Answer:
40 days
Step-by-step explanation:
Let x represent the original production time. Then 70x is the order quantity involved.
When the same order quantity is produced at a rate of 80 items per day for x-5 days, we have the equation ...
70x = 80(x -5)
70x = 80x -400
0 = 10x -400 . . . . . subtract 70x
0 = x -40 . . . . . . . . divide by 10
40 = x . . . . . . . . . . add 40
The original schedule was for production to take 40 days.
Answer:
Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.
<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
