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Pie
3 years ago
6

Please help. Solving equations.

Mathematics
1 answer:
defon3 years ago
7 0

Answer:

     80

x=  ------

       7

Step-by-step explanation: photomath youre welcome

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A simulation was conducted using 10 fair six-sided dice, where the faces were numbered 1 through 6. respectively. All 10 dice we
kompoz [17]

Answer:

C) a sample distribution of a sample mean with n = 10  

\mu_{{\overline}{X}} = 3.5

and \sigma_{{\overline}{Y}} = 0.38

Step-by-step explanation:

Here, the random experiment is rolling 10, 6 faced (with faces numbered from 1 to 6) fair dice and recording the average of the numbers which comes up and the experiment is repeated 20 times.So, here sample size, n = 20 .

Let,

X_{ij} = The number which comes up  on the ith die on the jth trial.

∀ i = 1(1)10 and j = 1(1)20

Then,

E(X_{ij}) = \frac {1 + 2 + 3 + 4 + 5 + 6}{6}

                            = 3.5       ∀ i = 1(1)10 and j = 1(1)20

and,

E(X^{2}_{ij} = \frac {1^{2} + 2^{2} + 3^{2} + 4^{2} + 5^{2} + 6^{2}}{6}

                                = \frac {1 + 4 + 9 + 16 + 25 + 36}{6}

                                = \frac {91}{6}

                                \simeq 15.166667

so, Var(X_{ij} = (E(X^{2}_{ij} - {(E(X_{ij})}^{2})

                                    \simeq 15.166667 - 3.5^{2}

                                    = 2.91667

   and \sigma_{X_{ij}} = \sqrt {2.91667}[/tex                                            [tex]\simeq 1.7078261036

Now we get that,

 Y_{j} = \frac {\sum_{j = 1}^{20}X_{ij}}{20}

We get that Y_{j}'s are iid RV's ∀ j = 1(1)20

Let, {\overline}{Y} = \frac {\sum_{j = 1}^{20}Y_{j}}{20}

      So, we get that E({\overline}{Y}) = E(Y_{j})

                                                                 = E(X_{ij}  for any i = 1(1)10

                                                                 = 3.5

and,

       \sigma_{({\overline}{Y})} = \frac {\sigma_{Y_{j}}}{\sqrt {20}}                                             = \frac {\sigma_{X_{ij}}}{\sqrt {20}}                                             = \frac {1.7078261036}{\sqrt {20}}                                            [tex]\simeq 0.38

Hence, the option which best describes the distribution being simulated is given by,

C) a sample distribution of a sample mean with n = 10  

\mu_{{\overline}{X}} = 3.5

and \sigma_{{\overline}{Y}} = 0.38

                                   

6 0
3 years ago
Tommy has the following data:
VMariaS [17]
20 hope this helped <333333333333333333333
3 0
3 years ago
What is the exterior angle?
olganol [36]

Answer:

angle YUT = 120

Step-by-step explanation:

in Triangle SUT

angle 70 + angle 50 + angle x = 180

 70 + 50 + x = 180

 120 + x = 180

 x = 180 - 120

 x = 60

angle SUT = 60



angle SUT + angle YUT = 180 ( straight line)

60 + x = 180

 x = 120


Therefore angle YUT ( exterior angle ) = 120

7 0
3 years ago
If 3t-7=5t, then 6t=?<br><br> Explain how you got your answer!
kirill [66]

Answer:

6t = -21

Step-by-step explanation:

3t-7 = 5t simplifies by subtracting 5t on both sides, then adding 7 on both sides:

3t -5t  -7 +7 = 5t-5t+7

-2t = 7

t = -7/2

Then 6t = 6*-7/2 = -21

6 0
3 years ago
Read 2 more answers
Given the equation y = 2 x - 8, what is the slope and the y -intercept?
jeka94

Answer:

m=2 and b=-8

Step-by-step explanation:

This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.

When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.

m=2 and b=-8

I hope this helps!

4 0
3 years ago
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