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
21/4 ÷ 14/9
21/4 × 9/14
189/56
3/3/8
Answer:
Step-by-step explanation:
the simple interest formula= principal* interest rate*time
simple interest : 100000*%2*2 years
simple interest= 4000 dollars
compound quarterly : A=principal(1+r/4)^t
since it is quarterly and have 4 quarters in a year, and 8 in two years.
compound quarterly: 100000(1+0.03/4)^8=106159.88
it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.
the difference between the interest: 6159.88-4000=2159.88
Answer:
30%
Step-by-step explanation:
A percent can be found by dividing the part by the whole, or
part/whole
In this case, the part is the amount he spent on fruit. The whole is the total amount he spent.
amount spent on fruit/ total amount spent
He spent $18 on fruit, and $60 in total.
$18/ $60
Divide 18 by 60
18/60
0.3
Convert 0.3 to a decimal by multiplying by 100 or moving the deicaml place two spots to the right.
0.3*100=30
0.3--> 3.0 --> 30
30%
He spent 30% on fruit.
