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Masja [62]
3 years ago
12

Question 7: What is the probability of drawing the complement of a king or a queen from a standard deck of

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Answer:

The probability will be "0.8462". The more clarification is provided follows.

Step-by-step explanation:

K = King

Q = Queen

As we know, there are four Kings and four Queens in a pack of 52 cards.

∴ 4+4=8 (King and Queen)

So that the probability will be:

⇒  P((K\cup Q)^8)=1-P(K\cup Q)

⇒                       =1-\frac{8}{52}

⇒                       =0.8462

So that the above will be the right answer.

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Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 8 feet,
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

The three pieces of fencing he has to use are 8 feet, 15 feet, and 20 feet long. For him to be able to make a right triangle with his fence, the length of the sides must form a Pythagoras triple. To determine if the lengths make a Pythagoras triple, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent².

Therefore

20² = 8² + 15²

400 = 64 + 225 = 289

Since they are not equal, it means that they do not form Pythagoras theorem, thus,.

He will not be able to make a right triangle with his fence.

6 0
3 years ago
Choose the algebraic expression that matches the phrase below. <br>h increased by 5​
schepotkina [342]

Answer:

h + 5

Step-by-step explanation:

increased = add so yeah...

3 0
3 years ago
How would a bigger down payment be beneficial to borrowers? a. A bigger down payment is only beneficial for a person applying fo
lawyer [7]

The correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

<h3>What is interest?</h3>

The amount of money a lender or financial organization earns for lending out money is known as interest.

We know that monthly payments include the interest on the principal amount that is not been paid during the purchase of an item, if the down payment is more than the principal amount that the customer does not pay will decrease which will decrease the loan amount, thus, the interest on the principal amount will decrease as well.

Now, as the interest and the principal amount have both is been reduced, therefore, the monthly instalment(monthly payment) will be reduced as well.

Hence, the correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

Learn more about Interest:

brainly.com/question/2793278

3 0
2 years ago
3 Write an expression<br> to represent:<br> "Twice a number 51<br> increased by 51"
Darya [45]

Answer:

51x 3+51 is the answer from my side

5 0
2 years ago
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang
Vladimir [108]

Answer:

cos^2\theta + sin^2\theta = 1

Step-by-step explanation:

Given

(\frac{b}{r})^2  + (\frac{a}{r})^2

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = (\frac{r}{r})^2

Going by the Pythagoras theorem, we can assume the following.

  • a = Opposite
  • b = Adjacent
  • r = Hypothenuse

So, we have:

Sin\theta = \frac{a}{r}

Cos\theta = \frac{b}{r}

Having said that:

The expression can be further simplified as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1

Substitute values for sin and cos

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1 becomes

cos^2\theta + sin^2\theta = 1

3 0
3 years ago
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