Answer:
- s + m + L = 78
- 0.45s +0.60m +0.75L = 46.95
- s - m + L = 4
Step-by-step explanation:
The problem statement asks for the number of each size cup sold. You are told there are three sizes, so it is convenient to use one variable to represent the number of cups of a given size that were sold—three variables total.The problem statements tell you the relationships between the numbers:
- the total number of cups sold
- the total value of cups sold
- the relationship between numbers of one size versus other sizes
It is appropriate to write an equation for each of these relationships, for a total of three equations. (Here, the last of these equations is put into standard form to make it easier to translate this to a matrix equation for solving by calculator.)
___
The solution is: 20 small, 37 medium, and 21 large.
Answer:
-2.1
Step-by-step explanation:
2.5(x+4)=4.75
or,2.5x+10=4.75
or,2.5x=4.75-10
or,2.5x= -5.25
or,x =-5.25/2.5
or,x= -2.1
∴x=-2.1
(Ans)
Hope you find it helpful.........
Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex
.
The vertex form of a quadratic is
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare
to
, you should see that
.
So the vertex (h,k) is (-4,-7).
1) slope-2/3, y-intercept-(0,6)
2) slope- -2/3, y-intercept-(0,-3)
3) slope- 8, y-intercept-(0,-6)
4) slope- 6, y-intercept-(0,-8)
Answer:
a) 135 minutes
b) 15
c) 0.5
d) 0.3707
Step-by-step explanation:
A) What is the distribution's mean
mean(m) = (120 + 150)/2 = 270/2 = 135 minutes
B) What is the distribution's standard deviation
standard deviation(s) 
s = 15
C) What is the probability that a flight is less than 135 minutes
firstly calculate z score
z score = (x - m)/s = (135 - 135)/15 = 0
P(x<135) = z(0) = 0.5
D) What is the probability that a flight is more than 140 minutes?
z score = (x - m)/s = (140 - 135)/15 = 0.33
P(x>140) = 1 - P(x<140) = 1 - 0.6293 = 0.3707