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noname [10]
3 years ago
8

Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is

used to select a single number between 1 and 28, inclusively
A fair decision is made using this process

How many people could be in this group?

A. 3
B. 6
C. 7
D. 12
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer:

Option C is the correct answer.

Step-by-step explanation:

Since a random number generator is used to select a single number between 1 and 28, inclusively;

For a fair decision to be made during the process, the number of persons in the set must be a divisor of 28.

Let's list the divisors of 28:

The divisors of 28 are {1, 2, 4, 7, 14, 28}

The only option that contains one of the divisors is option C which is 7.

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Pls help<br><br> Given: △ABC, CM⊥ AB, BC = 5, AB = 7<br> CA = 4 sqrt(2)<br> Find: CM
babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

6 0
2 years ago
Find m&lt;1 and m&lt;2. Justify your answer.
Natalija [7]

Answer:

M<1 80 by the corresponding angles postulate

Step-by-step explanation:

4 0
3 years ago
Help me with this math question please
Maksim231197 [3]

the solution is where the line cross on the y axis, which is on 0

 so y = 0

6 0
3 years ago
What is <br> Sinx =125/500
Anastasy [175]

Answer:

14.4775121859299

Step-by-step explanation:

sinx = 125/500

sinx = 1/4

or, x = arcsin(1/4)

5 0
3 years ago
4. Which expression is equivalent to sin(50)º?
jasenka [17]

Answer:

cos(400)

Step-by-step explanation:

Useful things:

Cofunction identity: sin(x)=cos(90-x)

Sine and cosine have period of 360 degrees.

So sin(50)=cos(40) by cofunction identity.

Since cosine has period of 360 degrees then cos(40)=cos(360+40).

That simplifies to cos(400).

3 0
2 years ago
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