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2 years ago

Find x 1. 2 square root 6. 2. 6 square root 2. 3. 12. 4. 8

Mathematics

1 answer:

kolbaska11 [484]2 years ago

7 0

Answer:

sin45°= opp/hyp

opp= 6

hyp=x

sin45°=6/x

x=6÷0.7071

x=8.49

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In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the

Volgvan

Answer:

$P =4.83\%$

Step-by-step explanation:

First we calculate the number of possible ways to select 2 cards an ace and a card of 10 points.

There are 4 ace in the deck

There are 16 cards of 10 points in the deck

To make this calculation we use the formula of combinations

$nCr=\frac{n!}{r!(n-r)!}$

Where n is the total number of letters and r are chosen from them

The number of ways to choose 1 As is:

$4C1 = 4$

The number of ways to choose a 10-point letter is:

$16C1 = 16$

Therefore, the number of ways to choose an Ace and a 10-point card is:

$4C1 * 16C1 = 4 * 16 = 64$

Now the number of ways to choose any 2 cards from a deck of 52 cards is:

$52C2 =\frac{52!}{2!(52-2)!}$

$52C2 = 1326$

Therefore, the probability of obtaining an "blackjack" is:

$P = \frac{4C1 * 16C1}{52C2}$

$P = \frac{64}{1326}$

$P = \frac{32}{663}$

$P =0.0483$

$P =4.83\%$

4 0

3 years ago

Read 2 more answers

Find the average of the following set of numbers.<br> 14, 15, 24, -5, -2

I am Lyosha [343]

Answer:

the answer is 8

Step-by-step explanation:

5 0

2 years ago

1 . Solve 4x + 5 > 5x − 2 for x.

Kobotan [32]

I will do number 1 only. You can then use my solution steps to do the rest.

Solve 4x + 5 > 5x − 2 for x.

4x + 5 > 5x − 2

4x - 5x > - 2 - 5

-x > -7

Dividing both sides by a negative number reverses the inequality sign. In other words, the sign > becomes < in the reply.

-x/-1 < -7/-1

x < 7

Answer: x < 7

The answer here means that whatever the value of x is for question 1, it must be less than 7.

You finish.

7 0

3 years ago

The record high January temperature in Austin, Texas, is 90 °F. The record low January is -2 °F. Find the difference between the

Setler [38]

90 - (-2) = 90 + 2 = 92....there is a difference of 92 degrees between the high and the low

3 0

3 years ago

If x, y, and z are positive integers such that xyz+30xy+21xz+2yz+105x+10y+7z=812, find x+y+z.

Ket [755]

Answer:

x= 2, y= 2, and z= 6

Step-by-step explanation:

If this is a Diophantine equation, add 35 to both sides and factor the left:

(3x+1)(2y+7)(z+5) = 847 = 7 times 112

Each integer factorization of 847 into 3 factors leads to a different number/value of x, y, and z. If the first factor, (3x+1), is 1 more than a multiple of 3, and the second factor, (2y+7), is odd, then x, y, and z will be integers.

For example:

847 = 121 times -7 times -1 gives (x, y, z) = (40, -7, -6) because 121 times -7 times -1 is 847 as well, it checks out.

If x, y, and z need to be positive, then the three numbers/factors need to be greater than 1, 7, and 5. The only combination that works is 7 times 11 times 11, which gives (x, y, z) = (2, 2, 6).

6 0

3 years ago