I think is the second choice!!!
<span />
Answer:
3320in²
Step-by-step explanation:
heron formula = √s(s-a)(s-b)(s-c)
when s = (a+b+c)/2
s = (16+35+25)/2 = 76/2 = 38
heron formula = √s(s-a)(s-b)(s-c) = √78(78-16)(78-35)(78-25) = √78(62)(43)(53) = √11021244 = 3319.82589905≈3319.8in²(nearest tenth)
Answer:
y= x-3
Step-by-step explanation:
The points are ;(0, -3), (5,2), (7,4), (10,7).
Plot the coordinates on a graph tool to visualize the graph
Select two points to find the slope ; take point (5,2) and (10,7)
m=Δy/Δx
Δy = 7-2=5
Δx=10-5 = 5
m=5/5 =1
The equation of the graph will be;
m= Δy/Δx
1=y-4/x-7
x-7 = y-4
x-7+4=y
x-3=y
y= x-3
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.
If you think about it, an octagon is made up of 8 triangles. So you first find the area of one triangle then multiply it by 8 for the total area:
A=1/2bh
A=1/2(9.9)(12)
A=59.4
59.4 x 8= 475.2
Therefore the total area for the octagon should be 475.2 units^2
Hope this helps !
