Answer:
0.2047
0.2377
Step-by-step explanation:
1.
What we have here is a binomial distribution
Probability p = 0.12
N = number of students in the class = 30
Probability of finding 4 left handers
P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶
= 27405 x 0.00020736 x 0.03602047835
= 0.2047
2.
This is also a binomial distribution
N = 10 p = 0.65
P(of 6 knowledgeable fans)
= 10C6 x (0.65)⁶ x (0.35)⁴
= 210 x 0.0754189 x 0.01500625
= 0.2377
Answer:
rock, pop, metal, country
Step-by-step explanation:
Rock has the lowest probability at .1 or 1/10
Then pop and .2 or 2/10
Then metal at .3 or 3/10
Country has the greatest at .4 or 4/10
The frequency will go the same order
Answer: $23
Step-by-step explanation:
1) 25-8=17
2) 17-4= 13
3) 13+10= 23
Matthew has $23 now
Answer:
The distance between the two train stations is 1728 km
Step-by-step explanation:
The speed of the bus = 54 km/h
The speed of the truck = 48 km/h
When the bus and truck meet again, the distance covered by the bus = 216 km more than he distance traveled by the truck
Let the distance between the two train stations = x
Let the location where they first meet be y from station A we have;
The location where they meet again = y - 216 km
Therefore, we have;
Location where they
The time for the truck and the bus to meet again = t
Therefore, 54 × t - 48 × t = 216 km
6·t = 216 km
t = 36 hours
Therefore, the time for the bus to travel x + 216 km = 36 hours
54 × 36 = 1944 = x + 216
x = 1944 - 216 = 1728 km
The distance between the two train stations = 1728 km.
The probability of picking a green marble the first time is 3/20 and the probability of picking a yellow marble the second time is 8/20.
probabilities are heavily related to percents so it would make sense that the probability of picking a color would be the number of that color divided by the total number.
note that it is really important that the problem said that the marble was replaced. If the marble was not replaced, the probability of picking a yellow marble the second time would be 8/19 if the first marble picked was not a yellow one.
I hope this helps.
