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1 year ago

Please answer with everything needed i appreciate everyones help:)

Mathematics

2 answers:

dusya [7]1 year ago

7 0

Answer:

Hey there....

Step-by-step explanation:5

This is ur answer....

<h2>Expression : -x + 5 </h2>

Working :-

x = Unknown number

x + 5 = Sum of the number and Five

x + 5 - 2x = Previous sum decreased by the the twice of the unknown number.

-x + 5 = combine the terms

•••••••••••••••••••••••••••••••••••••••••••••••••••••••••

Hope it helps!

Brainliest pls!

Have a good day!^^

77julia77 [94]1 year ago

6 0

Step-by-step explanation:

x is the number.

(x + 5) - 2x : the sum of the number and 5 decreased by twice the number.

or simplified without the brackets

x + 5 - 2x = 5 - x

it is not clear if you need the general expression showing both conditions (the first up there), or the then simplified result

5 - x

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3 years ago

A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

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a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067$

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is made

c) What is the probability that seven people make a purchase in the next four minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

$\mu = 4*5 = 20$

We have to find P(X = 7).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005$

0.05% probability that seven people make a purchase in the next four minutes

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