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:
EG = 2 units
Step-by-step explanation:
Given that line q bisects EG at T , then
ET = TG ( substitute values )
x = x - 2 ( multiply through by 3 to clear the fraction )
x = 3x - 6 ( subtract x from both sides )
0 = 2x - 6 ( add 6 to both sides )
6 = 2x ( divide both sides by 2 )
3 = x
Then
ET =
x =
× 3 = 1
TG = x - 2 = 3 - 2 = 1
Thus
EG = ET + TG = 1 + 1 = 2 units
Answer:
Step-by-step explanation:
4^2+x^2 = 15^2
x^2 = 15^2 - 4^2 = 225-16 = 209
x=sqrt(209)
x = 14.46
Hello!
First of all let's find the perimeter (circumference) of the semi circles. We can combine them to make one circle with a diameter of 4 (as we can see the side length of one semi circle is 4 cm. We now plug it into the circumference equation (

=3.14).
4(3.14)=12.56
Now we add up the side lengths of the rectangle.
4+6+4+6=20
Now we add up the length of our circle and rectangle.
20+12.56=32.56
Therefore our answer is
32.56 cm.
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Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.
A=

r²
First we will square our radius.
2(2)=4
Now we multiply by pi.
4(3.14)=12.56
Now we need to find the area of the rectangle.
6(4)=24
Now we add.
24+12.56=
36.56.
I hope this helps!
Answer:
Apples and Peaches
Step-by-step explanation:
It is convenient to compare the prices for 3 lbs of each of the fruits.
Multiply the price and quantity of Apples by 4:
... 4×(3/4 lb) = 4×$1.59
... 3 lb = $6.36 . . . . for apples
Multiply the price and quantity of Plums by 6:
... 6×(0.5 lb) = 6×$1.15
... 3 lb = $6.90 . . . . for plums
The two lowest-priced fruits are apples (6.36/(3 lb)) and peaches (5.37/(3 lb)).
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<em>Comment on</em> the best deal
No criteria are provided for determining the best deal. Though plums are higher-priced, they have somewhat higher polyphenol content than apples or peaches, so may provide the best deal in terms of nutrition per dollar.