Which of the following is not a way to represent the solution of the inequality 8x – (5x + 4) 2-31?
1 answer:
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Answer:
2.87%
Step-by-step explanation:
We have the following information:
mean (m) = 200
standard deviation (sd) = 50
sample size = n = 40
the probability that their mean is above 21.5 is determined as follows:
P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]
P (x> 21.5) = P (z> -22.57)
this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:
P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]
P (x> 215) = P (z> 1.897)
P (x> 215) = 1 - P (z <1.897)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) =.0287
Therefore the probability is approximately 2.87%
Answer:
Let the number of balcony seats be b
Let the number of gallery tickets be g
Let the number of main floor tickets be m
b + g + m = 1020
b = 2g
m = b + 225
The number of balcony tickets = 318
The number of gallery tickets = 159
The number of main floor tickets = 543
Step-by-step explanation:
Let the number of balcony seats be b
Let the number of gallery tickets be g
Let the number of main floor tickets be m
i) Therefore we can write b + g + m = 1020
ii) there were twice as many balcony tickets sold as gallery tickets
therefore b = 2g g = 0.5b
iii) there were 225 more main floor tickets than balcony tickets
therefore m = b + 225
iv) using equation ii) and equation iii) in equation i) we can write
b + g + m = b + 0.5b + b + 225 = 1020 2.5b = 795
b = 318
v) g = 0.5 b = 0.5 318 = 159
vi) m = b + 225 = 318 + 225 = 543