Help me out please!!

Mathematics

1 answer:

AleksAgata [21]2 years ago

5 0

Step-by-step explanation:

1. $(fg)' = f'g + fg'$ (chain rule)

2 $f(x) = x^5\sin{x}$

$\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}$

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How much greater is the area of a square with a side length of 9 inches than the area of a circle with a radius of 3 inches?

fredd [130]

The area of the square is 81 sq in, and the area of the circule is (3.14)(3 in)^2, or approx 3.14(9) sq in, or approx 28.27 sq in.

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3 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

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:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

$n = 1537, \pi = \frac{353}{1537} = 0.2297$