Let event A be the coin landing on heads and let event B be rolling a 5 on a six-sided die.
Events A and B are independent if, and only if:
It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.
Answer:
1920 cubes.
Step-by-step explanation
Turn both the mix numbers into improper fractions.
2 2/5 = 12/5
3 1/5 = 16/5
Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.
12/5 * 5/1 = 12
16/5 * 5/1 = 16
2 * 5 = 10
Next you multiply all together to get 1920 cubes.
(I could be missing a step. I apologize if I did.)
3x -1/2y = -7/2
x = -2y + 1
3 (-2y + 1) -1/2y = -7/2
-6y +3 -1/2y = -7/2
-13/2y = -13/2
y = 1
x = -2(1) + 1
x = -1
Answer = (-1, 1)
X = 6
9/12 = 0.75
6/8 = 0.75
Answer:
Asnwer is A
Step-by-step explanation:
since the correlation between the FFQ and DR is 0.89
x y xy 
8.26 1.68 13.8768 68. 2276 2.8224
0.83 0 0 06889 0
20.13 15.1 303.963 405.2169 228.01
11.16 7.49 83.5884 124.5456 56.1001
7.18 12.84 92.1912 51.5524 164.8656
1.76 0 0 3.0976 0
22.46 25.06 567.8596 513.4756 628.0036
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∑
= ∑
= ∑
= ∑
= ∑
=
71.98 62.17 1061.479 1166.8046 1079.8017
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Correlation Coefficient or Pearson Correlation is given by:
the rest calculation is in the attached image
