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____ [38]
3 years ago
8

Which are the x and y intercepts for the given equation, ( 4x = y + 8 )

Mathematics
1 answer:
Serga [27]3 years ago
4 0

x intercepts means y =0

y intercepts means x =0

x intercepts =

0 = y+8

-8 = y

y intercepts =

4x = 0 + 8

x = 2

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Someone please help me
Anika [276]

Answer:

A

Step-by-step explanation:

Given

a = \frac{1}{x} - \frac{1}{y} = \frac{y-x}{xy} ← as a single fraction

Thus

\frac{1}{a} = \frac{1}{\frac{y-x}{xy} } = \frac{xy}{y-x} → A

6 0
3 years ago
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

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.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

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

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
3 years ago
the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank, the gauge read 3/4 full. how many m
nexus9112 [7]
Let x be the capacity of the tank then
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Answer:

It would be the second option

Step-by-step explanation:

z:28 is the ratio of the shorter triangle's side to the larger triangle's side, so is 27:45.

5 0
2 years ago
Which of the following is a possible unit for the volume of a cone?
mash [69]

Possible unit is m³

<u>Step-by-step explanation:</u>

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