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AveGali [126]
4 years ago
5

F (x)=(3x+1)(x^-3x-6)

Mathematics
1 answer:
lina2011 [118]4 years ago
3 0
Replace <span><span>f<span>(x)</span></span><span>f<span>(x)</span></span></span> with <span>yy</span>.<span><span>y=3x−6</span><span>y=3x-6</span></span>Interchange the variables.<span><span>x=3y−6</span><span>x=3y-6</span></span>Solve for <span>yy</span>..<span><span>y=2+<span>x3</span></span><span>y=2+<span>x3</span></span></span>Solve for <span>yy</span> and replace with <span><span><span>f<span>−1</span></span><span>(x)</span></span><span><span>f<span>-1</span></span><span>(x)</span></span></span>.
<span><span>f<span>−1</span></span><span>(x)</span>=2+<span><span>x3</span></span></span>
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Step-by-step explanation:

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1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that
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The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

z=\frac{100000-72641}{30000}=0.91

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

z=\frac{100000-72641}{30000/\sqrt{5} }=2.04

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

z=\frac{100000-72641}{30000/\sqrt{10} }=2.88

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

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3 years ago
Which inequality has the solution shown below?<br> -18 -17 -16 -15 -14 -13 -12
dmitriy555 [2]

Answer:

0.2x+5>2

Step-by-step explanation:

0.2 is the same as 2/10;

(2/10)x>2-5

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X>-15( since -15 is lesser than -14,-13,-12 and so on. the sign should be >

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