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
Maybe use a ruler To find the area and add them together to fin the volume.
Yes. A rectangle can have any amount of width.
Answer:
a. 2
b. 6
c. 1
Step-by-step explanation:
The degree is the highest exponent on the variable in an expression
a. 2
b. 6
Both x and y have exponents of 3. To determine the degree, add the exponents together. 3+3=6
c. 1
When no exponent is present on the variable, it is always 1.
Answer:
Since length and width are perpendicular, Doubling either one will double the area. So Doubling both will quadruple the area. 2x2 = 4.
This idea works if the dimensions doubled are those that are used to compute area. Like the base and height of a triangle.
More generally, in a polygon, if all the sides are doubled, the area is multiplied by 4. In a circle, Doubling the radius will quadruple the area.
In 3 dimensions, Doubling one dimension will double the VOLUME. Doubling two perpendicular dimensions will quadruple the volume and Doubling 3 perpendicular dimensions will multiply the volume by 2x2x2 or 8.
Step-by-step explanation:
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