A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

4 0

3 years ago

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M is directly proportional to r2.when r=2,m=14.Work out the value of r when m =224

DENIUS [597]

Answer:

$r=8$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

In this problem

Let

$y=m$

$x=r^{2}$

substitute

$m=kr^{2}$

<u>Find the value of k</u>

For $r=2, m=14$

$14=k(2^{2})$

$14=4k$

$k=14/4$ ----> constant of proportionality

the equation is equal to

$m=(14/4)r^{2}$

Find the value of r when m=224

substitute in the equation and solve for r

$224=(14/4)r^{2}$

$r^{2}=224*4/14$

$r^{2}=64$

$r=8$

6 0

3 years ago

Find the zeros of the polynomial 6x 2 + 12x

klio [65]

Answer:

i think it's 6x(x+2)

Step-by-step explanation:

3 0

3 years ago

The speed, s, of the current in a certain whirlpool is modeled by s=300/d, where d is the distance from the center of the whirlp

zlopas [31]

if the speed "s" of the current in a certain whirlpool is modeled by s = 300/d, where "d" is the distences from the center of the whirlpool. the true statement is: as you move closer to the center of the whirlpool, the speed of the current approaches infinity.hope this help

4 0

3 years ago

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