The outlier in the given data set and the reason we know it is an outlier are;
<u><em>The outlier is 9.8</em></u>
<em><u>It is an outlier because it is the distance that is less than 10.</u></em>
- Outliers in mathematics are simply values that lie outside of the other values in a set of data. This means they are far larger than the given set of values or far smaller than the given set of values.
- Now, in this question, we see that the distances given in meters are;
10.1 m, 10.1 m, 10.2 m, 10.2 m, 10.3 m, 10.1 m, 10.2 m, 9.8 m
- From these set of data values, we can see that all but 1 of the values are more than 10. This number that is less than 10 is the odd one out of these set of data values and therefore it is the outlier.
Read more at; brainly.com/question/3631910
Answer:Length: 27m
Step-by-step explanation:
- the formula of area of rectangle is : width*length
- so we just replace the values in the formula
- 162=6*Length
- Length=162/6
- Length=27m
Answer:
is therr more to that question
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
If Denver gets 8/19 of the food, 11/19 of the food is left between Engle and Fido.
If the food is shared in a ratio of 6 : 2 between the pair, Engle gets 6/8 and Fido gets 2/8.
Thus, 2/8 = 25%.
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation

Solve for S(t):


The left side is the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F800%7DS%28t%29%5Cright%5D%3D%5Cdfrac8%7B100%7De%5E%7Bt%2F800%7D)
Integrate both sides:



There's no sugar in the water at the start, so (a) S(0) = 0, which gives

and so (b) the amount of sugar in the tank at time t is

As
, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.