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DIA [1.3K]
3 years ago
15

Help !! I need help with this math

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Transformation that maps triangle XYZ into triangle X'Y'Z' is a translation 3 units to the right and 1 unit down, because

  • X(0,0)→X'(3,-1);
  • Y(2,3)→Y'(5,2);
  • Z(4,-1)→Z'(7,-2).

So, the algebraic ru;e of the transformation is

(x,y)→(x+3,y-1)

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3 years ago
A probability distribution for a random variable Y is given by P(Y=y)=cy, for y=1,2,4,5 and c is a constant. Find E(Y), the expe
Dahasolnce [82]

Answer:

c(1+2+4+5) =1

c =\frac{1}{12}

Now we can find the expected value with this formula:

E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i

And replacing we got:

E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}

Step-by-step explanation:

For this case we know the following probability mass function given:

P(y) = cy , y= 1,2,4,5

For this case we need to satisfy the following condition in order to have a probability distribution function:

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And we have this:

c(1+2+4+5) =1

c =\frac{1}{12}

Now we can find the expected value with this formula:

E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i

And replacing we got:

E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}

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Do them backwards and you will get the answer
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