Answer:
The possible values are a = -2.5 or a = 4.5.
Step-by-step explanation:
Composite function:
The composite function of f(x) and g(x) is given by:
In this case:
So
Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).
This means that when 
. So
Solving a quadratic equation, by Bhaskara:
The possible values are a = -2.5 or a = 4.5.
For there to be 1 car, we consider two possible outcomes:
The first door opened has a car or the second door opened has a car.
P(1 car) = 2/6 x 4/5 + 4/6 x 2/5
P(1 car) = 8/15
For there to be no car in either door
P(no car) = 4/6 x 3/5
P(no car) = 2/5
Probability of at least one car is the sum of the probability of one car and probability of two cars:
P(2 cars) = 2/6 x 1/5
= 1/15
P(1 car) + P(2 cars) = 8/15 + 1/15
= 3/5
Answer:(x+3)(3x+4)
Step-by-step explanation:
Answer: 40%
Step-by-step explanation:
Setting up an equation to solve,
25 as the denominator representing the total number of baseball games played to represent the "whole."
10 as the numerator representing the number of games the baseball games won to represent the "part" you want to calculate as a percentage.
The equation, looking like this,
10/25 = ___
after calculating the equation you get 2/5 as reduced, evaluating that in terms of percentage you get 40% as 5 represents 100% (the whole) and 2 representing 40% (the number of baseball games won)
