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.
Answer:
600 ft cubed
Step-by-step explanation:
Triangle volume formula V = 1/2(l*w*h)
1/2(4*12*9) = 216 ft cubed
Formula for rectangular prism V = (l*w*h)
(4*16*6) = 384 ft cubed
Adding the values: 600 ft
Answer:
-
Step-by-step explanation:
A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:
- One answer with positive square root
- One answer with negative square root
For example, for the equation:
If we take the square root of both sides, the answers will be:
Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.
For given case, the roots are 6 and . Therefore, the 3rd root of the polynomial function f(x) had to be -
It seems you made error while writing option B, it should be - square root of 5.
3/4 inch represents 1/8 mile, that means:
1/8 mile represented by 3/4 inch
1 mile will be : (3/4) inch ÷ (1/8)
= 3/4 × 8/1 = 6
1mile will be represented by 6 inches
So on the map it is 6 inches per mile
Answer:
a) C(x) = 15000/x + 6x +80
b) Domain of C(x) { R x>0 }
Step-by-step explanation:
We have:
Enclosed area = 1500 ft² = x*y from which y = 1500 / x (a) where x is perpendicular to the river
Cost = cost of sides of fenced area perpendicular to the river + cost of side parallel to river + cost of 4 post then
Cost = 10*y + 2*3*x + 4*20 and accoding to (a) y = 1500/x
Then
C(x) = 10* ( 1500/x ) + 6*x + 80
C(x) = 15000/x + 6x +80
Domain of C(x) { R x>0 }
