Answer:
Range of the function → {24, 375}
Step-by-step explanation:
Domain of the function f(x) = 3x³ is {2, 5}
we have to find the range when its domain is {2, 5}
Since x-values of any function define the domain and y-values define the range.
For x = 2,
f(2) = 3(2)³ = 24
For x = 5,
f(5) = 3(5)³ = 375
Therefore, range of the given function for the given domain will be {24, 375}.
Answer:
b. exam completion time is negatively skewed
Step-by-step explanation:
A data distribution is said to be negatively skewed when <em>median</em> value of the distribution is higher than the <em>average</em> value of the distribution.
In this example
- average mid-term completion time is 40 minutes
- median mid-term completion time is 55 minutes.
thus median > mean, so the mid-term completion time is negatively skewed. Negatively skewed distributions are also called left-skewed.
Answer:
$7803.72
Step-by-step explanation:
We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.
First of all, we will find the volume of silo using volume of cone formula.
, where,
r = radius
h = Height
We know that radius is half the diameter, so radius of silo would be
.





Now we will multiply total volume by $414 to find total cost.\



Therefore, it will cost $7803.72 to fill the silo with soybeans.
Answer:
230833333333/10000000000
Step-by-step explanation:
Well to write this as a fraction you will first write 23.0833333333 as our numerator
Now you would multiply numerator by denominator which you could put 1 as denominator and multiply by 10 and you get your whole number/your answer.
Hope this helps have a great day:)
keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?
![\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20y%20%3D%20%5Ccfrac%7B2%7D%7B3%7Dx%5Cimplies%20y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B%5Ccfrac%7B2%7D%7B3%7D%7Dx%2B0%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).
