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netineya [11]
3 years ago
15

There are 2 black balls, one red ball and one green ball, identical in shape and size. How many different linear arrangements ca

n be generated by arranging these balls?
Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer: The number of different linear arrangements can be generated by arranging these balls is 12.

Step-by-step explanation:

The number of ways to arrange n things in a line where a things are like and b  things are like is \dfrac{n!}{a!\ b!\ ....}

Given : There are 2 black balls, one red ball and one green ball, identical in shape and size.

Total balls = 2+1+1=4

Here 2 black balls are alike.

So , the number of different linear arrangements can be generated by arranging these balls would be\dfrac{4!}{2!}=\dfrac{4\times3\times2!}{2!}=12

Hence, the number of different linear arrangements can be generated by arranging these balls is 12.

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The difference of two squares. The number which, when multiplied together three times yields the original number.
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3 years ago
Try the numbers 22, 23, 24, 25 in the equation 4/3 = 32/d to test whether any of them is a solution. a. 23 is a solution. c. 24
S_A_V [24]

Answer:

c. 24 is a solution

Step-by-step explanation:

Given equation:

\frac{4}{3}=\frac{32}{d}

To test the numbers 22, 23, 24, 25 for the solution.

Solution:

In order to test the given number for the solution, we will plugin each number in the unknown variable d and see if it satisfies the equation.

1) d=22

\frac{4}{3}=\frac{32}{22}

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.

\frac{4}{3}=\frac{32\div 2}{22\div 2}

\frac{4}{3}=\frac{16}{11}

The above statement can never be true and hence 22 is not a solution.

2) d=23

\frac{4}{3}=\frac{32}{23}

The fractions can no further be reduced.

The statement can never be true and hence 23 is not a solution.

3) d=24

\frac{4}{3}=\frac{32}{24}

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.

\frac{4}{3}=\frac{32\div 8}{24\div 8}

\frac{4}{3}=\frac{4}{3}

The above statement is always true and hence 24 is a solution.

4) d=25

\frac{4}{3}=\frac{32}{25}

The fractions can no further be reduced.

The statement can never be true and hence 25 is not a solution.

4 0
3 years ago
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop
atroni [7]

Answer:

y = x - 4

Step-by-step explanation:

y - 4 = x - 8

y = x - 4

4 0
3 years ago
Read 2 more answers
In the United States, there are 59 different species of mammals that are endangered,
jolli1 [7]

Given Information:

Number of endangered mammal species = 59

Number of endangered bird species = 75

Number of endangered fish species = 68

Required Information:

Probability of either a  mammal or a fish = ?

Answer:

P(mammal or fish) = 127/202 = 0.6287 = 62.87%

Step-by-step explanation:

We want to randomly select one animal and find out the probability of either a mammal or a fish.

The total number of endangered species of animals is given by

Total animals = mammal species + bird species + fish species

Total animals = 59 + 75 + 68  = 202

The probability of selecting a endangered mammal is

P(mammal) = no. of endangered mammal/total no. of endangered animals

P(mammal) = 59/202

The probability of selecting a endangered fish is

P(fish) = no. of endangered fish/total no. of endangered animals

P(fish) = 68/202

Finally, the probability of selecting either a mammal or a fish is

P(mammal or fish) = 59/202 + 68/202

P(mammal or fish) = 127/202

P(mammal or fish) = 0.6287

P(mammal or fish) = 62.87%

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3 years ago
2. Katryn swims at a rate of 50 meters in 40 seconds. At this rate, how many meters
Sunny_sXe [5.5K]

Answer:

D.) 75 meters

Step-by-step explanation:

1 minute is 60 seconds

So, you divide 60 divided by 40=1.5

1.5 times 50=75

75 meters

D.)

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a nice day/night/afternoon!!!

4 0
3 years ago
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