Answer:
p, m, n.
Step-by-step explanation:
It is given that,
Here, p is the name of the function and its variable is m which is independent.
Independent variable : Whose value does not depend on another variable.
Dependent variable : whose value depends on the another variable.
Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.
∴ If n = p(m), p is the function name, m is the independent variable, and n is the dependent variable.
Potential energy<span> is the </span>energy<span> possessed by an object because of its position.
So it is D the highest point of the trajectory. </span>
Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There are 12 bulbs, hence N = 12.
- 3 are defective, hence k = 3.
The third defective bulb is the fifth bulb if:
- Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
- The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.
Hence:
0.2182 x 1/8 = 0.0273.
0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
Answer:
The area of the shaded region is about 58.9 square inches.
Step-by-step explanation:
To solve this question, let's recall some facts.
We know that the area of a circle can be defined as the following:
where r is the radius of the circle.
We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.
We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.
Now, we can solve the problem.
Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:
After approximation, I can conclude that the area of the shaded region is 58.9 square inches.
