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Lerok [7]
4 years ago
13

The perimeter of a rectangle is 62cm. Find it’s length.

Mathematics
1 answer:
liubo4ka [24]4 years ago
7 0

Answer:

A.

Step-by-step explanation:

All of the other values multiplied by two would go over 62.

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g(0)= -6 tells us that the y-intercept is (0, -6).  Thus, b= -6.

(0,-6) and (15,-9) are points on the line.  Find the slope of the line.  It is:
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m = ------------- = -3/15 = -1/5
          15-0

Thus, the equation of the line in question is y=(-1/5)x - 6.

Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.
5 0
3 years ago
What is the volume of the cone? Use π ≈ 3.14.
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12.56 cubic units on edge

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3 years ago
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v
blagie [28]
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
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<span>ll v ll = √(-1² + 2²) = √5
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u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8 
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The other orthogonal component = u - ( 8/5 , -16/5 )
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</span>
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u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>










3 0
3 years ago
Read 2 more answers
What is the correct way to write a comparison of five-eighths and one-eighth?
Stella [2.4K]
Do you want an answer like this?
5/8>1/8
5 0
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).

So

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
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