In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If the ball is rolled 25 times, the probability that it falls into the green slots two or more times:___________.

Answers

Answer 1

Answer:

Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

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True or false, there is no solution to the systems of inequalities shown belowy<3x+5y>-x+4

The perimeter(P 2l+2w)of a rectangle is 18 cm. If w is the width of the rectangle and L is the length, which graph below shows the relationship between the width and the length of the rectangle?

Answers

the question does not present the options, but thisdoes not interfere with the resolution

we know that

Perimeter of rectangle=2*[W+L]

where

L is the length of rectangle

W is the width of rectangle

Perimeter=18 cm

18=2*[W+L]-----> divide by 2------> 9=W+L

Let

x-------> L

y-------> W

then

x+y=9

using a graph tool

see the attached figure

the slope of the line is m=1

the x intercept is the point (9,0)

the y intercept is the point (0,9)

Final answer:

The relationship between the width and length of a rectangle given a constant perimeter is inverse; as the length increases, the width decreases proportionally. The graph representing this relationship would feature the length on the x-axis and width on the y-axis, and the line would represent all pairs of length and width that satisfy the equation

Explanation:

The problem in question asks to find the relationship between the width and length of a rectangle given its perimeter. In the given expression,

P = 2l + 2w

, where P is the perimeter, l is the length, and w is the width of the rectangle. Given that P = 18 cm, the relationship between the width and length can be represented by the equation

w = (P - 2l)/2

which implies that as the length increases the width decreases proportionally to maintain the constant perimeter. We must then create a graph where the x-axis represents the length and the y-axis represents the width, and a line representing possible solutions (l, w) that satisfy both the equation and the conditions given (length and width must be greater than 0).

Learn more about Geometric Relations here:

brainly.com/question/36740568

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Using the information below, choose the correct answers. Amount: $200,000
Rate: 7%
Payments: 360 @ $774.50
Total Interest: $78,820.00

A. How much will be repaid for this loan? $
B. What percentage of this total is total interest?
C. What will be the average amount per payment for interest?

Answers

The right answer for the question that is being asked and shown above is that: "C. What will be the average amount per payment for interest?" Using the information below, the correct answer is C. What will be the average amount per payment for interest?

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Answers

y = kx ⇒ k = y/x = 2/(-3) = -2/3

Answer: k = -2/3

Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?a.3x + 2y = 10
b.2y + 3x = 10
c.2x + 3y = 10

Answers

Twice the abscissa increased by three times the ordinate is 10.
x - the abscissa;
y - the ordinate.
Answers A and B represents: "Three times the abscissa increased by twice the ordinate is 10." Therefore A are B are wrong.
Answer:
C ) 2 x + 3 y = 10

What is the sum? 2/13 + 5/13 a. 10/169 b 7/26 c 7/13 d 10/13

Answers

$\sf(2)/(13)+(5)/(13)$

Add the numerators and keep the denominator:

$\sf(2+5)/(13)\rightarrow(7)/(13)$

I'm pretty sure it's 7/13 because u do not change the denominators when u are adding they stay the same. And 2+5 is 7 the answer is c 7/13

Solve the system using multiplication for the linear combination method.6x – 3y = 3
–2x + 6y = 14
What is the solution to the system?
(2, 1)
(2, –3)
(2, –1)
(2, 3)

Answers

If you would like to solve the system of equations, you can calculate this using the following steps:

6x – 3y = 3
–2x + 6y = 14 /*3
_________
6x – 3y = 3
–6x + 18y = 42
_________
-3y + 18y = 3 + 42
15y = 45
y = 45/15
y = 3

6x – 3y = 3
6x - 3 * 3 = 3
6x = 3 + 9
6x = 12
x = 12/6
x = 2

(x, y) = (2, 3)

The correct result would be (2, 3).

Answer:

The answer is D

(2,3)

Step-by-step explanation:

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