Identify the horizontal asymptote of each graph. t(x) = 67 y=0 y=1 y=6

A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n

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The given details include: Height of the rectangular prism, h = 3 units, Surface area of the prism, A = 52 sq units. We need to determine the volume of the prism. The volume of a rectangular prism can be calculated using the formula: l = length and b = breadth. Given that the surface area of the prism, A = lb, we have it equal to 52 sq units. Consequently, the volume is 156 cubic units.

Answer: The mean and variance of Y are $0.25 and $6.19 respectively.

Step-by-step explanation:

The scenario is as follows: You and a friend participate in a game involving tossing a fair coin.

The sample space for tossing two coins is {TT, HT, TH, HH}

Let Y represent the earnings from one round of the game.

If both faces are heads, you win $1; therefore, P(Y=1)=P(TT)=

You win $6 if both faces are heads, so P(Y=6)=P(HH)=

If the faces do not match, you lose $3 which means P(Y=1)=P(TH, HT)=

To find the expected value to win: E(Y)=

Thus, the mean of Y: E(Y)= $0.25

Variance =

Therefore, variance of Y = $ 6.19

Answer:   a)     b)

Step-by-step explanation:

a) To achieve an even total, there are 3 possible combinations:

1) Even, Even, Even, Even    

2) Even, Even, Odd, Odd  

3) Odd, Odd, Odd, Odd  

Order is irrelevant

Summing these yields your final result:

b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.