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3 years ago

I NEED HELP ASAP I DONT UNDERSTAND THIS!!

Mathematics

1 answer:

zheka24 [161]3 years ago

3 0

Let the cost of the hair dryer equal x.

The net cost plus a 40% markup equals 42, set up an equation and solve forex.

1.4x = 42

Divide both sides by 1.4

X = 42 / 1.4

X = 30

The net cost was £30

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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]

Answer:

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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3 years ago

Distance between (2,0) (8,6)

AlladinOne [14]

Answer:

Exact Form:

6/2

Decimal Form:

8.48528137

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2 years ago

Find the area of the regular polygon. Round to the nearest tenth. 16 ft

Sladkaya [172]

Given:

Given that the side of the regular polygon is 16 feet.

We need to determine the area of the polygon.

Area of the polygon:

The area of the polygon can be determined using the formula,

$Area =\frac{s^2 n}{4 \ tan \frac{180}{n}}$

where n is the number of sides,

s is the side length.

Substituting n = 3 and s = 16, we get;

$Area =\frac{16^2 (3)}{4 \ tan \frac{180}{3}}$

Simplifying, we get;

$Area =\frac{(256) (3)}{4 \ tan \ 60}$

$Area = \frac{768}{6.928}$

Dividing, we get;

$Area = 110.85$

Rounding off to the nearest tenth, we have;

$Area = 110.9$

Thus, the area of the regular polygon is 110.9 square units.

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