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2 years ago

Decide if the expressions in each pair are equivalent. Explain how you know.

Mathematics

2 answers:

lilavasa [31]2 years ago

7 0

Answer:

x + x + x + x is the same as 4x

because its "x four times"

5x and x+5 are not the same because x+5 in not "x five times"

5x is 5 multiplied by x.

x + 5 is 5 added to x.

Lera25 [3.4K]2 years ago

5 0

Answer:

1) 4x and x+x+x+x are equal

2) 5x and x + 5 are not equal

Step-by-step explanation:

1) 4x is essentially 4 x , which is x + x + x + x

2) 5x is equal to 5 x , not x + 5

Hope this helps. If you have any questions, let me know.

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Reflect across the line y=x. Find the coordinates of the reflected points

sweet-ann [11.9K]

E= 3,-3
I = 4,-3
X = 4,-1

7 0

3 years ago

Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably model the number of bags lost each

julia-pushkina [17]

Answer:

a) The probability that the airline will lose no bags next monday is 0.1108

b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227

c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2

Step-by-step explanation:

The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

$P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}$

$P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108$

The probability that the airline will lose no bags next monday is 0.1108.

b) Note that $P(X \in \{0,1,2\} = P(X=0) + P(X=1) + P(X=2)$ . And

$P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227$

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.

c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.

6 0

3 years ago

Which is closest to the volume of a cylinder with a height of 11 inches and

Veseljchak [2.6K]

Answer:

The closest to the volume of cylinder is 63 in.³.

Step-by-step explanation:

Given:

Cylinder with a height of 11 inches and a circumference of 8 1/2 inches.

Now, to find the volume.

As circumference is given we get the radius by putting formula:

Circumference = 8 1/2 inches = 17/2 inches.