Answer:
Step-by-step explanation:
given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect
By mere guessing probability for choosing correct answer = p = 0.2
also each question is independent of the other
Hence if X is the number of correct questions then
X is binomial with p = 0.2 and n = 6
a) being correct on three questions,
=
(b) being correct on four questions,
= 
(c) being correct on all six questions
=
Answer:
The modulus of the complex number 6-2i is:
Step-by-step explanation:
Given the number
We know that
where x and y are real and 
The modulus or absolute value of z is:
Therefore, the modulus of will be:
Therefore, the modulus of the complex number 6-2i is:
Answer:
Step-by-step explanation:
<h3>
Answer: 80 degrees</h3>
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Explanation:
Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.
Once we know that angle 3 = 100, we will use this to find angle 4.
Angles 3 and 4 add to 180. They form a straight angle or straight line.
(angle3)+(angle4) = 180
(100) + (angle4) = 180
angle4 = 180-100
angle4 = 80 degrees
