Answer: x and y both equal up to an equal fraction 6/46
Step-by-step explanation:
3/4 x 2/5 x 62/8= 6/46
X - y - 3 (replace x with 7 and replace y with 2)
7 - 2 - 3
5 - 3
2
The answer is 2.
Given the function modeling the profit:
f(x)=-x^2+16x-60
a)<span>a.determine the vertex. what does this calculation mean in the context of the problem?
The vertex form is given by y=(x-h)^2+k, where (h,k) is the vertex:
y=</span>f(x)=-x^2+16x-60
y=x^2-16x+60
c=(-b/2a)^2
b=16
thus
c=(-16/2)^2=64
hence:
y=x^2-16x+64+60-64
y=(x-8)(x-8)-4
y=(x-8)^2-4
hence the vertex form will be:
y=(x-8)^2-4 the vertex is (8,-4)
The vertex represents the highest point of the graph which is the highest daily profits attained.
b] <span>determine the x-intercepts. what do these values mean in the context of the problem?
</span>let y=0 thus
0=<span>−x2 + 16x − 60
</span>factorizing the above we get:
0=x^2-16x+60
0=x^2-6x-10x+60
0=x(x-6)-10(x-6)
thus
x=6 and x=10
thus the x-intercepts are x=6 and x=10, they represent the breakeven point. The minimum number of units they can sell and not make any profit
Answer: simple random sampling
Step-by-step explanation:
In statistics, when a subset of individuals known as sample chosen from a population by a random selection of individuals such that the chances of selecting each individual is same, then the sampling method is called simple random sampling method.
Given: To assess the learning outcomes of a Statistic course, 5 students are chosen at random from each of the 30 Statistics classes.
here chances for selectin students is same.
The sampling method used here : " simple random sampling "
