First of all we will find per ounce price of each trail mix.
Let us find per ounce price of cran-soy trail mix.
Now we will find per ounce cost of raisin-nuts mix.
Let us find per ounce price of lots of cashews mix.
Now we will find per ounce cost of nuts for you mix.
Now let us order our trail mix brands from least expensive to most expensive by their per ounce price.
Nuts for you (0.4), Raisin-nuts mix (0.487), Cran-soy trail mix (0.598), Lots of cashews mix (0.88).
270° → ≈ 4.7
360° → ≈ 6.3
60° → ≈ 1.1
45° → ≈ 0.8
135° → ≈ 2.4
225° → ≈ 3.9
Answer:
18.14% probability that you would get at least 12 questions correct.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
What is the probability that you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.