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kumpel [21]
3 years ago
14

How do you use a tree diagram to determine the expected value

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Step 1:Draw lines to represent the first set of options in the question (in our case, 3 factories). Label them (our question list A B and C so that is what we’ll use here).

Step 2: Convert the percentages to decimals, and place those on the appropriate branch in the diagram. For our example, 50% = 0.5, and 25% = 0.25.

Step 3: Draw the next set of branches. In our case, we were told that 70% of factory A’s output was passenger. Converting to decimals, we have 0.7 P (“P” is just my own shorthand here for “Passenger”) and 0.3 NP (“NP” = “Not Passenger”).

Step 4:Repeat step 3 for as many branches as you are given.


Step 5: Multiply the probabilities of the first branch that produces the desired result together. In our case, we want to know about the production of passenger places, so we choose the first branch that leads to P.

Step 6: Multiply the remaining branches that produce the desired result. In our example there are two more branches that can lead to P.

Step 6: Add up all of the probabilities you calculated in steps 5 and 6. In our example, we had:

.35 + .0625 + .0625 = .475

That’s it!



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4 0
3 years ago
Rewrite each fraction in simplest form using the GCF of the numerator and denominator.
Elanso [62]

Answer:

\sf 6. \quad \dfrac{7}{10}

\sf 7. \quad \dfrac{5}{17}

Step-by-step explanation:

<h3><u>Question 6</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

  • 42 = 2 × 3 × 7
  • 60 = 2 × 2 × 3 × 5

42 and 60 share one 2 and one 3 in common.

Multiply them together to get the GCF:  2 × 3 = 6.

Therefore, 6 is the GCF of 42 and 60.

Divide the numerator and the denominator by the found GCF:

\implies \sf \dfrac{42 \div 6}{60 \div 6}=\dfrac{7}{10}

<h3><u>Question 7</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

  • 80 = 2 × 2 × 2 × 2 × 5
  • 272 = 2 × 2 × 2 × 2 × 17

80 and 272 share four 2s in common.

Multiply them together to get the GCF:  2 × 2 × 2 × 2 = 16.

Therefore, 16 is the GCF of 80 and 272.

Divide the numerator and the denominator by the found GCF:

\implies \sf \dfrac{80 \div 16}{272 \div 16}=\dfrac{5}{17}

5 0
1 year ago
Read 2 more answers
-4^6•4^2/4^4<br><br> Simplify
elena-14-01-66 [18.8K]

Answer:

-4^{4}

Step-by-step explanation:

Reduce the expression -4^2×4^2

Calcualte the product and you get -4^4

If you want the alternative form is will be -256

Hope this helpsʕ•ᴥ•ʔ

6 0
3 years ago
To which set does -1/2 belong? A whole numbers only B rational numbers only
Jlenok [28]

Answer:

B

Step-by-step explanation:

Because -1/2 is not a whole number so b is the only answer left

8 0
3 years ago
Read 2 more answers
NEED ANSWER ASAP TYY SO MUCH IN ADVANCE
ratelena [41]

Answer:

13.70

Step-by-step explanation:

a^2+b^2=c^2

a = side 1

b = side 2

c = hypotenuse

9.2^2 + b^2 = 16.5^2

272.25 - 84.64 = 187.61 =b^2

√187.61 = b = 13.697 = 13.70

8 0
2 years ago
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