The 68 - 95 - 99.7 rule, gives the basis to solve this question.
It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.
Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches
mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches
mean + 2 standard deviations = 64.5 inches + 5 inches = 69.5 inches
Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.
He has to mow 14 yard to get at least 200 but he will have 10 extra dollars.
You have a higher chance of getting a red or blue marble
Answer:
x = 3
Step-by-step explanation:
(x - 1)2 = 4
how to get this solved is very simple.
first step to apply is the BODMAS RULE
B..................... bracket
O..................... of
D.....................Division
M.................... multiplication
A..................... addition
S.................... Subtraction
so (x - 1)2 = 4
we have,
2x - 2 = 4 ( by opening the bracket)
collect the like terms
2x = 4+2
divide both sides by 2
2x/2 = 6/2
x = 3
to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside
(x - 1)2 = 4
(3-1)2=4
2(2)=4
4=4.............................. proved
Answer:
1700 books
Step-by-step explanation:
We are given;
- % of non-fiction books in the library as 28%
- Number of fiction books in the library as 1,224 books
We are required to determine the total number of books.
First we determine the percentage of non-fiction books
We need to know that;
% of fiction books + % of non-fiction books = 100%
Therefore;
% of non-fiction books = 100 % - 28 %
= 72%
Second we determine the total number of books
We know that;
Total number of books = 100%
But;
72% = 1,224 books
Therefore;
Total number of books = (1,224 × 100%) ÷ 72%
= 1700 books
Hence, the library has a total number of 1700 books