Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
Answer:
Addition POE
Step-by-step explanation:
I believe it is the addition POE because
12x-4=44
To get 4 (the constant) to the right you have to do the inverse of subtraction which is addition. By doing so You would add 4 to both side, canceling it out on the left side and adding the 4 to the right side (44).
12x-4=44
<u> +4 +4</u>
12x=48
12/12=48/12
x=4
Answer:The diameter of the Ferris wheel in the image is 63 feet, and so the circumference is equal to C=πd=63π C = π d = 63 π feet. So the distance traveled in one ride (12 revolutions) is 12C=12⋅63π=756π≈2375.044 12 C = 12 ⋅ 63 π = 756 π ≈ 2375.044 feet.
Step-by-step explanation:
The answer would be 10.19m. If you want to round it of to a less precise measurement it would be 10 m. That is rounding of the decimal value to the ones place. the rule of rounding of is form 6 t0 9 it would add 1 to the nearest place value next to it and 0 - 5 will not.
Answer:
7.071 cm
Step-by-step explanation: