Answer:
1/8 or 0.05
Step-by-step explanation:
The magnitude and the direction of the <em>resulting</em> vector is 3 and 0°, respectively.
<h3>Procedure - Determination of a vector by subtraction</h3>
Let assume that angles are in standard position. According to the statement, we have following model for the direction of the <em>resulting</em> vector in terms of the vectors known in statement:
(1)
Where is the resulting vector.
If we know that , and , then we have the following expression:
Then we have the following system of linear equations:
(2)
(3)
By (3):
By (2):
Hence, the magnitude and the direction of the <em>resulting</em> vector is 3 and 0°, respectively.
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Answer:
aob= 52
eod= 142
boc= 90
aoe=45
aoc=45
Step-by-step explanation:
Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96