Answer:
11.89
Step-by-step explanation:
let x be the increases length
now (6.4+x)(4+x)(10.5+x) = 2*250
solving this we get x = 1.39
so the largest dimension is 10.5+ 1.39 = 11.89
Answer:
140°
Step-by-step explanation:
Supplementary angles sum to 180° , thus
angle = 180° - 40° = 140° ← other angle
Answer:
175 miles
Step-by-step explanation:
Hillary has travelled
320 + 350 = 670 miles
in the first two weeks.
Therefore, Hillary starts with 670 miles and needs to add a certain number of miles "x" to get 845 in total.
670 + x = 845
And if we subtract 670 from both sides:
x = 845 - 670 = 175
175 miles
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
For this case we have the following inequality:
x> -9
The solution set of this inequality is given by:
(-9, inf)
Therefore, all the points within the given interval must belong to the graph of the inequality.
Note: see attached image.
Answer:
(-9, inf)
See attached image.
