Answer:
Value of b = 
=1.25.
Step-by-step explanation:
Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.
*if one variable changes the other changes in proportion to the first.
*If a is directly proportional to b i.e,
then it is of the form
a = kb ;where k is constant variation.
Given: a varies directly as b;
then, by definition of direct variation;
we have;
.....[1]
Substitute the value of a =28 and b =7 to solve for k;
Divide both sides by 7 we have;
Simplify:
k =4
now, find b using same method when a =5;
then;
after substituting the value of a = 5 and k=4 in [1] ;
Divide by 4 to both sides we get;
Therefore, the value of b = =1.25
Answer:
2)
Step-by-step explanation:
To find the original width, multiply 15.8 by w, and by 5.2.
You'll get 327.65 = 15.8w + 82.16.
Next, do the opposite of the symbol from both sides, 327.65 - 82.16 = 15.8w + 82.16.
The constant is 82.16, and the symbol is +, the opposite of plus is -, and thus subtract the constant from both sides.
You'll get 245.49 = 15.8w.
Now do the opposite of the symbol (a number next to a variable is multiplication, so do division, and divide 15.8 on both sides.
245.49/15.8 = 15.8w/15.8, which equals 15.5373417722.
Answer:
1.) Some
Step-by-step explanation:
Natural numbers do not contain negative numbers, but they do contain whole numbers like 1, 2, 3. So your answer would be some.
Answer:
CV = coefficient of variation = 0.761
Step-by-step explanation:
The coefficient of variation is defined as the standard deviation divided by the mean of a population, which in this case,
standard deviation = 15.6
mean = 20.5
CV = coefficient of variation = 15.6/20.5 = 0.761
Note that if the 16 values form a sample (i.e. not the entire population), the above result is an estimate of the CV.
