Answer: a. 0.4 × 0.15 = 0.060
Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.
For P(A):
P(A') = 1 - 0.6
P(A') = 0.4
For P(B):
P(B') = 1 - 0.85
P(B') = 0.15
To determine probability of A' and B':
P(A' and B') = P(A')*P(B')
P(A' and B') = 0.4*0.15
P(A' and B') = 0.06
<u>Probability of the complement of the event is 0.060</u>
Answer:
Simon's Age = 47
Marcie's Age = 11
Step-by-step explanation:
<em>The question is to find Simon's age and Marcie's age.</em>
<em />
Let Simon's age be x and Marcie's age be y
<u>Simon is 3 years more than 4 times marcie, so we can write:</u>
x = 4y + 3
Also,
<u>Sum of their ages is 58, so we can write:</u>
x + y = 58
or x = 58 - y
Now, we substitute this into 1st equation and solve for y first:
We know
x = 58 - y
so,
x = 58 - 11
x = 47
So,
Simon's Age = 47
Marcie's Age = 11
Answer:
The first amount is larger by 25% or .25a
Step-by-step explanation:
Lets increase a by 50%
The increase is .5a
So the new value is a + .5a = 1.5a
Now we will decrease the new value by 50%
decrease = .5 (1.5a) = .75a
The new value of a is 1.5a - .75a = .75a
a > .75a
a - .75a = .25a
a is bigger than .75a by .25a
In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:
f(g(x)) = 3(2x - 4) + 2
f(g(x)) = 6x - 12 + 2
f(g(x)) = 6x - 10
