Answer:
Step-by-step explanation:
Think of of this as a function in which the number of pounds is a function of the number of hours. Each piece of given information is a point. Each point has the format (x, y) = (hours, pounds), where hours is x and is the independent variable, and pounds is y and is the dependent variable.
You have two points (4.5, 1445) and (7, 2320). First find the slope of the line that passes through those two points. Use the slope formula,
m = (y2 - y1)/(x2 - x1).
Then using the slope and the point-slope equation of a line, find the equation of the line. The point-slope equation of a line is
y - y1 = m(x - x1),
where m = slope, and the point is (x1, y1).
Try it. If you have questions or need extra help, just comment.
A = event that you select a black sweater
P(A) = 2/5 since there are 2 black out of 2+3 = 5 total
After you make a selection, we have the event
B = event that you select another black sweater assuming event A has happened already
P(B) = 1/4 because there's 1 black sweater left out of 5-1 = 4 left over
Multiply the probabilities
P(A and B) = P(A)*P(B)
P(A and B) = (2/5)*(1/4)
P(A and B) = 2/20
P(A and B) = 1/10
The answer as a fraction is 1/10
In decimal form, it is 0.1
As a percent, the answer is 10%
Answer:
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(8x - 13)
= 
=
We need to round the number to the nearest hundred throusands.
this means that we will check the number after the poaition of the hundred thousands, if it is 5 or more,then we will add one otherwise we will ignore it and add zeros.
based on this, the number in the position next to the hundred thousands is 8 which mean that we will add one to the hundred thousands positions while all others will become zero.
Therefore,
789,091 to the nearest hundred thousands is 800,000
