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WINSTONCH [101]
3 years ago
10

A rectangular rug has a perimeter of 460 meters. The width of the rug is five meters more than 4 times the length. Find the

Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

Length = 45 m

Width = 185 m

Step-by-step explanation:

Given:

Perimeter of rectangular rug = 460 m

width of the rug is five meters more than 4 times the length

To find:

Width and length of rug = ?

Solution:

Let the length = l m

As per given statement,

Width = 4l+5 m

Formula for perimeter of a rectangle = 2\times (Length +Width)

460=2\times (l+4l+5)\\\Rightarrow 230 = 5l+5\\\Rightarrow l = \dfrac{225}{5} = 45\ m

Width = 4l+5 m

Width = 4\times 45+5 = 185\ m

So, the answer is:

<em>Length = 45 m</em>

<em>Width = 185 m</em>

<em></em>

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The answer is A. 
6h=51
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2 years ago
Out of every 6 students surveyed, 1 listen to country music. At that rate, how many students in a school of 1200 listens to coun
Degger [83]

Answer: 200

Step-by-step explanation:

1200 divided by 6 = 200

6 0
3 years ago
A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume
mixer [17]

Answer:

(a) 0.4096

(b) 0.64

(c) 0.7942

Step-by-step explanation:

The probability that the player wins is,

P(W)=0.80

Then the probability that the player losses is,

P(L)=1-P(W)=1-0.80=0.20

The player is playing the video game with 4 different opponents.

It is provided that when the player is defeated by an opponent the game ends.

All the possible ways the player can win is: {L, WL, WWL, WWWL and WWWW)

(a)

The results from all the 4 opponents are independent, i.e. the result of a game played with one opponent is unaffected by the result of the game played with another opponent.

The probability that the player defeats all four opponents in a game is,

P (Player defeats all 4 opponents) = P(W)\times P(W)\times P(W)\times P(W)=[P(W)]^{4} =(0.80)^{4}=0.4096

Thus, the probability that the player defeats all four opponents in a game is 0.4096.

(b)

The probability that the player defeats at least two opponents in a game is,

P (Player defeats at least 2) = 1 - P (Player losses the 1st game) - P (Player losses the 2nd game) = 1-P(L)-P(WL)

                                    =1-(0.20)-(0.80\times0.20)\\=1-0.20-0.16\\=0.64

Thus, the probability that the player defeats at least two opponents in a game is 0.64.

(c)

Let <em>X</em> = number of times the player defeats all 4 opponents.

The probability that the player defeats all four opponents in a game is,

P(WWWW) = 0.4096.

Then the random variable X\sim Bin(n=3, p=0.4096)

The probability distribution of binomial is:

P(X=x)={n\choose x}p^{x} (1-p)^{n-x}

The probability that the player defeats all the 4 opponents at least once is,

P (<em>X</em> ≥ 1) = 1 - P (<em>X</em> < 1)

             = 1 - P (<em>X</em> = 0)

             =1-[{3\choose 0}(0.4096)^{0} (1-0.4096)^{3-0}]\\=1-[1\times1\times (0.5904)^{3}\\=1-0.2058\\=0.7942

Thus, the probability that the player defeats all the 4 opponents at least once is 0.7942.

3 0
3 years ago
1) what is the answer to 5(3x-2y)+2(x+2y)-3(3x-2y)?
vichka [17]
So first we want to distribute. (#1)

So, using the distributive property, we can:

5 * 3x - 2y * 5 + 2x + 2 * 2y - 3 * 3x - 3 * 2y

or

15x - 10y + 2x + 4y - 9x - 6y

Now just combine like terms

8x -12y

So for #1 it should be a.

#2: 2x - 3 + 3x - 5

Combine Like Terms: 

2x + 3x - 3 - 5

5x - 8

So it should be b.
4 0
3 years ago
Please answer this math question please and fast
lions [1.4K]

Answer:

its do9ne

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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