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kipiarov [429]
3 years ago
14

Solve for x. round to the nearest ten

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

499

Step-by-step explanation:

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(a) Let {A1, A2} be a partition of a sample space and let B be any event. State and prove the Law of Total Probability as it app
Nataliya [291]

Answer:

0.625

Step-by-step explanation:

Given that {A1, A2} be a partition of a sample space and let B be any event. State and prove the Law of Total Probability as it applies to the partition {A1, A2} and the event B.

Since A1 and A2 are mutually exclusive and exhaustive, we can say

b) P(B) = P(A1B)+P(A2B)

Selecting any one coin is having probability 0.50. and A1, A2 are events that the coins show heads.P(B/A1) = 0.50 \\P(B/A2) = 0.75\\P(A1B) = 0.5(0.5) = 0.25 \\P(A2B) = 0.75(0.5) = 0.375\\P(B) = 0.625

c) Using Bayes theorem

conditional probability that it wasthe biased coin

=\frac{0.375}{0.625} \\=\frac{3}{5}

d) Given that the chosen coin flips tails,the conditional probability that it was the biased coin=\frac{0.25*0.5}{0.25*0.5+0.5*0.5} \\=\frac{1}{3}

7 0
3 years ago
What is the conjugate of 8-7i?
Natali [406]

Answer:

8 + 7i

Step-by-step explanation:

Change the sign of the imaginary part.

The conjugate of 8 - 7i is 8 + 7i.

5 0
3 years ago
In triangle ABC we have angle C = 3 times angle A, a=27 and c=48 What is b? Note: a is the side length opposite A etc. please he
Dima020 [189]

Answer:

  35

Step-by-step explanation:

The law of sines tells us ...

  sin(C)/c = sin(A)/a

  a·sin(3A) = c·sin(A)

Using the identity sin(3x) = 3cos(x)·sin(x) -sin(x)^3 and sin(x)^2 +cos(x)^2 = 1, we can simplify this to ...

  sin(A)(4cos(A)^2 -1) = (c/a)sin(A)

  4cos(A)^2 = c/a +1 = (48+27)/27 = 75/27 = 25/9

  cos(A)^2 = 25/36

  cos(A) = 5/6

__

Now, the angle B will be the difference between 180° and the sum of the other two angles:

  B = 180° -A -3A = 180° -4A

Using appropriate trig identities, we can write ...

  sin(B) = 4cos(A)^3sin(A) -4sin(A)^3cos(A)

  = 4sin(A)cos(A)(cos(A)^2 -sin(A)^2)

  = 4sin(A)cos(A)(2cos(A)^2 -1)

Filling in our value for cos(A), this becomes ...

  sin(B) = 4sin(A)(5/6)(2(5/6)^2-1) = sin(A)(35/27)

__

The law of sines tells us ...

  b/sin(B) = a/sin(A)

  b = a·sin(B)/sin(A) = 27(35/27)sin(A)/sin(A) = 35

The length of side b is 35 units.

6 0
3 years ago
Shhhh Help me and you get Star ratings
san4es73 [151]

Answer: find the measure of <6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What part of 72 is 12
vladimir2022 [97]

Answer:

6 part.......................bcoz 72/12 = 6

4 0
3 years ago
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