The algebra tiles show two equal factors. They are (x + 4).
Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).
That is (x + 4)^2.
Then develop that perfect square to find the constant term.
(x + 4)^2 = x^2 + 8x + 16.
That means that the constant term needed to complete the trinomial is 16.
Answer: 16
Answer:
1/3
Step-by-step explanation:
48+32+16=96
numerator : 32
denominator : 96
32/96=1/3
Answer:
$34.27
Step-by-step explanation:
First, we should make everything the same value, so convert the 7.1 miles into meters. (11,423.9 meters). Since we are trying to find a value <em>per</em> 500 meters, divide the 11,423.9 meters by 500 to get 22.8478. Multiply this number by $1.50 to get the value 34.2717 and since we are rounding to the cent, that would be $34.27
Answer:
a) 2.9%
b) Option B is correct.
The prisoners must be independent with regard to recidivism.
Step-by-step explanation:
Probability that one prisoner goes back to prison = 17% = 0.17
a) The probability that two prisoners released both go back to prison = 0.17 × 0.17 = 0.0289 = 2.89% = 2.9% to 1 d.p
b) The only assumption taken during the calculation is that probability of one of the prisoners going back to prison has no effect whatsoever in the probability that another prisoner goes back to prison. That is the probability that theses two events occur are totally independent of each other.
If they weren't, we wouldn't be able to use 0.17 as the probability that the other prisoner goes back to prison too.
