“76 is 60% of what?” Help!

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

Serhud [2]

Answer:

Step-by-step explanation:

A) $(tanx-4)(9sin^2x-1)=0\\\\\\$

$9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}$ or $sinx=\frac{-1}{3}$

OR $tanx=4\\$

B)

$3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}$

3 0

2 years ago

What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?

valina [46]

Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²

Now the equation is in the form (x - h)² + (y - k)² = r²

Radius = 10

7 0

3 years ago

Find the area of the square in inches2 and enter your answer below. Do not include units in your answer.

saveliy_v [14]

Answer:

11.56

Step-by-step explanation:

The area formula is just Length * Height. Since this shape is a square, both the length and height are equivalent to the same thing, 3.4. So, all we have to do is multiply 3.4 * 3.4, or we can do 3.4^2.

3 0

2 years ago

If n = 8 and 16 • 2m = 4n – 8, then m = ?

max2010maxim [7]

Answer:

m = 0.75

Step-by-step explanation:

16 x 2m = 4x8 - 8

32m = 24

m = 24/32

5 0

3 years ago

The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th

zlopas [31]

Answer:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)$

And we can find this probability with the complement rule:

$P(Z>-1)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,2)$