Area of each of the tiles = (2.5 * 6) inches^2
= 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
= (8 * 12) inches
= 96 inches
Height of the back splash = 2.5 feet
= (2.5 * 12) inches
= 30 inches
Then
Area of the back splash = ( 30 * 96) inches^2
= 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
= 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand.
First problem:
Find the z score for raw score 6 minutes:
6 - 5
z = --------- = 1.429
0.7
Using a TI-83 calculator's distribution functions, I found that the area to the right of 6 minutes is
normalcdf(1.428,100) = 0.076
Answer:
Option B. m⁷/n² is the correct answer.
Step-by-step explanation:
Identity,
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃ/xᵇ = xᵃ⁻ᵇ
x⁻ᵃ = 1/xᵃ
It is given that,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹
Using these three identities we can write,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹ = m⁻⁶ m¹³/n⁻¹n³ (since x⁻ᵃ = 1/xᵃ)
m⁻⁶ m¹³/n⁻¹n³ =m⁽⁻⁶⁺¹³⁾/n⁽⁻¹⁺³⁾ = m⁷/n² (since xᵃ * xᵇ = xᵃ⁺ᵇ and xᵃ/xᵇ = xᵃ⁻ᵇ)
Therefore Option B. m⁷/n² is the correct answer
330,100,000,000,000,000,000,000
The graph appears to cross the y-axis at y=1. This is the y-intercept. Expressed as an ordered pair, the point is (x, y) = (0, 1).
The graph appears to cross the x-axis at x=5. That means the line has dropped one unit (from y=1 to y=0) while x has increased by 5 units (from x=0 to x=5). The slope is ...
... slope = (change in y)/(change in x) = (-1)/(5) = -1/5
The slope is -1/5.
The y-intercept is 1.
_____
The slope-intercept from of the equation for the line is
... y = (-1/5)x +1