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3 years ago

Describe what the graph would look like for the inequality. x < -6 or x >= 4

Mathematics

1 answer:

Anna007 [38]3 years ago

3 0

Answer:

Step-by-step explanation:

on a number line

open circle on the -6 and draw a line to the left to ten with the arrow on the end

make a closed circle on positive 4 and draw a line to the right to 10 with arrow at the end

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A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of

notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

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

$\alpha = \frac{1 - 0.98}{2} = 0.01$

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 $1 - 0.01 = 0.99$ , so Z = 2.327.

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.

$M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031$

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

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

$0.0001 = 2.327\frac{0.0003}{\sqrt{n}}$

$0.0001\sqrt{n} = 2.327*0.0003$

$\sqrt{n} = \frac{2.327*0.0003}{0.0001}$

$(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2$

$n = 48.73$

Rounding up

49 measurements are needed.

7 0

3 years ago

The following shows a corn maze for participants to walk through. The participants can only go forward and when there is a fork

eduard

I'm not really sure but I know that the answer is <u>definitely not</u> 0.25 or 0.5.

3 0

3 years ago

Read 2 more answers

Solve for y. <br> Ax + By = C; Solve for y.

IgorC [24]

Step-by-step explanation:

ur answer is there in image

8 0

3 years ago

Find the volume of a cone with a base radius of 6 yd and a height of 12 yd

anygoal [31]

Answer:

452.38934 yd^3

Step-by-step explanation:

5 0

3 years ago

According to a bridal magazine, the average cost of a wedding reception for an American wedding is $8213. Assume that the averag

amm1812

Answer:

Point estimate of the corresponding population mean = $8,213

Step-by-step explanation:

Given:

Average cost of a wedding reception (x) = $8,213

Total number of sample (n) = 450

Standard deviation = $2185

Find:

Point estimate of the corresponding population mean

Computation:

Average cost of a wedding reception (x) = Point estimate of the corresponding population mean

Point estimate of the corresponding population mean = $8,213

7 0

3 years ago