Answer:
30.4m
Step-by-step explanation:
Diameter(D) = 2r (radius)
D = 9.7m
r = 9.7m / 2
= 4.85m
C = 2πr
= 2π × 4.85m
= 30.47344873982099m
rounding - Leave it as is if the digit in the tenth is 4 or lower
- round it up if it's 5 or higher.
~~ 30.4m
M = -9 ; solve for m by simplifying both sides of the equation, then isolating the varible
Answer:
6.735
Step-by-step explanation:
im smart
Answer:
36hr 16min
Step-by-step explanation:
1pool/17hr - 1pool/32hr = 1 pool/xhr
1/17 - 1/32 = 1/x
Use common denomminator of 17*32 = 544
32/544 - 17/544 = 1/x
15/544 = 1/x
x = 544/15
x = 36 4/15 hr
x = 36hr 16min
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>
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Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
