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3 years ago

-2(x+1)+6x<-14I need help

Mathematics

1 answer:

jeka57 [31]3 years ago

3 0

Answer:

x<-3

Step-by-step explanation:

-2(x+1)+6x<-14

Distribute

-2x-2 + 6x < -14

Combine like terms

4x -2 < -14

Add 2 to each side

4x-2+2 < -14+2

4x < -12

Divide by 4

4x/4 < -12/4

x<-3

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3 years ago

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3 years ago

Use the information from the polling agency to determine the sample size needed to construct a 95% confidence interval with a ma

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Answer:

the sample size n= 771

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Step-by-step explanation:

Step1:-

marginal error formula is $\frac{2S.D}{\sqrt{n} }$

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Given margin error is 36% = 0.036

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on simplification , we get n= 777 polling agencies

Step 2:-

$Margin of error = \frac{2\sqrt{p(1-p)} }{\sqrt{n} }$

substitute values , we get

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after simplification, we get

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squaring on both sides, we get

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multiply 'p' inside

$p-p^{2} =\frac{1}{4}$

cross multiplication '4' and simplify

$4p^{2} -4p +1 =0$ ........(1)

finding 'p' value

The equation (1) is of the form $(a-b)^{2} = a^{2} -2ab+b^{2}$

$(2p)^{2} -2(2p)(1)+1^{2} = (2p-1)^2$

$(2p-1)^2 =0$

$p=\frac{1}{2}$

conclusion:-

The sample size is 771

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3 years ago

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We have two numbers say a, b. And a system of equations.

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It looks a bit intimidating but it's actually very easy.

Instead of term a + b in the second equation we can say it's zero because the first equation describes a + b as being equal to 0.

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$\dfrac{0}{15}+10\cdot0=1\Longrightarrow 0+0=1$

The above equation is not true therefore numbers a and b do not exists in the real number domain.

$a,b\notin\mathbb{R}$

No solution.

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-2(x+1)+6x<-14I need help​

-2(x+1)+6x<-14I need help