Answer:
x = 22
y = 13
Step-by-step explanation:
First solve x.
180 = 5x + 25 + 2x + 1
180 = 7x +26
154 = 7x
x = 22
Then use x to solve for y.
2(22) + 1 = 45
45 = 3y - 6
39 = 3y
y = 13
Answer:
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
Step-by-step explanation:
Mathematically;
(fg)(x) = f(x) * g(x)
so we have;
4x^2 +x^4 * √(x^2 + 4)
But √(x^2 + 4) = (x^2 + 4)^(1/2)
So we have;
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
Answer:
V ≈ 2144.70 
Step-by-step explanation:
Radius is going to be used instead of the diameter. Half of 16 is 8, and so that will be the value that shall be used.
V ≈ 2144.66
V ≈ 2144.70
Answer:
0.5
Step-by-step explanation:
This is an example of mutually exclusive event in which two or more events cannot occur at the same time or in a single performance.
Therefore, the probability the number of cars entering the roadway is between 4 and 6 cars per minute (inclusive) implies that it is either 4, 5 or 6 cars enter in a minute. Since we have an average of 6 cars per minute, the probability of each of the event occurring is 1/6. This can therefore be calculated as follows:
P(4 or 5 or 6) = (1/6) + (1/6) + (1/6)
= 3/6
= 1/2
= 0.5
Therefore, the probability the number of cars entering the roadway is between 4 and 6 cars per minute (inclusive) is 0.5.
