Cos x + square root 3 = -cos x
1 answer:
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Answer:
Complete Table:
Result of Roll ------ Frequency ------- Experimental Probability
1 --------------------------- 22 ------------------- 0.176
2 --------------------------- 13 ------------------- 0.104
3 --------------------------- 18 ------------------- 0.144
4 --------------------------- 29 ------------------- 0.232
5 --------------------------- 37 ------------------- 0.296
6 --------------------------- 6 ------------------- 0.048
Step-by-step explanation:
Required: Complete the table
The table is divided into 3:
1. Result of Roll
2. Frequency (F)
3. Experimental Probability (P)
The relationship between (2) and (3) is:
Where
N = Number of Rolls
N = 125
For Roll of Result = 2
Frequency = 13
The probability is calculated as thus:
For Roll of Result = 3
Probability = 0.144
The Frequency is calculated as thus:
For Roll of Result = 4
Frequency = 29
The probability is calculated as thus:
For Roll of Result = 5
Probability = 0.296
The Frequency is calculated as thus:
For Roll of Result = 6
Frequency = 6
The probability is calculated as thus:
For Roll of Result = 1.
To get the frequency; we subtract the sum of frequencies of roll of results 2 to 6 from the total number of rolls.
In other words:
Frequency of 1 = Total Rolls - (Frequency of 2 + Frequency of 3 + Frequency of 4 + Frequency of 5 + Frequency of 6)
Frequency of 1 = 125 - (13 + 18 + 29 + 37 +6)
Frequency of 1 = 125 - 103
Frequency of 1 = 22
The probability is calculated as thus:
Answer:
Henry will need 6 pints of red color.
All together he will need 15 pints.
Step-by-step explanation:
Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange.
The ratio is 2:3
Now he uses 9 pints of yellow paint so we need to find the pins of red paint used to get the same orange.
Let the pints of red paint be x
We can relate this as:
Solving for x;
So, x = 6
Hence, 6 pints of red color are needed.
And all together Henry needs pints of paint.