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quester [9]
3 years ago
7

According to the general equation for conditional probability, if P(A upside down u B)= 5/7 and P(B)=7/8 , what is P(A|B)?

Mathematics
1 answer:
natta225 [31]3 years ago
7 0
P(A | B) = \frac{P(A \cap B)}{P(B)}


P(A|B) = \frac{5/7}{7/8}


P(A|B) = \frac{5}{7} \div \frac{7}{8}


P(A|B) = \frac{5}{7}\times\frac{8}{7}


P(A|B) = \frac{5*8}{7*7}


P(A|B) = \frac{40}{49}
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MrMuchimi

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

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3 years ago
It is given that A is directly proportional to r2 and r> 0. When r=5, A=75.
torisob [31]

Answer:

see explanation

Step-by-step explanation:

Given A is directly proportional to r² then the equation relating them is

A = kr² ← k is the constant of proportion

To find k use the condition when r = 5, A = 75 , then

75 = k × 5² = 25k ( divide both sides by 25 )

3 = k

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(a)

when r = 4, then

A = 3 × 4² = 3 × 16 = 48

(b)

when A = 147 , then

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3 0
3 years ago
For 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
gregori [183]

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.

6 0
3 years ago
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Alex787 [66]

Answer:

The answer is D

Step-by-step explanation:

7 0
3 years ago
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