Answer:
7 mm
Step-by-step explanation:
A square has 4 equal sides, so the piece of confetti will have 4 sides of the exact same length.
Find the length of each side by dividing the perimeter by 4
28/4
= 7
So, each side of the confetti piece is 7 mm
Answer:
Below in bold.
Step-by-step explanation:
As its direct variation the graph is a straight line and passes through the origin (0,0) and the slope (y/x) is a constant.
The fraction (y/x) for any point will be a constant.
The fraction for (6, 4) is 4/6 = 2/3.
So also on the line we have:
(-9, -6) (because -6/-9 = 2/3).
and (3, 2).
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.
For A: 1 senior; 1 infant; 2 children; 4 adults, out of 8 people
for B: 1 senior; 3 infants; 6 children; 6 adults, out of 16 people
for D: $43.75
for E: $76.25
Answer:x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7