A die is rolled 200 times with the following results.Outcome
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?
a.
0.88
c.
0.56
b.
0.34
d.
0.44
Answers
Final answer:
The experimental probability of rolling the given results are: a. 0.16, b. 0.18, c. 0.22, d. 0.1. The correct answer is b. 0.18.
Explanation:
To find the experimental probability of rolling a given result, divide the frequency of that result by the total number of rolls. In this case, the frequency of rolling a 1 is 32, and the total number of rolls is 200. So the experimental probability of rolling a 1 is 32/200 = 0.16. Repeat this process for the other results:
- Experimental probability of rolling a 2: 36/200 = 0.18
- Experimental probability of rolling a 3: 44/200 = 0.22
- Experimental probability of rolling a 4: 20/200 = 0.1
- Experimental probability of rolling a 5: 30/200 = 0.15
- Experimental probability of rolling a 6: 38/200 = 0.19
Based on these calculations, the experimental probability of rolling the given results are:
- a. 0.16
- b. 0.18
- c. 0.22
- d. 0.1
Therefore, the correct answer is b. 0.18.
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Answer: D) 0.44
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Explanation:
Add up all the frequencies that correspond to outcomes that are more than 3
So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88
We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.
The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44
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P=3a+2b2 Make a the subject of the formula
Is that the correct answer
Answers
Answers
To calculate the z-statistic, we must first calculate the standard error.
Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 2.68.
The z-score is defined the distance from the sample to the population mean in units of standard error.
z = (195 – 208)/2.68 = -4.86
Answer:
The answer is B
Step-by-step explanation:
edge 2020
Answers
Technically we want to take a square root of this expression to find the length of one side of the square but we will check first whether factorising will give us equal roots
As we see that by factorising gives us
correct answer is
B)4x – 5
Answers
-8, -6, -4, -2, ...
2, 4, 8, 16, ...
Answers
Answer B
x - 2y + 3z = 7
x + 2y - 5z = -21
a)(2, 3, 5)
b)(-2, 3, 5)
c)(2, -3, 5)
d)(2, -3, 5)
Answers
1x - 2y + 3z = 7 ⇒ 1x - 2y + 3z = 7
1x + 2y - 5z = -21 5y - 4z = -5
5y - 4z = -5 ⇒ -20y + 16z = 20
1x + 3y - 1z = 2 -4y + 8z = -28 ⇒ -20y - 40z = -140 1x - 2y + 3z = 7 ⇒ 1x - 2y + 3z = 7 -24z = -120
1x + 2y - 5z = -21 ⇒ 1x + 2y - 5z = -21 -24 -24
-4y + 8z = -28 z = 5
5y - 4(5) = -5
5y - 20 = -5
+20 +20
5y = 15
5 5
y = 3
x + 3(3) - 5 = 2
x + 9 - 5 = 2
x + 4 = 2
-4 -4
x = -2
(x, y, z) = (-2, 3, 5)
The solution to the answer is B. (-2, 3, 5).