Answer:
Step-by-step explanation:
a.
4 people can be selected in ways=12 P4=12×11×10×9=11880
b.
4 women can be selected in ways=7P4=7×6×5×4=840
c.
First we must get rid of the -3 in the denominator
to do this you need to multiply both sides by -3
2x - 1 <span>< -5
now add 1 to both sides
2x </span><span>< -4
finally, divide both sides by 2
x </span><span>< -2
i hope this helps !!</span>
Answer:
$ 0.21 per pack
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>.
Answer:
1/10
Step-by-step explanation:
the friends eat 1/10 of the whole bar or 1/5 of half a bar
