A card is randomly drawn from an ordinary deck of playing cards. What is the probability that the card is a king or a diamond?

33%

Step-by-step explanation:

An ordinary deck of cards has 52 cards in total.

There are 4 kings in an ordinary deck of cards. So the possibility of drawing a king is 4/52.

There are 13 diamond cards in an ordinary deck of cards. So your chances of drawing a diamond are 13/52.

Now 'OR' = add and 'AND' = multiply.  

So 4/52 + 13/52 = 17/52.

17/52 = .326 --> Round up = .33 --> Change to percentage: 33%.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.