A teacher grades 27 tests in 3 hours.find the constance of variation

Mathematics

1 answer:

Elena-2011 [213]1 year ago

8 0

Answer: 9

Step-by-step explanation:

27 divided by 3 is 9 so 9 is the constant variation

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√7 is between what two consecutive integers?

bulgar [2K]

Answer: √7 is between 2 and 3

Step-by-step explanation:

The next lower number that is a perfect square is 4, the next higher perfect square is 9. Take the roots of those two numbers to find the integers you are looking for.

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3 years ago

We have n = 100 many random variables xi 's, where the xi 's are independent and identically distributed bernoulli random variab

Alex777 [14]

Recall that for a random variable $X$ following a Bernoulli distribution $\mathrm{Ber}(p)$ , we have the moment-generating function (MGF)

$M_X(t)=(1-p+pe^t)$

and also recall that the MGF of a sum of i.i.d. random variables is the product of the MGFs of each distribution:

$M_{X_1+\cdots+X_n}(t)=M_{X_1}(t)\times\cdots\times M_{X_n}(t)$

So for a sum of Bernoulli-distributed i.i.d. random variables $X_i$ , we have

$M_{\sum\limits_{i=1}^nX_i}(t)=\displaystyle\prod_{i=1}^n(1-p+pe^t)=(1-p+pe^t)^n$

which is the MGF of the binomial distribution $\mathcal B(n,p)$ . (Indeed, the Bernoulli distribution is identical to the binomial distribution when $n=1$ .)

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3 years ago

Please help me solve

NemiM [27]

$m\angle ADC=m\angle ADB+m\angle BDC\\\\m\angle ADC=112^o,\ m\angle ADB=6x+7,\ m\angle BDC=12x-3\\\\\text{substitute}\\\\(6x+7)+(12x-3)=112\\\\(6x+12x)+(7-3)=112\\\\18x+4=112\ \ \ \ |-4\\\\18x=108\ \ \ \ |:18\\\\x=6\\\\m\angle ADB=6x+7\to m\angle ADB=(6(6)+7)^o=(36+7)^o=43^o$