Answer:
0.06
Step-by-step explanation:
The computation of the value of p is shown below;
P in the case (2 points if not fouled) = 0.6
Now Expected points if not fouled is
= 0.6 × 2
= 1.2
Now Expected points from free throw is
0 × (1-p)^2 + 1 × 2p(1-p) + 2 × p^2 = 2p
As we can see that 2p would be lower tha 1.2 in order to make a foul on shooter that represent all values of p<0.06 would be considered to foul in the shooter
Answer:
18 units.
Step-by-step explanation:
A classic right triangle is the 3, 4, 5 triangle. Essentially, 3^2 + 4^2 = 5^2 . Otherwise known as, 9 +16 = 25. With that said, there are two of those that we can make by drawing horizontal lines along the grid. We also know from counting the two vertical sides are each 4 units. To summarize, two sides are 5 units and two are 4 units. We add them together, 5 + 5 + 4 + 4 = 18
Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
- the number 0 — additive identity
- a(b+c) = ab+ac — the distributive property
- an equation containing more than one variable — literal equation
- the number 1 — multiplicative identity
- the reciprocal of a number — multiplicative inverse
If x ≠ 0, then 1/x is its multiplicative inverse — true.
The product of a number and its multiplicative inverse is 1 — true.
The correct answer is -1/3.
