All categories

4 years ago

A deck of cards is shuffled. what is the chance that the top card is the king of spades and the bottom card

1 answer:

7 0

<span>After shuffling a deck of cards in order to know the probability of the king of spades being the top card, you have to first know how many cards are in the deck. If the card is a full deck with no jokers, then the probability is 1/52. This is also the probability that the bottom card is the King of spades.</span>

You might be interested in

A right triangle has a lleg of length 16 and a hypotenuse of length 25. The length of the other leg is (Rounded to the nearest t

Wittaler [7]

Answer:

Step-by-step explanation:

1st you will use a^2+b^2=c^2

next you plug them in so it would be a^2+16^2=25^2

next you would solve it to a^2+256=625

then you would get 369 and square root it

and your answer will be 19.2.

3 0

3 years ago

avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados

EastWind [94]

Pounds will be represented by x and the cost will be represented by y. The equation is Y=3x. For the graph just use substition for x and then calculate the outcome and graph it.

4 0

3 years ago

Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo

erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

$A=P(1+\frac{r}{n})^{nt}$ , where

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ $39500=P(1+\frac{0.095}{365})^{365*10}$

∴ $39500=p(2.58539)$

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

7 0

3 years ago

PLEASE HELP!

Mariana [72]

-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2

-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------

6 0

3 years ago

what is the answer to the volleyball team at blue point high school has saved $680 and the team plans to spend no more then that

zloy xaker [14]

Answer:

6 x + 23 y < $ 680 represents the combinations of x balls and y nets that can be purchased.

Step-by-step explanation:

The number of balls than can be purchased = x

The number of nets than can be purchased = y

Total savings = $ 680

Now, the cost of 1 ball =$6

So, the cost of x balls = x ( cost of 1 ball) = x ( $6) = 6 x

Also, the cost of 1 net =$23

So, the cost of y nets = y ( cost of 1 net = y ( $23) = 23 y

So, the total amount spent on x balls and y nets

= Amount spent on x balls + Amount on y nets

= 6 x + 23 y

Also, the saved amount is $680

⇒<u> 6 x + 23 y < $ 680</u>

Hence, 6 x + 23 y < $ 680 represents the combinations of x balls and y nets that can be purchased.

4 0

3 years ago