M of angle 1: <u><em>87</em></u>
Recognize that alt. int. angles are congruent. Find the measure of angle three, which is an alt. int. angle of angle 1. Angle three is a supplementary angle to the angle right next to it, which measures 93. To find m of angle three subtract 180 from 93. M angle 3 = 87, therefore, the measure of angle 1 is 87 as well.
M of angle 2: <u><em>49</em></u>
All vertical angles are congruent
M of angle 3: <u><em>87</em></u>
Look at the solution for the first angle
M of angle 4: <em><u>44 </u></em>
If you look closely, angle 4 is part of a triangle with two known sides. Thus all we have to do is subtract 180 from the sum of the known sides.
49 + 87 = 136
180 - 36 =44
If y varies inversely with x, then we know that:
y = k/x
We are given x and y, so plug in the numbers and solve for k.
1.5 = k/6.4
k = 1.5*6.4
k = 9.6
Using the hypergeometric distribution, it is found that there is a 0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.
The students 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 <em>formula </em>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 28 students in class, hence .
- Four people will be chosen at random, hence .
- The top three is composed by 3 people, hence .
The probability that this group of four students includes at least two of the top three geography students in the class is:
In which:
Then:
0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
The greatest common factor of 18 and 48 is 6.
Answer:
The function given in the question isg(x) = 4x - 5When x = 2, theng(2) = (4 * 2) - 5 = 8 -5 ...
Step-by-step explanation:.