You want to find
; that is, given that you randomly choose from the pool of women, the probability that she does not exercise.
By definition of conditional probability,

496 of the total 1026 people are woman, and 341 of the 1026 people are women and do not exercise, so

A simpler way of doing this is to look at what's called the marginal distribution of women in the table. Basically this comes down to ignoring all but the data pertaining to the women. There's a total of 496 women, and 341 of them do not exercise. So the probability that a given woman does not exercise is 341/496.
Answer:
A
Step-by-step explanation:
Given
u = <6, -1>
u = 6i-j
and
v=<7,-4>
v=7i-4j
The formula for angle is:
Let x be the angle

where ||u|| is the length and u.v is the dot product or scalar product of both vectors
So,



The calculated angle will be in radians. To find the angle in degrees:

Hence Option A is correct ..
Slope intercept form: y = mx + b
m = slope
b = y-intercept
We are given the slope of 5/3.
We can solve the y-intercept by using the given slope and coordinate:
y = 5/3x + b
5 = 5/3(6) + b
5 = 10 + b
5 - 10 = 10 - 10 + b
-5 = b
Put this into the final equation:
y = 5/3x - 5
Best of Luck!
The answer would be 7z-17y+24
Explanation
========================================================
The problem is simplify 24-4(5y-6z)+3y-7z
We can focus on the smaller important parts first which would be to multiply -4(5y-6z). A common mistake is that people always forget to multiply with the negative sign.
We multiply -4(5y) + -4(-6z) ===> -20y + 24z
We now have...
24-20y+24z+3y-7z
We combine any like terms and we get...
17z-17y+24
<em>I hope this helps : )</em>