Answer:
12
step by step equation:
Lindsay owns 12 books.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the number of books that Lindsay owns.
y is the nuber of books that Destiny owns.
z is the number of books that Henry owns.
Lindsay owns one-third the number of books that Destiny owns.
This means that:
, or
Henry owns a fourth as many books as Destiny.
This means that , or . Also, in function of x, we may have
Together they own 57 books.
This means that
We want to find x. So
Lindsay owns 12 books.
Answer:
??????????????????? 3+1
Step-by-step explanation:
Answer: 1:2
Step-by-step explanation: if she sleeps 8 hours out of 24 hours, 8 goes into 24, 3 times so 1 to 2 ratio because you subtract the time she is awake from the time she is asleep
Answer:
0.1507 or 15.07%.
Step-by-step explanation:
We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.
First of all, we will find z-scores for data points using z-score formula.
, where,
z = z-score,
x = Sample score,
= Mean,
= Standard deviation.
Let us find z-score of data point 22.03.
Using probability formula 
, we will get:
Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.
