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1 answer:
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Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
Answer:
a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.
b) 0.996 is the probability that more than half of the vehicles carry just one person.
Step-by-step explanation:
We are given the following information:
A) Binomial distribution
We treat vehicle on road with one passenger as a success.
P(success) = 64% = 0.64
Then the number of vehicles follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 10
We have to evaluate:
0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.
B) By normal approximation
Sample size, n = 92
p = 0.64
We have to evaluate the probability that more than 47 cars carry just one person.
After continuity correction, we will evaluate
Calculation the value from standard normal z table, we have,
0.996 is the probability that more than half out of 92 vehicles carry just one person.