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4 years ago

Which reason justifies step 2 in the proof, if it all the pictures are in this question I’ll make another question.

Mathematics

1 answer:

IRISSAK [1]4 years ago

8 0

Could you have a bit more clarification so there shall be a better understanding toreares your questions

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A man and a woman agree to meet at a certain location about 12:30 pm. If the man arrives at a time uniformly distributed between

dimaraw [331]

Explanation.

The question is incomplete. However, the complete part of the question simply states that: What is the probability that the man arrives first?

Answer:

Therefore, we can say that the probability that the man will arrive first is half that is 1/2 while the probability that no one will wait more than five times is 1/6

Step-by-step explanation:

We assume the man and the woman arrive at 12:X and 12:Y respectively (1:00 is 12:60). Also, the space of X and Y are [15, 45] and [0, 60] respectively, and fₓ (x) ≡ 1 / (45 − 15) = 1/30, fy (y) ≡ 1 / (60 − 0) = 1 / 60.

So the joint pdf of X and Y is

f(x, y) = 1 / 30 x 1 / 60

= 1 / 1800

where ( x , y ) ∈ [15, 45] × [0, 60].

Consequentially,

P(| X − Y | ≤ 5) = ∫ Iim (45)(15) ∫ lim (x+5)(x-5) f (x,y)dydx

= 1 / 1800 ∫ Iim (45)(15) y | ₓ₋₅ˣ⁺⁵ dx

= 30 x 10 / 1800

300 / 1800

= 1 / 6

Hence,

P( X < Y ) = ∫ Iim (45)(15) ∫ lim (60)(x) f (x,y) dydx

= 1 / 1800 ∫ Iim (45)(15) y | ⁶⁰ₓ dx

= 1 / 1800 ∫ Iim (45)(15) ( 60 - x ) dx

= 60 x − x ²/2 ÷ 1800 ║⁴⁵₁₅

= 1 / 2

8 0

3 years ago

Read 2 more answers

Simplify: a^3 - 4a^2 - 5 - (2a^3 + 3)

Xelga [282]

Answer:= −4a^4−a^3−7

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Ratio equivalent to 1:3

Margaret [11]

2:6

3:9

4:12

These are all equivilant

4 0

4 years ago

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Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be used to dete

Kazeer [188]

Answer:

A. (8/30)(22/29)(21/28)

Step-by-step explanation:

The key is in reading the question really thoroughly, like, way more than you would expect. The first person is from the group of 8, thus (8/30), but the other two cannot be from the group of 8. 30(students total) minus 8 (the 8 people from science class)=22 (remaining in math). You choose one person who is not from the group of 8, and you are left with 21 other people. The number of students available to be in a group goes down each time: 30 down to 29 down to 28 (the denominators). Kaboom, A. (8/30)(22/29)(21/28).

8 0

3 years ago

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The equation |p| = 2 represents the total number of points that can be earned or lost during one turn of a game. Which best desc

BartSMP [9]

Answer:

-2 or 2.

Step-by-step explanation:

We have been given an equation $|p|=2$ , which represents the total number of points that can be earned or lost during one turn of a game.

Since absolute value of a number is the distance between the number and the origin. Absolute value of a number determines how far a number is from zero (origin) on the number line.

Using definition of absolute value function we will get,

$p=-2\text{ or } p=2$

Therefore, -2 or 2 describes the number of points that can be earned or lost during one turn.

8 0

3 years ago

Read 2 more answers