Answer:
Cluster sample
Step-by-step explanation:
This is an example of a cluster sample. In a cluster sample, the examiner divides the population into groups (each one of these groups is called a cluster) and once the examiner has these clusters, takes one of them and recollects the data from ALL the members of that cluster. In this case, the teacher divided the class in 3 different groups and then selects one of these groups and asks the average amount of time per week he/she spent studying.
Answer:
The number of the television sets that is model p is 12
Step-by-step explanation:
Here we have total number of television sold = 40
The model p televisions sold for $30 less than the model q televisions
That is $P = $q - $30
Therefore
Let the quantity of the model p sold be X
Let the quantity of the model q sold be X
Therefore
x + y = 40
Total cost of the television = 40 * 141 = $5640
Therefore, 120*x + 90*y = 5640
Plugging in x = 40 - y in the above equation we get
4800 - 30y = 5640 or
y = -28 and
x = 68
If we put y = 40 - x we get
30x + 3600 = 5640
If we put
120*x + 150*y = 5640.........(3)
we get
x = 12 and y = 28
Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12
Answer:
A
Step-by-step explanation:
5 is the hypotenuse, 3 is the opposite side, and 4 is the adjacent side. Thus, the cosine of A is adjacent/hypotenuse, hence 4/5.
The equation of the parabola that similar to f(x) =
but the vertex is (3, 5) in the standard form is y =
+ 5
The equation of the parabola
f(x) = 
The standard vertex form of a parabola is
y =
+ k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) = 
The value of a = 7
Substitute the values in the vertex form of a parabola
y =
+ 5
Hence, the equation of the parabola that is similar to f(x) =
but the vertex is (3, 5) in the standard form is y =
+ 5
Learn more about parabola here
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