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nydimaria [60]
3 years ago
9

Simplify the expression 2x+4(3y+x).

Mathematics
2 answers:
Degger [83]3 years ago
8 0

Answer:

6x + 12y

Step-by-step explanation:

2x + 4(3y + x)

Use distributive property.

4 (3y + x)

4 x 3y = 12y

4 * x = 4x

2x + 12y + 4x

Combine like terms.

2x + 4x = 6x

6x + 12y

inysia [295]3 years ago
3 0

Answer:

The answer in simplified form would be 6x+12y.

Step-by-step explanation:

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n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

Step-by-step explanation:

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. We know that we require a 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:  

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

We want a margin of error of ME =\pm 0.1 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)  

Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

4 0
3 years ago
Rewrite the equation 6x + 7y = 14 into slope-intercept form (y = mx + b)
solniwko [45]

6x + 7y = 14

7y = -6x + 14

 y = - 6/7 x + 2   <--------------- slope-intercept form

7 0
3 years ago
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Simplify the following algebraic expression
Jobisdone [24]

Answer:6x+5

Step-by-step explanation:

4 0
3 years ago
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