Answer:
4
Step-by-step explanation:
9×3=27
2×7=14
1×4=4
nice logic
Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to
so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C
------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be 
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is
We are given with the points (-1,4), (2,7) and (1,5) as the sides of the triangle. The area of the triangle can be determined by determining first the length of the sides. Via distance formula, the sides are 3 sqrt 2, sqrt 5 and sqrt 5. The perimeter thus is equal to 8.71 units
Answer:
I think is is a bit b
Step-by-step explanation:
a or b
Answer:
the probability is 0.24 or 24%
Step-by-step explanation:
Given
Percentage of time he goes out with his girlfriend = 40%
Percentage of time he goes out to a bar = 60%
If he goes out with his girlfriend, the percentage of times he spends the night at his girlfriend’s apartment = 30%
If he goes out to a bar, percentage of times he gets in a fight and gets thrown in jail = 40%
let probability that the roommate went to the bar = A
As the roommate going to jail is a conditional probability dependent on A happening, the true probability of the roommate is found by multiplying the absolute probability of the roommate going out to a bar (A) by the probability of the roommate going to jail if he goes to a bar
that is Pr(B) =Pr (B n A)
Pr(B) = Pr(B/A) *Pr(A)
This is given as 60% * 40% or 0.6 * 0.4 (probabilities are 1/100 of percentages)
This gives an answer of 0.24 or 24%
