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Jobisdone [24]
3 years ago
13

Consider the equation x +1 = 2.

Mathematics
2 answers:
kiruha [24]3 years ago
6 0

Answer:

x^2 + 2x +1  = 2x + 2

Step-by-step explanation:

(x+1) = 2

multiplying both sides by x +1

(x +1) (x+1) = 2 (x+1)

x^2 + 2x +1  = 2x + 2

nexus9112 [7]3 years ago
4 0

Answer:

x² + 2x + 1 = 2x + 2

Step-by-step explanation:

Multiply without the multiplication symbol so use distributive property.

(x+1)(x+1) = 2(x+1)

Use the FOIL method (first, outer, inner, last)

(x)(x)+(x)(1)+(1)(x)+(1)(1) = (2)(x)+(1)(2)

which will give you:

x²+x+x+1 = 2x+2

combine like terms

x²+2x+1 = 2x+2

ta da! hope this helps

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In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%
lions [1.4K]

Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:  

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

And replacing into equation (b) the values from part a we got:  

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

6 0
3 years ago
Quadrilateral FGHJ is dilated according to the rule DO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown. Wha
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Answer: it’s -2,-4


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6 0
3 years ago
I need help on this, can anyone please help me ?
Hoochie [10]

Answer:

I do not know the answer of this question

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3 years ago
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The diagram shows a polygon. Find the area, in cm², of the whole diagram. ​
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Answer:

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Answer:

96

Step-by-step explanation:

commom difference = d

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so

a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96

6 0
2 years ago
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