1,459.75 - 200.25 - 359.45 - 125.00 - 299.35 = 475.70
475.70 + 375.00 = 850.70
After settling the bills and deposit, her account shows a balance of $850.70
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
Utilizing the Law of Sines (sinA/a=sinB/b=sinC/c) and recognizing that the angles in a triangle add up to 180°.
The angle C calculates to 180-53-17=110°
Thus, we have 27/sin53=b/sin17=c/sin110
This leads to b=27sin17/sin53, c=27sin110/sin53
The perimeter is defined as a+b+c, so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (rounded to the nearest hundredth of a unit)
Response: The outcome is 
Detailed explanation: Suppose that
we need to finalize the subsequent sentence:
We have the polynomial division algorithm as follows
In this equation, a(x) denotes the quotient, b(x) indicates the divisor, and c(x) stands for the dividend.
Using this principle in the current problem, it results in
Consequently, the full sentence would be
Answer:
y = 12x + 16
Step-by-step explanation:
First, simplify both sides of the equation and then isolate the variable.
In Step 1, add 11 to each side.
−1
/2
y+11+−11=6x+3+−11
−1
/2
y=6x−8
In Step 2, divide each side by (-1)/2.
This leads to
y = 12x + 16
