1. a construction company is planning to bid on a building contract. the
bid costs $1,500 and has an 80% chance of being accepted. if accepted,
the company will receive $40,000 dollars. find the expected value.

The expected value of construction company is $30500.

Solution:

Given, A construction company is planning to bid on a building contract.  

The bid costs $1,500 and has an 80% chance of being accepted.  

If accepted, the company will receive $40,000 dollars.  

We have to find the expected value.

We know that,  

Expected value = probability amount gained by bidding – bid amount

Expected value = 80% x 40000 – 1500

Expected value = 0.8 x 40000 – 1500

Expected value = 32000 – 1500

Expected value = 30500

Hence, the expected value is $30500.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

answer: i wpould go with c

step-by-step explanation: