Answer:
both the slopes and the y intercepts are the same for both of these functions because if you look at the graph you will notice that the y intercept is positive 3 just the function and to get its slope just use the formula y2-y1/x2-x1 to get the slope of also a -2 so answer is b
Answer:
In step by step
Step-by-step explanation:
For #1, everything is perfect.
For #2, you wrote your functions out incorrectly, but your x input and y output are correct
#3 is a little messed up.
Your function is f(x)=-3x+1. Your given x's are -3, -1, 0, 1, 2, and 3. Plug all of these in.
1. f(-3)=-3(-3)+1
2. f(-1)=-3(-1)+1
3. f(0)=-3(0)+1
4. f(1)=-3(1)+1
5. f(2)=-3(2)+1
Answer:
a) 90 boxes
b) 27 boxes
Step-by-step explanation:
Please see the attached picture for the full solution.
I'm assuming you meant to say
P(A) = 2/3
P(A and B) = 1/3
If that is the case, then A and B are independent if and only if the following equation is true
P(A and B) = P(A)*P(B)
So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it
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P(A and B) = P(A)*P(B)
P(A)*P(B) = P(A and B)
(2/3)*P(B) = 1/3
P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3
P(B) = (1*3)/(3*2)
<h3>P(B) = 1/2 is the answer</h3>
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If P(B) = 1/2, then
P(A and B) = P(A)*P(B)
P(A and B) = (2/3)*(1/2)
P(A and B) = (2*1)/(3*2)
P(A and B) = 1/3
Which is the given probability for both events happening. This confirms we have the correct P(B) value.
