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3 years ago

Final part of the day, 10! Giving brainliest! Define, mean, median, and mode correctly.

Mathematics

2 answers:

Yuki888 [10]3 years ago

8 0

Answer:

The mean is the arithmetic average of a set of given numbers. The median is the middle score in a set of given numbers. The mode is the most frequently occurring score in a set of given numbers

Step-by-step explanation:

nalin [4]3 years ago

8 0

Mean: the sum of all values divided by the number of values

Mode: the value that appears the most in the data set

Median: the value separating the higher half from the lower half

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3 years ago

Solve the equation sin2x = 3cos2x. The value of x that satisfies the equation if x lies in the second quadrant is °. The value o

faltersainse [42]

Answer:

$126\degree$

and

$126\degree$

respectively.

Step-by-step explanation:

The given trigonometric equation is

$\sin2x=3\cos2x$

We divide both sides by $\cos2x$ to get,

$\frac{\sin2x}{\cos2x}=3$

This implies that,

$\tan2x=3$

We take the inverse tangent of both sides to get,

$2x=\tan^{-1}(3)$

$\Rightarrow 2x=71.565$

$\Rightarrow x=35.7825$

$\Rightarrow x\approx 36\degree$

Since the tangent ratio has a period of $180\degree$ , another solution is

$x=180+36$

$x=216\degree$ to the nearest degree.

In the third quadrant,

$2x=180+71.565$

$\Rightarrow 2x=251.565$

$\Rightarrow x=125.7825$

$\Rightarrow x=126\degree$

The solutions are

$x=36\degree,126\degree,216\degree$

The value of x that satisfies the equation if x lies in the second quadrant is $126\degree$

The value of x that satisfies the equation if x lies in the third quadrant is $216\degree$

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3 years ago