Answer:
z = -17
Step-by-step explanation:
If the average of x and y is 11, then;
x+y/2 = 11
x+y = 2 + 11
x+y = 22 .... 1
similarly, if average of x, y and z is 5, then;
x+y+z/3 = 5
x+y+z = 3*5
x+y+z = 15
Since x+y = 22
22 + z = 5
z = 5 - 22
z = -17
Hence the value of z is -17
Answer:
The answer is C) - |x - 2| + 3 = 0
Step-by-step explanation:
a) - |x - 2| + 3 > 0
The greater than means something above the graph.
b) - |x - 2| + 3 < 0
The less than means something below the graph.
c) - |x - 2| + 3 = 0
The zero doesn't do anything.
y = - a |x - h| + k = 0
(h,k) is the origin.
h is shift left/right, h = 2 so shift right 2.
k is shift up/down, k = 3 so shift up 3.
The a, affects the y-values which cause the graph to reflect across the x-axis.
Let's assume
the number of bags of candy =x
the number of bags of cookies =y
There were 5 more bags of cookies sold than candy
so, we get

Bags of candy cost $5.50
so, total cost of candy is

bags of cookies cost $3.50
so, total cost of cookies is

so,
total cost = (total cost of candy)+(total cost of cookies)
we get
total cost =5.50x+3.50y
so, we can plug

now, we can plug y








now, we can find y



so,
the number of bags of candy =4
the number of bags of cookies =9............Answer
Answer:
See explanation below
Step-by-step explanation:
Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.
a) The alternative and null hypotheses would be:
H0: μ ≥ 220
Ha: μ < 220
b) Comment on the conclusion when H0 cannot be rejected:
When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.
c) Comment on the conclusion when H0 can be rejected:
When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.
We must find the difference between prices. $2.65 - $2.50 = $0.15. Now we need to calculate what percent $0.15 is of $2.65. It is 5.7%! The price decreased, so it is a 5.7% decrease!