Answer:
0.0847 = 8.47%
Step-by-step explanation:
Since 600 people are classified as Republicans, 400 people are classified as Democrats.
It can be calculated the number of people who voted for each party as follows:
Votes for Republicans = 600 (total Republicans) – 60 (Republicans who voted for the Democratic candidate) + 50 (Democrats who voted for the Republican candidate) = 590 votes
Votes for Democrats = 400 (total Democrats) – 50 (Democrats who voted for the Republican candidate) + 60 (Republicans who voted for the Democratic candidate) = 410 votes
A total of 590 people voted for the Republicans and 50 of those are Democrats. Thus, the probability that a person who voted for The Republican candidate is a Democrat can be calulated:
P = 50/590 = 0.0847 = 8.47%
Cot x = cos x / sin x
or Cot x = 1/ tan x
Given:
Cot x = 4
Tan x = 1/4
x = 14.03 degrees
Answer:
y-y1 = m (x-x1)
where
m is the slope
and (x1,y1) is one of the points given.
You have been given 2 points (-12,8) and (9,1). You can call one of them (x1,y1) and the other (x2,y2). It doesn't matter which one is which.
But before we go further, we need to determine the slope.
We can do this from the points as well.
y2-y1
m = ---------
x2-x1
Let's say
(x1,y1) = (-12,8)
(x2,y2) = (9,1)
This gives us a slope of
y2-y1 1-8 -7 -1
m = --------- = ---------- = ---- = ---
x2-x1 9-(-12) 21 3
Now that we have everything we need
y-8 = (-1/3)[x-(-12)]
Distribute the -1/3
y-8 = (-1/3)x -4
If we add 8 to both sides we have the equation in the slope intercept form (y=mx+b)
y = (-1/3)x + 4
Answer:
12
Step-by-step explanation:
Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go
