Write an equation of the lime that passes through (3,7) and is parallel to the line shown

Mathematics

1 answer:

GrogVix [38]3 years ago

4 0

Answer:

y=2x+1

Step-by-step explanation:

see graph

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the venn diagram represents the results of a survey that asked participants whether they would want a rabbit or a snake as a pet

rosijanka [135]

For this case we will complete the table part by part.
We have then:

First row:
Snake = Rabbit = 4
Rabbit = Not Snake = 18
Total = 4 + 18 = 22

Second row:
Not rabbit = Snake = 11
Not rabbit = Not Snake = 26
Total = 11 + 26 = 37

Third row:
Total = 4 + 11 = 15
Total = 18 + 26 = 44
Total = 59

3 0

3 years ago

Read 2 more answers

Messages arrive to a computer server according to a Poisson distribution with a mean rate of 11 per hour. Determine the length o

Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let X = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, λ = 11/ hour.

The random variable X follows a Poisson distribution with parameter λ = 11.

The probability mass function of X is:

$P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....$

It is provided that in t hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of t as follows:

$P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds$