Answer:
x=49
Step-by-step explanation:
2(3x+1)=3(2−x)
Step 1: Simplify both sides of the equation.
2(3x+1)=3(2−x)
(2)(3x)+(2)(1)=(3)(2)+(3)(−x)(Distribute)
6x+2=6+−3x
6x+2=−3x+6
Step 2: Add 3x to both sides.
6x+2+3x=−3x+6+3x
9x+2=6
Step 3: Subtract 2 from both sides.
9x+2−2=6−2
9x=4
Step 4: Divide both sides by 9.
9x9=49
x=49
The greatest possible number of club members is 7
<em><u>Solution:</u></em>
Given that, local readers’ club has a set of 49 hardback books and a set of 21 paperbacks
Each set can be divided equally among the club members
To find the greatest possible number of club members, we have to find the greatest common factor of 49 and 21
The greatest number that is a factor of two (or more) other numbers.
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
<em><u>Greatest common factor of 49 and 21:</u></em>
The factors of 21 are: 1, 3, 7, 21
The factors of 49 are: 1, 7, 49
Then the greatest common factor is 7
Thus, the greatest possible number of club members is 7
Answer:
Sample proportion ; phat
x / n
Step-by-step explanation:
The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.
The sample proportion is expressed Mathematically as ;
phat = x / n
x = number of subjects with a specified characteristic ;
n = total sample size
For instance ;
The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :
phat = x / n = 15 / 100 = 0.15
The answer is D.
The full specification of Newton's First Law is (from Wikipedia)
In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.
On earth we're generally in slightly a non-inertial frame, with rotation and revolution around the sun. It's also impossible to turn of gravity, so objects are being acted upon by an outside force. Typically there's also the outside force of friction, which makes things tend to stop.
{-1, 5, 11, 17, 23} ................
