9514 1404 393
Answer:
27 cm³
Step-by-step explanation:
The surface area of a cube is ...
SA = 6s²
Then the edge length is ...
54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area
9 cm² = s² . . . . . .divide by 6
3 cm = s . . . . . . . take the square root
The volume of a cube is ...
V = s³
V = (3 cm)³ = 27 cm³
The volume of the cube is 27 cm³.
Answer:
x = 3
Step-by-step explanation:
MQ : MN = 5:6
MP : MO = 5:6
MQ/MN = 5/6
Hence, MP/MO = 5/6
(5+x)/(6+(18/5)) = 5/6
5+x = (5/6)(48/5)
5+x = 8
x = 3
Answer:
x = 13sqrt(3) ft = 22.5 ft
y = 13 ft
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is
short leg : long leg : hypotenuse = 1 : sqrt(3) : 2
From the ratio above we see that the hypotenuse is twice the short leg.
The long leg is sqrt(3) times the short leg.
y = short leg
x = long leg
26 ft = hypotenuse
y = 26 ft/2 = 13 ft
x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft
Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean : 
Standard deviation: 
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x: 
At x= 0.75, 
Using standard normal table for z-value,
P-value : 
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
Answer:
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average <em>rate of change</em> is <em>slope</em>.
Step-by-step explanation:
The average rate of change of the cost of a pack (
), in monetary units per year, is equal to the change in the average cost of a pack (
), in monetary units, divided by the change in time (
), in years. Then, the average rate of change is:
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average <em>rate of change</em> is <em>slope</em>.
