Answer:
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
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 a randomly selected exam will require more than 15 minutes to grade
This is 1 subtracted by the pvalue of Z when X = 15. So



has a pvalue of 0.3783.
1 - 0.3783 = 0.6217
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
Answer:
7000
Step-by-step explanation:
Answer:
Shop B
Step-by-step explanation:
Hi there!
To solve this question, we can find the new prices of each oven and identify which one is cheaper.
<u>Shop A</u>
Usual price: $190
Discount: 15%
First, we must subtract the discount percent from 100:
100 - 15 = 85
Therefore, the new price of the product will be 85% of the original price. Find 85% of $190:
190 × 0.85
Therefore, the new price is $161.50.
<u>Shop B</u>
Usual price: $200
Discount: 20%
Again, subtract 20 from 100:
100 - 20 = 80
This means that the new price of the oven is 80% of the original price:
200 × 0.8 = 160
Therefore, the new price is $160.
Because a $160 oven is cheaper than a $161.50 oven, Shop B sells the oven at a lower price.
I hope this helps!
Answer:
x=-2
Step-by-step explanation:
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