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Gwar [14]
3 years ago
15

A line that includes the points ( 1 , g ) and ( - 3 , - 2 ) has a slope of - 1. What is the value of g ?

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0
Steps:
~~~~~~~~
(g-(-2))/(1-(-3))=-1
(g+2)/(1+3)=-1
(g+2)/4=-1
g+2=-4
g=-6


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businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message
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Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

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Step-by-step explanation:

Let <em>X</em> = number of text messages receive or send in an hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: \lambda=\frac{62.7}{24}= 2.6125.

The probability of a random variable can be computed using the formula:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

              = 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

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Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0
3 years ago
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atroni [7]
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3 0
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inessss [21]

Step-by-step explanation:

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A noted psychic was tested for extrasensory perception. The psychic was presented with 2 0 0 cards face down and asked to determ
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Answer:

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hello,

we were given the sample size, n = 200

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using the large sample Z- statistic, we have

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3 0
3 years ago
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