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irga5000 [103]
3 years ago
8

Solve the equation sqrt x+3+4 =5 for the variable. Show each step of your solution process.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Domain:\\x+3\geq0\to x\geq-3\\\\\sqrt{x+3}+4=5\ \ \ \ |-4\\\\\sqrt{x+3}=1\ \ \ |^2\\\\(\sqrt{x+3})^2=\pm1^2\\\\x+3=\pm1\ \ \ \ |-3\\\\x=-4\notin D\ \vee\ x=-2\in D\\\\Answer:\ \boxed{x=-2}

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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).

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3 years ago
Factor completly: x^2-2x-24
melisa1 [442]
<span>x^2-2x-24 = (x - 6)(x + 4)

cause
</span>(x - 6)(x + 4)
= x^2 - 6x + 4x - 24
= x^2 - 2x - 24

answer
(x - 6)(x + 4)

hope it helps
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