Which of the following is the correct value for x?
2 answers:
Answer:
x = 55.94 degrees
Step-by-step explanation:
(to find x, use cosine) (cos = )
<em>First step: write out the equation</em>
⇒ cos x =
<em>Second step: find out what </em><em> is </em>
⇒ = 0.56
<em>Third step: find out what the cos-1 of 0.56 is</em>
⇒ cos-1 of 0.56 = 55.94
Fourth step: you got your answer
⇒ x = 55.94
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For this case we have the following inequality:
x> -9
The solution set of this inequality is given by:
(-9, inf)
Therefore, all the points within the given interval must belong to the graph of the inequality.
Note: see attached image.
Answer:
(-9, inf)
See attached image.
x> -9
The solution set of this inequality is given by:
(-9, inf)
Therefore, all the points within the given interval must belong to the graph of the inequality.
Note: see attached image.
Answer:
(-9, inf)
See attached image.
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.