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o-na [289]
3 years ago
13

In the Cash Now lottery game there are 8 finalists who submitted entry tickets on time. From these 8 tickets, three grand prize

winners will be drawn. The first prize is one million dollars, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.)
Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

The number of ways is  \left n} \atop {}} \right. P_r  =  336

Step-by-step explanation:

From the question we are told that

   The number of tickets are   n = 8

    The number of finalist are r   =3

Generally the number of way by which this winners can be drawn and arrange in the order of   1^{st} , \  2nd ,  \  3rd    is mathematically represented as

             \left n} \atop {}} \right. P_r  =  \frac{n\ !}{(n-r) !}

substituting values

             \left n} \atop {}} \right. P_r  =  \frac{ 8!}{(8-3) !}

           \left n} \atop {}} \right. P_r  =  \frac{ 8* 7*6*5*4*3*2*1}{ 5*4*3*2*1}

           \left n} \atop {}} \right. P_r  =  336

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Which triangle congruency theorem can b used to prove the triangles are congruent??
Brums [2.3K]

Answer:

by AAS(angle angle side)

Step-by-step explanation:

here,two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

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3 years ago
PLS ANSWER it CORRECTLY for 25 points<br>​
olchik [2.2K]

Answer:

1. 0

2. 18 th term

3. 209

4. 670

Step-by-step explanation:

1. n^th term  of an A.P = a + (n - 1)d , where n is the term

6 = a + (5 - 1)d ... (i)

5 = a + (6 - 1)d ... (ii)

a + 4d = 6 ... (i)

a + 5d = 5 ... (ii)

Subtracting (ii) - (i) we get;

0 + d = -1 , d = -1

So the common difference (d) = -1

And first term (a);

a + 4(-1) = 6

a = 6 + 4 = 10

11^th term will be;

n_{11} = 10 + -1(11 - 1) = 10 - 10 = 0

2. The A.P is;

1, 4, 7, 10, 14, ....

The first term (a) = 1

The common difference (d) = 3

n_{th} = a + (n - 1)d

52 = 1 + (n - 1)3

3n - 3 + 1 = 52

3n = 52 + 2 = 54

n = 54/3 = 18 th term

3. The A.P is;

4, 9, 14, ... , 254

The first term (a) = 4

The common difference (d) = 5

n_{th} = a + (n - 1)d

To find what term number 254 is;

254 = 4 + (n - 1)5

5n - 5 + 4 = 254

5n = 254 + 1 = 255

n = 255/5 = 51

The 10^th term from the end of the AP is the 42^nd term.

n_{42} =  4 + (42 - 1)5 = 4 + 205 = 209

4. The A.P is;

5, 8, 11, 14, ...

The first term (a) = 5

The common difference (d) = 3

Sum of n terms in an A.P is given by;

s_{n} = \frac{n}{2}(2a + (n - 1)d)

s_{n} = \frac{20}{2}(10 + 19(3) = 10(10 +57) = 670

7 0
3 years ago
Can someone solve #7 please
umka2103 [35]

Answer: Triangles B and C

Step-by-step explanation: Because one side is divisible by 1,2,5,10 and the other side is divible by 1,3,9, etc

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3 years ago
1.Use the diagram of the regular hexagon to support an explanation showing why the formula accurately yields the area of the hex
alekssr [168]
Even though im not giving you the whole answer, let me give you something that will definitely help you:
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This in itself is a big part of what you need. I hope this is enough info for you to keep going
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h
ycow [4]

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

#SPJ4

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