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aalyn [17]
3 years ago
7

3x+2y=3y line 1 x+y=10 line 2 solve for x/y

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

Answer:

x/y=1/3

Step-by-step explanation:

3x+2y=3y

x+y=10

---------------

3x=3y-2y

3x=y

x+3x=10

4x=10

x=10/4=5/2

5/2+y=10

y=10-5/2=20/2-5/2=15/2

x/y=(5/2)/(15/2)=(5/2)(2/15)=5/15=1/3

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Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following
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Answer:

Step-by-step explanation:

Given that  the random variable X is normally distributed, with

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Then we have z= \frac{x-50}{7} is N(0,1)

Using this and normal table we find that

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b) When z=0.02

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Help with question on Complementary and Supplementary Angles
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Step-by-step explanation:

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Olivia are two times as much salad as Reagan. If Reagan ate R salad, which equation can be used to find the amount of salad Oliv
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While standing on top of a hill at a ski resort, Alexa Latour spots the ski lodge below. If the vertical height of the hill is 1
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Answer: The distance to the lodge is 1514 ft

Step-by-step explanation: Please refer to the diagram attached.

The point where Alexa is standing at the top of the hill is marked as point A. The vertical height of the hill is from point A to point B which has been given as 1209 ft. Also, when Alexa looks down, she does that at an angle of depression measuring 53 degrees. Therefore while looking at the lodge, she forms an angle between her line of sight and the height of the hill. That angle is calculated as 90 degrees minus 53 degrees and that equals 37 degrees (as shown in the diagram). Note that her line of sight is AC since the ski lodge is at point C. Therefore the distance she must ski in order to get to point C (which shall be represented by X) shall be calculated using trigonometric ratios.

Note that we have a reference angle which is 37. We also have an adjacent which is 1209 (the side that lies between the reference angle and the right angle). And then we want to calculate the hypotenuse, yet unknown, (which is the side facing right angle). Since we have an adjacent, a hypotenuse and the reference angle, X can be calculated as

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