Answer:
Step-by-step explanation:
Given that
A sample space consists of five simple events, E1, E2, E3, E4, and E5.
a If P(E1) = P(E2) = 0.15,
P(E3) = 0.4, and P(E4) = 2P(E5),
We know that total probability =1
i.e. sum of probabilities of All Eis would be 1

where x = P(E5)
Solving for x we get
x=0.30
So P(E4) = 0.2 and P(E5) = 0.1
-----
b) Let P(E3) =P(E4) = P(E5) = y
then we have
total probability = 
Probability of remain are 0.2 each.
Answer: A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Step-by-step explanation:
The third one**(1+5h)+2**
Answer:
![41\text{ [units squared]}](https://tex.z-dn.net/?f=41%5Ctext%7B%20%5Bunits%20squared%5D%7D)
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length
and width
:
- Area of triangle with base
and height
:
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is 
The area of all four is then
units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of
units squared, and the both of them have a total area of
units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of
units squared.
Therefore, the area of the entire octagon is ![8+12+21=\boxed{41\text{ [units squared]}}](https://tex.z-dn.net/?f=8%2B12%2B21%3D%5Cboxed%7B41%5Ctext%7B%20%5Bunits%20squared%5D%7D%7D)
Answer:
In 4 months Wyatt offer an equal number of sandwiches and tacos.
Step-by-step explanation:
We are given the following in the question:
Types of sandwiches = 8
Rate of increase of sandwich = 1 per month
Thus, number of sandwiches in x months will be given by

Types of tacos = 4
Rate of increase of tacos sandwich = 2 per month
Thus, number of tacos in x months will be given by

Equating the two equations, we get,

Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.