The sum of adjacent angles on a straight line would be 180°.
Since x is on a straight line,what we need to do is to deduct the remaining two angles,here's what the equation would be like:
180°-90°-30°
=60°
Thus,x=60°
hope it helps!
Answer:
Step-by-step explanation:
<em>OR</em>
Information on trigonometric ratios
I am joyous to assist you at any time.
The triangle will still be similar to the original triangle.
Those transformations altered the position and scale of the triangle, but the angle measures are still the same.
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
