Answer:
1/6
Step-by-step explanation:
There are six factors of 12: 1, 2, 3, 4, 6, and 12.
So the probability that the chosen factor is 4 is 1/6.
Answer:
y+0
As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.
Answer:
The answer is 75 tests for 150 people.
Step-by-step explanation:
Firstly, with 150 people, we can divide into 15 groups; and the probability of disease is 0.04, there are 6 persons who possibly get disease.
Therefor, the maximum number of groups with an individual getting disease is 6. Then, 6 * 11 tests = 66 tests required.
15 groups - 6 groups with disease = 9 groups of negative with 9 tests.
In conclusion, there are 75 tests required.
complete question:
The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?
Answer:
The original number is 10a + b = 10 × 3 + 5 = 35
Step-by-step explanation:
Let
the number = ab
a occupies the tens place while b occupies the unit place. Therefore,
10a + b
The sum of the digits of two-digits numeral
a + b = 8..........(i)
If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.
Therefore,
10b + a = 18 + 10a + b
10b - b + a - 10a = 18
9b - 9a = 18
divide both sides by 9
b - a = 2...............(ii)
a + b = 8..........(i)
b - a = 2...............(ii)
b = 2 + a from equation (ii)
Insert the value of b in equation (i)
a + (2 + a) = 8
2a + 2 = 8
2a = 6
a = 6/2
a = 3
Insert the value of a in equation(ii)
b - 3 = 2
b = 2 + 3
b = 5
The original number is 10a + b = 10 × 3 + 5 = 35
Answer:
X=4
Step-by-step explanation:
1/3(30x-12)=36
One solution was found :
x = 4
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/3*(30*x-12)-(36)=0
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
1
(— • (30x - 12)) - 36 = 0
3
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
30x - 12 = 6 • (5x - 2)
Equation at the end of step 3 :
2 • (5x - 2) - 36 = 0
Step 4 :
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
10x - 40 = 10 • (x - 4)
Equation at the end of step 5 :
10 • (x - 4) = 0
Step 6 :
Equations which are never true :
6.1 Solve : 10 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
6.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
One solution was found :
x = 4