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3 years ago

Mean median and mode of 12,14,17,19,9,12,7,19,8

Mathematics

2 answers:

Vanyuwa [196]3 years ago

7 0

Median; 12
mean; 13
mode; 12, 19

Artyom0805 [142]3 years ago

6 0

Mean is 13
median is 9
mode is 12 and19

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Θ is in Quadrant III and cos^2 0= 1/4

pychu [463]

I think you mean to say $\cos^2\theta=\dfrac14$ . If $\theta$ is in the third quadrant, then $\sin\theta$ and $\cos\theta$ . Recall that

$\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}$

We expect $\sin\theta$ to be negative, so we take the negative root. We end up with

$\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2$

We also know to expect $\cos\theta$ , so

$\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12$

By definition, we have

$\cot\theta=\dfrac{\cos\theta}{\sin\theta}$

and so

$\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

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3 years ago

Samin can run 5 kilometers in 30 minutes. Assuming she keeps a constant pace, how many kilometers can she run in 45 minutes? URG

bulgar [2K]

Answer:

7.5kilometer

Step-by-step explanation:

for 30mins semin runs 5kilometer

then for 1min: (1min×5kilometer)÷30mins,

therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer

3 0

3 years ago

Read 2 more answers

Solve for x: −3(x + 3) = −3(x + 1) − 5.

erastova [34]

-3(x+3)= -3(x+1)-5
-3x+9=-3x+3-5
so you would have just distributed then you combine like terms and get
-3x+9=-3x-2
then add two to both sides and get
-3x+9=-3x-2
-3x+2=-3x+2
-3x+11=-3x
+3x+11=+3x
0x+11=0x
so 11+0x
divide both by zero and you get x+0

4 0

3 years ago

jill and kyle get paid per project. jill is paid a project fee of $25 plus $10.50 per hour. kyle is paid a project fee of $18 pl

AysviL [449]

Answer:

The company will pay 43 + 24h dollars to hire both Jill and Kyle your welcome

Step-by-step explanation:

4 0

2 years ago

)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitutio

Ira Lisetskai [31]

Hi there,

Take y from first equation and use it / substitute it into the second equation:

-2x + 8 = x - 1, so 3x = 9, therefore x = 3.

Then y = x - 1 = 3 - 1 => y = 2.

Solution is (3,2).

A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.

Green eyes.

5 0

3 years ago