Answer:
-11.25
Step-by-step explanation:
Answer:
630 people
Step-by-step explanation:
Ratios:
Answer:
13 1/3 and 6 2/3.
Step-by-step explanation:
Let the 2 parts be x and (20 - x).
So x^2(20 - x) must be a maximum.
y = x^2(20 - x)
y = 20x^2 - x^3
Finding the derivative):
y' = 40x - 3x^2 = 0 for maxm/minm value.
x( 40 - 3x) = 0
40 - 3x = 0
3x = 40
x = 40/3.
This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.
So the 2 numbers are 13 1/3 and 6 2/3.
Answer:
a = 9
Step-by-step explanation:
2(a + 7) = 5a - 13
We want to bring a to one side, I will choose to bring it to the right
First, expand the bracket by multiplying 2 with a + 7
2a + 14 = 5a - 13
Bring the -13 to the left by adding 13 to both sides
2a + 14 + 13 = 5a - 13 + 13
Simplify
2a + 27 = 5a
Bring the 2a to the right by subtracting 2a from both sides
2a - 2a + 27 = 5a - 2a
Simplify
27 = 5a - 2a
27 = 3a
Bring the 3 to the left by dividing both sides by 3
27÷3 = a
Simplify
a = 9
Step-by-step explanation:
S = { 1, 2, 3, 4, 5, 6 7, 8 }
n ( S ) = 8
Let A be the event of getting 4,
A = { 4 }
n ( A ) = 1
P ( A )
= n ( A ) / n ( S )
= 1 / 8
Therefore, the probability of spinning a 4 is 1 / 8.
S = { A, B, A, C, A, B }
n ( S ) = 6
Let Y be the event of getting C,
Y = { C }
n ( Y ) = 1
P ( Y )
= n ( Y ) / n ( S )
= 1 / 6
Therefore, the probability of spinning a C is 1 / 6.
