Use the formula to evaluate the series 6+2+2\3+2\9+...+a6
1 answer:
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Answer and explanation:
Given : A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 (inclusive) mistakes is 0.53.
Let X be the number of mistake
To find : The probability of each of the following outcomes.
a) A student makes more than 20 mistakes
i.e.
b. A student makes 6 or more mistakes
i.e.
c. A student makes at most 20 mistakes
i.e.
Using 'a' part
d. Which two of these three events are complementary?
The complement of an event happening is the exact opposite: the probability of it not happening.
According to definition,
Option a and c are complementary events.
Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|=
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !