Answer:
C
Step-by-step explanation:
To determine which point lies on the graph, substitute the x-coordinate into f(x) and if the value is equal to the y-coordinate then the point is on the graph
A (15, 1)
f(15) = 3 × 
≠ 1 ← not on graph
B (0, 15)
f(0) = 3 × 
= 3 × 1 = 3 ≠ 15 ← not on graph
C (1, 15)
f(1) = 3 × 
= 3 × 5 = 15 ← lies on graph
D (0, 0)
f(0) = 3 × = 3 × 1 = 3 ≠ 0 ← not on graph
The formula tells you
.. V = constant * T/P
That is, volume is proportional to absolute temperature and inversely proportional to pressure.
When temperature increases from 273 K to 300 K, volume is increased by the factor 300/273.
When pressure increases from 2 atm to 3 atm, volume is changed by the factor 2/3.
The new volume will be
.. (10 L) * (300/273) * (2/3) = 2000/273 L ≈ 7.3 L
Answer:
Outlier therefore could only be values below - 12.75
or could only be values above + 121.125
Step-by-step explanation:
0, 4, 6, 14, 17
inner quartile range of 0 - 17 is 1/2 of 17 subtracted from the higher number = 17 - 1/2 of 8.5 = 8.5 - 4.25 = 4.25 - 4.25 x 3
= 4.25 to 12.75 for inner quartile
inner quartile range is 12.75-4.25 = 8.5
We then 1.5 x 8.5 to show the outlier
= 12.75 meaning there is no outlier if is below.
Lower quartile fences = 4.25 - 1.5 = 2.75
or -1.5 x 8.5 (the range) = -12.75
Upper quartile fence = 12.75 + 1.5 = 14.25 x 8.5 = 121.125 this would be an outlier if it is 12.75 higher than 121.125 or 12.75 lower than 5.50.
Outlier therefore could only be values below - 12.75
or could only be values above + 121.125
An observation is considered an outlier if it exceeds a distance of 1.5 times the interquartile range (IQR) below the lower quartile or above the upper quartile. The values of the lower quartile - 1.5 x IQR and upper quartile + 1.5 x IQR are known as the inner fences.
An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile. The minimum value is so there are no outliers in the low end of the distribution. The maximum value is so there are no outliers in the high end of the distribution.
180-39-55=86°
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Answer:
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed. The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited or borrowed.
