Answer:
28j + 21
Step-by-step explanation:
combine like terms
7(2j+ 3+ 2j)
7(4j+3)
Distribute
7(4j + 3)
=
28j + 21
Answer:
<h2>277 degrees clockwise.</h2>
Step-by-step explanation:
This rotation could be express with its opposite. Just remember that a complete rotation is 360 degrees, so, if it's rotating 83° counter-clockwise, it'll be the same rotation if we say 277° clockwise, because that's the difference from the total 360°.
Answer:
3500 tons
Step-by-step explanation:
The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.
Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.
Therefore:
g = 2/5 * c = 2c/5
That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:
1400 = 2c/5
To find the amount that the Consolidated Brick Company produced, solve for c:
1400 = 2c/5
1400 * 5 = 2c
7000 = 2c
c = 7000 / 2 = 3500 tons
The Consolidated Brick Company had a total production output of 3500 tons in 1991.
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