Answer:
B
Step-by-step explanation:
P(AUB)=P(A)+P(B)-P(A∩B)
191/400=7/20+P(B)-49/400
P(B)=191/400+49/400-7/20=240/400-7/20=12/20-7/20=5/20=1/4
Answer:
is perpendicular to
and parallel to 
Step-by-step explanation:
First, convert the equation to standard form so that y is isolated.
x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> 
A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).
is perpendicular to
which simplifies to 5.
A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.
is parallel to
just like
.
Answer:
44
Step-by-step explanation:
The sum of the ratios is 6 + 2 + 3 = 11
Let b = total number of boots sold last week
If 24 football boots are sold, the equation representing this =
6/11 x b = 24
To solve for b, divide both sides by 11/6
b = 44 = total number of boots sold last week