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
Alexxx [7]
3 years ago
6

There are five seniors in a class. For each situation, write how the binomial formula is used to calculate the probability.

Mathematics
1 answer:
ololo11 [35]3 years ago
8 0
A) The answer is 5.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
<span>I choose one senior: r = 1
</span>
nCr = n! / (r! (n - r)!)
5C1 = 5! / (1! (5 - 1)!)
       = (5 * 4 * 3 * 2 * 1) / (1 * 4!)
       = 120 / (4 * 3 * 2 * 1)
       = 120 / 24
       = 5

b) The answer is 10.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose two seniors: r = 2

nCr = n! / (r! (n - r)!)
5C2 = 5! / (2! (5 - 2)!)
       = (5 * 4 * 3 * 2 * 1) / ((2 * 1) * 3!)
       = 120 / (2 * (3 * 2 * 1))
       = 120 / (2 * 6)
       = 120 / 12
       = 10


c) The answer is 10.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose three seniors: r = 3

nCr = n! / (r! (n - r)!)
5C3 = 5! / (3! (5 - 3)!)
       = (5 * 4 * 3 * 2 * 1) / ((3 * 2 * 1) * 2!)
       = 120 / (6 * (2 * 1))
       = 120 / (6 * 2)
       = 120 / 12
       = 10


d) The answer is 5.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose four seniors: r = 4

nCr = n! / (r! (n - r)!)
5C4 = 5! / (4! (5 - 4)!)
       = (5 * 4 * 3 * 2 * 1) / ((4 * 3 * 2 * 1) * 1!)
       = 120 / (24 * 1)
       = 120 / 24
       = 5


e) The answer is 1.

nCr = n! / (r! (n - r)!)
n - number of things to be chosen from
r - number of chosen things

There are five seniors in a class: n = 5
I choose five seniors: r = 5

nCr = n! / (r! (n - r)!)
5C5 = 5! / (5! (5 - 5)!)
       = (5 * 4 * 3 * 2 * 1) / ((5 * 4 * 3 * 2 * 1) * 1!)
       = 120 / (120 * 1)
       = 120 / 120
       = 1
You might be interested in
What is the vertex of the parabola whose equation is y = (x + 1)^2 + 3?
dalvyx [7]
The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3) 

If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0 
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
5 0
3 years ago
Surface area of 9cm, 10cm, and 15cm
AVprozaik [17]

Answer: The answer is 750 cm

8 0
3 years ago
A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
Anton [14]

Answer:

Height of cylinder is \frac{4}{5}\ ft.

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

R = \dfrac{D}{2}

So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

V = \pi R^{2} H

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

V = \dfrac{36 \pi}{5} ft^{3}

Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

Hence, Height of cylinder is \frac{4}{5}\ ft.

7 0
3 years ago
What logarithmic function represents the data in the table? x f(x) 25 2 125 3 625 4
Ray Of Light [21]
\bf recall\\\\&#10;log_{{  a}}{{  b}}=y \iff {{  a}}^y={{  b}}\qquad\qquad &#10;{{  a}}^y={{  b}}\iff log_{{  a}}{{  b}}=y \\\\&#10;-----------------------------\\\\&#10;thus\qquad &#10;\begin{array}{cc|llll}&#10;x&y&5^y=x\\&#10;\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\&#10;25&2&5^2=25\\&#10;125&3&5^3=125\\&#10;625&4&5^4=625\\&#10;\end{array}&#10;\\\\\\&#10;\textit{so hmmm what would that be in log notation? }\  5^y=x \iff \boxed{?}
6 0
3 years ago
Read 2 more answers
..........................
Rainbow [258]
Option A

x+8=-3
x+8-8=-3-8
x=-11


Hope I didn't mess up for your sake!
7 0
3 years ago
Other questions:
  • PLEASE ANSWER + BRAINLIEST!!!
    10·1 answer
  • Raisins cost $0.97 Per pound Michael brought Per pound Michael $15.52 Worth of raisings. how many pounds of raisin did he b of r
    10·1 answer
  • Dummy variables and autocorrelation. refer to the savings–income regression discussed in chapter 9. using the data given in tabl
    8·1 answer
  • What is y-6 = 2(x+5) in standard form?
    12·1 answer
  • Jess borrows 250 from the bank. The band chargEs 11% simple interest over 2 years.
    8·1 answer
  • Yolanda runs 5 miles in 38 minutes how much would she run in 57 minutes​
    11·2 answers
  • A parallelogram has an area of 324 square feet. A circle has the same area. What is the approximate circumference of the circle.
    10·1 answer
  • (8 x 3) - ( 8 x 1) = x ( 3 - 1
    7·1 answer
  • Ben plants 6 rows of roses, with the same number of roses in each row.
    5·1 answer
  • 20 points and 5 stars..........
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!