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2 years ago

14

A bag contains 26 tiles, each marked with a different letter of the alphabet. What is the probability of being able to spell the

word math with four randomly selected tiles that are taken from the bag all at the same time?

1 answer:

stealth61 [152]2 years ago

7 0

26P4 is fine to start but needs to be adjusted

26P4
-------=26C4
4!

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

or

$xy = 9 - - - (2)$

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and

$\frac{x + y}{2} = 5$

or

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago

katie bought 4 sweaters that each cost the same amount and 1 skirt that costs 20$. The items she bought cost a total of 160$ bef

Alika [10]

Hello, in order to solve this you first need to take $20 subtracted from 160 that leaves you with 140 next because she bought 4 sweaters you need to divide your remaining cash spent by 4 to get a total of $35 a sweater.

I hope this is what you were looking for, have a great day!

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2 years ago

The pet store has 18 dogs toys for sale. 10 toys are frisbees and the rest are bones. What is the ratio of bones to frisbees in

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Answer:

4 : 5

Step-by-step explanation:

18 - 10 = 8 (Bones)

Bones to frisbees

8 : 10

Simplest form which is divided by 2 for each number:

4 : 5

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2 years ago

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lara [203]

Answer:

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Step-by-step explanation:

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2 years ago

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Which step is incorrect and what is the correct answer?

Anit [1.1K]

Answer:

Step 4, x = 3

Step-by-step explanation:

Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:

6x = 18

x = 3

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2 years ago