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Cerrena [4.2K]
3 years ago
12

Which of the following represents a combination? Select all that apply.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

Combinations:

A committee consisting of three members with the same role

Selecting two sandwiches from a menu of 10

Step-by-step explanation:

A combination is a selection of items from a collection, such that the order of selection does not matter.

A permutation is a selection of items from a collection, such that the order of selection matters.

A. The PIN for a bank or credit card - order matters → permutation

B. A committee consisting of three members with the same role - order does not matter → combination

C. A committee consisting of a president, vice president, and secretary - order matters → permutation

D. Final standings in a professional sports league - order matters → permutation

E. Selecting two sandwiches from a menu of 10 - order does not matter → combination

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What is meant by a system of linear equations?
photoshop1234 [79]
It’s a grouping of linear(straight line)equations that deal with the same variables. Hope that helped?
7 0
2 years ago
Please help me with this!!
bearhunter [10]

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

a^{2} +b^{2} =c^{2}

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

4^{2} +7^{2} =c^{2} \\

Now evaluate them to get c^2

16+49=65

To get c, take the square root of 65

\sqrt{65}  = 8.06

6 0
3 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
PLEASE HELP 7TH GRADE MATH!!!!
Gnoma [55]

Answer:

Step-by-step explanation:

3. the answer should be -68

5.-8.97

8 0
3 years ago
Please help! 20 points!!!
KonstantinChe [14]

Answer:

SOLUTION STEPS

6  

8

5

​

+−6  

3

1

​

 

Multiply 6 and 8 to get 48.

8

48+5

​

−  

3

6×3+1

​

 

Add 48 and 5 to get 53.

8

53

​

−  

3

6×3+1

​

 

Multiply 6 and 3 to get 18.

8

53

​

−  

3

18+1

​

 

Add 18 and 1 to get 19.

8

53

​

−  

3

19

​

 

Least common multiple of 8 and 3 is 24. Convert  

8

53

​

 and  

3

19

​

 to fractions with denominator 24.

24

159

​

−  

24

152

​

 

Since  

24

159

​

 and  

24

152

​

 have the same denominator, subtract them by subtracting their numerators.

24

159−152

​

 

Subtract 152 from 159 to get 7.

24

7

​

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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