Answer:
$130.7086
Step-by-step explanation:
List price of phone answering system = $99.86
Handset cord = $8.95
Telephone wire = 45 cent/foot ; length = 50 feet
Rebate on phone system = $5
Store coupon =$1 of each accessory
Sales tax = 6% on final price
Price before coupon = (99.86 + 8.95 + (50*0.45)) =$131. 31
Number of accessories = 3
Total coupon = $5 + ($1 * 3) = $8
Price after coupon = final price : $131.31 - $8 = $123.31
Sales tax = 0.06 * $123.31 = $7.3986
Amount paid = $123.31 + $7.3986 = $130.7086
The margin of error can be calculated with the formula:
ME = z · √(p(1-p)/n)
where:
p = sample proportion
n = sample size
z = z-score
In your case:
p = 90 / 120 = 0.75
ME = 2.58 · √(0.75·0.25/120)
= 0.10
= 10%
The margin of error will be 10%.
Answer:
Step-by-step explanation:
Given g (x) = 
and 
, we are to find 
First we need to get 
Hence 
Also given f(x) = x and g(x) = 1/x, we are to find 
For the pair of function f(x) = 2/x and g(x) = 2/x
f(g(x)) = f(2/x)
f(2/x) = 2/(2/x)
f(2/x) = 2*x/2
f(2/x) = x
Hence f(g(x)) = x
For the pair of function f(x) = x-2/3 and g(x) = 2-3x
f(g(x)) = f(2-3x)
f(2-3x) = (2-3x-2)/3
f(2-3x) = -3x/3
f(2-3x) = -x
f(g(x)) = -x for the pair of function
For the pair of function f(x) = x/2 - 2 and g(x) = x/2 + 2
f(g(x)) = f(x/2 + 2)
f(x/2 + 2) = f((x+4)/2)
f((x+4)/2) = [(x+4)/2]/2 - 2
f((x+4)/2) = (x+4)/4 - 2
find the LCM
f((x+4)/2) = [(x+4)-8]/4
f((x+4)/2) = (x-4)/4
Hence f(g(x)) for the pair of function is (x-4)/4
Answer:
Jones family paid a total of $139
Step-by-step explanation:
Smith's Mountain Lake Boat provides Rental services that can be expressed as follows;
Total cost=cost per hour×number of hours rented+one time cleaning deal
For Benael's family;
Benael family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Benael family total cost=$226.50
Cost per hour=$25
Number of hours rented=11 am-6:30 pm=7 hours 30 minutes=7.5 hours
One time cleaning deal=x
Replacing;
226.50=(25×7.5)+x
187.5+x=226.50
x=226.50-187.5
x=39
One time cleaning deal=$39
For Jones family;
Jones family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Cost per hour=$25
Number of hours rented=9 am-1 pm=4 hours
One time cleaning deal=$39
Replacing;
Jones family total cost=(25×4)+39
Jones family total cost=$139
Jones family paid a total of $139
List the hours from 1 to 8
Multiply the hours by how much she is paid per hour ( $12)
X: 1, 2, 3, 4, 5, 6, 7, 8
y: 12, 24, 36, 48, 60, 72, 84, 96
