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aniked [119]
3 years ago
9

Giving out Brainlist! 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 4(x) represent?
4(x) represents the height of one kitchen table leg.
4(x) represents the total length of all four kitchen table legs.
4(x) represents the height of one coffee table leg.
4(x) represents the total length of all four coffee table legs.
Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0

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 2x represent?

2x represents the height of one kitchen table leg. 2x represents the total height of all four kitchen table legs. 2x represents the height of one coffee table leg.<span> 2x represents the total height of all four coffee table legs.</span>
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In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the
sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

<em>Let </em>\hat p<em> = sample proportion of households who own a 4K television.</em>

The z-score probability distribution for sample proportion is given by;

           Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

     p = population proportion of households own a 4K television = 35%

     n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( \hat p > 0.50)

    P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } } ) = P(Z > 3.67) = 1 - P(Z \leq 3.67)

                                                                   = 1 - 0.99988 = 0.00012

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

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Answer:

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Step-by-step explanation:

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ira [324]

Answer:

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Step-by-step explanation:

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If thei are perpendicular their slopes will be the opposite inverse of each other, so if the slope of line m is -3 the slope of line p will be [(-3).(-1)]^{-1} = 3^{-1}=\frac{1}{3}

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