Answer: 0.05
Step-by-step explanation:
Let M = Event of getting an A in Marketing class.
S = Event of getting an A in Spanish class,
i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45
Required probability = P(neither M nor S)
= P(M'∩S')
= P(M∪S)' [∵P(A'∩B')=P(A∪B)']
=1- P(M∪S) [∵P(A')=1-P(A)]
= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]
= 1- (0.80+0.60-0.45)
= 1- 0.95
= 0.05
hence, the probability that Helen does not get an A in either class= 0.05
The correct answer is 534.1
Answer: = 11.88
This is a 3 step / 4 show workings.
10.7 + Percentage increase = 11%
10.7 + (11% × 10.7) = 10.7 + 11% × 10.7
(1 + 11%) × 10.7 = (100% + 11%) × 10.7
111% × 10.7 = 111 ÷ 100 × 10.7
111 × 10.7 ÷ 100 = 1,187.7 ÷ 100
11.877 ≈ 11.88
Answer:
The relationship between the graphs is the intersection point at (0.667,1.333)
Step-by-step explanation:
we have
y=2x ----> equation A
The slope of the line A is equal to m=2
The line passes through the origin
y=2-x ----> equation B
The slope of the line B is m=-1
The x-intercept is the point (2,0)
The y-intercept is the point (0,2)
Line A and Line B are not parallel (the slopes are not equal)
Line A and Line B are not perpendicular (the product of their slopes is not equal to -1)
so
The relationship between Line A and Line B is the intersection point both graphs
using a graphing tool
The intersection point is (0.667,1.333)
see the attached figure
The intersection point is a common point , therefore belongs to both lines
A because there is no cubes or squared sign