For the limit

The table shows the steps for solving the given inequality for x. 7x+16<−5(4−5x)7x+16<−5(4−5x) Select the reason for each

Hoochie [10]

7x +16 < -5(4 - 5x)....given
7x + 16 < -20 + 25x....distributive property
16 < -20 + 18x ... subtraction property
16 + 20 < 18x.....addition property
36 < 18x
36/18 < x.....division property
2 < x

7 0

3 years ago

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Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc

Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

7 0

3 years ago

What term denotes the time for one cycle of a periodic process?

ziro4ka [17]

Wavelength denotes the time for one cycle of a periodic process

3 0

4 years ago

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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

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