Answer:
(a)
(b)
(c)
(d)
Step-by-step explanation:
(a)
we can use property of exponent
we get
........Answer
(b)
we can use property of exponent
we get
........Answer
(c)
we can use property of exponent
we get
........Answer
(d)
we can use property of exponent
we get
we can use property
........Answer
Answer:
0.337 = 33.7% probability that one of the eight children has a food allergy.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
7% of U.S. children 4 years of age or younger have a food allergy.
This means that
A day care program has capacity for 8 children in that age range.
This means that
What is the probability that one of the eight children has a food allergy?
This is P(X = 1).
0.337 = 33.7% probability that one of the eight children has a food allergy.
Answer:
B) 1296 D) 729
Step-by-step explanation:
It's pretty straight forward, just put the values into your calculator. The question is asking to evaluate instead of simplifying, so this works. If you don't have a calculator, here are some tricks. Do them step by step in your head slowly if you have to, for fractions do them alone, and then divide them. Also in D, don't let the second value of (3)3)0 scare you, any exponent with a 0 in it is automatically 1! Hope I could help.