Answer:
1=0.70 2=0.25 3=-0.30 4=0.125 5=0.233333333 6=0.636363636 7=-0.6
Step-by-step explanation:
Calculator and anything over 10, just move the decimal back one space!
Answer:
a



b
Step-by-step explanation:
From the question we are told that
The probabilities are
Supplier chosen A B C
Probability P(a) = 0.20 P(b) = 0.25 P(c) = 0.15
D E
P(d) = 0.30 P(e) = 0.10
Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem


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Generally the new probability of companies B being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem


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Generally the new probability of companies C being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem


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Generally the new probability of companies D being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem


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Generally the probability that B, D , E are not chosen this year is mathematically represented as
![P(N) = 1 - [P(e) +P(b) + P(d) ]](https://tex.z-dn.net/?f=P%28N%29%20%3D%20%201%20-%20%5BP%28e%29%20%2BP%28b%29%20%2B%20P%28d%29%20%5D)
=> ![P(N) = 1 - [0.10 +0.25 +0.30 ]](https://tex.z-dn.net/?f=P%28N%29%20%3D%20%201%20-%20%5B0.10%20%2B0.25%20%20%2B0.30%20%5D)
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Generally the probability that A is chosen given that E , D , B are rejected this year is mathematically represented as

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Answer:
160 m²
Step-by-step explanation:
The surface area of the prism is the sum of the area of its surfaces. This prism has 5 surfaces, namely the front, back, right, left and bottom surface.
<u>Area of front surface</u>
Area of triangle= ½ ×base ×height
Base= 6 m
Height= 4 m
Area= 6(4)= 24 m²
<u>Area of back </u><u>surface</u>
Area of back surface
= area of front surface
= 24 m²
<u>Area of right </u><u>surface</u>
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 5 m
Area= 7(5)= 35 m²
<u>Area of left </u><u>surface</u>
Area of left surface
= area of right surface
= 35 m²
<u>Area of bottom </u><u>surface</u> (base of prism)
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 6 m
Area= 6(7)= 42 m²
The total surface area can be found by adding all of the surface areas we have found earlier.
Total surface area
= 24 +24 +35 +35 +42
= 160 m²
Answer:
x = [-1 | 5, 2 | 1]
Step-by-step explanation:
We assume your notation is used to describe 2×2 matrices.
Solve for x:
2x -k = m
2x = m + k . . . . add k
x = (1/2)(m +k) . . . . multiply by 1/2
Fill in the values:
x = 1/2[2+(-4) | 8 +2, -2+6 | 5+(-3)]
x = [-1 | 5, 2 | 1]