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Dmitry_Shevchenko [17]
3 years ago
6

A bag contains colored marbles as ahoy. in the table below. Two marbles are drawn at random from the bag. Find each

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0
With no replacement is 1/3and with replacement is 3/10
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Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

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

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
What is the answer for<br> -4x+4y=12<br> 3x-4y=-18
Liula [17]
Use elimination.

-x = -6
X = 6

-4 (6) + 4y = 12
Y = 9

(X,y)

(6,9) is the solution
6 0
4 years ago
Claire has two $20 bills, two $5 bills, and three
jarptica [38.1K]

Answer:

153

Step-by-step explanation: 20 x 2 + 5 x 2 + 3 x 1+ 100

6 0
4 years ago
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A pyramid has a surface area of 539 ft.² what is the surface area of a similar pyramid that is smaller by a scale Factor of 1/7
Nataly [62]

Answer:

77 ft²

Step-by-step explanation:

Given that:

Surface Area of larger pyramid = 539 ft²

Scale factor of the smaller pyramid = 1/7

Tbe surface area of the smaller pyramid will be :

Scale factor * surface area

1/7 * 539ft²

= 539 ft² / 7

= 77 ft²

5 0
3 years ago
Please help asap, The area of the living room is:<br> A. 20 m²<br> B. 25 m²<br> C. 15 m²<br> D. 9 m²
Inga [223]

Answer:

All these rooms are rectangles so to find the

area of the rooms multiply length by width.

Living Room: 5x4 = 20 m^2

7 0
2 years ago
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