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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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Step-by-step explanation:
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F(x) = 2x + 3, Find the value of f(4)
Answers
Answer:
f(X)=2x+3
Step-by-step explanation:
f(4) = 2*4 + 3
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Answer and Step-by-step explanation:
For this function, we need to plug in 4 for x to find out what the value of f(x) is when x is equal to 4.
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Answers
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Step-by-step explanation:
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Inequality Form:
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Interval Notation:
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Answers
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If you run into a decimal number, like we did when we had a team of 7, you can just round down!
Answer:
3
Step-by-step explanation:
least students= 5
maximum students = 7
total number of students = 15
no: of grps if 5 students per grp = 15/5 = 3
no: of grps if 7 students per grp = 15/7 = 2.14 ~ 2
However, if they ask us how many teams in final we can say 3 as it is the maximum number of groups that can be formed b a grp of 15 students ... if we make 7 students per grp... one would be left out .
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Answers
Answer:
7 yd^3
Step-by-step explanation:
The Volume is:
V=a*b*c
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b=3*(1/3) yd
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Answer:
Step 3.
Step-by-step explanation:
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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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Answer:
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Step-by-step explanation:
Answer:
[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
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Answer:
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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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B + 21
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Step-by-step explanation:
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Answers
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5x = 2*2
x = 0,8 km
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Answers
1/2 would equal 4/8 so add that to 3/8 to get 7/8.
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Answers
Answer:
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Step-by-step explanation:
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B.
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Answers
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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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Answers
Answer:
x=4√−0.45068027,−4√0.45068027
Step-by-step explanation:
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!
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Answers
Answer:
[tex]4x^{2}[/tex]
Step-by-step explanation:
Answer:
4[tex]x^{2}[/tex]
Step-by-step explanation:
Apply the product rule to 2x.
[tex]2^{2}[/tex] [tex]x^{2}[/tex]
Raise 2 to the power of 2.
[tex]4x^{2}[/tex]
You invest $25,000 at 12% for 30 years, find the total balance
Answers
Answer:
115000
Step-by-step explanation:
25000 x .12 = 3000
3000 x 30 = 90000
90000 + 25000 = 115000