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1 year ago

Which example would be likely to give a valid conclusion?

Mathematics

1 answer:

alukav5142 [94]1 year ago

7 0

Given: Different statement

To Determine: Which of the statement would give a valid conclusion

Solution

Please note that the statement must be a true representation of the population

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When testing for current in a cable with eight color-coded wires, the author used a meter to test five wires at a time. How man

balu736 [363]

Answer:

56 different tests

Step-by-step explanation:

Given:

Number of wires available (n) = 8

Number of wires taken at a time for testing (r) = 5

In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.

So, finding the combination of 5 pairs of wires from a total of 8 wires is given as:

$^nC_r=\frac{n!}{r!(n-r)!}$

Plug in the given values and solve. This gives,

$^8C_5=\frac{8!}{5!(8-5)!}\\\\^8C_5=\frac{8\times 7\times 6\times 5!}{5!\times 3\times2\times1}\\\\^8C_5=56$

Therefore, 56 different tests are required for every possible pairing of five wires.

6 0

3 years ago

The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o

kaheart [24]

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

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

$\alpha = \frac{1-0.95}{2} = 0.025$

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

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

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.

$M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064$

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

4 0

3 years ago

What strategy would you use to find a vertex on a graph, on a table or of an equation? How are these strategies different?

Gemiola [76]

Hey there! :D

To find a vertex on a graph, you would need to look at where the line stops. This place where there is a distinct curve or stopping point and at least one line is going infinity in one direction is the vertex. The graph is much easier than any other method, because it is visual. If I was looking at the vertex on a table, I would see (especially on a quadratic) if there was a pattern to the points. Most points are opposite of each other, so it can be helpful to look at a pattern. In an equation, a parent function can help to see where the vertex is, as well (for quadratics) finding the line of symmetry with the equation to find the vertex. (-b/2a) The strategies are very different, some are easier than others. For example, I would much rather look at a graph for a vertex then do an equation to find it. Some involve looking, seeing a pattern, and others solving. They are all very different but can all be extremely helpful!

I hope this helps!

~kaikers

4 0

3 years ago

How do you describe the sum of two rays for geometry?

Ray Of Light [21]

To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.

3 0

3 years ago

The sum of three consecutive integers is 132. Find the integers.

valina [46]

X+x+1+x+2=132
3x=129
x=43
43+44+45=132

3 0

3 years ago