Sang-Jin has only quarters and nickels in her piggy bank. She has 66 coins in the bank with a value of $11. 50. How many quarter
1 answer:
One quarter is equal to the 0.25 dollars and one nickel equal to the 0.05 dollars. The total number of quarter in the Sang-Jin's piggy bank is 41.
Given information-
Sang-Jin has only quarters and nickels in her piggy bank.
She has 66 coins in the bank with a value of $11.50.
<h3>Quarter</h3>One quarter is equal to the 0.25 dollars.
<h3>Nickel</h3>One nickel equal to the 0.05 dollars.
Let <em>x </em>be the quarter and <em>y</em> be the nickels.
As there is total 66 coins. thus,
Suppose the above equation as the equation number 1.
As the total amount is $11.50. Thus,
Put the value of <em>y</em> from the equations 1 in the above equation. Thus,
Thus the total number of quarter in the Sang-Jin's piggy bank is 41.
Learn more about the quarter and nickel here;
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Using the binomial distribution, it is found that there is a 0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.
For each customer, there are only two possible outcomes, either they order their food to go, or they do not. The orders of each customer are independent of other customers, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
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:
- 52% of its customers order their food to go, hence
.
- Random sample of 5 customers, hence
.
The probability that exactly 4 order their food to go is P(X = 4), hence:
0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377