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3 years ago

Y-2=6x-4 in standard form

Mathematics

1 answer:

JulijaS [17]3 years ago

8 0

Answer:

6x-y=2

Step-by-step explanation:

y-2=6x-4

Since x is on the right side of the equation, switch the sides so it is on the left side of the

6x-4=y-2

Move y to the left side of the equation because it contains a variable

6x-4-y=-2

Move all terms not containing a variable to the right side of the equation

6x-y=2

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Multiple-choice questions each have four possible answers (a comma b comma c comma d ), one of which is correct. Assume that y

Ray Of Light [21]

Answer:

0.140625

Step-by-step explanation:

Given that multiple-choice questions each have four possible answers (a comma b comma c comma d ), one of which is correct. Assume that you guess the answers to three such questions.

Each question is independent of the other with constant probability

p = Prob for correct guess = 1/4 = 0.25

q = prob for wrong guess = 1-p = 0.75

Hence

$P(CWW)\\= P(C)*P(W)*P(W)$ , since each question is independent of the other

= $0.25*0.75*0.75\\= 0.140625$

8 0

3 years ago

The number of people arriving for treatment at an emergency room can be modeled by a Poisson Distribution with a rate parameter

AlekseyPX

Answer:

a) 0.052 = 5.2% probability that exactly three arrivals occur during a particular hour

b) 0.971 = 97.1% probability that at least three people arrive during a particular hour

c) 5.25 people are expected to arrive during a 45-min period

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 interval.

Poisson Distribution with a rate parameter of seven per hour.

This means that $\mu = 7$

(a) What is the probability that exactly three arrivals occur during a particular hour?

This is P(X = 3).

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

$P(X = 3) = \frac{e^{-7}*7^{3}}{(3)!} = 0.052$

0.052 = 5.2% probability that exactly three arrivals occur during a particular hour.

(b) What is the probability that at least three people arrive during a particular hour? (Round your answer to three decimal places.)

Either less than three people arrive, or at least three does. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3)$ , which is

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X \geq 3) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = \frac{e^{-7}*7^{0}}{(0)!} = 0.001$

$P(X = 1) = \frac{e^{-7}*7^{1}}{(1)!} = 0.006$

$P(X = 2) = \frac{e^{-7}*7^{2}}{(2)!} = 0.022$

$P(X \geq 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.001 + 0.006 + 0.022 + 0.029$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.029 = 0.971$

0.971 = 97.1% probability that at least three people arrive during a particular hour

(c) How many people do you expect to arrive during a 45-min period?

During an hour(60 minutes), 7 people are expected to arrive. So, using proportions:

$\frac{45*7}{60} = \frac{3*7}{4} = \frac{21}{4} = 5.25$

5.25 people are expected to arrive during a 45-min period

5 0

3 years ago

How can we use the graph of a logarithmic function to verify the domain of a function?PLEASE HELP

guajiro [1.7K]

The function y = log 2 x has the domain of set of positive real numbers and the range of set of real numbers. Remember that since the logarithmic function is the inverse of the exponential function, the domain of logarithmic function is the range of exponential function, and vice versa.

3 0

3 years ago

Is the set closed or not closed under operation? Negative Integers under multiplication

Nutka1998 [239]

The set is not closed

Example

-4 * -2 = 8

8 is not a negative integer

8 0

3 years ago

Massimo spent $90. riding the bus. Each bus ride cost $2.50. Write and solve an equation to determine how many times Massimo rod

Varvara68 [4.7K]

Answer:

$90 ÷ $2.50 = 36

Massimo rode the bus 36 times.

Please mark brainliest. Have a great day!

5 0

3 years ago