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PSYCHO15rus [73]
3 years ago
12

Determine the total number of roots of each polynomial function using the factored form.

Mathematics
2 answers:
Tanzania [10]3 years ago
6 0

Answer:

3 roots

Step-by-step explanation:

The roots of a function is the x intercepts.

x=-1

x=3

x=4

Paraphin [41]3 years ago
5 0
The are three roots -1,3,and 4
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A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
Convert 21/40 to a percent
Naya [18.7K]
21/40 = 52.50% (52.5)
5 0
4 years ago
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What causes a car to decelerate? <br> rolling friction<br> sliding friction<br> static friction
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Answer:

The grinding of the material

Step-by-step explanation:

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3 years ago
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The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions s
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Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.

<h3>What is the volume of a cone?</h3>


The volume of a cone of <u>radius r and height h</u> is given by:

V = 1/3 x r² x h

In this problem, the radius and the height are given as follows:

r = 3.5 cm, h = 7 cm.

Hence the total volume is:

V = 1/3 x 3.5² x 7 = 28.6 cm³

The triathletes sloshed out 1/3 of that, hence:

1/3 x 28.6 = 9.5 cm³.

More can be learned about the volume of a cone at brainly.com/question/14281550

#SPJ1

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Which is greater 16/25 or 65%
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65 % is bigger than 16/25
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