Answer:
0.8914
Step-by-step explanation:
You want to find the z-values associated with the x-values:
z = (x -μ)/σ
z1 = (57 -90)/12 = -2.75
z2 = (105 -90)/12 = 1.25
Look up these values in a probability table and find the difference of the table values.
p(z < z1) ≈ 0.00298 . . . . from a table or calculator
p(z < z2) ≈ 0.89435 . . . . from a table or calculator
p(57 < x < 105) ≈ 0.89435 -0.00298 = 0.89137 ≈ 0.8914
Answer:
60
Step-by-step explanation:
if it went down one more it would be 30
Answer:
12.44
Step-by-step explanation:
Hope it helps
Answer:
The area of the patio without the tub is 53.44 ft²
Step-by-step explanation:
In order to calculate the area of the patio that is not covered by the hot tub we need to calculate the total area of the patio and subtract it by the area of the tub. Since the patio is rectangular it's area is given by "area = length*width" and the area of the tub is given by "area = pi*r²".
area patio = length*width = 11*6 = 66 ft²
area tub = pi*r² = pi*(48/2)² = pi*(24)² = 1,808.64 in²
To compare the area we need to convert the areas to the same unit, to do that we will convert the area of the tub from in² to ft², in order to do that we need to divide the value by 144. We have:
area tub = 1,808.64/144 = 12.56 ft²
The area of the patio without the tub is:
x = area patio - area tub = 66 - 12.56 = 53.44 ft²
