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Anna35 [415]
3 years ago
6

In the following​ exercise, does the problem involve permutations or​ combinations? Explain your answer. One hundred people purc

hase lottery tickets. Three winning tickets will be selected at random. If first prize is​ $100, second prize is​ $50, and third prize is​ $25, in how many different ways can the prizes be​ awarded?
Mathematics
1 answer:
Blizzard [7]3 years ago
0 0

Answer: Permutation is involved , since order of prizes matters.

The number of different ways the prizes can be​ awarded =95060

Step-by-step explanation:

Given : Total number of people purchase lottery tickets =100

The number of prizes = 3

Since each prize can be claimed by only one person.

So order matters here, there for we use permutations .

The number of permutations of n objects taken m at a time is given by :-

^nP_m=\dfrac{n!}{(n-m)!}

Then, the number of different ways the prizes can be​ awarded :-

^{100}P_{3}=\dfrac{100!}{(100-3)!}=\dfrac{100!}{97!}\\\\=100\times98\times97=950600

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A right triangle has a leg b of length 7 and a hypotenuse of length 11 what is the length of the other leg a?
N76 [4]
A^2 + b^2 = c^2
a^2 + 7^2 = 11^2
49= 121
121 - 49 = 72

Square root(72) = 8.49
or you can just keep the square root symbol with 72 under it
6 0
4 years ago
What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? A. B. C. D. y = 3x + 7
stepan [7]

Answer:

y = 1/3 x + 7

Step-by-step explanation:

Given; the line is passing through, (-6,5) and the slope is 1/3

We can get its equation;

We would take, a point (x,y) and the given point (-6,5)

Therefore; Since slope = Δy/Δx

Then;

(5-y)/ (-6-x) = 1/3

3(5-y) = -6 -x

15 - 3y = -6 - x

we get;

3y = 6 + x + 15

3y = x + 21

Therefore;

<u>y = 1/3 x + 7</u>

3 0
3 years ago
Read 2 more answers
Solve the following:<br> A) 4x-1/2=x+7<br> B) 3x+2=2x+13/3<br> C) 2x-7/4=3+x/3
s2008m [1.1K]

Answer:

a. 2.5  

b. 2.333

c. 2.85

Step-by-step explanation:

A) 1. subtract -x on both sides              2. to get 3x-1/2=7  

3. Add 1/2 on both sides                    4. to get 3x=7.5    

5. divide 3 on both sides                   6. To get... x=2.5

B)1. Same process.                               2. x+2=13/3        

3. x=13/3-2                                         4. x= 2.33(repeating)

C) 1. same process.                           2. 2x-x/3=3+7/4

3. 2x-x/3=4.75                                  4. Isolate -x/3  

5.-x/3=4.75-2x                                    6. multiply both sides by 3          

7. -x=14.25-6x                                      8. 5x=14.25

9. x= 2.85

* remember to distribute the 3 to each variable.

4 0
3 years ago
How many solutins<br> 6x + 35 +9x =15x(x+4) -25
Sveta_85 [38]
Hi again............. I am glad to help you again.

6x + 35 + 9x = 15x(x+4) -25
6x + 35 + 9x = 15x² + 60x - 25
15x + 35 = 15x² + 60x - 25
Now, we gonna put all the common terms together
15x - 60x + 35 + 25 - 15x² =
-45x + 60 - 15x² = 0
Now, we need to factorize
-15(x-1)(x+4)=0
Set factors equal to 0
x -1 = 0 or x + 4 = 0
x = 1 or x = 4


I hope that's help ! 

5 0
3 years ago
Write an equation of a function that is not linear.
Bad White [126]
Don’t go into that link
7 0
3 years ago
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