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3 years ago

What is the difference in the rule of reflection for a point reflected across y=x and a point reflected across y=-x

Mathematics

1 answer:

rjkz [21]3 years ago

5 0

Answer:

The difference in the rule of reflection for the point reflected across y = x is, the rule would be (x, y) ---> (y, x). So the x and y values would be switched around. On the other hand, the rule of reflection for the point reflected across y = -x is, the rule would be, (x, y) ---> (-y, -x). So the values would switch places and would have the opposite sign (If the number was positive, it would be a negative, and if it was a negative number, it would turn into a positive.)

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The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

7 0

3 years ago

You are told to you will have to wait 5 hours in a line with a group of other people. Determine it. 1.You know the number of min

gulaghasi [49]

Answer:

$for\ five\ hours = 300\ min$

Step-by-step explanation:

Given:

Waiting time = 5 hours.

We need to find the number of minutes for 5 hours.

Solution:

We know that 60 minutes for each hour, so one hour is equal to 60 minutes.

For one hour = $60\ minutes$

For five hours = $5\times 60$

$for\ five\ hours = 300\ min$

Therefore, you will have to wait 300 minutes in a line.

3 0

3 years ago

HELP PLS EASY POINTS (probably)

DIA [1.3K]

Answer:

Step-by-step explanation:

3 0

3 years ago

The variance can never bea.zerob.larger than the standard deviationc.negatived.smaller than the standard deviation

MrRa [10]

Answer:

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

Step-by-step explanation:

We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:

$\bar x = \frac{\sum_{i=1}^n X_i}{n}$

And the population mean is given by:

$\mu= \frac{\sum_{i=1}^n X_i}{N}$

The population variance is defined by:

$\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}$

And the sample variance is defined as:

$s^2= \frac{\sum_{i=1}^n (X_i -\bar x)}{n-1}$

Now if we analyze the options we have this:

a.zero

False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.

b.larger than the standard deviation

False, if the population standard deviation is $\sigma=2$ then the variance would be $\sigma^2 = 4$ and as we can see is higher than the standard deviation

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

d.smaller than the standard deviation

False, if the population standard deviation is $\sigma=0.1$ then the variance would be $\sigma^2 = 0.01$ and as we can see is lower than the standard deviation

7 0

3 years ago

Does 14 and 10 have the same factor

iVinArrow [24]

Answer:

Yes

Step-by-step explanation:greatest common factor (GCF) of 10 and 14 is 2. We will now calculate the prime factors of 10 and 14, then find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 14.

4 0

3 years ago