Answer:
9.07 and 7.77 respectively.
Step-by-step explanation:
To determine the upper control limit, add 0.65 lb to 8.42 lb, obtaining 9.07 lb.
To determine the lower one, subtract 0.65 lb from 8.42 lb, obtaining 7.77 lb.
Answer:
For
the function f(x) is continuous on
.
Step-by-step explanation:
We have the following function

For the function f(x) to be continuous on
it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that
,
which holds if and only if

namely if
.
<h2>$67.50</h2><h2 />
Original price = x
The original price of a pair of shoes was discounted 20%.
20% = 20/100 = 0.2
1 - 0.2 = 0.8
x * 0.8
Now they sell for $54.
x * 0.8 = 54
Solve to find x.
54 / 0.8 = x
x = 67.5
Convert that to currency.
<h2>$67.50</h2>
Answer:
= 3n + 77
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then
= 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77