Answer:
See below
Step-by-step explanation:
<u>Given function</u>
<h3>Part A</h3>
<u>Filling in the table using the function, substitute t for each line:</u>
<u>time | elevation</u>
<u>0 | 5 </u>
<u>5 | 372.5 </u>
<u>10 | 495 </u>
<u>15 | 372.5 </u>
<u>20 | 5 </u>
<h3>Part B</h3>
The graph is attached
Answer:
13/24
Step-by-step explanation:
=3/8+1/6=9/24+4/24=(9+4)/24=13/24
Answer:
3 patients had all the three complaints
Step-by-step explanation:
Let U be the set of patients who reported at the hospital on that day
Let F be the set of patients who complained of fever
Let S be the set of patients who had stomach troubles
Let I be the set of injured patients
Then the given data can be written as:
- n(U) = n(F∪S∪I) = 100
- n(F) = 70
- n(S) = 50
- n(I) = 30
- n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44
n(F∩S∩I) = ?
Using the formula for the cardinal number of union of three sets:
n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)
100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)
100 = 150 - 44 - 2×n(F∩S∩I)
2×n(F∩S∩I) = 106 - 100 = 6
<u>n(F∩S∩I) = 3</u>