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Sunny_sXe [5.5K]
2 years ago
8

How to solve this problem

Mathematics
1 answer:
Alex777 [14]2 years ago
3 0

Answer:

Step-by-step explanation:

Use the laws of exponents and simplify \frac{a^8}{a^6} to a^(8-6) to a^2

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A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains at least .
Tema [17]

Answer:

10%

Step-by-step explanation:

Since the question is not complete, I will be solving for probability of 3 9s

To solve this, we would be using the principle of combination, and thus

A deck of 52 hours has 4 nines, the probability that it contains at least 3 9s is mathematically represented by the equation.

P ( x ≥ 3 ) = ( 48 C 10 · 4 C 3 ) / ( 52 C 13 ) + ( 48 C 9 · 4 C 4 ) / ( 52 C 13 )

Remember I told us were going to be using the principle of combination. Well then

nCr = n!/r!(n - r)!

Now, applying the above stated formula to the equation, we have

48C10 = 48!/10!(38!)

4C3 = 4!/3!(1!)

52C13 = 52!/13!(39!)

48C9 = 48!/9!(39!)

4C4 = 4!/4!(0!)

Solving for each independently, we find that

= 0.0412 + 0.588 = 0.1

4 0
3 years ago
Why is 6/5 not equivalent to 3/2?!?!?!​
DIA [1.3K]

Answer: Both numbers 6/5 and 3/2 do not have a common denominator. Just as how 2 cannot go into 5 evenly.

7 0
3 years ago
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The sum of the digits in a two digit number is 14. If you reverse and double the original number, and then add the result to the
gtnhenbr [62]

Answer:

Step-by-step explanation:

Let the two digits be x and y, where x is the tens digit and y is the units (ones) digit.

Then the number is 10x + y.

From the question,

The sum of the digits in a two digit number is 14,

That is, x + y = 14 ....... (1)

Also, from the question,

If you reverse and double the original number, and then add the result to the original number, the sum is 222

If the number is reversed, the new number will be 10y + x; and if this is doubled, we will get 2(10y + x).

Now, if this is added to the original number (10x + y), the sum is 222.

That is,

2(10y + x) + (10x + y) = 222

Then,

20y + 2x + 10x + y = 222

12x + 21y = 222 ........ (2)

Now, we will bring the two equations together and solve simultaneously.

x + y = 14 ....... (1)

12x + 21y = 222 ........ (2)

From equation (1)

x + y = 14

Then, x = 14 - y ...... (3)

Substitute the value of x in equation (3) into equation (2)

12x + 21y = 222

12(14 - y) + 21y = 222

168 - 12y + 21y = 222

168 + 9y = 222

9y = 222 - 168

9y = 54

∴ y = 54/9

y = 6

To determine x, substitute the value of y into equation (3)

x = 14 - y

∴ x = 14 - 6

x = 8

∴ x = 8 and y = 6

Recall that, the two digits are x and y, where x is the tens digit and y is the units (ones) digit.

Hence, the original number is 86.

8 0
3 years ago
Dave is making cupcakes. He has 2 3/4 cups of batter. Dave figures that if he uses 1/4 cup of batter for each cupcake, he will b
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if he uses 1/4 cup of batter he will only have 11 cupcakes when he is done.  I have to disagree because he will be missing it by 1 cupcake.

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If there are 150 calories in 3/4 servings divide 150 by 3 and you get 50 ..you add 50 calories for the 1/4 servings which gives you 200 calories per serving
5 0
3 years ago
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