Answer: Jorge has 62 marbles.
Step-by-step explanation: Given that Jaime has 38 marbles if Jorge had 14 more marbles he would have twice as many as Jaime.
We are to find the number of marbles that Jorge has.
Let x and y represents the number of marbles that Jalme and Jorge has respectively.
Then, according to the given information, we have
and
Thus, Jorge has 62 marbles.
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:
The correct answer is option C.
Step-by-step explanation:
Let the number be x.
The square of a number exceeds that number by 12 .Mathematically can be written as:
Using middle term splitting to factorize the expression:
The two possible solutions are :
1) (x+3)=0
x = -3
2) (x-4)=0
x = 4