The gratuity on a restaurant bill was $18. If a 20% tip was left, what was the original amount of the bill?
1 answer:
The original amount of the bill is $90.
Given that, the gratuity on a restaurant bill = $18 and tip = 20%.
We need to find the original amount of the bill.
<h3>What is a gratuity?</h3>A gratuity is a sum of money customarily given by a customer to certain service sector workers such as hospitality for the service they have performed, in addition to the basic price of the service.
The tip is directly proportional to the total cost
= $90
Therefore, the original amount of the bill is $90.
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The relative frequency of female mathematics majors will be 0.5142.
<h3>How to find the relative frequency?</h3>The proportion of the examined subgroup's value to the overall account is known as relative frequency.
A sample of 317 students at a university is surveyed.
The students are classified according to gender (“female” or “male”).
The table is given below.
Then the relative frequency of female mathematics majors will be
⇒ 36 / (36 + 34)
⇒ 36 / 70
⇒ 0.5142
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Answer:
The degrees of freedom are given by:
Since is a two-sided test the p value would be:
Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example ().
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean is different from 1.35 in/year, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a two-sided test the p value would be:
Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example ().