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lorasvet [3.4K]
3 years ago
5

I am thinking of a positive number. If I square it, double the result, take half of that result, and then add 12, I get 21. What

is my number?
Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

3

Step-by-step explanation:

work backwards.

x^2*2/2+12=21

x^2+12=21

x^2=9

x=3

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Answer:

a.\mu=15

b.\mu=7.8586 \ and  \ \mu=22.1414

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

P(X=k)=C_k^n.p^k.(1-p)^{n-k}

Let n be the number of trials,n=100

and p be the probability of success,p=15\%

The mean of a binomial distribution is the probability x sample size.

\mu=np=100\times0.15=15

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as:\sigma=\sqrt npq\\q=1-p

Therefore, \sigma=\sqrt(100\times0.015\times0.85)=3.5707

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c.  x=45 is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

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Step-by-step explanation: 10/1=10=10.0

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HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT
lukranit [14]

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Step-by-step explanation:

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anyanavicka [17]
5x + 4 = 7x

Subtract 4 from both sides.

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3 years ago
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