Answer: 108 miles
There is 6 miles per hour
Multiply 6x18=108
Step-by-step explanation:
You write it as a improper fraction first*
20
-----
8
and then u divide 8 into 20
and we know that it goes in it 2.5 times
so simply from here
it is 2.5%
Answer:
The probability is 0.8704
Step-by-step explanation:
A Binomial distribution apply when we have n identical and independent events with two possible results, success or fail, and a probability p of success and 1-p of fail. Then, the probability that from the n events, x are success is:
Then, the number of motorist driving more than 5 miles per hour over the speed limit follow a Binomial Distributions, because we have 4 randomly selected motorists with two possible options: they are driving more than 5 miles per hour over the speed limit or they aren't, and the probability that they are driving more that 5 miles per hour over the speed is 0.4.
Finally, the probability P that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit is:
P = P(1) + P(2) + P(3) + P(4)
Where n is equal to 4 and p is equal to 0.4. Replacing the values for every x, we get:
Finally, P is equal to:
P = 0.3456 + 0.3456 + 0.1536 + 0.0256
P = 0.8704
Answer:
(a) Option A. independent
(b)
Step-by-step explanation:
Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.
In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.
In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.
When two events are independent then
The probability that a baby is a girl is
The probability of obtaining a 1 when casting a 16-sided die is:
Then:
Answer: 150 quarts of sparkling water and 70 quarts of grape fruit
Step-by-step explanation:
1 quart of juice requires 1 1/2(3/2) quarts of sparkling water
1 quart of juice requires 3/4 quarts of grape fruit
For 100 quarts of juice,
Sparkling water needed = 3/2 × 100
= 150 quarts
Grape fruit needed = 3/4 × 100
= 75 quarts