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1 year ago

What single percentage change is equivalent to a 17% increase followed by a 8% decrease?

Mathematics

1 answer:

Ksju [112]1 year ago

8 0

Answer:

9% increase

Step-by-step explanation:

Given :

17% increase :

Let initial percentage = 100%

17% increase means :

100% + 17% = 117%

Followed by 8% decrease :

117% - 8% = 109%

Hence, the final percentage = 109%

To represent the total change as a single percentage change :

Change = final percentage - Initial percentage

Change = 109% - 100%

Change = 9%

This is a 9% increase

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Answer:

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2 years ago

Read 2 more answers

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Answer:

a) For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

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c) $P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

d) $P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n p)$