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3 years ago

Ten runners join a race. In how many possible ways can they be arranged as first, second, and third placer? Pls answer

2 answers:

7 0

Ans: 720

This is equal to the number of different arrangements of three persons from a group of 10 persons 

Required number of ways = 10P3 = 720

OR can be solved in this way
select 3 runners (10C3 ways)
These 3 runners can be arranged in 3! ways
Total = 10C3×3! = 720 .hope i was able to help :)

Daniel [21]3 years ago

5 0

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A rectangle has an area of 90 square centimeters and a height of 12.5 centimeters. What is the length of the base?

Sergio [31]

Answer:

A. 7.2 centimeters

Step-by-step explanation:

The length of the base is 7.2 centimeters. The area of a rectangle is length*width

The length is unknown but the area is known. To find the length, all we have to do is divide the area from the height.

The working is as follows :

Area = 90 cm²

Height = 12.5 cm

Length = ?

Length = Area ÷ Height

= 90 ÷ 12.5

= 7.2cm

4 0

2 years ago

(1 point) Consider the universal set U={1,2,3,4,5,6,7,8,9,10}, define the set A be the even numbers, the set B be the odd number

Sloan [31]

Answer:

a) AUC = {2,4,6,8,10}

b) BnC = {}

c) AnB = {}

d) B-C = B = {1,3,5,7,9}

Step-by-step explanation:

The set A is the even numbers, those that are divisible by two.

So A = {2,4,6,8,10}

B is the odd numbe.rs. An odd number is a number that is not divisible by two.

So B = {1,3,5,7,9}.

C = {4,5,6}, as the problem states

a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.

So AUC = {2,4,6,8,10}.

b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.

There are no elements that are in both B and C, so the intersection is an empty set

BnC = {}

c) Same explanation as b), there are no elements that are in both A and B, so another empty set.

AnB = {}

d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:

B-C = B = {1,3,5,7,9}

6 0

2 years ago

Find the slope of the line through (-11,8),(-11, -17)

Rom4ik [11]

Answer:

Undefined or Infinity

Step-by-step explanation:

(x1,y1)=(-11,8)

(x2,y2)=(-11,-17)

Slope = (y2-y1)/(x2-x1)

= (-17-8)/(-11-(-11))

= -25/0

= Undefined

5 0

2 years ago

Manny is on vacation in France. He has rented a car to drive 233.3 kilometers from Paris to Brussels and wants to figure out the

aliina [53]

233.3 times 0.62 equals (whatever) MILEs is the answer. hope it helped

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3 years ago

Nut Mix Michael and Kevin return to the candy store, but this time they want to purchase nuts. They can't decide among peanuts,

Harrizon [31]

2.5x1.30=3.25
4x4.50=18
2x3.75=7.5
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2.5+4+2=8.5lb. total weight
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3 years ago