Sales tax and tip will increase the price of an item.
The cost of each meal is: $10.89
Let the cost of both meals be x.
A 20% tip means that, the current price is:
A 6% sales tax on the meal means that, the current price is:
So, we have:
The amount paid is $27.72
So, the equation becomes
Make x the subject
So, the cost of each meal is:
Hence, the cost of each meal is: $10.89
Read more about sales tax at:
Answer:
The leg measures 14.14 cm
Step-by-step explanation:
The "40 - 40 - 90" special right triangle is an isosceles right triangle because two angles measures the same. (Check the picture)
The legs are the same.
The hypotenuse is:
a × √2
From the question, the length of the hypotenuse is 20 cm.
20 = a × √2
20 ÷ √2 = a
a = 10√2 ≈ 14.14 cm
Answer:
68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Looking at a random sample of 8 jobs that it has contracted, find the probability that x (number of jobs finished on time) is within one standard deviation of the mean.
Within 1 standard deviation of the mean is from Z = -1 to Z = 1. So this probability is the pvalue of Z = 1 subtracted by the pvalue of Z = -1.
Z = 1 has a pvalue of 0.8413
Z = -1 has a pvalue of 0.1587
So there is a 0.8413 - 0.1587 = 0.6826 = 68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.