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3 years ago

A triangle has two sides of lengths 7 and 9. What value could the length of the third side be?

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

6 0

8 and 10 are possible lengths of the third side.

olga nikolaevna [1]3 years ago

5 0

The 3rd side < 7 +9

the 3rd side < 16

the 3rd side will be13 so choice E. is right

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For each one of the following statements, indicate whether it is true or false.

dexar [7]

Solution :

a). $\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y)$

Now, if X = Y, then :

$P(X|Y)=\left\{\begin{matrix} 1,& \text{if } x=y \\ 0, & \text{otherwise }\end{matrix}\right.$

Then, E[X|Y] = x = y

So, $\text{Var} (X|Y) =E((X-X)^2 |Y)$

$=E(0|Y)$

= 0

Therefore, this statement is TRUE.

b). If X = Y , then Var (X) = Var (Y)

And as Var (X|Y) = 0, so Var (X|Y) ≠ Var (X), except when all the elements of Y are same.

So this statement is FALSE.

c). As defined earlier,

$\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y=y)$

So, this statement is also TRUE.

d). The statement is TRUE because $\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y=y)$ .

e). FALSE

Because, $\text{Var} (X|Y) =E ((X-E(X|Y=y))^2 |Y=y)$

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3 years ago

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Answer:

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a positive improper fraction. the numerator becomes the denominator.

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