Answer: The volume inside is 27 cu. ft.
Step-by-step explanation:
The surface area of a cube is the area of each face of the cube added together. There are 6 faces on a cube; 54/6 = 9 sq. ft. for each face of the cube.
Each face of a cube is a square, whose area is given by A=s²:
9 = s²
Take the square root of both sides:
√9 = √s²
3 = s
Each side of the square, or edge of the cube, is 3 ft.
This makes the volume 3(3)(3) = 27 cu. ft.
Answer:
The mean will stay the same.
The standard deviation will decrease.
Step-by-step explanation:
For the 5 cards, she has received, the mean will be:
μ=(∑x)/n
=125/5
=25
The mean is 25 and the standard deviation is 10.
σ=10
If a new card is received with $25, then the sum will be $150
So the new mean will be:
μ'=(∑x)/n
=150/6
=25
And the new standard deviation will be:
σ'= 9.12
We can clearly see that
μ= μ'
and
σ> σ'
So the mean will remain the same and standard deviation will decrease.
.
Answer:
8x + y = 5
Step-by-step explanation:
Start with the slope-intercept form y = mx + b. The y-intercept is (0, 5). Substituting -8 for m and 5 for b, we get:
y = mx + b => y = -8x + 5
Put this into "standard form" by adding 8x to both sides:
8x + y = 5
Answer:
Step by step explanation:
