Answer: 0.0129
Step-by-step explanation:
Given : Mean :
Standard deviation :
Sample size :
Let X be the random variable that represents the age of of the fleets.
Z-score :
For x = 14
By using standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be
Hence, the the probability that the average age of these 40 airplanes is at least 14 years old =0.0129
Answer:
a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm
b.
sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.
than AT=BT
3x+6=42-x
3x+x=42-6
x=36/4=9
AT=3×9+6=27+6=33
c.
since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
EH=GH
5y+10=28-y
6y=28-10
y=18/6=3
Answer:
number of students tickets = 80
number of adults tickets = 145
Step-by-step explanation:
Let
x = number of students tickets
y = number of adults tickets
x + y = 225 (1)
3x + 8y = 1400 (2)
From (1)
x = 225 - y
Substitute x = 225 - y into (2)
3x + 8y = 1400 (2)
3(225 - y) + 8y = 1400
675 - 3y + 8y = 1400
- 3y + 8y = 1400 - 675
5y = 725
y = 725/5
y = 145
Substitute y = 145 into (1)
x + y = 225 (1)
x + 145 = 225
x = 225 - 145
x = 80
number of students tickets = 80
number of adults tickets = 145
Step-by-step explanation:
There are 5 different positions of 666:
666////
/666///
//666//
///666/
////666
The forward dashes represent any number from 0 to 9.
Case 1: "666////"
Number of ways = 10⁴ = 10,000.
Case 2: The other positions.
Since the 1st forward dash cannot be 0 (leading digit),
Number of ways for each position = 9 * 10³ = 9,000
Number of ways for all 4 positions = 9,000 * 4 = 36,000.
Total evil numbers = 10,000 + 36,000 = 46,000.