The general rule for 90° counterclockwise rotation about the origin is given by:
(x,y)→(-y,x)
thus given that S has coordinates of (5,4), then rotation through 90° will map the the figure on S'(-4,5). Hence the answer is:
C](-4,5)
Answer:
4/2 45/63
Step-by-step explanation:
Answer:
A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Step-by-step explanation:
A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.
B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.
{ x : 0 ≤ x ≤ 6; x ∈ Z}
ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.
{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Answer:
The answer is: 
Step-by-step explanation:
The sample space when tossing a coin three times is [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT] and the total number of occurrence is 8.
Getting Head on first toss, tail on second and third is: HTT and it occurs just once in our sample space.
Therefore, the probability of getting Head on first toss, tails on second and third tosses is:
Note probability = 
