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lina2011 [118]
3 years ago
6

Which equation is graphed here?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

y+4=-3/2(x-2) is the answer

Step-by-step explanation:

Again over here just use the y=mx+c

m which is the slope is change in y over change in x which in this case is \frac{-3}{2} so which just that we can cross out the first option for the answer secondly to be able to find C just take literally any point from the graphed line, for instance we take (-2,2), just add it in the equation and solve for C

2=-\frac{3}{2}(-2)+c\\2=3+c\\0=3-2+c\\c=-1

y=-3/2-1

Now all you have to see is which of the three equations is equivalent to the one we just found

y+4=-3/2(x-2) is the answer :)

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Box 1 contains 1000 lightbulbs of which 10% are defective. Box 2 contains 2000 lightbulbs of which 5% are defective. (a) Suppose
mojhsa [17]

Answer:

a) There is a 66.7% chance that you were given box 1

b) There is a 80% chance that you were given box 1

Step-by-step explanation:

To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.

a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.

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Box 2 = 1/2

From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%

b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.

Box 1 = 1/10^2 = 1/100

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As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%

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3 years ago
I Think it’s D, This is my Final Test is D Right?
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Step-by-step explanation:

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PLEASE PLEASE HELP ​
nekit [7.7K]

Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

c^2 = a^2 + b^2 - 2abCos C

Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

c^2 = 6400 + 5625 - 12000Cos 138

c^2 = 6400 + 5625 - 12000 × -0.7431

c^2 = 12025 + 8917.2

c = √20942.2 = 144.7

To determine A, we will apply sine rule

a/SinA = b/SinB = c/SinC. Therefore,

80/SinA = 144.7/Sin 138

80Sin 138 = 144.7 SinA

SinA = 53.528/144.7 = 0.3699

A = 21.7 degrees

Therefore, theta = 90 - 21.7

= 68.3 degees

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