Answer:
x=16
Step-by-step explanation:
Simplifying
0.4x + -4 = 2.4
Reorder the terms:
-4 + 0.4x = 2.4
Solving
-4 + 0.4x = 2.4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 0.4x = 2.4 + 4
Combine like terms: -4 + 4 = 0
0 + 0.4x = 2.4 + 4
0.4x = 2.4 + 4
Combine like terms: 2.4 + 4 = 6.4
0.4x = 6.4
Divide each side by '0.4'.
x = 16
Simplifying
x = 16
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>
Any equation that has the same gradient is parallel to it. E.G y = 4x + 5
The GCF of 312 and 444 is 12.
Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete, as the required data to answer the question are missing.</em>
<em>However, the interpretation of the question is to determine the interquartile range (IQR) of a certain dataset.</em>
<em>Then get the difference between the calculated IQR & Joe's data and also the difference between the calculated IQR & Sam's data</em>
<em>Then, make comparison</em>
<em />
To do this, I will use the following assumed datasets.
IQR is calculated as:
is of the upper half
is of the lower half
For Joe, we have:
The median is then calculated as:
For, the lower half:
So:
For the upper half:
So:
When the same process is applied to Sam's data,
Assume that:
<em>Hence, the IQR is 47 points less for Joe's data than Sam's</em>