1) Sample space of the spinner={Green, Blue, Purple, Yellow, Red}=5
2) Sample space of the cards={Red, Yellow, Blue, Pink }=4
1) P(spinner stops at purple) = 1/5
2) P(pink card selected) = 1/4
1) AND 2) are conditional probabilities:
P(spinner stops at purple ∩ pink card selected ) = (1/5)(1/4) = 1/20 =0.05
Answer:
the answer is 7 i believe
The length (L) of the rectangle can be written as a function of the width (W)

:
Now since we know Area = Width*Length, we can write the area as a function of the width:

Distributing the W inside the parentheses we have:

We know the area is 54 ft^2, so we can rewrite it as:

Now solve for W by factoring (or by applying the quadratic formula):

Factor out a common 2W from the first two terms and a 9 from the last two terms:

Regroup the terms to get our fully factored equation:

This gives us the roots W = 6 and W = -9/2, but width can't be negative so we have width = 6 ft. Then remember that the length L = 2W - 3, so our length is:

So now we know that our rectangle is 9 feet long and 6 feet wide.
Answer:
The first blank is 20 and the second one is 1.25
Step-by-step explanation:
i just took the quiz