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ICE Princess25 [194]
3 years ago
9

Simplify the expression 6(3x-4) + 2x

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0
18x-24+2x
20x-24 
You simply multiply the 6 with everything in the fraction and the add the 2 x to it.
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Read 2 more answers
A telemarketer makes a sale on 25% of his calls. If he makes 300 calls in a night, what is the probability that he will make mor
Nina [5.8K]

Answer: 0.7258

Step-by-step explanation:

Given : A telemarketer makes a sale on 25% of his calls.

i.e. p=0.25

He makes 300 calls in a night, i.e. n=300

Let x be a random variable that represents the number of calls make in night.

To convert the given binomial distribution to normal distribution we have :-

\mu=np=300(0.25)=75

\sigma=\sqrt{p(1-p)n}=\sqrt{(0.25)(1-0.25)(300)}\\\\=\sqrt{56.25}=7.5

Now, using z=\dfrac{x-\mu}{\sigma}, the z-value corresponds to x= 70 :-

z=\dfrac{70-75}{7.5}\approx-0.67

The z-value corresponds to x= 90 :-

z=\dfrac{90-75}{7.5}\approx2

By using the standard normal distribution table for z, the probability that he will make more than 70 sales but less than 90 sales:-

P(-0.67

Hence, the probability that he will make more than 70 sales but less than 90 sales= 0.7258

6 0
4 years ago
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