the goal of 12%, the y is replaced by 12 in the curve and the x is the answer in years = 32 years.
Answer:
-8 and 1
Step-by-step explanation:
Answer:
2, 5, 6
Step-by-step explanation:
The volume of a rectangular prism is given by
, where all variables to the right are dimensions of the prism.
Therefore, we're looking for three numbers that multiply to be 60.
Since the question stipulates that no side length may be 10, we have:
![2\cdot 5\cdot 6=60](https://tex.z-dn.net/?f=2%5Ccdot%205%5Ccdot%206%3D60)
![\huge\boxed{y-5&=-\frac{1}{3}(x+9)}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7By-5%26%3D-%5Cfrac%7B1%7D%7B3%7D%28x%2B9%29%7D)
First, we'll find the slope of the new line. The first line has a slope of
. Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by
) to get
for the new slope.
Then, we'll use the point-slope form to make the new equation, where
is the slope and
is a point on the line:
![\begin{aligned}y-y_1&=m(x-x_1)\\y-5&=-\frac{1}{3}(x-(-9))\\y-5&=-\frac{1}{3}(x+9)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy-y_1%26%3Dm%28x-x_1%29%5C%5Cy-5%26%3D-%5Cfrac%7B1%7D%7B3%7D%28x-%28-9%29%29%5C%5Cy-5%26%3D-%5Cfrac%7B1%7D%7B3%7D%28x%2B9%29%5Cend%7Baligned%7D)
Circumference = π * d
π=3.14
diameter = 6
3.14 * 6 = 18.84.
The answer is A.
Hope this helped☺☺