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AlekseyPX
3 years ago
9

you are playing a game of scrabble and have 5 a tiles 3e tiles 1 z tile 2 m tiles 3 l tiles, and 1 y tile to choose from, what i

s the probability that you choose e or y on your next draw?
Mathematics
2 answers:
zzz [600]3 years ago
3 0
Since we want either an e tile OR a y tile, then they are not simultaneous. Thus, we add up the probabilities to form our final probability.

The total number of possibilities is: 5 + 3 + 1 + 2 + 3 + 1 = 15, because there are 15 tiles to choose from.

Now, P(e tile) = 3/15 = 1/5
P(y tile) = 1/15

When we add them up, we get: P(e tile or y tile): 3/15 + 1/15 = 4/15
Thus, we have a 4/15 in choosing an E or a Y tile on the next draw.
Hitman42 [59]3 years ago
3 0

There is a 1/3 chance (hope that also helps).

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Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

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Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
Find the solution to the system of equations x = -6 + 2y and x = 2y + 2.
andrew-mc [135]

x=-6+2y

x=2+2y

by subtraction

___________________________

x=-8

Substitute x by one of the two equations :

x=-6+2y

-8=-6+2y

2y=-8+6

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I think this is the answer

I hope I helped you^_^

5 0
3 years ago
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Step-by-step explanation:

You can solve the problem shown above keeping on mind the facts shown below:

Observe that there is a point in the graph in which there is a jump or a discontinuity between both parts of the function.

The point mentioned is at x=5

By definition, this indicates that the function shown is not continuous at that point.

Therefore, you can conclude that the value in which the graph is discontinuous is the value of the option d: 5

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Which of the following represents the value of y ? Round to the nearest tenth .
lesya [120]

The answer I think is b

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