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marishachu [46]
3 years ago
11

Select True or false for each statement

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

False

True

False

False

Step-by-step explanation:

1. We have to get the sum as follows :

3\frac{4}{9} + 4\frac{6}{9}

= \frac{31}{9} + \frac{42}{9}

= \frac{31 + 42}{9}

= \frac{73}{9}

= 8\frac{1}{9} \neq  7\frac{1}{9}

So, this is false.

2. We have to get the sum as follows :

4\frac{5}{6} + 1\frac{3}{6}

= \frac{29}{6} + \frac{9}{6}

= \frac{29 + 9}{6}

= \frac{38}{6}

= 6\frac{2}{6}

So, this is true.

3. We have to get the difference as follows :

4\frac{5}{8} - 2\frac{4}{8}

= \frac{37}{8} - \frac{20}{8}

= \frac{37 - 20}{8}

= \frac{17}{8}

= 2\frac{1}{8} \neq  2\frac{3}{8}

So, this is false.

4. We have to get the difference as follows :

7\frac{5}{8} - 4\frac{2}{8}

= \frac{61}{8} - \frac{34}{8}

= \frac{61 - 34}{8}

= \frac{27}{8}

= 3\frac{3}{8} \neq   3

So, this is also false. (Answer)

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The computation shows that the the hospital in-patient admission rate for the employees of the Prendergast Corporation is 104.5 admissions per 1000 employees.

<h3>How to calculate the value?</h3>

The in-patient admission rate for Ramsey Manufacturing company = 100 admissions per 1000 employees.

It is given that the in-patient rate of Prendergast will be 10% higher than Ramsey's.

So, in-patient rate of Prendergast:

= 100 + 10% of 100

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Now, it is also given that out of total in-patients, 5% are for tonsillectomies (which are not in-patient).

So, in-patient admission rate for Prendergast:

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<u>Complete question:</u>

The hospital in-patient admission rate for employees of the Ramsey Manufacturing Company is 100 admissions per 1000 employees per year.

The Prendergast Corporation has older employees and is told that its hospital in-patient admission rate will be 10% higher than Ramsey’s. At the same time, however, all tonsillectomies will be done in the hospital’s outpatient department instead of requiring the patient to be admitted as an in-patient. Given that 5% of all in-patient admissions are for tonsillectomies, what is the hospital in-patient admission rate for the employees of the Prendergast Corporation?

A. 110.0 B. 115.0 C. 109.5 D. 100.0 E. 104.5 F. 117.0

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