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
Inessa [10]
3 years ago
10

What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to gu

arantee that there are at least 100 who come from the same state?.
Mathematics
1 answer:
Brrunno [24]3 years ago
3 0

Answer:

Minimum number of student is 4951

Step-by-step explanation:

4950 wont work because there are 99 student in each state

99 *50 =4950

there are 100 students comes from same state. So from pigeon hole principle there are at least [ 4951/50] = 100 come from state

You might be interested in
How do I solve this .... question in the image. <br><br>thank you​
dezoksy [38]

Answer:

Below

Step-by-step explanation:

● x-20 = y+20 (1)

● 2(y-22) = x+22 (2)

This is a system of simulataneous equations

Let's simplify the expressions first

● x -20 = y + 20 (1)

Add 20 to both sides

● x -20 + 20 = y+20 +20

● x = y + 40 (1)

● 2(y-22) = x+22 (2)

● 2y - 44 = x +22

Substrat 22 from both sides

● 2y-44-22 = x+22-22

● 2y -66 = x (2)

This is the new system:

● x = y+40 (1)

● x = 2y-66 (2)

Substract (2) from (1)

● x-x = y+40-(2y-66)

● y+40-2y+66 = 0

● -y +106 = 0

● y = 106

Replace y with 106 in (1)

● x = y +40

● x = 106+40

● x = 146

So the solutions are (146,106)

8 0
3 years ago
Limit question: lim x--&gt;pi ((e^sinx)-1)/(x-pi)
aleksandr82 [10.1K]
\displaystyle\lim_{x\to\pi}\dfrac{e^{\sin x}-1}{x-\pi}

Notice that if f(x)=e^{\sin x}, then f(\pi)=e^{\sin\pi}=e^0=1. Recall the definition of the derivative of a function f(x) at a point x=c:

f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}

So the value of this limit is exactly the value of the derivative of f(x)=e^{\sin x} at x=\pi.

You have

f'(x)=\cos x\,e^{\sin x}\implies f'(\pi)=\cos\pi\,e^{\sin\pi}=-1
4 0
3 years ago
Find the measure of angle n​
qwelly [4]

Answer:

m angle N = 160 degree

Step-by-step explanation:

THANKS FOR SHARING YOUR QUESTION

6 0
3 years ago
Read 2 more answers
Jason has 5 shirts for every 2 pairs of pants. His brother John has 7 shirts for every 3 pairs of pants. Compare the ratio by co
postnew [5]

Answer:

john has a greater ratio of shirts to pants

Step-by-step explanation:

jason- 5:2

table:

shirt :5 10 15 20 25 30 35 40 45

pants:2 4   6   8   10 12  14 16 18 20

john-7:3

table:

shirts:7 14 21 28 35 42 49 56 63

pants:3  6 9 1 2  15  18  21 24  27

4 0
2 years ago
What is the area of the polygon in square units?<br> Correct answer gets brainliest
givi [52]

Answer:

72

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Jack wants to buy 30 chocolate chip cookies that are $1.25 each. If sales tax is 7.5%. What will Jack’s total bill be?
    5·2 answers
  • June spun a spinner that is evenly spaced and numbered from 1 to 10. When it stopped, June spun it again. What is the probabilit
    14·2 answers
  • What is 7/11 equivalent to
    9·1 answer
  • If p is inversely proportional to the square of q and p is 3 when he was 12 determine p when q is equal to 3
    7·1 answer
  • 200,000,000 in scientific notation
    10·2 answers
  • A sprinkler is set to water the section of lawn represented by the shaded region in the circle below. which measurement is close
    6·1 answer
  • ⚠️ HELP ⚠️
    15·2 answers
  • In this arithmetic sequence 3, 8, 13, 18, ... which term has the the value 123?
    7·1 answer
  • What is 24/30 as a decimal
    7·2 answers
  • Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the fol
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!