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vekshin1
3 years ago
10

Pita has 12 coins in her bag there are three 1 pound coins and nine 50p coins she takes 3 coins out of the bag at random, work o

ut the probability she takes out exactly £2.50 as a fraction
Mathematics
1 answer:
Alexeev081 [22]3 years ago
6 0

Answer:

27/220.  

Step-by-step explanation:

To get £2.50 Pita has to take two pound coins and one 50p coin.

The probability of picking £1 then £1 then 50 p =  3/12 * 2/11* 9/10

= 9/220.

The number of possible arrangements of  2 pounds and 1 50p

= £-£-50, £-50-£ and  50-£-£.

= 3

So the required probability = 3 * 9/220

= 27/220.

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<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is \pi r^{2} \frac{h}{3}.

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

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Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

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<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is a = \frac{1}{2} h(b_{1} +b_{2} )

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

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