An insurance company offers a discount to home-owners who install smoke detectors in their homes. a company representative claims that 80% or more of policyholders have smoke detectors. you draw a random sample of eight policyholders. let x be the number of policyholders in the sample who have smoke detectors. a. if exactly 80% of the policyholders have smoke detectors ( so the representative's claim is true, but just barely), what is p( x ≤ 1)? b. based on the answer to part (a), if 80% of the policyholders have somke detectors, would one policyholder with a smoke detectors in a sample of size 8 be an unusually small number? c. if you found that exactly one of the eight sample policyholders had a smoke detector, would this be convincing evidence that the claim is false? explain d. if exactly 80% of the policyholders have smoke detectors, what is p(x≤ 6)? e. based on the answer to part (d), if 80% of the policyholders have smoke detectors, would six policyholders with smoke detectors in a sample of size 8 be an unusually small number? f. if you found that exactly six of the eight sample policyholders had smoke detectors, would this be convincing evidence that the claim is false? explain.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

because i took test

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 ☺