Can u pls help me with this question asap

Mathematics

2 answers:

Vlad [161]3 years ago

4 0

Answer:

Step-by-step explanation:

strojnjashka [21]3 years ago

3 0

Answer:

0.0025

Step-by-step explanation:

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Andrea and raleigh are each rolling a fair, six-sided die. they roll their dice simultaneously, individually keeping a sum until

sashaice [31]

Let An be the likely number of rolls for Andrea to arrive at 100 or more, given that she is n away from the target of 100 (which means her current total is 100 - n ). Then we get the recurrence relation

An = 1 + (1/6) (An-1 + An-2 + An-3 + An-4 + An-5 + An – 6)

and the initial conditions A0 = A-1 = A-2 = A-3 = A-4 = A-5 = 0. This results in A100 = 29.0476 as the amount of expected rolls that Andrea has to make.

Now let Rn to be expected amount of rolls for Raleigh to arrive at 100 or more, given than he is also n away from the target of 100. Now the recurrence relation is:

Rn = 1 + (1/2) (Rn-1 + Rn-6)

with the initial conditions R0 = R-1 = R-2 = R-3 = R-4 = R-5 = 0. This gives us R100 = 29.1837 as the expected amount of rolls for Raleigh.

Therefore Andrea has to make less number of rolls thus she is expected to win.

Winner: Andrea

7 0

3 years ago

a musician's hair was originally 3 inches long she asked the hairdresser to cut 5/6 of it off how many inches did she have cut o

True [87]

It would be half an inch long because there is 6 halves in 3 so 5/6 of it would be half an inch

5 0

3 years ago

Find the equation for the plane that contains the line x=−1+3t , y=1+2t, z=2+4t and is perpendicular to the plane containing the

Ivan

Let $L$ be the line given by the vector equation

$(-1,1,2) + \lambda(3,2,4) \ , \lambda \in \mathbb{R}$ .

First, we use the director vectors of the lines L1 and L2 to get the

vector equation of the plane containing them, which we denote by $\Pi_1$ . This is,

$\\\\\Pi_1 : (1,-1,5) + \alpha (2,-1,6) + \beta (1,1,-3) \ , \alpha, \beta \in \mathbb{R}\\\\\\$

We observe that $\vec{N} = (2,-1,6)\times(1,1,-3) = (-3,12,3) \ne (0,0,0)$ . Therefore, the vector equation of $\Pi_1$ defines a plane and $\vec{N}$ is a normal vector to $\Pi_1.$