Answer:
10.20% probability that a randomly chosen book is more than 20.2 mm thick
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:
250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.
So for the book.
What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)
This is 1 subtracted by the pvalue of Z when X = 20.2. So
has a pvalue of 0.8980
1 - 0.8980 = 0.1020
10.20% probability that a randomly chosen book is more than 20.2 mm thick
Answer:
a) The number of visits between the patrons who buys the season passes shows higher frequency than those who did not buy season passes, in general. However, the minimum value of 1 visit is present for both cases.
b) The mean visits of the patrons are just PARAMETERS. If you want to test your hypothesis using hypothesis testing, the statistics are the z or t scores comparing the parameters (means).
c) The proportion who would have paid less are those with 2 or fewer visits because they would only just paid $82 instead of $100.
Number of patrons with 2 or fewer visits: 16
Total number of patrons who bought season passes: 30
Proportion who would've paid less = 16/30 = 0.5333
Step-by-step explanation:
I just did it
Answer:
(3x + 2)(x-4)
Step-by-step explanation:
3x² - 10x - 8 = 0
(splitting the middle term)
3x² -12x + 2x -8 = 0
3x(x-4) + 2(x-4) = 0
(3x + 2)(x-4) = 0
(3x + 2)(x-4) is the correct answer (option a)
You need to calculate 12% of 800.
To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)
12% of 800 =
= 12% * 800
= 0.12 * 800
= 96
Answer: 96 students
