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Orlov [11]
3 years ago
7

Suppose P(C|D)=0.59, P(D)=0.44, and P( D|C)=0.38. What is P(C) rounded to two decimal places?

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0
From the information given.
P(CΙD) = P(C∩D)/P(D)
P(DΙC) = P(C∩D)/P(C)
Therefore;
P(C∩D) = P(CΙD) × P(D)= P(DΙC) ×P(C)
P(C∩D)= 0.59×0.44
             = 0.2596
P(C) = P(C∩D)/P(DΙC)
        =  0.2596/0.38
        = 0.68316
        ≈ 0.68
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Using Order of Operations (PEMDAS), solve the following two expressions. Show all steps.
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Answer:

A:

Multiple: 3 * 5 = 15

Add: 7 + the result of step No. 1 = 7 + 15 = 22

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 22 - 2 = 20

Add: the result of step No. 4 + 3 = 20 + 3 = 23

B:

Add: 7 + 3 = 10

Multiple: the result of step No. 1 * 5 = 10 * 5 = 50

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 50 - 2 = 48

Add: the result of step No. 4 + 3 = 48 + 3 = 51

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Hazel knits 5 centimeters of scarf eachnight. After 5 nights of knitting, how manycentimeters of scarf will Hazel have knit into
natta225 [31]

Answer:

Hazel will have knitted 25 centimeters of the scarf

SOLUTION

Problem Statement

We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.

Solution

We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.

Let us count for each night.

Night 1:

Hazel makes 5 centimeters of the scarf.

Night 2:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (5+5)\text{centimeters} \\ =10\text{ centimeters} \end{gathered}

Night 3:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (10+5)\text{centimeters} \\ =15\text{ centimeters} \end{gathered}

NIght 4:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (15+5)\text{centimeters} \\ =20\text{ centimeters} \end{gathered}

NIght 5:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (20+5)\text{centimeters} \\ =25\text{ centimeters} \end{gathered}

Final Answer

Thus, Hazel will have knitted 25 centimeters of the scarf

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a fireplace contains 46 bricks along its bottom row. if each row above decreases by 4 bricks, what is the function that shows th
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\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
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\end{cases}
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