Answer:
The length of each side is 8 in.
Step-by-step explanation:
This is because a cube has all equal sides. That would mean that the volume would be (x)(x)(x). So the number that fits that formula is 8. 8(8) is 64 and 64 (8) is 512.
Answer:
The probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Step-by-step explanation:
Let the random variable <em>X</em> represent the amount of gas in Sarah's car.
It is provided that .
The amount of gas in a car is a continuous variable.
So, the random variable <em>X</em> follows a continuous uniform distribution.
Then the probability density function of <em>X</em> is:
For a continuous probability distribution the probability at an exact point is 0.
So, to compute the probability that the amount of gas in Sarah's car is exactly 7 gallons use continuity correction on both sides:
P (X = 7) = P (7 - 0.5 < X < 7 + 0.5)
= P (6.5 < X < 7.5)
Thus, the probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Given:
Since R is the midpoint of the line, we can set XR equal to RY and solve for x.
Now we know what x is. We can plug in x to RY and XR and then add it all together to find XY. Let's find XR:
Let's find RY now:
Since we know that:
We can plug in our answers:
Final answer:
3x^2 + 2x - 6 if x = -2
=3(-2)^2 + 2(-2) - 6
=12 - 4 - 6
= 2
5x^2 + 6x - 2 if x = -2
=5(-2)^2 + 6(-2) - 2
=20 - 12 - 2
= 6
-2x^3 + 2x^2 if x = 2
= -2(2)^3 + 2(2)^2
= -16 + 8
= -8