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2 years ago

How to solve this?i can’t understand so can you explain

Mathematics

1 answer:

alexgriva [62]2 years ago

7 0

Answer:

a. Equation: 0.8x+30 = 1.2x+14

b. Solution: 40 Stickers

Step-by-step explanation:

"per sticker" means there will be a variable which will be how many stickers he buys next to the price and the fee is the amount of money that will be added onto the fee price.

Company A equation: 0.8x+30

Company B equation: 1.2x+14

You will set these equal to each other to find the number of stickers which cost the same for both companies, then solve for x by doing inverse operations.

0.8x+30 = 1.2x+14 [subtract 14 from both sides]

0.8x+16 = 1.2x [subtract 0.8x from both sides]

16 = 0.4x [divide 0.4 from both sides]

x = 40 [The solution is 40 stickers]

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$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

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Step-by-step explanation:

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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".

Solution to the problem

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

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

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