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2 years ago

{(1, 4), (3, 2), (8, 9), (7, 6), (3, 4)} Is this relation a function or not a function?

Mathematics

1 answer:

olchik [2.2K]2 years ago

5 0

Answer:

No, it's not a function.

Step-by-step explanation:

Because there is two x-intercepts.

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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

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:

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

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

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

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

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

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

3 years ago

Caroline rolls a fair dice 480 times. How many times would Caroline expect to roll a six?

Gnom [1K]

A fair die has 6 sides so a 1/6 chance for each number
So divide 480/6= 80
80 times for each number, 80 for 6

8 0

2 years ago

In 3 stores the same detergent is on special. Which store offers the Best Buy? explain

nikklg [1K]

$12.48/6= $2.08
$14.42/7= $2.06
$10.35/5= $2.07
So you are looking for the best deal.
The best deal would be:
B.) 7 bottles for $10.35
Hope that helps!!
Have a wonderful day!!

7 0

2 years ago

The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?

zheka24 [161]

Answer:

$10^{0.4785+1.468x}=y$

Step-by-step explanation:

So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: $log(y)=0.4785+1.468x$ . And generally a logarithm can be written in the form $log_ba=c$ which can then be rewritten as $b^c=a$ , but since the log has no base, it's assumed to be 10. So in this case you have the equation:

$log_{10}y=0.4785+1.468x$ , which can then be written in exponential form as:

$10^{0.4785+1.468x}=y$

8 0

1 year ago

As a real estate agent kensho earns 4.5% commission on the houses he sells in the first quarter of the year he sold two houses o

Natalka [10]

175000 / 100 = 1750 this step finds 1% of 175000
1750 x 4.5 = 7875 this step finds 4.5% of 175000
Commission for first house $7875
199000 / 100 = 1990 this step finds 1% of 199000
1990 x 4.5 = 8955 this step finds 4.5% of 199000
Commission for second house $8955
$7875 + $8955 = $16,830

Kensho's commission for this quarter is $16,830

4 0

3 years ago