Yes, $40 is a reasonable amount to pay for the cab fare.
<em><u>Explanation</u></em>
Sheri’s cab fare was $32 and the percentage of gratuity is 20%
So, the amount of gratuity will be: 
Thus, <u>the fare of the cab including the gratuity</u> will be: 
As Sheri wrote a check to the cab driver for $40 , it means she paying ($40 - $38.40) or <u>$1.60 more to the cab driver</u>. So, the $40 check is a reasonable amount to pay for the cab fare.
Answer
given,
thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
X = U[0.95,1.05] 0.95≤ x ≤ 1.05
the cumulative distribution function of flange
F(x) = P{X≤ x}=
=
b) P(X>1.02)= 1 - P(X≤1.02)
= 
= 0.3
c) The thickness greater than 0.96 exceeded by 90% of the flanges.
d) mean = 
= 1
variance = 
= 0.000833
The formula for solving the problem is as follow:
an = a1 + (n - 1)d
Where:
n = number of figure in the sequence = 4
d = difference between successive number =?
a1 = -1
a4 = 59
Insert the given values into the formula,
59 = -1 + (4 - 1)d
59 = -1 + 3d
59 + 1 = 3d
60 = 3d
d = 60/3 = 20
Therefore, d = 20. This implies that, there is a difference of 20 between successive numbers.
The number sequence is as follow:
-1, 19, 39, 59.
Answer:
18
Step-by-step explanation:
Supplementary angles means sum of angles is 180.
4x + 4 + 6x - 4 = 180
4x + 6x + 4 - 4 = 180
10x = 180
x = 180 / 10
x = 18
Step-by-step explanation:
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper)
Let x = solid paper
Let y = printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find x:
8x + 15y = 51.50
8x = 51.50 - 15y
x = (51.50 - 15y)/8
Substitute x:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618 - 180y + 72y = 348
-108y = 348 - 618
-108y = -270
-108y/-108 = -270/-108
y = 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x = (51.50 - 37.50)/8
x = 14/8
x = 1.75
To check: x = 1.75 ; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
