Answer:
5,2
Step-by-step explanation:
Clockwise rotations for 90 is
The preimage of (x,y), or for this problem, (-2,5) into (y,-x).
So, a clockwise rotation is from x,y into y,-x
So we do -2,5 into 5,2
We flipped the x and y, and the 2 became positive because two negatives equal a positive
Answer:
Step-by-step explanation:
The answer is B.16 : 52.
Let's compare all ratios to 4 : 13.
A. In order to be equivalent to 4 : 13 the ratio should be 8 : 26
4 : 13 = (4×2) : (13×2) = 8 : 26
B. In order to be equivalent to 4 : 13 the ratio should be 16 : 52
4 : 13 = (4×4) : (13×4) = 16 : 52 - Thus, this is the right choice.
C. In order to be equivalent to 4 : 13 the ratio should be 12 : 39
4 : 13 = (4×3) : (13×3) = 12 : 39
D. In order to be equivalent to 4 : 13 the ratio should be 20 : 65
4 : 13 = (4×5) : (13×5) = 20 : 65
Answer:
C=25
Step-by-step explanation:
Replace "f" by 77, then solve for "c".
77=9/5c+32; Substitute 32 from both sides.
45=9/5c; Divide the fractions.
45/1=9/5c;
c=45/1×5/9=225/9=25
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.