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borishaifa [10]
3 years ago
5

The function models the cost, in dollars, of a rug with width x feet. What is the cost of a rug that is 9 feet wide?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0
How is someone supposed to answer this there is no way of telling how much any amount of feet cost because you didn't provide any information
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Find all points on the curve y = cos x, 0 ≤ x ≤ 2π, where the tangent line is parallel to the line y = -x.
andre [41]

Answer:

90⁰

Step-by-step explanation:

y=cosx

y'= -sinx

eqñ of tangent is y=-x

slope of tangent =-1

we know...

slope of tangent = y' or derivative of y

-sin x = -1

sin x= 1

x = 90⁰

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8. To which subsets of the real numbers does the number 13 belong?
Veronika [31]

Answer:

irrational numbers

Step-by-step explanation:

8.

sqrt(13) is not a whole number, a natural number, an integer, or a rational number.

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2 years ago
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determ
Hunter-Best [27]

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

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}.

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that n = 100, \pi = \frac{20}{100} = 0.2

68% confidence level

So \alpha = 0.32, z is the value of Z that has a pvalue of 1 - \frac{0.32}{2} = 0.84, so Z = 0.995.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

4 0
3 years ago
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