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serg [7]
3 years ago
6

Order the following numbers from least to greatest: 10^5,10^-99,10^-17,10^14,10^-5,10^30

Mathematics
1 answer:
n200080 [17]3 years ago
6 0

Answer:

10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30

Step-by-step explanation:

Each root adds a exponent behind the initial one. The negatives add a decimal point and zeros in front

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How is this equation completed? I cannot find any examples in the book.
djverab [1.8K]

Answer: Option D

t_{max} =19\ s

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

h = -12t ^ 2 + 456t

To find the maximum height of the projectile we must find the maximum value of the quadratic function.

By definition the maximum value of a quadratic equation of the form

at ^ 2 + bt + c is located on the vertex of the parabola:

t_{max}= -\frac{b}{2a}

Where a

In this case the equation is: h = -12t ^ 2 + 456t

Then

a=-12\\b=456\\c=0

So:

t_{max} = -\frac{456}{2*(-12)}

t_{max} =19\ s

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3 years ago
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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
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Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

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