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4 years ago

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

Mathematics

1 answer:

liubo4ka [24]4 years ago

7 0

Answer:

Step-by-step explanation:

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

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Question 19 makes no sense

gavmur [86]

Think: To write the equation of a line in slope-intercept form y=mx+b, you must have the slope (m) and the y-intercept (b).

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:
-9-(-6)
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.

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3 years ago

What is the volume of the cone? Use π ≈ 3.14.

BARSIC [14]

Answer:

12.56 cubic units on edge

Step-by-step explanation:

6 0

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 )
the magnitude of vector projection of u onto v =
dot product of u and v over the magnitude of v = (u . v )/ ll v ll

ll v ll = √(-1² + 2²) = √5

u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8
∴ (u . v )/ ll v ll = -8/√5
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [v/ ll v ll]

 = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )

The other orthogonal component = u - ( 8/5 , -16/5 )
= (-8 , -8 ) - ( 8/5 , -16/5 ) = (-48/5 , -24/5 )

So, u as a sum of two orthogonal vectors will be

u = ( 8/5 , -16/5 ) + (-48/5 , -24/5 )

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).

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

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

$P(X = 4) = 0.0952$

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