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Inessa05 [86]
4 years ago
6

Kong took 15 percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 858585 seconds.

Mathematics
1 answer:
Alex4 years ago
4 0

Answer:

100 seconds

Step-by-step explanation:

I've seen this question before. I know you didn't mean to put 858585.

The real question is "Kong took 15% percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds. How many seconds did Nolan take?"

Now let's work!

Kong took 15% fewer seconds than Nolan took.

So Kong took 100%−15%=85%

Whatever Nolan's total was, Kong had 85% of that.

We know Kong took 85 seconds. 85% of Nolan's total is 85 seconds.

=100 seconds. 85%=15 seconds

Which means that Nolan took 100 seconds.

Glad I was able to help!!

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A researcher is 95% confident that the interval from 5.2 hours to 7.8 hours captures u = the true mean amount of time
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<h3>Answer: Choice B</h3>

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol \mu which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

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Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

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A building blueprint has a scale of 2 inches equal to 25 feet. On the blueprint, the 10-story building has a height of 12 inches
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4 years ago
The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

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3 years ago
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