Answer:
0.3667
0.2727
Step-by-step explanation:
a)
P (Blue) = P (large and Blue) + P (mid and Blue) + P (small and Blue)
P (Blue) = (0.5 * 0.2) + (0.4*7 / 12) + (0.1* 1 / 3)
P (Blue) = 0.3667
b)
Conditional Probability:
P (Large / Blue ) = P (large and Blue) / P ( Blue)
P (Large / Blue ) = 0.5*0.2 / 0.36667
P (Large / Blue ) = 0.2727
Answer:
26 year old
Step by step explanation:
Five years ago, John's age was half of the age he will be in 8 years.
this means that (x-5) = (x+8)/2
-----
solving for x, we get:
2 * (x-5) = x + 8
which becomes:
2x - 10 = x + 8
which becomes:
x = 18
-----
john is 18 years old now.
5 years ago john was 13
8 years from now john will be 26
13 = 1/2 * 26
Answer:
20 miles
Step-by-step explanation:
d miles × (1 h)/(10 miles) = d/10 hours
d miles × (1 h)/(40 miles) = d/40 hours
d/40 = d/10 - 3/2
d = 4d - 60
d = 20 miles
2x + 3 ≥ 7
2x ≥ 7 - 3
2x ≥ 4
x ≥ 4 / 2
x ≥ 2
2x + 9 > 11
2x > 11 - 9
2x > 2
x > 1
Those are your two inequalities, now we must find one that satisfies both. Combine them together you get:
1 < 2 ≤ x
That last inequality becomes your answer.
x ≥ 2 makes both statements true.
