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frosja888 [35]
3 years ago
8

48x^2 +44x=60 which of the following could be used to find the solution to the equation above? Select all that apply

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Because the polynomial has degree 2, we can assume that there are 2 solutions (roots), whether real or imaginary.

You can subtract 60 in order to put this in standard form

48x^2+44x-60 = 0

From there, just put a,b, and c into the quadratic formula and you're good to solve for your answers.


(-b+-sqrt(b^2-4ac))/2a

(-44+-sqrt(44^2-4(48)(-60)))/2(48)

Then solve.


There is probably a better way, but this should give you the two roots/solutions.

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Most of the time you can go on a website that can cauculate it.

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How to cauculate the MAD:

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.

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find three consecutive even integers such that if the largest integer is subtracted from two times the smallest the result is 18
Vladimir [108]
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2 years ago
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

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0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0
3 years ago
The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.
Inessa [10]

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Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

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Now, if  radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height  will be  H=\dfrac{1}{2}

Now, new surface area = 2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh

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Hence, the ratios of their surface areas = 1:1 .

5 0
2 years ago
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