Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta
2 answers:
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Answer:
Step-by-step explanation:
Given
Solving (a):
Find k
To solve for k, we use the definition of joint probability function:
Where
Substitute values for the interval of x and y respectively
So, we have:
Isolate k
Integrate y, leave x:
Substitute 0 and x/2 for y
Integrate x
Substitute 0 and 2 for x
Solving (b):
We have:
Where
To find , we use:
So, we have:
Integrate x leave y
Substitute 0 and y/3 for x
Integrate
Substitute 0 and 2 for y
Answer:
The inequality required to express the above condition is x ≥ 18.75
Step-by-step explanation:
Renata and her family go through an average of more than 15 cans of sparkling water each day.
The number of cases of 24 cans of sparkling water.
We can take the number of cases to be x.
Each case is said to cost $3.50.
An inequality for the number of cases that Renata's family go through in 24 days can be written as
x ≥ ⇒ x ≥
⇒ x ≥ 18.75
Therefore the inequality required to express the above condition is
x ≥ 18.75