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andrew-mc [135]
3 years ago
14

How do you simplify this equation 2z^-8

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

Answer:

2 / x^8

Step-by-step explanation:

Please enclose negative exponents inside parentheses:  2z^(-8).

Note that this can be rewritten with a positive exponent as follows:

   2

---------

 z^8

No other simplification is possible.

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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
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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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\sqrt{ - 32} \\   =  \sqrt{ - 1 \times 16 \times 2}  \\  =  \sqrt{ - 1}  \times  \sqrt{16}  \times  \sqrt{2}  \\  =\boxed{ 4 \sqrt{2} i}

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Step-by-step explanation:

7/9

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