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swat32
3 years ago
6

(2x-y)2-(y+2)2:::::::::::::::

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

(2x - y )2 - (y + 2)2 = 4 (x - y - 1)

Step-by-step explanation:

(2x -y) 2 - ( y + 2 ) 2 = (4x -2y) -(2y + 4) \\\\

                             = 4x - 2y -2y - 4\\\\=4x - 4y - 4\\\\=4(x-y-1)

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Step-by-step explanation:

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Conditional probabilities are based on some event occurring given that something else has already occurred?
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3 years ago
Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
In 2009, Zane paid $9,540 in federal income tax. In 2010, he paid 10% less. How much did Zane pay in 2010?
Dominik [7]

Answer: $940

Step-by-step explanation:

You multiply the 9540 by .10 because 10% turns into .10 and then when you multiply that which is.... 9540x.10= 954

4 0
4 years ago
Read 2 more answers
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