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Harlamova29_29 [7]
3 years ago
10

The producte of x and the sum of 6 and 8 times the square of x

Mathematics
1 answer:
seraphim [82]3 years ago
7 0

Product is multiplication.

The first part would be x(6+8) , x times the sum of 6 plus 8.

The second part would be written as x^2, the square of x

Now combine to get:

x(6+8) * x^2

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A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
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Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

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