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adell [148]
4 years ago
5

Distribute x(m + 4).

Mathematics
2 answers:
goldfiish [28.3K]4 years ago
6 0
Mx+4x because you need to multiply m and 4 by x. so m times x is mx and 4 times x is 4x.
Stels [109]4 years ago
3 0

Answer:

<em>mx + 4x</em>

Step-by-step explanation:

x(m + 4)

xx(m + 4)

mx + 4x

Hope this helps! :)

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Step-by-step explanation:

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4 years ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
Bumek [7]

Answer:

0.381 is the probability that the number of drivers will be at most 18.                          

Step-by-step explanation:

We are given the following information in the question:

The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.

  • The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
  • The variance of Poisson distribution is equal to the mean of Poisson distribution.

a) P(number of drivers will be at most 18)

Formula:

P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}

P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) + ... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381

Thus, 0.381 is the probability that the number of drivers will be at most 18.

3 0
4 years ago
You are doing "interval training" around a 400-meter track. To do this, you sprint for 200 meters, jog for 100 meters and then w
Margarita [4]

Using proportions, it is found that it will take you 392 seconds = 6 minutes and 32 seconds to complete 4 laps.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the given rates, the time that is takes to complete one lap of 400 m is given by:

t = 2 x 12(sprint) + 24(half as fast as the sprint, 24 seconds per 100 meters) + 50 = 98 seconds.

Hence for 4 laps, the time is given by:

t = 4 x 98 seconds = 392 seconds = 6 minutes and 32 seconds to complete 4 laps.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
2 years ago
F(x)=(x-2)(x+4) what is the y-intercept and x-intercept
GarryVolchara [31]

Answer:

x-int=-8, y-int=2,-4

Step-by-step explanation:

for the x-int

you set x to 0 then solve the equation to get -8

for the y-int

you set y(or in this case f(x)) to 0 then solve. You solve this by spilting this into 2 linear equations; x-2=0 and x+4=0, then you solve them both to get the two y-intercepts, 2 and -4

6 0
3 years ago
Stephanie and victor each built a rectangular garden .Stephanies garden is three times as long and tree times as wide as victori
MrRa [10]

Answer:multiply by three

Step-by-step explanation:

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