$MathMaster logo$

MathMaster

Home
general
a bag holds black white and green marbles if one marble is randomly chosen from the bag the probability that it is black i

Question

A bag holds black, white and green marbles. If one marble is randomly chosen from the bag, the probability that it is black is 3/5. The probability that it is white is equal to the probability that it is green. If there are 9 black marbles, how many marbles are in the bag?

64

likes

318 views

Answer to a math question A bag holds black, white and green marbles. If one marble is randomly chosen from the bag, the probability that it is black is 3/5. The probability that it is white is equal to the probability that it is green. If there are 9 black marbles, how many marbles are in the bag?

$Expert avatar$

4.5

100 Answers

Let's assume that the total number of marbles in the bag is "x".

Given that the probability of choosing a black marble is 3/5, we can conclude that there are 3/5 of "x" black marbles in the bag.

Since the probability of choosing a white marble is equal to the probability of choosing a green marble, we can conclude that each of them is equal to 1/5 of "x".

So, the number of black marbles is 3/5 of "x", which is (3/5)x = 9.

To find the value of "x", we can solve the equation:

(3/5)x = 9

To isolate "x", we can multiply both sides of the equation by the reciprocal of 3/5, which is 5/3:

(3/5)x * (5/3) = 9 * (5/3)

x = (9 * 5) / 3

x = 15

Therefore, there are 15 marbles in the bag.

Answer: \boxed{15}.

Frequently asked questions (FAQs)

What is the angle measure of sin^2(x) + cos^2(x)?

+

What is 3.78 x 10^4 when converted to standard notation?

+

Math question: What is the definition of a definite integral for a function f(x) over the interval [a, b]?

+

New questions in Mathematics

How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?

Write 32/25 as a percent

A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.

(5u + 6)-(3u+2)=

The equation of the circle that passes through (5,3) and is tangent to the abscissa axis at x=2 is a.(x-2)^2 (y 3)^2 = 9 b.(x-2)^2 (y-3)^2 = 9 c.(x-2)^2 (y-3)^2 = 4 d.(x-2)^2 (y 1)^2 = 4 e.(x-2)^2 (y-1)^2 = 4

is the x element (180,270), if tanx-3cotx=2, sinx ?

find x in the equation 2x-4=6

Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.

In an audience of 4000 people, 2 people are chosen, at random, to appear on stage. How many ways can the people be chosen?

Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3

In a physics degree course, there is an average dropout of 17 students in the first semester. What is the probability that the number of dropouts in the first semester in a randomly selected year has between 13 and 16 students?

Which statement best describes the key changes in perspectives on inclusion? An inclusive program must consider the unique experiences of every child and family as well as the child's strengths and needs. There is a shift in thinking about individual programs as "inclusive programs" to thinking about inclusion as something that reflects the cultural influence of the family. There is a greater emphasis on barriers to full participation and the acknowledgement that all children are unique and must be fully and meaningfully engaged in a program. In an inclusive program all participants are accepted by their peers and other members of the community.

Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J

nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north

8/9 divided by 10/6

The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.