Answer:
P(B) = 0.85
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:

These events are independent.
This means that
. So



So

We are given with a function equal to f(x) = x^4. When the function is changed to -f(1/2x), the function changes to -f(1/2x) = (1/2 x)^4 equal to (-1/16 x^4). The graph of the function should be opening the opposite way and has a narrower plot. answer is C
Answer:
x = - 4, x = 0, x = 1
Step-by-step explanation:
To find the zeros equate p(x) to zero, that is
3x³ + 9x² - 12x = 0 ← divide through by 3
x³ + 3x² - 4x = 0 ← factor out x from each term
x(x² + 3x - 4) = 0
x(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
Answer:
C = 35 + 45h
In the equation above $35 is the initial value which interprets the cost for motor parts and $45/hour is the rate of charge of the mechanic per hour.
Step-by-step explanation:
Charges for parts and $45 per hour for labor that takes a mechanic for maintenance of a car.
It costs $125 as Terri spent 2 hours for car maintenance.
Since the function is linear, so we can write
125 = 45 × 2 + x {Where x is the charges for parts}
⇒ x = 35
Therefore, the equation that models the situation is given by
C = 35 + 45h ......... (1)
where C is the total cost and h is the number of hours.
Here, in equation (1) $35 is the initial value that interprets the cost for parts and $45/hour is the rate of charge of the mechanic per hour. (Answer)