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2 years ago

Kim has $10$ identical lamps and $3$ identical tables. How many ways are there for her to put all the lamps on the tables

Mathematics

1 answer:

VikaD [51]2 years ago

4 0

There are 66 ways Kim can put the 10 identical lamps on the 3 identical tables

<h3>How to determine the number of ways?</h3>

The given parameters are:

Identical lamps, n = 10
Identical tables, r = 3

The combination involving identical objects is calculated using:

(n + r - 1)C(r - 1)

So, we have:

n + r - 1 = 10 + 3 - 1

Evaluate the sum

n + r - 1 = 13 - 1

Evaluate the difference

n + r - 1 = 12

Also, we have:

r - 1 = 3 - 1

Evaluate the difference

r - 1 = 2

So, we have:

(n + r - 1)C(r - 1) = 12C2

Apply the following combination formula:

nCr = n!/((n - r)!r!)

So, we have:

12C2 = 12!/((12 - 2)! * 2!)

Evaluate the difference

12C2 = 12!/(10! * 2!)

Expand the numerator

12C2 = 12 * 11 * 10!/(10! * 2!)

Evaluate the quotient

12C2 = 12 * 11/2!

Expand the denominator

12C2 = 12 * 11/2 * 1

Evaluate the product

12C2 = 132/2

Evaluate the quotient

12C2 = 66

Hence, there are 66 ways Kim can put the 10 identical lamps on the 3 identical tables

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2x° + 14° 60° X= degrees.

pickupchik [31]

2x+14=60(vertical)
2x=46
x=23

4 0

3 years ago

HELP

vodka [1.7K]

So I = Prt

I for interest charge
P for principal ($4,840)
r for rate (6%)
t for time (2 yrs)

So you would then plug the information into the equation.....

I = 4,840*.06*2
I = 580.80

So the answer to your question is $580.80 which is option B

Hope this helps! :)

6 0

4 years ago

The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the sta

galina1969 [7]

Answer:

The value 155 is zero standard deviations from the [population] mean, because $\\ x = \mu$ , and therefore $\\ z = 0$ .

Step-by-step explanation:

The key concept we need to manage here is the z-scores (or standardized values), and we can obtain a z-score using the next formula:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

z is the z-score.
x is the raw score: an observation from the normally distributed data that we want standardize using [1].
$\\ \mu$ is the population mean.
$\\ \sigma$ is the population standard deviation.

Carefully looking at [1], we can interpret it as the distance from the mean of a raw value in standard deviations units. When the z-score is negative indicates that the raw score, x, is below the population mean, $\\ \mu$ . Conversely, a positive z-score is telling us that x is above the population mean. A z-score is also fundamental when determining probabilities using the standard normal distribution.

For example, think about a z-score = 1. In this case, the raw score is, after being standardized using [1], one standard deviation above from the population mean. A z-score = -1 is also one standard deviation from the mean but below it.

These standardized values have always the same probability in the standard normal distribution, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155. How many standard deviations from the mean is the value 155?

From the question, we know that:

x = 155.
$\\ \mu = 155$ .
$\\ \sigma = 50$ .

Having into account all the previous information, we can say that the raw score, x = 155, is zero standard deviations units from the mean. The subject earned a score that equals the population mean. Then, using [1]:

$\\ z = \frac{x - \mu}{\sigma}$

$\\ z = \frac{155 - 155}{50}$

$\\ z = \frac{0}{50}$

$\\ z = 0$

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:

$\\ x = \mu$

Therefore

$\\ z = 0$

So, the value 155 is zero standard deviations from the [population] mean.

5 0

4 years ago

Which is the graph of g(x) = [X + 3]

Black_prince [1.1K]

Answer:

The "top center" one

Step-by-step explanation:

-y=x+3

-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)

m=1 b=3

-Slope: 1 , y-intercept: 3

X | y

-3 | 0

0 | 3

Then you can use a graphing calculator if you'd like !

6 0

3 years ago

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Blababa [14]

Answer:

1/6

Step-by-step explanation:

There are 4 different types of clothing

We want socks

P(socks) = 1/4

Now we have 3 different colors, 2 of which are not blue

P(not blue) =2/3

P(socks that are not blue) = 1/4*2/3 = 2/12 = 1/6

6 0

3 years ago

Read 2 more answers