IQR = 40
1) Put the numbers in order: 40, 45, 50, 60, 60, 75, 90, 90, 120
2) Find the median: Median is 60 (the 2nd one)
3) Place parentheses around the numbers above and below the median. For easy identification of Q1 and Q3. (40, 45, 50, 60,) 60, (75, 90, 90, 120)
4) Find the Q1 and Q3. Q1 = median of the lower half of the data; Q3 = median of the higher half of the data. Q1 and Q3 have even sets so its median cannot be defined.
5) Had both sets contain odd sets, the median of Q1 is subtracted from the median of Q3 to get the IQR.
We can then use the Alternative definition of IQR.
IQR is the difference between the largest and smallest values in the middle 50% of a set data.
40, 45, 50, 60, 60, 75, 90, 90, 120
Middle 50% is 50, 60, 60, 75, 90; IQR = Largest value - smallest value;
IQR = 90 - 50 = 40
(-1,-2) would result in a relation that is no longer a function.
In the table, there's already x = -1 and y = -4. Function only gives a single y-value with x-value. If a single x-value gives two y-values then it'd not be Function.
If we add (-1,-2) in the table. The domain will be repetitive. Basically, we already have (-1,-4) and if we add (-1,-2) in the table, a single x-value will give TWO y-values which is not a function.
Answer:
Step-by-step explanation:
From the graph in the attachment Y has coordinates:Y(3,2)
The transformation rule for a dilation with a scale factor k about the origin is:
In this case we have
We substitute the coordinates and to get:
This simplifies to:
The first choice is correct.
Answer:
The amount of salt required is 0.3685 grams.
Step-by-step explanation:
20.9% of 1 gram of salt is chlorine, which means the grams of chlorine in 1 gram of salt are
Now, to make 220 ppm solution, it must be that
where is the grams of chlorine required.
We rearrange the equation and solve for
since 1 gram of salt has 0.209 grams of chlorine, 0.07702g of chlorine corresponds to
Thus the amount of salt required is 0.3685 grams.
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