Dog No dog Total
Cat 31 10 41
No cat 24 7 31
Total 55 17 144
Answer:A
Step-by-step explanation:
Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
Answer:
The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .
Step-by-step explanation:
Step-by-step explanation:
(a) If his second pass is the first that he completes, that means he doesn't complete his first pass.
P = P(not first) × P(second)
P = (1 − 0.694) (0.694)
P ≈ 0.212
(b) This time we're looking for the probability that he doesn't complete the first but does complete the second, or completes the first and not the second.
P = P(not first) × P(second) + P(first) × P(not second)
P = (1 − 0.694) (0.694) + (0.694) (1 − 0.694)
P ≈ 0.425
(c) Finally, we want the probability he doesn't complete either pass.
P = P(not first) × P(not second)
P = (1 − 0.694) (1 − 0.694)
P ≈ 0.094
