Jeffrey works as a barista at a cafe. He earns tips plus an hourly wage of $8.50, both of which are included in his weekly paych
eck. After working for one week, Jeffrey received a paycheck for $410.50. If Jeffrey made $130 in tips that week, which equation could be used to determine, h, the number of hours Jeffrey worked during that week?
2 answers:
Answer:
The answer is 8.50h + 130 = 410.50
Step-by-step explanation:
For Plato users:
The total amount of Jeffrey's paycheck is equal to the amount he earns from his hourly wages plus the amount he earns from tips. The amount he makes from his hourly wages is 8.50h, which is the hourly wage times the number of hours, h, Jeffrey works each week. The amount earned from tips is $130. Set the sum of these two values equal to the total amount of Jeffrey's paycheck in order to complete the equation representing this situation.
You might be interested in
Answer:
95.64% probability that under 30% of the dogs are emotional support trained
Step-by-step explanation:
For each dog, there are only two possible outcomes. Either they have completed emotional support training, or they have not. So we use the binomial probability distribution to solve this problem.
However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
What is the probability that under 30% of the dogs are emotional support trained?
30% of 100 is 0.3*100 = 30
So this is the pvalue of Z when X = 30.
has a pvalue of 0.9564.
So there is a 95.64% probability that under 30% of the dogs are emotional support trained