The value of x is 84°.
Solution:
Measure of intercepted arc = 168°
Measure of angle x = ?
<u>Tangent-chord relationship:</u>
<em>If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>


The value of x is 84°.
Answer:
x = 4
Step-by-step explanation:
used a calculator i hope this helps <3
Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution 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 is a total of 3 + 4 = 7 marbles, hence N = 7.
- Of those, 3 are blue, hence k = 3.
- 2 marbles will be taken, hence n = 2.
The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:



Hence:

0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
Answer:
9x^2-3x+4
Step-by-step explanation:
(3x^2+2x^2-5x+7)+(4x^2+2x-3)
5x^2-5x+7+4x^2+2x-3
5x^2+4x^2-5x+2x+7-3
9x^2-3x+7-3
9x^2-3x+4
Answer:
11
Step-by-step explanation:
Two negatives cancel each other out and makes the equation 9+2. 9+2 equals 11.