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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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Paladinen [302]

The number -15 represents in a negative integer

<h3>How to determine what -15 represents in integers?</h3>

The number is given as:

Number = -15

Integers are numbers that do not have decimal points

The categories of integers are:

  • Positive integers (i.e. numbers greater than 0)
  • Zero
  • Negative integers (i.e. numbers less than 0)

The given number -15 is less than 0

Hence, the number -15 represents in a negative integer

Read more about integer at

brainly.com/question/17695139

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1 year ago
What is the name of this angle?
kramer
The correct answer is A.) Obtuse.

When an angle is over 90° it is considered an obtuse angle. Any angle that measures under 90 is an acute angle.


7 0
3 years ago
A circle has a circumference of 25.12 inches what is the diameter of the circle
BigorU [14]

Answer:

8

Step-by-step explanation:

Recall these two equations for circumference and diameter.

Circumference = 2*pi*radius

Diameter = radius*2

25.12 = 2*pi*radius

Radius = 4

Diameter = 4*2 => 8

Thus the diameter is 8

4 0
3 years ago
5. The sum of two numbers is 24. Five times the first number minus the second
photoshop1234 [79]

Answer:

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Step-by-step explanation:

a+b=24

5a-b=12

5a+a=6a

24+12=36

6a=36 so A on it's own is 6

24-6=b

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hope this helps!

8 0
2 years ago
Read 2 more answers
1) If the alpha level is changed from α = .05 to α = .01, what happens to boundaries for the critical region?
Alexxandr [17]

Answer:

1) a. Move farther into the tails

2) a. Decreases

Step-by-step explanation:

Hello!

1)

Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:

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95% Z_{0.975}= 1.965

99% Z_{0.995}= 2.586

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Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:

↑d= ↑Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }

They have a direct relationship.

So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.

2)

The significance level of a hypothesis test is the probability of committing a Type I error.

If you decrease the level from 5% to 1%, then logically, the probability decreases.

I hope this helps!

5 0
3 years ago
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