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castortr0y [4]
3 years ago
9

Simplify the expression (70 points)

Mathematics
2 answers:
Fudgin [204]3 years ago
7 0

Solution:

<u>Step-1: Combine like terms.</u>

<u />4x - 7 - 15x + 9

<u />x(4 - 15) + (-7 + 9)

<u>Step-2: Simplify the expression.</u>

<u />x(-11) + (2)

<u />\bold{-11x + 2}

The simplified expression is <u />\bold{-11x + 2}.

spayn [35]3 years ago
3 0

Answer:

-11x +2

Step-by-step explanation:

1. Add:

4x-7 - 15x + 9

4x + 2 - 15x

2. Combine like terms:

4x +2 - 15x

-11x +2

Bye, have a great day/night.

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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!}

a)

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 represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m
Alenkasestr [34]

Answer:

- 2m^4 - 6m^2 + 4m  + 9

Step-by-step explanation:

Given

4m - 2m^4 - 6m^2 + 9

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

- 2m^4 - 6m^2 + 4m  + 9

4 0
3 years ago
Read 2 more answers
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