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lubasha [3.4K]
3 years ago
8

Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and

there are 4 legs on each table. He writes the expression 4(2x) + 4(x) to model his building plans. What does the 4(2x) represent?
A. 4(2x) represents the height of one kitchen table leg.
B. 4(2x) represents the total length of all four kitchen table legs.
C. 4(2x) represents the height of one coffee table leg.
D. 4(2x) represents the total length of all four coffee table legs.
Mathematics
2 answers:
GuDViN [60]3 years ago
7 0
B. They are twice as long and there are 4 of them 
Ber [7]3 years ago
7 0

Given:  The legs of  Diego kitchen table must be twice the height of a coffee table and there are 4 legs on each table.  Let x represent  the height of a coffee table .

The given expression is 4(2x) + 4(x) .There are four legs in Kitchen table. Length of each leg of Kitchen table is 2x. Length of all the 4 legs of the kitchen table =4(2x).

Among all the options ,Option B. 4(2x) represents the total length of all four kitchen table legs is the right option.

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
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ME =1 represent the margin of error desire

The margin of error is given by this formula:

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And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be \alpha=0.01 and the critical value z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

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