Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:


Convert to fraction

Cross Multiply:


Collect Like Terms


Solve for x


<em>The length of the missing side is 10</em>
Answer:
150
Step-by-step explanation:
one third of 2700 = 900
900/2 = 450
450/3 = 150
Answer:
Step-by-step explanation:
For testing of significance of correlation coefficient denoted by r, we create hypotheses in three ways
They are one tailed, two tailed. One tailed can be stated as right tailed and also left tailed.
The null hypothesis would normally be as r=0
Verbally we can say this there is no association between the dependent and independent variable (linear)
Against this alternate hypothesis is created as
either r not equal to 0
or r>0 or r<0
If r not equal to 0, we say two tailed hypothesis test
If r>0 is alternate hypothesis, it is right tailed test
If r<0 is alternate hypothesis, then it is left tailed test.
The total cost for plumber number 1 expressed as a function of x is
c1(x)=45x+90
That is, the charge per hour times the number of hours plus the fixed charge for a visit.
Using the same pattern, write the function for the second plumber. Then set the two functions equal to each other and solve for
<span>2m^2n^4/6m^5n^3
n
= --------
3m^3</span>