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galben [10]
3 years ago
10

Find the mistake: two-step equations Problem Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=

3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned} 3 8 ​ 3 8 ​ 1 3 1 ​ ​ =3(c+ 3 5 ​ ) =3c+ 3 5 ​ =3c =c ​ Step 1 Step 2 Step 3 ​ Find Bryce's mistake. Choose 1 answer: Choose 1 answer: (Choice A) A
Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Answer:

Step 1 is incorrect

Step-by-step explanation:

sukhopar [10]3 years ago
6 0

Answer:

answer 1

Step-by-step explanation:

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5.2.14. For the negative binomial pdf p (k; p, r) = k+r−1 (1 − p)kpr, find the maximum likelihood k estimator for p if r is know
Volgvan

Answer:

\hat p = \frac{r}{\bar x +r}

Step-by-step explanation:

A negative binomial random variable "is the number X of repeated trials to produce r successes in a negative binomial experiment. The probability distribution of a negative binomial random variable is called a negative binomial distribution, this distribution is known as the Pascal distribution".

And the probability mass function is given by:

P(X=x) = (x+r-1 C k)p^r (1-p)^{x}

Where r represent the number successes after the k failures and p is the probability of a success on any given trial.

Solution to the problem

For this case the likehoof function is given by:

L(\theta , x_i) = \prod_{i=1}^n f(\theta ,x_i)

If we replace the mass function we got:

L(p, x_i) = \prod_{i=1}^n (x_i +r-1 C k) p^r (1-p)^{x_i}

When we take the derivate of the likehood function we got:

l(p,x_i) = \sum_{i=1}^n [log (x_i +r-1 C k) + r log(p) + x_i log(1-p)]

And in order to estimate the likehood estimator for p we need to take the derivate from the last expression and we got:

\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\frac{x_i}{1-p}

And we can separete the sum and we got:

\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}

Now we need to find the critical point setting equal to zero this derivate and we got:

\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}=0

\sum_{i=1}^n \frac{r}{p} =\sum_{i=1}^n \frac{x_i}{1-p}

For the left and right part of the expression we just have this using the properties for a sum and taking in count that p is a fixed value:

\frac{nr}{p}= \frac{\sum_{i=1}^n x_i}{1-p}

Now we need to solve the value of \hat p from the last equation like this:

nr(1-p) = p \sum_{i=1}^n x_i

nr -nrp =p \sum_{i=1}^n x_i

p \sum_{i=1}^n x_i +nrp = nr

p[\sum_{i=1}^n x_i +nr]= nr

And if we solve for \hat p we got:

\hat p = \frac{nr}{\sum_{i=1}^n x_i +nr}

And if we divide numerator and denominator by n we got:

\hat p = \frac{r}{\bar x +r}

Since \bar x = \frac{\sum_{i=1}^n x_i}{n}

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3 years ago
marvin the math magician has a problem for you. he wants to buy some magic wands and some magic hats. the wands cost $8 each and
tensa zangetsu [6.8K]
He will pay $131 for all that stuff

7 0
3 years ago
Read 2 more answers
Julie spent 1/6 of her money on books , 1/3 of the remainder on a dress and saved the rest.
Lana71 [14]

The answers are 5/9 and $234.

6 0
2 years ago
Read 2 more answers
What deductions from a paycheck are reasonable for a worker to expect?
anastassius [24]
Social security tax
Medicare tax
Federal income tax depending on income
State income tax depending on state
and tbh there are a lot of deductions to expect
5 0
3 years ago
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Please help asap will give brainliest!!
Anit [1.1K]

Answer:

802

Step-by-step explanation:

802

6 0
3 years ago
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