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vlabodo [156]
2 years ago
6

A coin is unbalanced such that it comes up tails 55% of the time.

Mathematics
1 answer:
strojnjashka [21]2 years ago
8 0
A. P[TTTTH] = .55^4*.45 = .0412

<span>b. P[HHHT] = .45^4*.55 = .0226 </span>

<span>c. 1/.45 = 2.222 </span>

<span>d. 1/.55 = 1.818</span>
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Four times a number minus twice another number is -16. The sum of the two numbers is -1. Find the numbers
Ivenika [448]

Answer:

2 and -3

Step-by-step explanation:

Let the numbers be x and y ∴ 4x -2y =-16......................Eqn 1

and x+y=-1.................................Eqn 2

this ⇒x=-1-y. Substitute the value of x to be=-1 -y and putting in Eqn 1 yields the following 4(-1-y)-2y =-16 0r -4-4y-2y=-16

⇒-4-6y=-16 0r =-6y=-12 ∴y is 2

⇒ and x is -3

7 0
3 years ago
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in sect
Novay_Z [31]

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

=============================================================

Work Shown:

  • A = number of seats in section A
  • B = number of seats in section B
  • C = number of seats in section C

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

--------------

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

5 0
2 years ago
Multiply (5x2 + x − 4)(x + 2).
Trava [24]
(x + 2)(5x^2 + x - 4) =
x(5x^2 + x - 4) + 2(5x^2 + x - 4) =
5x^3 + x^2 - 4x + 10x^2 + 2x - 8 =
5x^3 + 11x^2 - 2x - 8 <===

6 0
3 years ago
Read 2 more answers
What is the correct order of these numbers ... 5/6, 12/13, 0.8
Ratling [72]
0.8 4/6 12/13 I think
6 0
3 years ago
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Fill in the blanks below using the word bank.
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M is the slope.

B is the y-intercept

The constant of proportionality is the ratio between two directly proportional quantities.

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