Answer:
27 pages.
Step-by-step explanation:
Let l be the number of pages in the long paper and s be the number of pages in the short paper.
We have been given that the total number of pages for both papers is 40. We can represent this information in an equation as:
We are also told that the number of pages in the long paper is one more than two times the number of pages in the short paper. We can represent this information in an equation as:
We will use substitution method to solve system of linear equations.
From equation (1) we will get,
Upon substituting this value in equation (2) we will get,
Upon adding 2l to both sides of our equation we will get,
Let us divide both sides of our equation by 3 we will get,
Therefore, there must be 27 pages in the long paper.
Answer:
10/14, 15/21
Step-by-step explanation:
WE are given a ratio 5/7
To find equivalent ratios it is sufficient to multiply both numerator and denominator by the same number
Let us take 2,3 for example.
When we multiply both numerator and denominator by 2, value does not change.
Hence we get equivalent fraction.
So 10/14 is one such fraction.
Next is multiply by 3
15/21 is another fraction.
Answer:
<u>300 feet</u>
Step-by-step explanation:
The absolute value of a number is defined as that number's distance from 0 (the origin) on a number line, regardless of direction.
In this case, the origin can be represented by sea level. Since the lowest point of 300 feet is taken by reference to sea level, it can be said that the absolute value of the point is 300 feet, since this represents its vertical distance from sea level.
Hope this helps!
These are the answers I got for these questions. B, B, A, A, B, B, B, A, D, and D. I suspect that most of those questions are missing division signs. These answers should be correct.
This Question is Incomplete
Complete Question
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?
Answer:
Sample size n = 16
Step-by-step explanation:
We use the formula for Margin of Error for the question
Margin of Error = z × Standard deviation/√n
Margin of Error = 1
z score for 99% confidence interval = 2.576
Standard deviation = 100
1 = 2.576 × 100/√n
1 × √n = 257.6
√n = 257.6/1
n = √257.6
n = 16.049922118
Approximately = 16
Therefore, the sample size = 16
