Answer:
Kathy: $1,224,000
Mark: $306,000
Please refer to the attachment.
Answer:
The solution to your inquiry can be found below
Step-by-step explanation:
First method
20 = 5(-3 + x) expanding this equation
20 = -15 + 5x combine like terms
5x = 20 + 15
5x = 35 dividing by 5
5x/5 = 35/5
x = 7
Second method
20/5 = 5/5 (-3 + x) divide both sides by 5
4 = -3 + x adding 3 to both sides
4 + 3 = -3 + 3 + x simplifying
7 = x
Answer:
Each of the 4 arrangements will produce a rectangle.
Explanation:
Transforming a rectangle through rotation or translation will not alter its rectangular shape. This principle also applies when reflecting it across any axis. Thus, every sequence among the four provided will result in a rectangle.
Response:
a. 0.76
b. 0.23
c. 0.5
d. p(B/A) signifies the likelihood that a student with a visa card also possesses a MasterCard.
p(A/B) indicates the probability that a student with a MasterCard also has a visa card.
e. 0.35
f. 0.31
Detailed explanation:
a. p(AUBUC) = P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) + P(AnBnC)
= 0.6 + 0.4 + 0.2 - 0.3 - 0.11 - 0.1 + 0.07 = 0.76
b. P(AnBnC') = P(AnB) - P(AnBnC)
= 0.3 - 0.07 = 0.23
c. P(B/A) = P(AnB)/P(A)
= 0.3/0.6 = 0.5
e. P((AnB)/C) = P((AnB)nC)/P(C)
= P(AnBnC)/P(C)
= 0.07/0.2 = 0.35
f. P((AUB)/C) = P((AUB)nC)/P(C)
= (P(AnC) U P(BnC))/P(C)
= (0.11 + 0.1)/0.2
= 0.21/0.2 = 0.31
