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4 years ago

Find three points that solve the equation, then plot on graph x+y=-2

Mathematics

1 answer:

mixer [17]4 years ago

3 0

(4,-6) , (5,-7), (18,-20)

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The commute time for people in a city has an exponential distribution with an average of 0.5 hours. What is the probability that

mamaluj [8]

Answer:

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question:

$m = 0.5, \mu = \frac{1}{0.5} = 2$

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4)$

In which

$P(X \leq 1) = 1 - e^{-2} = 0.8647$

$P(X \leq 0.4) = 1 - e^{-2*0.4} = 0.5507$

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4) = 0.8647 - 0.5507 = 0.314$

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

4 0

3 years ago

7. length of a soccer field<br>is it meters or kilometers<br>

Nadya [2.5K]

Answer:

The answer would be Meters.

Step-by-step explanation:

The length of the soccer field is measured in Meters.

There are units to measure everything. Like length is measured in units of millimeter, centimeter, meter, kilometer etc, weight is measured in milligram, gram, kilogram, etc, height is measured in inches, feet, etc.

A soccer field is the ground on which soccer is played. This field is measured in meters. The soccer field has different dimensions. There are standard touch lines, goal lines. Touch lines and goal lines dimensions are different for international play. These lines or dimensions are measured in meters.

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4 years ago

A school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who

Nadusha1986 [10]

$88 adults and $12 children

5 0

3 years ago

Read 2 more answers

Which is greater 1/3 or 1/6

Bingel [31]

The answer to your question is 1/3

8 0