When you factor the equation...
r^2-4r-77
r^2+7r-11r-77
r(r+7)-11(r+7)
(r-11)(r+7) so each parenthetical term is a dimension.
Note that r>11 though for any possible real solution.
Answer:
3 4/5
Step-by-step explanation:
19/5 there are 3 wholes of 5.
5,10,15
3 wholes later we are left with 4
You just write it as 4/5. Meaning, the 4 is just left.
Answer:
$159.09
Step-by-step explanation:
Math
Answer:
0.6710
Step-by-step explanation:
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.
Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 107 mm
σ is the population standard deviation = 5 mm
For x = 104 mm
z = 104 - 107/5
z = -0.6
Probability value from Z-Table:
P(x = 104) = 0.27425
For x = 115 mm
z = 115 - 107/5
z = 1.6
Probability value from Z-Table:
P(x = 115) = 0.9452
The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:
P(x = 115) - P(x = 104)
0.9452 - 0.27425
= 0.67095
Approximately = 0.6710
