Answer:
c
Step-by-step explanation:
ON=MN, so triangle onm is a right isosclese triangle, so ON=NM=4 square root 2
If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y
y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =
We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)
However, if the sample space is continuous, it will be simply p(x<y)=1/2.
Answer: Four-thirdsπ(6)³
Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.
Notice that two of the options listed have <em>three-fourths</em> but we use <em>four-thirds </em>to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.
Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.
Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
32 x 0.05 ( because there are are 32 cans that are worth 5 cents each ) = 160 cents ($1.60)
Then:
10 x 0.20 ( 10 bottles that are worth 20 cents each ) = $2
Then plus them together
Answer = $3.60