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Oliga [24]
3 years ago
5

A trig function given below. Describe the transformations from

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Range: [-3 , 1]

Step-by-step explanation:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Sketch the graph using 5 points listed below:

1) (0, -1)

2) (pi/2, -3)

3) (pi, -1)

4) (3pi/2, 1)

5) (2pi, -1)

Range: [-3 , 1]

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1,000 times 10 of the power of 3
NNADVOKAT [17]

Answer:

1,000,000

Step-by-step explanation:

10 to the power of 3 is 1,000.

1,000 x 1,000 = 1,000,000

6 0
1 year ago
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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o
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Answer:

Step-by-step explanation:

Step1:

We have Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t

Step2:

Let “X” the number of small aircraft that arrive during time t and it follows poisson distribution parameter “”

The probability mass function of poisson distribution is given by

P(X) = , x = 0,1,2,3,...,n.

Where, μ(mean of the poisson distribution)

a).

Given that time period t = 1hr.

Then,μ = 8t

             = 8(1)

             = 8

Now,

The probability that exactly 6 small aircraft arrive during a 1-hour period is given by

P(exactly 6 small aircraft arrive during a 1-hour period) = P(X = 6)

Consider,

P(X = 6) =  

              =  

              =  

              = 0.1219.

Therefore,The probability that exactly 6 small aircraft arrive during a 1-hour period is 0.1219.

1).P(At least 6) = P(X 6)

Consider,

P(X 6) = 1 - P(X5)

                = 1 - {+++++}

                = 1 - (){+++++}

                = 1 - (0.000335){+++++}

                = 1 - (0.000335){1+8+32+85.34+170.67+273.07}

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                = 0.8090.

Therefore, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8090.

2).P(At least 10) = P(X 10)

Consider,

P(X 10) = 1 - P(X9)

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5 0
3 years ago
Convert 180lb to kg and round to nearest 10th
kiruha [24]

81.6 is the correct answer


3 0
3 years ago
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Hey what is the duration of pie times 3?
VladimirAG [237]

Answer:

4x 2(0z +4) Hope this helped

Step-by-step explanation:

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PLSSS HELP What is the formula for the following arithmetic sequence? -2, 3, 8, 13, ... an = -2n + 3 an = -2n + 7 an = 5n + 3 an
san4es73 [151]

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

<u>an = -2n +3</u>

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<u>an = 5n +3</u>

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_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

7 0
3 years ago
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