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elena-14-01-66 [18.8K]
3 years ago
13

How many six digit number can be made from the digits 1, 1, 1, 2, 2, 3?

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0
The permutation of all digits is 6!, but we don't differentiate the same digits, so we divide it by the number of permutations of 1's (3!) and 2's (2!)

\dfrac{6!}{3!2!}=\dfrac{4\cdot5\cdot6}{2}=60

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2. Graph each equation using a table of values.<br> (a)) y = 3x - 1
kiruha [24]

Make an x and y table, and pick any values to plug in for x in the equation.

I will use the numbers from -2 to 2

Now plug in the values you picked for x into the equation to find its y-value

x = -2

y = 3x - 1   Plug in -2 for x

y = 3(-2) - 1

y = -6 - 1

y = -7

x = -1

y = 3x - 1

y = 3(-1) - 1

y = -3 - 1

y = -4                

Do the same for the rest of the numbers, and graph each point and draw a line connecting them.

6 0
3 years ago
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
Ksju [112]

Answer:

86

Step-by-step explanation:

In this question, we are asked to calculate the average mean score for a group of students split into two different emerging groups.

We calculate the total score for each of the groups. This is done by multiplying the average score by the number of students.

Total score of section A is 15 * 80 = 1,200

For section B, total score is 20 * 90 = 1,800

Overall score is thus 1200 + 1800 = 3000

We add the scores together and divide by the total number of students in both sections

Average score is thus 3000/35 = 85.71 which is approximately 86

3 0
3 years ago
the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p
dlinn [17]

Answer:

d=101.4\ \text{pounds}/\text{feet}^3

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

⇒ 6900 grams = 15.21 pounds

Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

Or

d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3

Hence, the density of the material is 101.4\ \text{pounds}/\text{feet}^3

3 0
3 years ago
In ΔQRS, the measure of ∠S=90°, QR = 8.2 feet, and SQ = 4.2 feet. Find the measure of ∠R to the nearest degree.
qwelly [4]

Answer:

R=30.81≈31  

Step-by-step explanation:

6 0
4 years ago
1. Select the TWO statements that describe
VMariaS [17]

the first one is a withdraw of 3.20$ and the second one is 5.1 feet above sea level

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