The first has value 2500*(1+.05*9)=3625. The second, similarly, has value 4160, and the third, 3400. Thus, the order, from least to greatest, is third, first, second.
Answer:
x = 80
Step-by-step explanation:
Combine − 3/5x and 7/20x to get -19/20x.
Then combine -19/20x and 1/4x and you get -7/10x.
Then you multiply both sides by -10/7 which is the reciprocal of -7/10.
Make -56(-10) one fraction.
Multiply -56 and -10 and you get 560.
Then divide 560 by 7 to get 80.
Answer:
-2
Step-by-step explanation:
3(a+1.5)=-1.5
a+1.5 = - 1.5/3 = - 0.5
a = - 0.5 - 1.5 = - 2
Answer:
To find part A you need to find common denominator.
1/3 + 3/5=
5/15 + 9/15= 14/15
His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.
To find part B you also need to find the least common denominator.
11/12-5/6=
11/12-10/12=1/12
His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.
Step-by-step explanation:
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>.
