A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)Count the number of ways in which four cards, each of a different face value, can be chosen.
ways

Answers

Answer 1
Answer:

Answer:

17160

Step-by-step explanation:

first there are 13 options

then there are 13 - 1 that was chosen

then there are 13 - 2 that were chosen

then there are 13 - 3 that were chosen

so that's 13 options, then 12 options, then 11 options, and then 10 options

and in order to figure out all of the possibilties we mutiply the options so

13*12*11*10 = 17160

little further explaining of why this works:

we have a set of letters (3 in a set)

A B C

what are the possible combinations?

AB

AC

BC

BA

CA

CB

the answer is 6 which is also 3 * 2 * 1 = 6

HOPE THAT HELPS!1! ^_^


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too hard Step-by-step explanation:

The center of the circle is located (3'8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle

Answers

9514 1404 393

Answer:

  x² +y² -6x -16y +48 = 0

Step-by-step explanation:

Given:

  • circle center: (3, 8)
  • circle radius: 5

Find:

  general form equation for the circle

Solution;

The standard form equation for the circle is ...

  (x -h)² +(y -k)² = r² . . . . . circle with radius r centered at (h, k)

  (x -3)² +(y -8)² = 5²

Subtracting 25 and expanding this will give the general form.

  x² -6x +9 +y² -16y +64 -25 = 0

  x² +y² -6x -16y +48 = 0

_____

Additional comment

"General form" of an equation is usually the form f(x,y) = 0, where f(x, y) is written in "standard form," with terms in lexicographical order and decreasing degree.

A circle is divided into 6 equal parts. What is the angle measure of 1 part?

Answers

The angle measure of one part will be 60.

360/6 = 60 

That is because the circle it divided into 6 equal parts and the whole circle is 360.

Hope this helps :)

Need help due 3 minutes!!!!!

Answers

Answer:

in standered form -

3x²+4x−14=0

Step-by-step explanation:

Hope this helps :)

(15 POINTS) (FOLLOW DIRECTIONS ON ATTACHMENT!)

Answers

Answer:

1. 5 / 6

2. 1 / 3

3. 3 / 6 or  1 / 2

Step-by-step explanation:

The probability that A is not yellow is 5 / 6

The probability that B is blue is 1 / 3

The probability that A is red is 3 / 6 or 1 / 2

Write the expression multiply 0.035 times of a power of 10 so that the product is greater than one by less than 100

Answers

Answer:

0.035* 10^(3)

0.035* 10^(2)

Step-by-step explanation:

Given the number: 0.035 which has three decimal place

  • Case 1:  if we multiply  by 10

=> we have: 0.035*10 = 0.35

Hence, the product 0.35 which is smaller than 1 (we do not accept)

  • Case 2:  if we multiply  by 1000

=> we have: 0.035*1000 = 35

Hence, the product 35 which is greater than 1 and less than 100

  • Case 3:  if we multiply  by 100

=> we have: 0.035*100= 3.5

Hence, the product 3.5 which is greater than 1 and less than 100

  • Case 4:  if we multiply  by 10000

=> we have: 0.035*10000= 350

Hence, the product 350 which is greater than 100 (we do not accept)

Therefore, we have two expression:

0.035* 10^(3)

0.035* 10^(2)