red bookstore wants to ship books from its warehouses in brooklyn and queens to its stores, one on long island and one in manhattan. its warehouse in brooklyn has 1,000 books and its warehouse in queens has 2,000. each store orders 1,500 books. it costs $5 to ship each book from brooklyn to long island and $1 to ship each book from brooklyn to manhattan. it costs $4 to ship each book from queens to long island and $2 to ship each book from queens to manhattan.

(a) if red has a transportation budget of $8,940 and is willing to spend all of it, how many books should red ship from each warehouse to each store in order to fill all the orders? (assume red spends the entire transportation budget.)

brooklyn to long island books
brooklyn to manhattan
queens to long island books
queens to manhattan books

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

Deepak plotted these points on the number line. point a: –0.3 point b: – 3 4 point c: – 11 4 point d: –0.7 which point did he plot incorrectly?

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis