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juin [17]
2 years ago
12

Ten weight lifters are competing in a team weight-lifting contest. Of the lifters, 3 are from the United States, 4 are from Russ

ia, 2 are from China, and 1 is from Canada. If the scoring takes account of the countries that the lifters represent, but not their individual identities, how many different outcomes are possible from the point of view of scores? How many different outcomes correspond to results in which the United States has 1 competitor in the top three and 2 in the bottom three?
Mathematics
1 answer:
ruslelena [56]2 years ago
5 0

Answer:

(a) 65536 - the basic principle of counting

(b) 2520 - use the multinomials.  

Step-by-step explanation:

Divide 8 people among 4 schools

The teachers are different among themselves, and so are the schools.  

(a)

Every teacher can choose a school. By the basic principle of counting: 4.4.4.4.4.4.4.4 = 4^8 = 65536

different divisions of the teachers

Note: this does not ensure that every school gets a teacher  

(b) - <u>Every school gets precisely 2 teachers:</u>

to divide 8 different objects into four groups of fixed sizes 2, 2, 2 and 2, use the multinomial coefficient  

( 8   2, 2, 2, 2) = (8!)/(2!2!2!2!) ==> 2520

different divisions of the teachers

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What is the answer to (8y -6
scZoUnD [109]

Answer:

Step-by-step explanation:

Incomplete presentation of question.  Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)?  Or something else?  Also:  please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

6 0
2 years ago
Y = – 3
KonstantinChe [14]

The  best approximation for the solution to this system of equations is (-2.2,-3)

Option C is correct.

Step-by-step explanation:

Solving the system of equations to get the exact value of x:

y = -3\\y = x-0.8

Let

y = -3\,\,eq(1)\\y = x-0.8\,\,eq(2)

Putting value of y from eq(1) into eq(2)

-3=x-0.8

x=-3+0.8

x=-2.2

So, Value of x is -2.2

The  best approximation for the solution to this system of equations is:

x=-2.2 and y = -3

(-2.2,-3)

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
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  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
Lacy has a $1000 bond with a 6.2% coupon that she purchased for $1025. What is the yield of this bond? Round your answer to 2 de
Ede4ka [16]
So the question is asking what is 6.2% of 1000? Then rounding our decimals? 
4 0
2 years ago
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Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.18 cm and a height of 6
nordsb [41]

First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3

V = Pie * radius squared* height.

Pie is 3.142

radius is 6.18/2 = 3.09 cm

height is 6cm

V = 3.142 * 3.09 * 3.09 * 6

V = 180cm3

Now we divide the volume of this cylinder with the volume of block of gold.

360/180 = 2

So it will take 2 cylinders to mold one block of gold.

6 0
3 years ago
Please help me,please and thank you :)
nika2105 [10]

Answer: 4

36.87 degrees

Step-by-step explanation:

The figure shown is a right angled triangle. It has three sides, one of which is the longest. The longest side is called the hypotenuse. Either of the shorter sides is called the opposite and the adjacent side(always the side carrying both the 90 degrees angle and the given angle).

Since the triangle is a right angled triangle,

We can apply Pythagoras theorem to get the opposite side.

Hypothenuse ^2 = opposite ^2 + adjacent ^2

5^2 = 4 ^2 + opposite ^2

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Let the angle be # degrees,

Cos # = adjacent / hypothenuse

= 4/5 = 0.8

# = cos^-1 (0.8) = 36.87 degrees

7 0
3 years ago
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