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Contact [7]
3 years ago
6

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen

, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random.
Which statements are true? Check all that apply.


The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.
Mathematics
2 answers:
vekshin13 years ago
4 0
Since order does not matter, you use a combination and not a permutation, so the first one is true, which means the second one is not true.
The probability of choosing two diamonds and three hearts can be represented by (13C2 * 13C3)/52C5, which is 0.0086, not 0.089, so the third one is not true.
The probability of choosing five spades and the probability of choosing five clubs are represented by the same thing, 13C5/52C5, which is roughly 0.0005, so the fourth one is not true but the fifth one is. So the answer is the first and fifth one.

Zina [86]3 years ago
3 0

Answer:

Option A and E are correct.

Step-by-step explanation:

You might be interested in
What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3
ArbitrLikvidat [17]
ANSWER

\boxed {( \frac{1}{2} , 1)}

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})

Using L(0,-3),N(1,5) gives,

(\frac{0+1}{2}, \frac{ - 3+5}{2})

(\frac{1}{2}, \frac{ 2}{2})

(\frac{1}{2}, 1)

Or we could have also used,M(-2,1),O(3,1) to get,

(\frac{-2+3}{2}, \frac{ 1+1}{2})

(\frac{ 1}{2}, \frac{ 2}{2})

(\frac{ 1}{2}, 1)

The correct answer is C

6 0
3 years ago
You are buying a house that cost 650,000 and you put down a down payment. you take out a loan for the remainder of the amount, o
gayaneshka [121]
<h3>Answers:</h3>

Monthly Payment = $4,702.68

Total Payments = $846,482.40

Interest = $261,482.40

Delete the dollar signs and/or commas if needed.

=====================================================

Explanation:

The down payment is 10% of the home's value

This means that the buyer pays $65,000 up front (since 0.10*650,000 = 65,000).

The remaining 650,000 - 65,000 = 585,000 dollars is loaned in the mortgage.

Or you could write it like this 95% of 650,000 = 0.95*650,000 = 585,000

-----------------

The monthly payment formula is

P = (L*i)/( 1-(1+i)^(-n) )

where,

  • P = monthly payment
  • L = amount loaned
  • i = interest rate per month in decimal form
  • n = number of months

In this case,

  • L = 585,000 dollars
  • i = 0.0525/12 = 0.004375 exactly
  • n = 15*12 = 180 months (equivalent to 15 years)

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (585000*0.004375)/( 1-(1+0.004375)^(-180) )

P = 4702.6846353538

P = 4702.68

The monthly payment is $4,702.68

-----------------

Let's now compute the total amount paid back (principal + interest)

If you pay 4,702.68 dollars per month over the course of 180 months, then you pay back a total of 4702.68*180 = 846,482.40

The total payments add up to 846,482.40 dollars.

-----------------

To compute the interest only, subtract the total payments from the amount loaned.

846,482.40 - 585,000 = 261,482.40 is the amount of interest only.

8 0
2 years ago
What digit is in the ten thousands place 1.03098 show how you got this and I will mark brainiest
Luden [163]
The 0 is in the ten thousands
3 0
3 years ago
hailey borrowed $100 from here friend she is paying here 20 per week how many weeks will it take here to pay here back?
romanna [79]

Answer: 5 weeks

Step-by-step explanation:

100 divided by 20 equals 5

4 0
3 years ago
Read 2 more answers
Please answer all questions thank you.
Ad libitum [116K]
1) 78.5/pi = 25
radius = 5
The one 5 digits away from that coordinate is (2,-1)

2) This question is area, not perimeter. The width and length has to be added by 4 because of 2 feet on both sides.
9*10 = 90 - 30 = 60

3) 25pi according to pythagorean theorem.
4 0
3 years ago
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