Answer:
C
Step-by-step explanation:
∠1 = 3x + 18 {Vertically opposite angles}
∠1 + 28° = 90
3x + 18 + 28 = 90
3x + 46 = 90
3x = 90 - 46
3x = 44
x = 44/3

The equation that can be used to represent the situation given that x is the number of hours spent babysitting is 4(x + 8) = 56
<h3>How to write and solve equation</h3>
- Amount paid per hour for babysitting =$4
- Total amount made = $56
- Hours spent babysitting on Sunday = 8 hours
Total earned babysitting on Sunday = Hours spent babysitting on Sunday × Amount paid per hour
= 8 × 4
= $32
Number of hours he babysat on Saturday = $56 - (8 × 4) ÷ 4
= 56 - 32 ÷ 4
= 24 ÷ 4
= 6 hours
A. 8x+4 = 56
8x = 56 - 4
8x = 52
x = 52/8
x = 6.5
B. 4x+8 = 56
4x = 56 - 8
4x = 48
x = 48/4
x = 12
C. 8(x + 4) = 56
8x + 32 = 56
8x = 56 - 32
8x = 24
x = 24/8
x = 3
D. 4(x + 8) = 56
4x + 32 = 56
4x = 56 - 32
4x = 24
x = 24/4
x = 6
Learn more about equation:
brainly.com/question/16863577
Answer:
55.32% probability that a late package was delivered by express delivery service 2
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Late delivery.
Event B: Service 2 was used.
A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.
100 - 35 = 65%.
So 
Service 2 has a record of 2.0% of packages being delivered late.
This means that 
Probability of a late delivery.
35% from service 1. Of those, 3% are late.
65% from service 2. Of those, 2% are late.
So

What is the probability that a late package was delivered by express delivery service 2
55.32% probability that a late package was delivered by express delivery service 2