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ra1l [238]
3 years ago
13

Help plz!! The function h(t)=-16t^2+22t+4 models the height (h) of a football t seconds after it is thrown. The question ask to

the nearest foot, what is the greatest height that the football reaches? (Little help: Function in vertex form is h(t)=-16(x-11/16)^2+185/16)
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0
If you're familiar with the quadratic equation
\frac{ -b \pm \sqrt{b^2-4ac}}{2a}

well, \frac{ -b}{2a} is the x component of the vertex, in your case, the vertex is the highest point

figure out what t is at the highest point, and then substitute that back into the equation in order to determine height

x=t in this problem
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Step-by-step explanation:

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Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample <em>t</em>-test will be used.

The correct option is b.

(2)

The null hypothesis is:

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(3)

The alternative hypothesis is:

<em>Hₐ</em>: The average temperature in the population is less than 98.6°F, i.e. <em>μ </em>< 98.6°F.

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(4)

The standard deviation of the sample mean is as follows:

SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F

Thus, the value of SD is 0.3°F.

(5)

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t=\frac{\bar x-\mu}{SD_{\bar x}}

  =\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

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   = 8

Thus, the degrees of freedom of the test is 8.

8 0
3 years ago
I have like 20 minutes please help<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D-7x%2B10%3D0" id="TexFormula1" title="x^{2}-7x+10
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Wait are we trying to find x?

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3 years ago
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Lesechka [4]

Answer: Roughly 111.97

Step-by-step explanation:

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