Answer: £192.50
Step-by-step explanation:
550 x 0.35 = 192.50
We need to identify the perimeter of the rectangle EFGH which has points as below:
G (-3, 4)
H (2, 2)
E (1, -1)
F (-4, 1)
The distance of EF, we have it:
d² = (-4-1) ² + (1--1)² = 25 + 4 = 29
d = √29
The distance from point F to point G:
d² = (-4--3)² + (1-4)² = 1 + 9
d = √10
Hence, we can solve for the perimeter as below:
Perimeter EFGH = 2L + 2W
Perimeter EFGH = 2(√29) + 2(√10)
Perimeter EFGH = 17.09 units
The answer is the second item in the choices or the letter B which is 2√10 + 2√29 units.
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:

![=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B99%7D_%7B85%7D%5C%5C%5C%5C%3D%5Cfrac%7B99-85%7D%7B99%7D%5C%5C%5C%5C%3D0.1414%5C%5C%5C%5C)
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:

![=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B40%7D_%7B30%7D%5C%5C%5C%5C%3D%5Cfrac%7B40-30%7D%7B99%7D%5C%5C%5C%5C%3D0.1010)
Thus, the probability of donations between 30 and 40 cents is 0.1010.