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sukhopar [10]
3 years ago
10

HELP!!! THIS IS DUE AT 11:59!

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0

Answer:

1. x = 22

2. x = 38

3. x = 24

Step-by-step explanation:

Uhhhhhh

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13, 5, 4, 9, 7, 14, 4 The deviations are _____.
fenix001 [56]

Answer:

B."5, -3, -4, 1, -1, 6, -4"

Step-by-step explanation:

We are given that

13,5,4,9,7,14,4

We have to find the deviation.

Mean=\frac{sum\;of\;data}{total\;number\;of\;data}

Using the formula

Mean,\mu=\frac{13+5+4+9+7+14+4}{7}

Mean,\mu=\frac{56}{7}=8

Deviation=x_i-\mu

         x_i-\mu

13          5

5           -3

4           - 4

9            1

7             -1

14            6

4            - 4

Hence, option  B is correct.

7 0
3 years ago
Describe how to use a tens fact to find the difference for 15-8
arlik [135]
When you use a tens fact you round to the nearest ten and 15-8=7. The nearest ten to seven is 10
Answer:10
5 0
3 years ago
Let X and Y be discrete random variables. Let E[X] and var[X] be the expected value and variance, respectively, of a random vari
Ulleksa [173]

Answer:

(a)E[X+Y]=E[X]+E[Y]

(b)Var(X+Y)=Var(X)+Var(Y)

Step-by-step explanation:

Let X and Y be discrete random variables and E(X) and Var(X) are the Expected Values and Variance of X respectively.

(a)We want to show that E[X + Y ] = E[X] + E[Y ].

When we have two random variables instead of one, we consider their joint distribution function.

For a function f(X,Y) of discrete variables X and Y, we can define

E[f(X,Y)]=\sum_{x,y}f(x,y)\cdot P(X=x, Y=y).

Since f(X,Y)=X+Y

E[X+Y]=\sum_{x,y}(x+y)P(X=x,Y=y)\\=\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y).

Let us look at the first of these sums.

\sum_{x,y}xP(X=x,Y=y)\\=\sum_{x}x\sum_{y}P(X=x,Y=y)\\\text{Taking Marginal distribution of x}\\=\sum_{x}xP(X=x)=E[X].

Similarly,

\sum_{x,y}yP(X=x,Y=y)\\=\sum_{y}y\sum_{x}P(X=x,Y=y)\\\text{Taking Marginal distribution of y}\\=\sum_{y}yP(Y=y)=E[Y].

Combining these two gives the formula:

\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y) =E(X)+E(Y)

Therefore:

E[X+Y]=E[X]+E[Y] \text{  as required.}

(b)We  want to show that if X and Y are independent random variables, then:

Var(X+Y)=Var(X)+Var(Y)

By definition of Variance, we have that:

Var(X+Y)=E(X+Y-E[X+Y]^2)

=E[(X-\mu_X  +Y- \mu_Y)^2]\\=E[(X-\mu_X)^2  +(Y- \mu_Y)^2+2(X-\mu_X)(Y- \mu_Y)]\\$Since we have shown that expectation is linear$\\=E(X-\mu_X)^2  +E(Y- \mu_Y)^2+2E(X-\mu_X)(Y- \mu_Y)]\\=E[(X-E(X)]^2  +E[Y- E(Y)]^2+2Cov (X,Y)

Since X and Y are independent, Cov(X,Y)=0

=Var(X)+Var(Y)

Therefore as required:

Var(X+Y)=Var(X)+Var(Y)

7 0
3 years ago
I WILL AWARD BRAINLIST PLS SOLVE
Ivanshal [37]

Answer:

Ah yes rsm.

Anyways, AB is parallel to DE so 72= angle BDE. So BDE+2x+2x=180

72+4x=180

108=4x

x=27

3 0
3 years ago
1) त्रिभुज LOK को क्षेत्रफल पत्ता लगाउनुहोस् । जहाँ
siniylev [52]

Answer:

hope this helps you.keep it up..

7 0
2 years ago
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