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:
Option C is correct
Step-by-step explanation:
In this question, we are asked to select which of the options have the same value as 7/3
We examine the options one urge other.
Option A
9/49; This is wrong as it cannot be divided further to yield while multiples
Option B
18/42; Dividing through by 6 will yield 3/7 which is not same as 7/3; This makes this option wrong too
Option C
42/18; dividing through by 6 will yield 7/3 which makes this option correct
Option D
49/9; This is a dead end as it cannot be divided further to give whole number multiples
Answer:
12 meters
Step-by-step explanation:
Given That :
Length of ladder = 15m
Height of wall =. 9 m
Using Pythagoras rule :
Adjacent² = hypotenus² - opposite²
Adjacent² = 15² - 9²
Adjacent² = 225 - 81
Adjacent² = 144
Adjacent = sqrt(144)
Adjacent, x = 12