Suppose there are 7 roads connecting town a to town b and 8 roads connecting town b to town c. In how many ways can a person tra
1 answer:
Answer:
Step-by-step explanation:
In combinatorics, the rule of product states that if there are ways of doing one thing and
ways of doing another thing, then there are
ways of performing both actions.
In this case, if there are 7 ways of getting from town A to town B, and 8 ways of getting from town B to town C, then there are ways of getting from town A to town C via town B.
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The result of expanding the trigonometry expression is
The expression is given as:
Express as
.
So, we have:
Open the bracket
Express 1 as cos°(Ф)
Hence, the result of expanding the trigonometry expression is
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Answer:
Mean = 8
Variance = 7.36
Standard Deviation = 2.7129
Step-by-step explanation:
This is a binomial distribution with parameters, n and p.
Where
n is sample size (given as 100)
p is the probability of success, or probability of defective (given as 8% or 0.08)
The mean, variance, standard deviation formula for binomial distribution is shown below:
Mean =
Variance =
Standard Deviation =
Where q would be probability of failure, or "1 - p"
Thus,
n = 100
p = 0.08
q = 1 - 0.08 = 0.92
SO, we have:
Mean =
Variance =
Standard Deviation =
The value of the variable x is found to be x = 9.
<h3>What is termed as angle bisector?</h3>- In geometry, an angle bisector is a line that divides an angle into two equal angles.
- A bisector is something that divides a shape or thing into two equal portions.
- An angle bisector is a ray that divides an angle into two equal components of the same measurement.
A bisected angle divides the two sides in equals.
JKM = LKM
As, both are equal.
Then, each of these angles are 1/2 the angle JKL.
1/2 JKL = MKL
1/2 ×( 92) = 5x + 1
Further simplifying;
46 = 5x+1
Subtract 1 from each side
46-1 = 5x
45 = 5x
Divide each side by 5
45/5 = 5x/5
x = 9
Thus, the value of the unknown variable is found to be x = 9 units.
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