Answer: 1.5(b)+ 2.25(s) = 10.05
Step-by-step explanation:
Answer:
(a) 0.932
(b) 0.0653
(c) 0.032
(d) 0.316
(e) 0.251
Step-by-step explanation:
From the table with mean parameter μ = 5, we can compute the following cumulative and density probability
(a)
(cumulative)
(b) P(X = 8) = 0.0653 (density)
(c)
(cumulative)
(d)
(cumulative)
(e) 
Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
Answer:
x = 8
y = 146
Error = 4.86%
Step-by-step explanation:
Number of business class passenger = x
and the economy class passenger = y
Total number of passengers = 154
x + y = 154 ------(1)
Cost of business class tickets and economy class tickets are €320 and €85 respectively.
Total amount received by airlines is €14970.
320x + 85y = 14970
64x + 17y = 2994 --------(2)
Multiply equation (1) by 17 and subtract from equation (2)
(64x + 17y) - (17x + 17y) = 2994 - 2618
47x = 376
x = 8
From equation (1),
8 + y = 154
y = 154 - 8
y = 146
Airline officer wrote down the amount received as €14270
Then difference from the actual amount received = 14970 - 14270
= €700
% Error = 
= 
= 4.676
≈ 4.68%
Therefore, x = 8 and y = 146
and % error = 4.68%