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
Liono4ka [1.6K]
3 years ago
14

Find the lesser of two consecutive integers with a sum greater than 15

Mathematics
1 answer:
sweet [91]3 years ago
6 0

Let n and n+1 be two consecutive integers. Their sum is n+n+1=2n+1.

Then if a sum is greater than 15, then

2n+1>15,

2n>15-1,

2n>14,

n>7.

The smallest n, such that n>7 is n=8, then n+1=9.

Answer: 8, 9.

You might be interested in
A missile protection system consists of n radar sets operating independently, each with probability 0.9 of detecting a missile e
stepladder [879]

Answer:

A.) The probability that the missile is not detected by any of n sets = (1-0.9)^n = 0.1^n.

Where it's opposite will be that the missile is detected by atleast 1 of the sets. Which will be equals to 1-(0.1)^n.

B.) 0.999= 1-(0.1)^n

Here n=3

For, 0.999999=1-(0.1)^n

n=6.

C.) If n=5

5C4*(0.9)^4*(0.1)^1= 0.32805

6 0
3 years ago
If x^2 + xy = 20 and dx/dt = -4 when x = -5 and y = 1, what is dy/dt
SpyIntel [72]

Answer:

3.2

Step-by-step explanation:

x² + xy = 20

Take the derivative with respect to time:

2x dx/dt + x dy/dt + y dx/dt = 20

(2x + y) dx/dt + x dy/dt = 20

Given x = -5, y = 1, and dx/dt = -4:

(2(-5) + 1) (-4) + (-5) dy/dt = 20

(-10 + 1) (-4) − 5 dy/dt = 20

36 − 5 dy/dt = 20

5 dy/dt = 16

dy/dt = 3.2

7 0
3 years ago
Race Times
schepotkina [342]

Answer:

B) The median will increase.

Step-by-step explanation:

he original median was 35 and the new median is 36. The median will increase.

7 0
3 years ago
A quadrilateral has congruent diagonals. It is probably a( n) ______.
____ [38]
<span>A quadrilateral has congruent diagonals. It is probably a <u>Square</u></span>
7 0
3 years ago
What is your current debt ratio as a percentage to the nearest hundredth?
olasank [31]

Answer:

Step-by-step explanation: see attachment below

4 0
4 years ago
Other questions:
  • One number is eight more than twice another. If their difference is 25, what is the larger number?
    6·1 answer
  • Simplify<br>2<br><img src="https://tex.z-dn.net/?f=%20%5Cs%20%5Csqrt%7Bx%20%7B%20%7D%20%5E%7B2%7D%20-4x%20%2B%204%7D%20" id="Tex
    14·2 answers
  • Why mathematicians use radicals instead of decimals?
    8·1 answer
  • Add.<br> 8/9x +11/15x<br> please help
    15·1 answer
  • Solid:<br> What is the surface area of the pyramid?<br> units
    13·1 answer
  • Find out the output, k, when the input, x, is -5. K=6x+100
    10·1 answer
  • £410 is divided between Gordon, Malachy &amp; Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as
    5·1 answer
  • A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$140​, what would the typical tip​ be?
    6·1 answer
  • ILL GIVE BRAINLIEST IF ANSWERED GOOD. DUE IN AN HOUR.. Write a quadratic equation that is the same width as y = -2x^2+ x + 1.
    5·1 answer
  • 2x + 5y = 14 4x + 2y = -4 solving with elimination​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!