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Gemiola [76]
3 years ago
5

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0
Do u have a pic of the problem?
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D and E. If I remember right that should be the answer.
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7. A battery manufacturer makes batteries that have a failure rate of .015. That is, 15 out of each 1,000 batteries are defectiv
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The answer to this probability question is .86 or 86%. The probability that a batch of 10,000 batteries will contain at least 175 defective batteries is  86 percent. I calculated the failure rate of 10,000 batteries (10k*.015) and yielded 150, meaning there will be 150 batteries that will be defective in a set of 10,000. Then i divided 150 by 175 to get the probability.
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Simplify each expression using an exponent rule learned in class. <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7By%7D%7Bx%7D%20%
Maksim231197 [3]

Hey there! I'm happy to help!

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Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The nu
malfutka [58]

Answer:

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 15, p = \frac{1}{20}

a) The standard deviation is 0.8441

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.05*0.95} = 0.8441

This is correct

b) The number of trials is equal to 15

n is the number of trials and n = 15. So this option is correct.

c) The probability that x equals 1 is 0.3658

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

E(X) = np = 15*0.05 = 0.75

This option is correct.

f) None of the above

d is false

3 0
3 years ago
What is the value of log 7 343?–3 -1/3 1/3 3
xeze [42]

Answer: 3

Step-by-step explanation:

Given :

Log_{7} 343

We need to write 343 in index form of 7.

343 is the same as 7^{3} , replacing 343 with 7^{3} , we have

Log_{7} 7^{3}

Recall one on the law of Logarithm :

Log_{a}b^{c} can be written as c Log_{a}b

So, Log_{7} 7^{3} can be written as ;

3Log_{7} 7

Also from the laws of Logarithms , Log_{a} a = 1

so , Log_{7}[/tex] 7 = 1

The solution then becomes

3 x 1 = 3

Therefore :

Log_{7} 343 = 3

8 0
3 years ago
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