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3 years ago

Graph 2: Please help me sketch this graph.

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Answer: see answers below

<u>Step-by-step explanation:</u>

y = A cos (Bx - C) + D

A is the amplitude
Period = 2π/B → B = 2π/Period
Phase shift = C/B
D is the vertical shift (aka midline)

Given: A = 5/2, B = π/6, C = 0, D = 13/2

1) midline (D) ± amplitude (A) = Max & Min

Max: 13/2 + 5/2 = 18/2 = 9

Min: 13/2 - 5/2 = 8/2 = 4

2) Midline (D) is given as 13/2 = 6.5

3) Period = 2π/B = 2π/(π/6) = 12

4) Formula is given as: y = 5/2 cos (π/6)x + 13/2

5) change the coordinates of y = cos (x) and as follows:

x-value: add C then divide by B
y-value: multiply by A then add D

Note that A = 5/2, B = π/6, C = 0, D = 13/2

$\begin{array}{c|ccc|cl}\underline{\qquad x\qquad}&\underline{\qquad y\qquad}&&\underline{\quad (x+C)/ B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&9&maximum\\\pi/2&0&&3&6.5&midline\\\pi&-1&&6&4&minimum\\3\pi/2&0&&9&6.5&midline\\2\pi&1&&12&9&maximum\\\end{array}$

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Benecio worked 40 hours at his two jobs last week. He earned $20 per

miv72 [106K]

Answer:

25 hours on his week job and 15 hours on his weekend job

Steps

20 times 25 is 500 for pay

18 times 15 is 270 for pay

Just add them

500 plus 270 equals 770 for pay

And 15 plus 25 is 40 total in hours

7 0

3 years ago

A tree is 4 meters tall. About how tall is the tree in feet (ft)? (1 meter is approximately 39 inches.) A) 156 ft B) 15.5 ft C)

tiny-mole [99]

12in=1ft
39/12=3.25ft

1m=3.25ft
times 4 both sides
4m=13ft

12ft

C

8 0

3 years ago

Read 2 more answers

A line has a slope of 9. One of the points on the line is (-2, p). Another point on the line is (2, 2p+1). Determine the value o

igomit [66]

As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1. Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).

p+1

Thus, the slope of this line is m = rise / run = -------- = 9

Then p + 1 = 36, and p = 35.

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3 years ago

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9 per year. a. Find t

VLD [36.1K]

Answer:

a) 9.52% probability that, in a year, there will be 4 hurricanes.

b) 4.284 years are expected to have 4 hurricanes.

c) The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

6.9 per year.

This means that $\mu = 6.9$

a. Find the probability that, in a year, there will be 4 hurricanes.

This is P(X = 4).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-6.9}*(6.9)^{4}}{(4)!}$

$P(X = 4) = 0.0952$

9.52% probability that, in a year, there will be 4 hurricanes.

b. In a 45-year period, how many years are expected to have 4 hurricanes?

For each year, the probability is 0.0952.

Multiplying by 45

45*0.0952 = 4.284.

4.284 years are expected to have 4 hurricanes.

c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 4 hurricanes? Does the Poisson distribution work well here?

The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

5 0

3 years ago

PLEASE HELP!

Studentka2010 [4]

X > 50/-5
X>-10
The answer is B. :)

7 0

3 years ago