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Stolb23 [73]
3 years ago
10

2(1 – 8x) = 1/2 (8 - 64x)​

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer:

x=\frac{1}{8}

Step-by-step explanation:

A quick review on PEMDAS, the order of how to solve an equation:

P - parentheses. When parentheses are being used, you have to do everything inside them before doing everything outside of them.

E - exponents. We'll skip these, since there aren't any exponents we need to worry about in this equation.

M/D - multiplication/division. I include these both together because they can be done at the same time.

A/S = addition/subtraction. Can also be done at the same time.

Some other things to note:

You add all the things with an x attached to it, and you add all the things without an x attached to it, and these never cross.

When you bring something from one side of an equal sign to another, you make it negative.

Let's solve for x using what we've learned:

2(1-8x)=\frac{1}{2} (8-64x)\\2-16x=4-32x\\16x=2\\x=\frac{2}{16} \\x=\frac{1}{8}

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A stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days. Can thes
san4es73 [151]

Answer:

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

Step-by-step explanation:

<u><em>Step:1</em></u>

Given that a stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days.

Given that the sample proportion

                      p^{-} = \frac{131}{252} = 0.5198

Level of significance = 0.05

Z₀.₀₅ = 1.96

<u><em>Step:2</em></u>

<u><em>95% confidence interval for the proportion of days that IBM stock increases.</em></u>

<u><em></em></u>(p^{-} - Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p^{-} + Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } )<u><em></em></u>

(0.5198 - 1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} } , 0.5198 +1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} })

(0.5198 -  0.06166 , 0.5198+0.06166)

(0.45814 , 0.58146)

<u><em>Final answer:-</em></u>

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

3 0
3 years ago
What is the iterative rule for the sequence: 10.5, 9, 7.5, 6, 4.5, 3, …?
goblinko [34]
Hello,

Your sequence is arithmetic.

10.5-9=1.5
9-7.5=1.5
7.5-6=1.5
6-4.5=3
4.5-3=1.5
3-1.5=1.5
1.5-1.5=0
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f(x)=f(n-1)-1.5 is the iterative rule.

f(1)=10.5
f(2)=10.5-1.5=9
f(3)=10.5-2*1.5=7.5
f(4)=10.5-3*1.5=6
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f(n)=10.5-1.5*(n-1) is the general form.


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How do you turn 53 1/3 into a fraction????
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Muhum hum....


<span>Let
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Tomas's age = t 

The sum of sally's age plus twice tomas's age is 12
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The difference of sally's age and tomas' is 3.
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s+2t=12...........(1)

3+t+2t=12
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t=9/3
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Put the value of t in (2)
s=3+t
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Sally's age = s = 6
Tomas's age = t = 3

</span>
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