All categories

3 years ago

Please help me I need this

Mathematics

2 answers:

aev [14]3 years ago

8 0

Answer:

Option B

Step-by-step explanation:

Given that there are 6 participants, Two medals are awarded as I and II to 2 persons

The two medals are different

TO find the number of ways of awarding these two medals

Consider the I award. It can be given to any one of 6 persons in 6 ways

After receiving I prize as award, he would be eliminated and remaining persons would be 5

No of ways of distributing II medal to 5 person = 5 ways

Hence total no of ways = 6(5) =30

In other words, this is a quesiton of permutation 6P2 = 30

sertanlavr [38]3 years ago

4 0

Answer:

Option B is correct, i.e. 30 ways.

Step-by-step explanation:

Given that there are 6 runners at a competition. So it means n = 6.

It says 2 medals are awarded for first and second place. So it means r = 2.

Each medal is different, it means the order matters here. It is the case of Permutations, so we will use nPr formula.

Total number of ways = 6P2 = 6x5 = 30.

Hence, option B is correct, i.e. 30 ways.

You might be interested in

Jeff uses 3 fifth-size strips to model 3/5. He wants to use tenth-size strips to model an equivalent fraction. How many tenth-si

sergiy2304 [10]

Sixteen. For the fraction 6/10 which is equivalent to 3/5

4 0

2 years ago

Read 2 more answers

A city police force is made up of 24% females. If there are 72 females on the force, how many males are on the force?

erastovalidia [21]

Answer:

228 males

Step-by-step explanation:

Let x be the number of males.

This means x + 72 is the total number of people.

So $\frac{72}{x+72}$ is the fraction of females in the force.

Thus, we can form the equation:

$\frac{72}{x+72} = 0.24$

$x+72 = \frac{72}{0.24}$

$x = \frac{72}{0.24} -72$

$x = 228$

Thus, the answer is 228 males.

6 0

2 years ago

how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antif

Fynjy0 [20]

Let x=gallons of 80% solution to be mixed
x+80=gallons go final 70% mixture
..
80%*x+30%*80=70%*(x+80)
.8x+24=.7x+56
.1x=32
x=320
gallons of 80% solution to be mixed=320

3 0

3 years ago

Please explain number 10 in a step by step process.

Aleonysh [2.5K]

Good evening ,

______________

Answer:

a=3

___________________

Step-by-step explanation:

Look at the photo below for the answer.

3 0

2 years ago

Read 2 more answers

Find the values of X and Y that makes these triangles congruent by the HL theorem

muminat

Answer:

C. x = 3, y = 2

Step-by-step explanation:

If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.

Thus:

x + 3 = 3y (eqn. 1) => equal hypotenuse

Also,

x = y + 1 (eqn. 2) => equal legs

✔️Substitute x = y + 1 into eqn. 1 to find y.

x + 3 = 3y (eqn. 1)

(y + 1) + 3 = 3y

y + 1 + 3 = 3y

y + 4 = 3y

y + 4 - y = 3y - y

4 = 2y

Divide both sides by 2

4/2 = 2y/2

2 = y

y = 2

✔️ Substitute y = 2 into eqn. 2 to find x.

x = y + 1 (eqn. 2)

x = 2 + 1

x = 3

8 0

2 years ago