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harina [27]
3 years ago
13

Given A(5, –2), what are the coordinates of (T⟨−3, 4⟩∘ Rx-axis)(A)?

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

Answer:

not sure

Step-by-step explanation:

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Let Y1 and Y2 have the joint probability density function given by:
Ann [662]

Answer:

a) k=6

b) P(Y1 ≤ 3/4, Y2 ≥ 1/2) =  9/16

Step-by-step explanation:

a) if

f (y1, y2) = k(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1,  0, elsewhere

for f to be a probability density function , has to comply with the requirement that the sum of the probability of all the posible states is 1 , then

P(all possible values) = ∫∫f (y1, y2) dy1*dy2 = 1

then integrated between

y1 ≤ y2 ≤ 1 and 0 ≤ y1 ≤ 1

∫∫f (y1, y2) dy1*dy2 =  ∫∫k(1 − y2) dy1*dy2 = k  ∫ [(1-1²/2)- (y1-y1²/2)] dy1 = k  ∫ (1/2-y1+y1²/2) dy1) = k[ (1/2* 1 - 1²/2 +1/2*1³/3)-  (1/2* 0 - 0²/2 +1/2*0³/3)] = k*(1/6)

then

k/6 = 1 → k=6

b)

P(Y1 ≤ 3/4, Y2 ≥ 1/2) = P (0 ≤Y1 ≤ 3/4, 1/2 ≤Y2 ≤ 1) = p

then

p = ∫∫f (y1, y2) dy1*dy2 = 6*∫∫(1 − y2) dy1*dy2 = 6*∫(1 − y2) *dy2 ∫dy1 =

6*[(1-1²/2)-((1/2) - (1/2)²/2)]*[3/4-0] = 6*(1/8)*(3/4)=  9/16

therefore

P(Y1 ≤ 3/4, Y2 ≥ 1/2) =  9/16

8 0
3 years ago
Which of the following sets of angle measures can be used to draw an acute isosceles triangle? Select all that apply. 75°, 30°,
SCORPION-xisa [38]

Answer:

1. 80°, 80°, 40°

2. 60°, 60°, 60°

3. 20°, 140°, 20°

4. 50°, 50°, 80°

5. 75°, 30°, 75°

6. 80°, 55°, 45°

6, 2, and 4

4 0
3 years ago
Read 2 more answers
Can someone answer the latest question on my profile​
Morgarella [4.7K]

Answer:

I will take a look

Step-by-step explanation:

please mark me brainliest here ;)

4 0
3 years ago
Which expressions are equivalent to<br>-6 +49 + (-69) ?​
kiruha [24]

Answer:

-26

Step-by-step explanation:

-6+49+(-69)

43+(-69)

43-69

-26

3 0
3 years ago
3.5^1.6 <br>round answer to nearest thousandth​
Dmitriy789 [7]

The answer would be 7.42

Use desmos online calculator

5 0
3 years ago
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