Answer:
Step-by-step explanation:
y being <em>directly proportional</em> to the square of x means that the ratio between the two will always be equal to some constant (let's call it k). In equation form, we'd say:
We're told that y = 96 when x = 4, so we can plug those values in to find k:
Our more general equation is now
If we want to put y in terms of x, we need to get the y by itself on one side of the equation, which we can do here by multiplying both sides by x², giving us
<u>Step-by-step explanation:</u>
Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :
2x - 8 = 5x + 3
⇒
⇒ { subtract 2x from both side }
⇒
⇒
⇒ { subtract 3 from both sides }
⇒
⇒
⇒ { divide 3 from both sides }
⇒
Answer:
The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = a fisher at Clearwater Park had a fishing license
<em>Y</em> = a fisher at Mountain View Park had a fishing license
The two events are independent.
The information provided is:
n (X) = 48
n (X') = 32
n (Y) = 72
n (Y') = 18
Then,
N (X) = n (X) + n (X')
= 48 + 32
= 80
N (Y) = n (Y) + n (Y')
= 72 + 18
= 90
Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:
Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.