25 hope it helps have a great day :)
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>.
Answer:
8⁵
Step-by-step explanation:
you count how many times 8 is being multiplied by itself, and that's the number you put as the exponent
Answer:
Jen saved $320.
Step-by-step explanation:
Since she would like 8 bushes total and 1 = $60, we will multiply (60 x 8) to get a total of $480.
Finally, to find out how much Jen saved, we must subtract Jens final priced total ($480) - the landscapers asking price ($800) to get ( = $320)
Jen payed $480 and saved $320.
Hope this helps...
Answer: There are 13464 cubic feet in the lake.
Step-by-step explanation:
Since we have given that
Surface area of lake = 748 acres
Average depth of lake = 18 feet
So, Volume of lake would be
Surface area of lake × Average depth
Hence, there are 13464 cubic feet in the lake.
