Answer:
59 accidents were investigated.
Step-by-step explanation:
The question above is a probability question that involves 2 elements: causes of accidents.
Let
A = Alcohol
E = Excessive speed
In the question, we are given the following information:
18 accidents involved Alcohol and Excessive speed =P(A ∩ E)
26 involved Alcohol = P(A)
12 accidents involved excessive speed but not alcohol = P( E ) Only
21 accidents involved neither alcohol nor excessive speed = neither A U B
We were given P(A) in the question. P(A Only) = P(A) - P(A ∩ E)
P(A Only) = 26 - 18
= 8
So, only 8 accident involved Alcohol but not excessive speed.
The Total number of Accidents investigated = P(A Only) + P( E only) + P(A ∩ E) + P( neither A U B)
= 8 + 12 + 18 + 21
= 59
Therefore, 59 accidents were investigated.
The slope intercept form is y=mx+b. m being the rate of the slope (rise over run) so in this case 2/1, or simply 2. b is the y intercept, or where a line passes through the y intercept, in this case it is -1.
The answer that I got is C=-6
Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:
y = x + z
it says that tall people are 3.times more likely. this would mean they won three times more than short people. so
z = 3x.
so if we know what z equals, we can replace z with what it is equal to. so:
y = x + z
y = x + 3x
y = 4x
we know that 60 medals were won so
y = 4x
60 = 4x
x = 15
that is the amount won by short people