The product of two integers is 72. One number is two less than five times the other. Which of the following equations could be u
1 answer:
Let the 2 integers be x and y.
Their product is 72, so we write: xy=72. (I)
One of them, say y, is 2 less than 5 times the other. We can write this as the equation:
y=5x-2. (II)
To find one of numbers, say x, we can substitute y with 5x-2, in the first equation:
xy=72,
expanding the left hand side expression we get:
.
Answer: C
Their product is 72, so we write: xy=72. (I)
One of them, say y, is 2 less than 5 times the other. We can write this as the equation:
y=5x-2. (II)
To find one of numbers, say x, we can substitute y with 5x-2, in the first equation:
xy=72,
expanding the left hand side expression we get:
Answer: C
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Answer:
There is a 34.60% probability that 0 or 1 of them is nearsighted.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they are nearsighted, or they are not. This means that we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem, we have that:
12% of children are nearsighted. This means that .
A school district tests all incoming kindergarteners' vision. In a class of 18 kindergarten students, what is the probability that 0 or 1 of them is nearsighted?
There are 18 students, so
This probability is:
So
So
There is a 34.60% probability that 0 or 1 of them is nearsighted.