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padilas [110]
3 years ago
12

PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS

Mathematics
2 answers:
pentagon [3]3 years ago
5 0

I cant really see that- could you tell me what that is?

ad-work [718]3 years ago
5 0

Answer:

83

Step-by-step explanation:

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1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?
DerKrebs [107]

Answer:

84.85cm

Step-by-step explanation:

Let the sides of the square be x

The perimeter of the square = 4x

Get x using the pythagoras theorem

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

x = 21.21cm

Perimeter of the plate = 4(21.21)

Perimeter of the plate = 84.85cm

6 0
3 years ago
- 12 = 2/9 x Solve please
andriy [413]

2/9X=-12

2X=-118

X=-59

5 0
3 years ago
Suppose that you are given a bag containing n unbiased coins. You are told that n-1 of these coins are normal, with heads on one
gladu [14]

Answer:

The (conditional) probability that the coin you chose is the fake coin is 2/(1 + n)

Step-by-step explanation:

Given

Total unbiased coin = n

Normal coins =n - 1

Fake = 1

The (conditional) probability that the coin you chose is the fake coin is represented by

P(Fake | Head)

And it's calculated as follows;

P(Fake | Head) = P(Fake, Head) ÷ P(Head) ----- (1)

Where P(Fake, Head) = P(Fake) * P(Head | Fake)

P(Fake) = 1/n --- because only one is fake

P(Head | Fake) = n/n because all coins (including the fake) have head

So, P(Fake, Head) = P(Fake) * P(Head | Fake) becomes

P(Fake, Head) = 1/n * n/n

P(Fake, Head) = 1/n

P(Head) is calculated by

P(Fake) * P(Head | Fake) + P(Normal) * P(Head | Normal)

P(Fake) * P(Head | Fake) = P(Fake, Head) = 1/n (as calculated above)

P(Normal) * P(Head | Normal) = ½ * (n - 1)/n ----- considering that the coin also has a tail with equal probability as that of the head.

Going back to (1)

P(Fake | Head) = P(Fake, Head) ÷ P(Head) becomes

P(Fake | Head) = (1/n) ÷ ((1/n) + (½(n-1)/n))

= (1/n) ÷ ((1/n) + (½(n-1)/n))

= (1/n) ÷ (1/n + (n - 1)/2n)

= (1/n) ÷ (2 + n - 1)/(2n)

= (1/n) ÷ (1 + n)/(2n)

= (1/n) * (2n)/(1 + n)

= 2/(1 + n)

Hence, the (conditional) probability that the coin you chose is the fake coin is 2/(1 + n)

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%20x%20-%202%20%5Cdiv%20x%28x%20%7B%7D%5E%7B2%7D%20%20-%204%29" id="TexFormula1" title=" -
saw5 [17]

Answer:

Step-by-step explanation:

Hello,

First of all we will take any real number x different from 0, -2, +2 as dividing by 0 is not allowed and then we can write

\dfrac{( - x - 2)}{x(x^2 - 4)}=-\dfrac{x+2}{x(x-2)(x+2)}=\large \boxed{ -\dfrac{1}{x(x-2)}}

because we know that

x^2-4=x^2-2^2=(x-2)(x+2)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55 mi/hr and the other bus averages
maks197457 [2]
If they are traveling in different directions then you add up the two mi/hr then whatever you have to multiply the sum by is the number of hours. By the way the sender is 4 hours.
3 0
3 years ago
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