Answer:
<u>Given</u>:
- R(x) = 59x - 0.3x²
- C(x) = 3x + 14
<u>Find the following</u>:
- P(x) = R(x) - C(x) = 59x - 0.3x² - 3x - 14 = -0.3x² + 56x - 14
- R(80) = 59(80) - 0.3(80²) = 2800
- C(80) = 3(80) + 14 = 254
- P(80) = 2800 - 254 = 2546
Answer:
4 minutes
Step-by-step explanation:
The value of 7k "minutes past nine" is the same as 8k" minutes to ten".
Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:
7k = 60 - 8k
7k + 8k = 60
15k = 60
k = 60 / 15
k = 4 minutes
Answer:
3
Step-by-step explanation:
You have to divided by 5 but you will get 2.8. But if you round it it will come out to be 3.
The slope of this line is -2.
rise/run
rise = 4
run = -2
4
------- = -2
-2
Using the points (1,0) & (0,2)
2 - 0 2
----------- = ----- = -2
0 - 1 -1
Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
