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Norma-Jean [14]
1 year ago
15

In one lottery game, contestants pick five numbers from 1 through 23 and have to match all five for the big prize (in any order)

. You'll get twice your money back if you match three out of five numbers. If you buy four tickets, what's the probability of matching three out of five numbers?
(Enter your answer as a fraction in lowest terms.)
Mathematics
1 answer:
mihalych1998 [28]1 year ago
6 0

The probability of matching three out of five numbers is 153/33649

<h3>How to determine the probability?</h3>

The numbers are given as:

1 to 23

There are five matching numbers

The  probability of getting a match is:

p = 5-k/n where k = 0, 1, 2

While the complement probability is

q = (n - 2)/n

Using the above formulas, the probability of getting from 5 is:

P = 5/23 * 4/22 * 3/21 * 18/20 * 17/19

Evaluate the product

P = 153/33649

Hence, the probability of matching three out of five numbers is 153/33649

Read more about probability at:

brainly.com/question/14290572

#SPJ1

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Find the surface area of the rectangular prism.<br> 6 yd<br> 2 yd<br> 7yd
slega [8]

Answer:

136

Step-by-step explanation:

The formula you use is as follows:

A=2(WL+HL+HW)

You plug in each number to get this equation

A=2[(6*7)+(2*7)+(2*6)]

A=2(42+14+12)

A=2(68)

A=136

5 0
2 years ago
A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 squar
Oksanka [162]
The area of the base is:
 A = root ((s-a) * (s-b) * (s-c) * (s))
 Where,
 a, b, c: sides of the triangle
 s = (a + b + c) / 2
 We have then:
 s = (9 + 9 + 9) / 2
 s = 13.5
 A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
 A = 35.07
 Then, the surface area of the prism is:
 S.A = 2 * A + 9h + 9h + 9h
 Where,
 h: height of the prism:
 Substituting values:
 421.2 = 2 * (35.07) + 9h + 9h + 9h
 Clearing h:
 27h = (421.2 - 2 * (35.07))
 h = (421.2 - 2 * (35.07)) / (27)
 h = 13
 Answer:
 
the height of the box is:
 
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8 0
3 years ago
Which of these equations have no solution? check all that apply
finlep [7]

Answer:

A, B, and E

Step-by-step explanation:

Let's look through each of the answer choices.

A) 2(x + 2) + 2 = 2(x + 3) + 1

Simplify this by expanding out the parentheses:

2x + 2 * 2 + 2 = 2x + 2 * 3 + 1

2x + 4 + 2 = 2x + 6 + 1

2x + 6 = 2x + 7

6 = 7

Well, we know that 6 is NOT equal to 7, so this has no solutions.

B) 2x + 3(x + 5) = 5(x – 3)

Simplify this by expanding out the parentheses:

2x + 3x + 3 * 5 = 5x - 5 * 3

5x + 15 = 5x - 15

15 = -15

Again, we know that 15 is NOT equal to -15, so this also has no solutions.

C) 4(x + 3) = x + 12

Simplify this by expanding out the parentheses:

4x + 4 * 3 = x + 12

4x + 12 = x + 12

3x = 0

x = 0

This actually does have a solution when x = 0, so eliminate this.

D) 4 – (2x + 5) = (–4x – 2)

Simplify this by expanding out the parentheses:

4 - 2x - 5 = -4 - 2

-2x - 1 = -6

-2x = -5

x = 2.5

This also has a solution when x = 2.5, so eliminate this.

E) 5(x + 4) – x = 4(x + 5) – 1

Simplify this by expanding out the parentheses:

5x + 5 * 4 - x = 4x + 4 * 5 - 1

4x + 20 = 4x + 19

20 = 19

Here, we know that 20 is NOT equal to 19, so this has no solution.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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