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Stella [2.4K]
4 years ago
14

Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. use the

given values of n and p to find the mean muμ and standard deviation sigmaσ. ​also, use the range rule of thumb to find the minimum usual value mu minus 2 sigmaμ−2σ and the maximum usual value mu plus 2 sigmaμ+2σ.
Mathematics
1 answer:
mamaluj [8]4 years ago
7 0

A binomial distribution is an experiment where there are two outcomes; Success and failure. For instance, you are given n = 128 and p = 0.27. The formula for the variance of a binomial distribution is n*p(1 – p) or n*p*q*. They are equivalent because q = 1- p. We will use the first equation.

 

Variance = n*p*(1 – p)

Variance = 128*0.27*(1 – 0.27)

Variance = 25.23

 

To get the standard deviation, find the square root of the variance.

Standard deviation = sqrt (Variance)

Standard deviation = sqrt (25.23)

<span>Standard deviation = 5.02</span>

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Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utili
Marrrta [24]

We need to find a polynomial function f(x) with degree 3 and zeros 2 and 2i, such that:

f(-1)=30

Since 2i is a zero, -2i is also a zero of this function. Thus, we have:

f(x)=a(x-2)(x-2\imaginaryI)(x+2\imaginaryI)

where a is a constant.

Expanding the expression on the right side, we obtain:

\begin{gathered}  \\ f(x)=a(x-2)\lbrack x²-(2i)²\rbrack \\  \\ f(x)=a(x-2)(x²-4i²),\text{ i^^b2=-1} \\  \\ f(x)=a(x-2)(x²+4) \\  \\ f(x)=a(x³-2x²+4x-8) \end{gathered}

Now, using f(-1) = 30, we obtain:

\begin{gathered} 30=a\lbrack(-1)³-2(-1)²+4(-1)-8\rbrack \\  \\ 30=a(-1-2-4-8) \\  \\ 30=a(-15) \\  \\ a=\frac{30}{-15} \\  \\ a=-2 \end{gathered}

Therefore, the function is:

Answer

f(x)=-2x^{3}+4x^{2}-8x+16

6 0
1 year ago
The registration fee for a used car is 0.8% of the sale price of %5,700. how much is the fee?
KatRina [158]
Before I answer the question, I believe it is important to note that I considered the sign prior to 5,700 as a dollar sign. Then, to determine the registration fee that is to be paid for the car, we multiply the decimal equivalent of the given percentage to the sale price giving us,
                    registration fee = ($5,700)(0.008) = $45.6
Thus, the registration fee costs $45.6. 
8 0
3 years ago
Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he
FinnZ [79.3K]

Table is attached below

From the table we can see that the Lemon cost is equal to 35% of the expenses

Let the expense be x, Lemons cost is 70

Lemon cost = 35% * x

70 = 35% * x ( 35% = \frac{35}{100} = 0.35)

70 = 0.35 * x

x = \frac{70}{0.35}

x= 200, Expense = $200

Given : Profit percentage is 15%= \frac{15}{100} = 0.15

Profit = profit percentage * Expense

Profit = 0.15 * 200 = 30

So profit = $30


5 0
3 years ago
Read 2 more answers
What is 1 + 1 :)))))) EZ 100
SashulF [63]

Answer:

2

Step-by-step explanation:

You add i guess? Umm, seems pretty hard to explain such a simple question, lol

7 0
3 years ago
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Simplify 3/15 - 2/25
Alik [6]
Make the denominators equal by multiplying them:
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Subtract:
\frac{12}{75}
Simplify:
\frac{4}{25}
The answer is
\frac{4}{25}
or 0.16
4 0
3 years ago
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