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Anit [1.1K]
2 years ago
11

( ax+ by ) ( cx + dy)

Mathematics
1 answer:
Cloud [144]2 years ago
4 0

The value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected is 2bc

<h3>Factoring expressions</h3>

Given the expression below;

( ax+ by ) ( cx + dy)

Expand to have:

<u>( ax+ by ) ( cx + dy) =</u> acx² + adxy + bcxy + bdy²

If ad=bc, the expression becomes;

( ax+ by ) ( cx + dy) = acx² + 2bcxy + bdy²

Substitute the value of ac and bd to have;

( ax+ by ) ( cx + dy)= 18x²  + 2bcxy + 50y²

Hence the value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected is 2bc

Learn more on factoring here: brainly.com/question/24734894

#SPJ1

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Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When
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Answer:

P(C/R) = 0.4298

Step-by-step explanation:

Missing word <em>"arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places )"</em>

<em />

Solution:

Given that P(A) = 75% = 0.75

P(B) = 20% = 0.20

P(C) = 0.05

The chance of drawing a Red marble fro,

P(R/A) = 2% = 0.02

P(R/B) = 25% = 0.25

P(R/C) = 98% = 0.98

If he select Box A than the probability of Red marble drawing

= P(A) * P(R/A)

= 0.75 * 0.02

= 0.015

If he select Box  B than the probability of Red marble drawing

= P(B) * P(R/B)

= 0.20 * 0.25

= 0.5

If he select Box C than the probability of Red marble drawing

= P(C) * P(R/C)

= 0.98 * 0.05

= 0.049

So total probability of drawing Red marble is

P(R) = 0.015 + 0.050 + 0.049

P(R) = 0.114

If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is

P(C/R) = {P(C) * P(R/C)} / P(R)

P(C/R) = 0.049 / 0.114

P(C/R) = 0.429824

P(C/R) = 0.4298

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A new runner has decided to purchase a new pair of running shoes. He has narrowed his choices to two brands, each of which would
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Answer:

Paired difference t test

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The difference between the two readings are taken for each runner and used to perform a hypothesis test:

t = μd/ (s/√n)

s = sample standard deviation ; n = sample size ; μd = mean difference

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How long is 63 months in years?
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