app 19.study
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Probability
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.
Complete the table below.
0.232
37
24
0.176
18
0.048
0.104
22
Result of Roll
Frequency
Experimental
Probability
1
2
13
3
0.144
4
29
5
0.296
6
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Answers
Answer:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 125[/tex]
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
[tex]Pr = \frac{Frequency}{n}[/tex]
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]
[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]
[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]
When the frequency is to be calculated, we use:
[tex]Pr = \frac{Frequency}{n}[/tex]
[tex]Frequency = n * Pr[/tex]
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
[tex]Frequency(3) = 125 * 0.144 = 18[/tex]
[tex]Frequency(5) = 125 * 0.296 = 37[/tex]
For roll of 1 where the frequency and the probability are not known, we use:
[tex]Total \ Frequency = 125[/tex]
So:
Frequency(1) added to others must equal 125
This gives:
[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]
[tex]Frequency(1) + 103 = 125[/tex]
Collect like terms
[tex]Frequency(1) =- 103 + 125[/tex]
[tex]Frequency(1) =22[/tex]
The probability is then calculated as:
[tex]Pr(1) = \frac{22}{125}[/tex]
[tex]Pr(1) = 0.176[/tex]
So, the complete table is:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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maximum students = 7
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Answers
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
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Answer:
Hi there your question was a little confusing
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Step-by-step explanation:
Answer:
[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
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Step II: Reduce the given number into prime factors by successive division.
Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.
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ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
A.
1. No
2. Yes, 6*6=36
3. Yes, 7*7=49
4. No
5. Yes, 11*11=121
6. Yes, 13*13=169
7. Yes, 20*20=400
8. No
B.
1. 8
2. 10
3. 9
4. 4
5. 2
6. 0
7. 5
8. 12
C.
1. 11.4
2. 2.8
3. 9.2
4. 6.3
5. 4.9
6. 10.5
D.
1. rational
2. rational
3. irrational
4. rational
5. irrational
6. irrational
7. rational
8. rational
9. rational
10. rational
11. irrational
12. irrational?
Answer:
A1. No (4 more than 4²)
A2. Yes - 6 * 6 = 36
A3. Yes - 7 * 7 = 49
A4. No (4 more than 8²)
A5. Yes - 11 * 11 = 121
A6. Yes - 13 * 13 = 169
A7. Yes - 20 * 20 = 400
A8. No (6 more than 12²)
B1. 8
B2. 10
B3. 9
B4. 4
B5. 2
B6. 0
B7. 5
B8. 4
C1. 11.4
C2. 2.8
C3. 9.2
C4. 6.3
C5. 4.9
C6. 10.5
D1. Rational
D2. Rational
D3. Irrational (closest rational (2 decimal places) is -1.41)
D4. Rational
D5. Irrational (closest rational (2 decimal places) is 2.23)
D6. Irrational (closest rational (2 decimal places) is 3.14)
D7. Rational
D8. Rational (simplifies to 4)
D9. Rational
D10. Rational (same as 0.75)
D11. Irrational (because of the dots)
D12. Rational (5/13 pattern goes like this: 384615)
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5.5 + 7 [(6.3 + 2.1) X 4+ (10 – 4) = 21
Answers
Answer:
x=4√−0.45068027,−4√0.45068027
Step-by-step explanation:
The volume for a cylinder is given by the formula V = 72, where r is the radius of the cylinder and h is the height of the cylinder.
If the volume of a cylinder with a height of 3 centimeters is 363 7 cubic centimeters, then what is the radius of the cylinder?
A. 60.5 cm
B.
11 cm
C.
121 cm
D. 33 cm
Answers
At 6AM the temperatures was -
4.05° F. By Noon, the
temperature had risen 16.3 ° F.
What was the temperature at
noon?
Answers
Answer: 12.25
Step-by-step explanation:
-4.05+16.3
Hope this helped! :) let me know if I can help with anything else!