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tresset_1 [31]
3 years ago
11

What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/4)^x

Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0

Answer:

Step-by-step explanation:

This graph is the parent function    y = (1/4)x   shifted  down 3 units

So....the correct answer is  :   f(x)=(1/4)x −3

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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
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
Please include step by step!
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Answer:

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Step-by-step explanation:

5 0
2 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Once I found x, I used the pythagorean theorem to get 34.78 feet

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3 years ago
What property is shown by the equation?
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E. negative one property of multiplication.
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