Answer:
slope = 2/5 and y Intercept = -5
y = 2/5x - 5
P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5
Rearrange
0.5p=-0.75f+6.5
Simplify
P=-1.25f+13
Substitute
0.75(-1.25f+13)+0.25f=4.5
simplify
-0.9375f+9.75+0.25f=4.5
<span>-0.6875f+9.75=4.5
</span>-0.6875f=-5.25
f=7.636364
Round
F=$<span>7.64 per pound
</span>
Plug in
0.75p+0.25(7.64)=4.5
Simplify
0.75p+<span>1.91=4.5
0.75p=</span><span>2.59
</span>p=3.453333
Round
P=$3.45 per pound of peanuts
Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit
Answer:
0.4
Step-by-step explanation:
The table with correct formatting is attached in the image below.
We have to find P(Y | B). This is a conditional probability i.e. probability of Y given B.
The formula of conditional probability for two event A and B is:

So, for the given case, the formula would be:

P(Y ∩ B) indicates the probability of Y and B occurring together. Y and B occur together 34 times out of total of 324, so:

P(B) indicates the probability of occurrence of B. B occurs 85 times in a total of 324. So,

Using these values in the formula of conditional probability, we get:

Thus, the value of P(Y|B) is 0.4