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kaheart [24]
3 years ago
15

Take two orthogonal vectors u, v ε R". u v, and let X = (Xi, , X,) be a vector of n iid standard Gaussians. Xi ~ N(0, 1), yl E「r

). Let llr-〈II, X〉 and vr-(v, X〉, Are ux and vr independent? Hin: First try to see if they are correlated; you may use the fact that jointly normal random variables are independent iff. they are uncorrelated.

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

Attached is the complete solution.

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Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

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3 years ago
Jonathan and Tim want to predict how many quarters are in a large jar containing 120 coins. Jonathan randomly selects a sample o
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Tim's sample should be more accurate

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3 years ago
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What is the value of x in the equation? <br> 2/3 (x + 6) = -18
Law Incorporation [45]
The answers to the question is -33
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3 years ago
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A radio station advertised the Olympia Marathon by saying that about 12,000,000 calories would be burned in one day. If there we
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I THINK THE ANSWERE IS =B

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2 years ago
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Find the point on the line and the lines slope y+1=-3/2(x+7)
klemol [59]

Answer:

A point on the line would be (-3, -7) and the slope if -3/2

Step-by-step explanation:

We can find a point on the line by choosing any value for x and putting it in to the equation. Then we can find the y value. For the purpose of this problem, we will use x = -3.

y + 1 = -3/2(x + 7)

y + 1 = -3/2(-3 + 7)

y + 1 = -3/2(4)

y + 1 = -6

y = -7

And we can find the slope simply by looking for the number outside of the parenthesis on the right side of the equal sign (-3/2)

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