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3 years ago

What is the integral of y'sinx=ylny ...?

1 answer:

3 0

Y'sinx=ylny, is equivalent to dy / dx (sinx=ylny, and dy sinx=ylny dx
it is similar to dy/ylny = dx/sinx
so integral (dy/ylny = integral dx/sinx)
integral dx/sinx)= Ln{abs value ( tan(x /2 + pi /4)}
integral (dy/ylny= ln(lny)
final answer is lny = {abs value ( tan(x /2 + pi /4)}+C, you can find y, or x

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Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5

Ugo [173]

Answer:

$s^2 = 0.01$

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$

First, we calculate the mean

$\overline x = \frac{\sum x}{n}$

$\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}$

$\overline x = \frac{7.4}{4}$

$\overline x = 1.85$

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$ becomes

$s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}$

$s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}$

$s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}$

$s^2 = \frac{0.03}{3}$

$s^2 = 0.01$

Hence, the variance is 0.01

5 0

2 years ago

Can someone help please ? Answer correctly for brainliest and a thanks ! Don't answer if you don't know it please !

professor190 [17]

The first one would be approximately -0.8. It has a negative slope and the data points are fairly close together. The second one is almost a straight line so it would be very close to 1. I would say 0.97 The closer the data is to a straight line the closer the r value is to 1 or negative 1. Hope this helps.

6 0

3 years ago

Solve the inequality -5y-7<28

slava [35]

Answer: IDK sssrry

Step-by-step explanation:

3 0

3 years ago

What is 3/8 + 1/8?? Please help its for a test

Grace [21]

Answer:

1/2 is the answer