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oee [108]
3 years ago
15

SOMEBODY PLEASE HELP ME!!!!!!!!!!!!! PLEASE!!!!! I WILL AWARD BRAINLIEST!!!!!!!

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

1. 18

2. 32

Step-by-step explanation:

1.  xy  is the digit

Remember x is the 10 digit so we multiply it by 10

2(x+y) = x *10 +y

Distribute

2x+2y = 10x+y

Subtract y from each side

2x +2y -y = 10x +y - y

2x+y = 10x

Subtract 2x from each side

2x+y -2x = 10x-2x

y = 8x

Since these are digits x must be 1 or y would be bigger than a digit

Then y =8

Our two digit number is 18

2.  1.  xy  is the digit

Remember x is the 10 digit so we multiply it by 10

10x +y =xy+26

Subtract xy from each side

10x -xy + y = 26

Factor out an -y

10x -y(x-1) = 26

X must be bigger than 2 or we cannot get 26

Let x=3

30 -y(3-1) =26

30 -2y = 26

Subtract 30 from each side

-2y = -4

Divide by -2

y=2

The number is 32

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They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

5 0
3 years ago
Suppose a certain type of fertilizer has an expected yield per acre of mu 1 with variance sigma 2, whereas the expected yield fo
mart [117]

Answer:

See the proof below.

Step-by-step explanation:

For this case we just need to apply properties of expected value. We know that the estimator is given by:

S^2_p= \frac{(n_1 -1) S^2_1 +(n_2 -1) S^2_2}{n_1 +n_2 -2}

And we want to proof that E(S^2_p)= \sigma^2

So we can begin with this:

E(S^2_p)= E(\frac{(n_1 -1) S^2_1 +(n_2 -1) S^2_2}{n_1 +n_2 -2})

And we can distribute the expected value into the temrs like this:

E(S^2_p)= \frac{(n_1 -1) E(S^2_1) +(n_2 -1) E(S^2_2)}{n_1 +n_2 -2}

And we know that the expected value for the estimator of the variance s is \sigma, or in other way E(s) = \sigma so if we apply this property here we have:

E(S^2_p)= \frac{(n_1 -1 )\sigma^2_1 +(n_2 -1) \sigma^2_2}{n_1 +n_2 -2}

And we know that \sigma^2_1 = \sigma^2_2 = \sigma^2 so using this we can take common factor like this:

E(S^2_p)= \frac{(n_1 -1) +(n_2 -1)}{n_1 +n_2 -2} \sigma^2 =\sigma^2

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3 years ago
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Step-by-step explanation:

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7 0
3 years ago
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the
pychu [463]

Answer:

Standard error of the mean parameter the average content of colognes

                                S.E = 0.02 ounces                            

Step-by-step explanation:

<u><em>Explanation</em></u><em>:-</em>

<em>Size of random sample 'n' = 121 bottles</em>

<em>mean of the sample </em>x^{-} = 4 ounces

<em>Standard deviation of Population</em>

<em>                       σ = 0.22</em>

<em>Standard error of the mean parameter the average content of colognes</em>

<em>                              </em>S.E = \frac{S.D}{\sqrt{n} }<em></em>

<em>                              </em>S.E = \frac{S.D}{\sqrt{n} } = \frac{0.22}{\sqrt{121} }<em></em>

                             S.E = 0.02

<u><em>Final answer:-</em></u>

<em> Standard error of the mean parameter the average content of colognes</em>

<em>                S.E = 0.02 ounces                            </em>

<em></em>

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Step-by-step explanation:

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8=2\cdot2\cdot2=2^3\\\\16=2\cdot2\cdot2\cdot2=2^4\\\\32=2\cdot2\cdot2\cdot2\cdot2=2^5\\\\64=2\cdot2\cdot2\cdot2\cdot2\cdot2=2^6\\\\128=2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2=2^7\\\\256=2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2=2^8

5 0
3 years ago
Read 2 more answers
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