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Dima020 [189]
4 years ago
15

Using the graph f(x)=x^2 as a guide, describe the transformations, and then graph each function.

Mathematics
1 answer:
Margarita [4]4 years ago
6 0
Down refers to the movement along the y axis and left and right refer to movement along the x axis. 20. down 2, no y movement  21. 5 to the left, no y movement  22. to the right 1, no y movement  23. 4 to the left, down 3  24. to the left 2 and up 2  25. 4 to the right and down 9  26. opens up a bit wider, no x or y movement (picture it opening like a flower blooming) 27. opens downward and is very very close to the y axis  28. opened up SUPER wide, like a large shallow bowl.
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Answer:

I need you to be specific

Step-by-step explanation:

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vekshin1

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82 is the answer to the question

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The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a
mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let <em>X</em> = the waiting time for the bus at the parking lot.

The random variable <em>X</em> is uniformly distributed with parameters <em>a</em> = 0 to <em>b</em> = 15.

The probability density function of <em>X</em> is given as follows:

f_{X}(x)=\frac{1}{b-a};\ a

(a)

The standard deviation of a Uniformly distributed random variable is given by:

SD=\sqrt{\frac{(b-a)^{2}}{12}}

Compute the standard deviation of the random variable <em>X</em> as follows:

SD=\sqrt{\frac{(b-a)^{2}}{12}}

      =\sqrt{\frac{(15-0)^{2}}{12}}

      =\sqrt{\frac{225}{12}}

      =\sqrt{18.75}\\=4.33

Thus, the standard deviation of your waiting time is 4.33 minutes.

(b)

The value representing 2 standard deviations is:

X=2\times SD=2\times4.33=8.66

Compute the value of P (X > 8.66) as follows:

P(X>8.66)=\int\limits^{10}_{8.66} {\frac{1}{15-0}}\, dx\\

                    =\frac{1}{15}\times \int\limits^{10}_{8.66} {1}\, dx\\

                    =\frac{1}{15}\times |x|^{15}_{8.66}\\

                    =\frac{15-8.66}{15}\\

                    =0.4227

Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.

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3 years ago
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MArishka [77]

Answer:

2. RS = ST, Reason: Midpoint of a line (definition)

4. RS = XY, Reason: Transitive Property of congruence (if a=b, and b=c, a=c)

Step-by-step explanation:

A Midpoint divides a line exactly in half, due to the definition of a Midpoint. So, RS = ST, since they measure the same distance from the Midpoint. RS=XY because of the Transitive Property of Congruence. If ST = XY, and RS = ST, then RS = XY.

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4 years ago
The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are t
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Step-by-step explanation:

let the ration be c

3x and 4x

Now

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