Which items cost less than $3.75 per item?
1 answer:
You might be interested in
Question is Incomplete; Complete question is given below;
Cloud Nine is having a sale on all shirts and pants in the store. Olivia purchased 8 shirts and 4 pairs of pants for $176. Raheem purchased 3 shirts and 4 pairs of pants for $116. Let x represent the price of a shirt and y represent the price of a pair of pants. Write a system of equations, and use the elimination method to find a reasonable price for a pair of pants.
Answer:
The system of equations are
The reasonable price for pair of pants is $20.
Step-by-step explanation:
Let the price of shirt be 'x'.
Let price of pair of pants be 'y'.
Given:
Olivia purchased 8 shirts 4 pairs of pants for $176
So we can say that;
8 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 176.
framing in equation form we get;
Also Given:
Raheem purchased 3 shirts and 4 pairs of pants for 116.
So we can say that;
3 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 116.
framing in equation form we get;
Hence the system of equation are
Now by using elimination method we will subtract equation 2 from equation 1 we get;
Now Substituting the value of x in equation 1 we get;
Hence The reasonable price for pair of pants is $20.
Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.
For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.
- There are 75 first-time visitors on a given day, hence n = 75.
The probability that exactly 36 of them buy a product is P(X = 36), hence:
More can be learned about the binomial distribution at brainly.com/question/24863377