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Damm [24]
3 years ago
7

A box contains 60 identical marbles where x of them are red while the rest are yellow. If a marble is drawn and the probability

that it is white is 1/12, find the value of x.
b: How many white marbles must be added to the box so that the probability of choosing a white marble is 5/16?
Please answer I will make brianliest!!
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

a. x is 55

b. 20 white marbles

Step-by-step explanation:

Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)

a. The number of identical marbles in the box, n = 60

The number of red marbles = x

The number of white marbles = The rest of the marbles which are not red

The probability that a marble drawn is white, P(y) = 1/12

Let 'y' represent the number of white marbles

From probability theory, we have;

The number of white marbles, y = n × P(y) = 60 × 1/12 = 5

The number of red marbles, x = n - y = 60 - 5 = 55

x = 55

b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;

Let Δy represent the number of white marbles added, therefore;

P(y) = (y + Δy)/(y + Δy + x)

∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16

5 × (60 + Δy) = 16 × (5 + Δy)

300 + 5·Δy = 80 + 16·Δy

16·Δy - 5·Δy = 300 - 80

11·Δy = 220

Δy = 220/11 = 20

The number of white marbles that must be added, Δy = 20 white marbles

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SOMEONE EASE ANSWER NUMBER 4?
nlexa [21]

On analyzing the question we can say that the angle ∠JKM of the triangle ΔJKL would be 42 as line MK bisects ∠JKL into ∠JKM & ∠MKL.

From the question it follows that line MK bisects angle ∠JKL into ∠JKM & ∠MKL where M is the point in the interior of ∠JKL.

Therefore, as we have given  m∠JKL = 84 & m∠MKL  = 42

and we have to find m∠JKM , we will simply write the equation as follow

m∠JKL = m∠JKM + m∠MKL

Inserting values we get,

84 = m∠JKM + 42

m∠JKM = 42

Hence, angle m∠JKM  of the triangle ΔJKL is  42.

Learn more about questions related to triangles and their angles here

brainly.com/question/13273388

#SPJ9

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