$lnx=log_ex\\----------\\log_ab=c\iff a^c=b\\----------\\Domain:\\5x > 0\ \ \ |divide\ both\ sides\ by\ 5\\x > 0\\D:x\in\mathbb{R^+}\\----------------------\\2ln(5x)=8\ \ \ \ |divide\ both\ sides\ by\ 2\\\\ln(5x)=4\iff e^4=5x\\\\5x=e^4\ \ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=\frac{e^4}{5}\in D}$

8 0

3 years ago

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A firm gives discounts to its customers who pay their bills on time. A customer receives a ten percent discount on the next invo

LekaFEV [45]

Answer:

0.551

Step-by-step explanation:

Let no. of people who take discount = x

Using binomial distribution, N c X. p^x. q^(n-x)

p : customer getting discount = 0.3, q : customer not getting discount = 0.7 n : no. of customers = 8

Probability that x < 3 : Prob (x=0) + Prob (x=1) + Prob (x=2)

= 8 c 0. (0.3)^0 . (0.7)^8 + 8 c 1. (0.3)^1 . (0.7)^7 + 8 c 2. (0.3)^2 . (0.7)^6

0.05764801 + 0.19765032 + 0.29647548

0.551

8 0

3 years ago