1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LuckyWell [14K]
3 years ago
5

A certain oil refinery keeps intermediate products in 8 tanks. There are 15 pumps of varying capacity that can be assigned to pu

mp the intermediate products from the 8 tanks into a final-product tank. Question: How many ways can you assign the 15 pumps to the 8 tanks so that each tank gets at least one pump?
Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

Step-by-step explanation:

This question is permutation problem. permutations is the number of arrangements or orderings within a constant group.

The formula for permutation is given as

nPk = n!÷(n-k)!

Where n is the number of objects, k is the is the number of objects we want to chose from.

Solution to the question

15P8 = 15!÷(15-8)!

= 15!÷7!

= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1÷7×6×5×4×3×2×1

= 259459200

You might be interested in
Do you know how do this?
IRINA_888 [86]
What is your question that you want an answer to?
7 0
3 years ago
Determine the perimeter of a square with a diagonal of<br><br> √72<br><br> centimeters
const2013 [10]
The correct answer is 23.6
First find the length of the square root of 72 which is 8.4
Next divide 8.4 by the square root of to to find the length of a side 5.9 
Multiply 5.9 by 4 to get 23.6
7 0
3 years ago
A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi
Rainbow [258]

Answer:

85 \le \frac{75 + 97 + n}{3} \le 90; 83 \le n \le 98

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: \frac{75 + 97 + n}{3}.

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

85 \le \frac{75 + 97 + n}{3} \le 90

Solve for n in each statement that makes up the compound inequality:

85 \le \frac{75 + 97 + n}{3}

85 \le \frac{172 + n}{3}

Multiply both sides by 3

85*3 \le 172 + n

255 \le 172 + n

Subtract 172 from each side of the inequality

255 - 172 \le n

83 \le n

Also,

\frac{75 + 97 + n}{3} \le 90

\frac{172 + n}{3} \le 90

Multiply both sides by 3

172 + n \le 90*3

172 + n \le 270

Subtract 172 from both sides of the inequality

n \le 270 - 172

n \le 98

Combining both together, the possible values of her third quiz score would be:

83 \le n \le 98

3 0
2 years ago
Please help me. Thank you--
Lapatulllka [165]
For the first one:tick the second to last.
for the second: tick the first circle.
for the third: tick the second to last.
for the forth: tick the second.
for the fifth: tick the last.
for the last one: tick the second.

Hope it helps...
6 0
3 years ago
Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown
KiRa [710]

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be \frac{7-0}{2-0} =3.5 minutes per mile. (Answer)

6 0
3 years ago
Other questions:
  • The same sample of 25 seniors from the urban school district with the mean and standard deviation N(450, 100). A 95% confidence
    12·1 answer
  • Lisa made $286 for 13 hours of work. at the same rate, how many hours would she have to work to make $242 ?
    14·1 answer
  • Let A = 40. If B is complement of A, and C is a supplmenet of B, what is B+C?
    8·1 answer
  • You buy a new laptop for
    8·2 answers
  • Who has the most political power in Australia’s government
    10·2 answers
  • Stephen Curry plays for the Golden States Warriors and touts a 90% free throw shooting record. If he shot 20 free throws in a ga
    14·1 answer
  • I got the rest done and now my brain Isn't cooperating, h e l p​
    8·1 answer
  • Madison is going to hike to the point (4,4) on the coordinate grid, which is the top of the
    14·1 answer
  • Please help marking brainliest if its correct!
    7·1 answer
  • Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hou
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!