Third derivative of xsinx?

Mathematics

1 answer:

Brut [27]3 years ago

6 0

Hello here is a solution :
f(x) = xsin(x)
f'(x) =( x)'sin(x) +x(sin(x))'
f'(x) = 1. sin(x)+x cos(x)

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According to a social media blog, time spent on a certain social networking website has a mean of 22 minutes per visit.Assume th

galina1969 [7]

Given:

Mean, μ = 22

Standard deviation, σ = 7

Let's answer the following questions.

a. Given:

Sample size, n = 25

Let's find the probability that the sample mean is between 21.5 and 22.5.

We have:

$\begin{gathered} P(21.5Thus, we have:[tex]\begin{gathered} P(\frac{21.5-22}{\frac{7}{\sqrt[]{25}}}Using the standard normal table (NORMSDIST), we have:[tex]\begin{gathered} P(0.3571)=0.6395 \\ P(-0.3571)\text{ = }-0.3605 \\ \\ P(1.7857)-P(-0.3571)=0.6395-0.3605=0.279 \end{gathered}$

Therefore, the probability that sample mean is between 21.5 and 22.5 is 0.279

b. Given:

n = 25

Let's find the probability that the sample mean is between 21 and 22 minutes.

We have:

[tex]\begin{gathered} P(21Using the standard normal table, we have:[tex]\begin{gathered} P(-0.714286Therefore, the probability that sample mean is between 21 and 22 is 0.2625

c. Given:

n = 144

Let's find the probability the sample mean is between 21.5 and 22.5

[tex]\begin{gathered} P(21.5Therefore, the probability that sample mean is between 21.5 and 22.5 given a sample of 144 is 0.6086

d. Given:

Sample size in a = 25

Sample size in c = 144

The sample size in c is greater than the sample size in a so the standard error of the mean in (c) should be less than the standard error in (a).

As the standard error values become more concentrated

5 0

2 years ago

plz help I will mark brainliest if I can