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
Answer:
y = -2x + 4
Step-by-step explanation:
To write an equation in slope-intercept form, y = mx + b, we need to find the slope (m) and the y-intercept (b).
✔️Slope (m) using two pairs of values, (0, 4) and (1, 2):
Slope (m) = change in y/change in x
m = (2 - 4)/(1 - 0) = -2/1
m = -2
✔️y-intercept is the value of y when x = 0. Therefore, fromm the table, when x = 0, y = 4.
y-intercept (b) = 4
✅Write the equation by substituting m = -2 and b = 4 into y = mx + b:
Thus,
y = -2x + 4
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
What’s the correct answer for this question?
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Step-by-step explanation:
GI and JL are parallel lines.
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Answers
Answer:
The answer is A.
Step-by-step explanation:
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Star Me!!!
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r+r+r+r+r+h
Answers
Answer:
r^4+h
Step-by-step explanation:
Simplify:
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Step-by-step explanation:
Use distribute property for the following: (x+3)(x-8) *
Answers
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x² - 5x -24
Step-by-step explanation:
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Answers
5 Students = 3 Teams
7 Students = 2 Teams
To find out the answer we can use the following equation
[tex]\frac{Total}{Students} \\\\\frac{15}{5} = 3 \\\frac{15}{7} = 2.14... \\[/tex]
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:
I'm not sure if it is the correct answer but I believe it is 14
Answer:
14 i think
Step-by-step explanation:
-. For the event of rolling three standard fair 6-sided dice, find the following probabilities. Give all
answers as a simplified fraction.
The probability of rolling a sum of 8 or a sum of 12.
P(Sum is 8 u Sum is 12)
Answers
Answer:
1/6 or 6/36
Step-by-step explanation:
Given the qualifications, there are six qualifying combinations out of the 36 combinations, which simplified, is 1 out of 6.
What numbers are the solutions to this inequality?
q>5^2
Answers
Answer: q= 30
Step-by-step explanation:
Solve for q
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
q>25
Interval Notation:
(25,∞)
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Answers
Answer:
x≤-8
Step-by-step explanation:
Answer:
x ≤ -8
Step-by-step explanation:
Good Luck!
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Answers
Answer:
B + 21
or
21 + B
Step-by-step explanation:
The sum of B and 21
The sum of : means to add B and 21
The algebraic expression would be: B + 21 or 21 + B (depending on how you/your teacher wishes it to be written)
Answer:
21 + b
Step-by-step explanation:
The answer to this expression is the sum of b and 21. The answer is 21 + b.
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Answers
Answer:
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Step-by-step explanation:
The Volume is:
V=a*b*c
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c=9*(1/3) yd
So, V=7 yd^3
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Answers
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Step-by-step explanation:
At 6AM the temperatures was -
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Answers
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Step-by-step explanation:
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Hope this helped! :) let me know if I can help with anything else!
Please!!!!! HELP!!!!!!!!!
Answers
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25 = 2x
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x = 0,8 km
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96*8.125=780cm
4. the are is (base*length)/2
use the same logic of (3) to find the real length of base
5*96=480cm
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Answers
1/2 would equal 4/8 so add that to 3/8 to get 7/8.
I’m not sure if this is what you wanted but uh
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Answers
Answer:
Hi there your question was a little confusing
well I'm using a formula this [tex]X=\sqrt{Y}[/tex]
Hope this helps :)
Step-by-step explanation:
Answer:
[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:
i) By Prime Factorisation
ii) By Long Division
iii) By Repeated subtraction method
✏ By Prime Factorisation:Step I: Obtain the given number.
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.
Step IV: Take one factor from each pair and find the product of these factors.
Step V: The product obtained by multiplying the factors is the required square root.
✏ Long Division:Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.
Step 2: Now we find the largest number whose square is less than or equal to the 1st number.
Step 3: Now we bring down the next bar number.
Step 4: For new divisor, we add the divisor & quotient.
Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.
✏ Repeated subtraction method:In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
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
= 8 + 3
= 11
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.
f(4) = 2(4) + 3
= 8 + 3
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#teamtrees #PAW (Plant And Water)
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
HELPPPPPPPPPPPP PLEASEEEE?
Answers
Answer: V≈56.55
Step-by-step explanation:
V=πr2h
3 = radius
2=height
Fill in the formula = V=πr2h=π·32·2≈56.54867
V≈56.55
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Answers
Answer:
Step 3.
Step-by-step explanation:
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you should get [tex]-3x+(-3)(-5)[/tex].
However, [tex]-3*-5=15[/tex] and not [tex]-15[/tex] because of the double negative.
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Answers
Answer:
19.44 (I think)
Step-by-step explanation:
last two ahh helpp quick
Answers
Answer:
the perimeter is 30ft
Step-by-step explanation:
a square + b square = c square
so first we find your missing side
this is how we solve for that:
a square + 12 squared = 13 squared
a squared + 144 = 169
now we do 169 - 144 = 25
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I hope this helped!
Pls help me if u cannnnnnnnnnnnnnnnnnnnnnnn
Answers
Answer:
1436.03 m³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(14 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {7}^{3} [/tex]
[tex] = \frac{4308.08}{3} [/tex]
[tex] = 1436.0266667...[/tex]
= 1436.03 m³ (rounded to the nearest hundredth)
Andy sold his used bike and accessories for 246. He received 5 times as much money for the bike as he did for the accessories, how much did he receive for the bike
Answers
Answer:
1230 is how much he received for the bike
Step-by-step explanation:
please simplify (2x) ²
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]
Plz help with any problems you can, show work for number 29
Answers
Answer:
For number 13, I think it is rational, integer, and whole number
help me with this math assignment please
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)