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
malfutka [58]
3 years ago
5

11.3.35

Mathematics
1 answer:
wel3 years ago
8 0

Answer:

The different selections possible are 12,21,759.

Step-by-step explanation:

Given:

Number of different numbers available, n = 45 ( 1 to 45)

Number of numbers to select, r=5

Here, order of selection is not important. So, when the order is not important or it doesn't matter how we select objects, then we use combinations formula.

Number of ways of selecting 'r' distinct objects from a collection of 'n' different objects is given as:

_{r}^{n}\textrm{C}=\frac{n!}{r!(n-r)!}

Here, 'n' = 45, 'r' = 5. Therefore,

_{5}^{45}\textrm{C}=\frac{45!}{5!(45-5)!}\\_{5}^{45}\textrm{C}=\frac{45!}{5!(40)!}\\_{5}^{45}\textrm{C}=\frac{45\times 44\times 43\times 42\times 41\times 40!}{5\times 4\times 3\times 2\times 1\times (40)!}\\\textrm{Cancelling out same terms, we get:}\\_{5}^{45}\textrm{C}=\frac{45\times 44\times 43\times 42\times 41}{5\times 4\times 3\times 2\times 1}=12,21,759

Therefore, the different selections possible are 12,21,759.

You might be interested in
7,000 is ten times as much as what number
Nezavi [6.7K]
700. To find out what number a value is ten times as much as, divide by 10.
5 0
3 years ago
A bakery used 25% more butter this month that last month. If the bakery used 240 kilograms of butter last month, how much did it
SCORPION-xisa [38]

Answer:

300kg

Step-by-step explanation:

240(25/100)

240(.25) = 60

25% of 240 = 60, so add that 60 to get an extra 25% for this month

240 + 60 = 300

6 0
3 years ago
Read 2 more answers
The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
3 years ago
PLEASE HELP ME WITH THIS
Harrizon [31]

Answer:

The last option.

Step-by-step explanation:

Hope this helps!

Wait hold on

6 0
3 years ago
Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
Masja [62]

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

--------------------------------------------------------------------------------

h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


6 0
3 years ago
Other questions:
  • What two rational numbers are less than 1.6 but greater than -1.6
    14·1 answer
  • 180% as a decimal in simplest form
    8·1 answer
  • On the first day of a measles outbreak at a school, 5 students were identified to have the measles. Each day for the following t
    12·1 answer
  • Which expression best represents the difference between triple a number and double a number?
    9·1 answer
  • Expand and simplify : A) (x+7)(x+10). B) (X-3) (X-9)
    11·1 answer
  • For the function f(x) = - 3x + 7 f(- 8) = _<br> f(-8) = (Simplify your answer)
    5·1 answer
  • Can you please help me? This is due soon
    9·1 answer
  • A pond is being filled by two water lines.
    10·1 answer
  • Which statement is not always true for a parallelogram?
    7·2 answers
  • PLEASE HELP!!! asappp i dont understand
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!