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Rzqust [24]
2 years ago
14

The baggage limit for an airplane is set at 100 pounds per passenger. thus, for an airplane with 200 passenger seats there would

be a limit of 20,000 pounds. the weight of the baggage of an individual passenger is a random variable with a mean of 95 pounds and a standard deviation of 35 pounds. if all 200 seats are sold for a particular flight, what is the probability that the total weight of the passengers' baggage will exceed the 20,000-pound limit?
Mathematics
1 answer:
MakcuM [25]2 years ago
8 0

At a mean of 95 pounds per passenger and standard deviation of 35 pounds, multiplying this with the total number of passengers = 200, results in:

absolute mean = 95 * 200 = 19,000

absolute std dev = 35 * 200 = 7,000

 

Calculating for the z score:

z = (x – u) / s

where x is sample value = more than 20,000; u is the sample mean = 19,000; s is std dev = 7,000

 

z = (20,000 – 19,000) / 7,000

z = 0.143

 

From the distribution tables,

P (z = 0.14) = 0.5557

 

<span>Therefore a 55.57% chance that it will be more than 20,000 pound limit</span>

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We are given that we have $25 to pay for 6 fishing lures.

We can make an equality for this as follows:

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So we will use unitary method to find price of 6 fishing lures.

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Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.

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x\leq\frac{25}{6}

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Using synthetic division, what is the factored form of this polynomial?x^4+6x^3+33x^2+150x+200
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In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.

A figure has been drawn to define the vertices and intersections.

The given lengths are also noted.


From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.


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From triangle A F G, we use Pythagoras theorem to find

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