Answer:
a) P [ x ≤ 7000] is 0.55
b) P [ x > 5000 ] = 0.95
c) P [ 5000 < x ≤ 7000 ] = 0,5
Step-by-step explanation:
a) P [ x > 7000 ] = 0.45 straightforward P [ x ≤ 7000] is 0.55
The whole spectrum of probabilities is 1 which in this particular case is divided in two parts having 7000 as a limit, then we subtact 1 - 0.45
b) P [ x ≤ 5000] = 0.05 again we get P [ x > 5000] taking 1-0.05 to get
P [ x > 5000 ] = 0.95
c) P [ 5000 < x ≤ 7000 ]
Under Normal curve distribution the probability of x ≤ 7000 includes values smallers ( to the left of 5000) so we subtract from 0.55 - 0.05 = 0.50
c) P [ 5000 < x ≤ 7000 ] = 0,5
Answer:
17/6
Step-by-step explanation:
Start off with
2 1/8 * 2 6/9
Convert mixed number into improper fraction
17/8
reduce fraction with 3
17/8 * 2 * 2/3
Reduce numbers with GCD 2
17/4 * 2/3
Repeat
17/2 * 1/3
Multiply fractions
17*1/2*3
You then get...
17/6!
[Alternative forms: 2 5/6, 2.83]
Answer:a = - 2
b = - 3
c = 3
Step-by-step explanation:
a + 5b - c = - 20 - - - - - - - - - 1
4a - 5b + 4c = 19 - - - - - - - - - 2
-a - 5b - 5c = 2 - - - - - - - - - - - 3
Adding equation 1 and equation 2, it becomes
- 6c = - 18
c = - 18/ - 6 = 3
Multiplying equation 2 by 1 and equation 3 by 4, it becomes
4a - 5b + 4c = 19
-4a - 20b - 20c = 8
Adding both equations, it becomes
- 25b - 16c = 27
- 25b = 27 + 16c = 27 + 16 × 3
- 25b = 75
b = 75/- 25 = - 3
Substituting b = - 3 and c = 3 into equation 1, it becomes
a + 5 × - 3 - 3 = - 20
a - 15 - 3 = - 20
a - 18 = - 20
a = - 20 + 18 = - 2
The area under the speed curve tells you how much distance the vehicle covers.
The distance for first 30 s corresponds to the area of a rectangle with height <em>k</em> m/s and length 30 s, or
(<em>k</em> m/s) (30 s) = 30<em>k</em> m
The distance for the last 20 s corresponds to the area of triangle with height <em>k</em> m/s and length 20 s, or
1/2 (<em>k</em> m/s) (20 s) = 10<em>k</em> m
If the total distance traveled was 1.7 km = 1700 m, then
30<em>k</em> + 10<em>k</em> = 1700
40<em>k</em> = 1700
<em>k</em> = 42.5
