Based on the dot plots predict whether the mean or median will be greater for each data set.

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Hi can you answer my question I am giving away 44 points

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Each line represents a proportional relationship. Write an equation for each line. Show your work.

Semenov [28]

Answer:

The answer is in the picture. I hope it is helpful.

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3 years ago

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The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in <em>fourth</em> quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in <em>4th quadrant </em>so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

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3 years ago

What is the difference?

matrenka [14]

Answer:

The Difference in mathematical terms is the result of subtracting one number from another.

Step-by-step explanation:

I'm not sure if you were looking for the definition of difference or the difference between two things (in which an image would be needed). Hopefully this helped, apologies if not.

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3 years ago

7800 nm + 95 pm in scientific notation

azamat