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vovangra [49]
3 years ago
15

If the police have 9 suspects how many different ways can they select 5 for a lineup

Mathematics
1 answer:
kow [346]3 years ago
4 0
Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time.  The combinations can be shown as C(9,5), 9C5.

C(9, 5) =
9/5(9-5) = 
9*8*7*6*5 / 5*4 

The 5 terms cancel. 

9*8*7*6 / 4*3*2 = 
9*7*2 = 
126

The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126. 
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A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere c
skelet666 [1.2K]
The surface area of a sphere by definition is given by:
 A = 4 * π * r ^ 2
 Where,
 r: radius of the sphere.
 Substituting the values we have:
 294 = 4 * π * r ^ 2
 We cleared the radio:
 r ^ 2 = (294) / (4 * π)
 Answer:
 An equation that I could use to find the dome's radius is:
 A. r2 = 294 square feet ÷ 4π
7 0
4 years ago
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it. f(x) h(x)
BartSMP [9]

Answer:

Axis of symmetry for the functions f(x) and h(x) are x = 4 and x = -2 respectively.

Step-by-step explanation:

Function f(x) = -2(x - 4)² + 2

Vertex of the graph → (4, 2)

Since line of symmetry of the graph is defined by the x-coordinate of the vertex.

Therefore, x = 4 will be the line of symmetry of the function 'f'.

Second function 'h' has been given in the graph.

Vertex of the function from the graph → (-2, 2)

Therefore, line of symmetry will be x = -2

3 0
4 years ago
Factor the expression.<br> 12x+10
Zolol [24]
<h3>Answer:  2(6x+5)</h3>

Work Shown:

12x+10

2*6x+2*5

2(6x+5)

Effectively, we use the distributive property in reverse when it comes to factoring expressions like this.

The distributive property in general is a*(b+c) = a*b+a*c

3 0
2 years ago
Read 2 more answers
A rectangular greenhouse has an area of 6,480 square meters. Its length is 120 meters.
babunello [35]

Answer:

the greenhouse can hold 27 flower beds.

Step-by-step explanation:

6480 \div 240 = 27

if you need the width of the greenhouse, its

6480 \div 120 = 54

7 0
3 years ago
Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number
Marina CMI [18]

2n/3 - 11 = n + 4

Add 11 to both sides:

2n/3 = n + 15

Multiply both sides by 3:

2n = 3n + 45

Isolate n:

-n = 45

n = -45

4 0
3 years ago
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