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almond37 [142]
3 years ago
7

What is the value of x?????

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0
Tan(60)=opp/adj

Tan(60)= x/15

sqrt3= x/15    Cross multiply here

x= sqrt3 x 15 

The answer is A


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Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
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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;

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       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)}

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Step-by-step explanation:

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