Answer:
All 600 members of the club are population of this study
Step-by-step explanation:
There is difference in population of study and the samples taken from that population. All the 600 members of the club are actually the population of this study whereas the 50 members taken out of these 600 members are basically the sample of data. In order for us to carry out the surveys easily, we select a sample from the whole population. The sample has smaller number as compared to the whole population making it easier for us to carry out survey.
Answer:
x = 49
Step-by-step explanation:
The third side of the largest of the inner triangles:
= 
=
The side that continues next to 33: x -33
Applying similarity property on right triangles:




Hope this helps
Total of angles in 180 so:
46+90+8x+4=180
8x=40
x=5
With the given information, we can create several equations:
120 = 12x + 2y
150 = 10x + 10y
With x being the number of rose bushes, and y being the number of gardenias.
To find the values of the variables, we can use two methods: Substitution or Elimination
For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:
We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:
-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative
Multiply out:
-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y
Now we can solve for y:
y = 6
With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:
120 = 12x + 2y => 120 = 12x + 2(6)
Now we can solve for x:
120 = 12x + 12 => 108 = 12x
x = 9
So now we know that x = 9, and y = 6.
With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.