Answer:
4, 6, 1
Step-by-step explanation:
We can solve this problem using a system of equations:
1) a + b + c = 11
2) 2a + 5b + 6c = 44
3) 4a - b = 10
First, we can substitute the value of b from equation #3 into equation #1:
b = 4a - 10
a + (4a - 10) + c = 11
5a - 10 + c = 11
5a + c = 21
c = 21 - 5a
Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:
2a + 5(4a - 10) + 6(21 - 5a) = 44
2a + 20a - 50 + 126 - 30a = 44
-8a + 76 = 44
-8a = -32
a = 4
b = 4a - 10 = 4(4) - 10 = 6
c = 21 - 5a = 21 - 5(4) = 1
Answer:
3/8
Step-by-step explanation:
The equation is given as:
We can simply the equation by getting rid of the denominators which is 4a and 3. Therefore we can multiply both sides with 3*4*a:
On the left hand side 4a cancels with 4a and on the right hand side 3 cancels with 3. We are left with:
∴ After simplying
Answer:
The percentage is 95.45%
Step-by-step explanation:
In this question, we are tasked with calculating the percentage of oranges weighing between a particular range.
To do this , we use the z-scores of both numbers in the range.
Mathematically, z-score can be calculated as (x - Mean)/SD
Thus we have P(3 <x < 7) = P( (3-5)/1 < z < (7-5)/1)
= P( -2 < z < 2)
Using standard score table, we have
P(-2<z<2) = 0.9545
The percentage is thus 9545/100 = 95.45
Answer:
3
Step-by-step explanation:
Since 4/25 = 1/4 that means ?/12 = 1/4 so in this case it would be 3 since 12 is divided by 3 to get to 4 for the denominator.
