The probability that Terri will draw a heart and then a red face card from a standard 52-card deck is . Using this probability, determine if the event of drawing a heart and the event of drawing a red face card was independent, dependent, both, or neither.

Step-by-step explanation:

Here, the total number of cards in a deck = 52

The total number of heart cards  =  13

The total number of red faces in the deck  = 6 ( 3 of heart and 3 of diamonds)

Now, out of the TOTAL 6 red face cards, 3 are of hearts.

So, (Red cards) ∩ (Heart cards)  = 3 cards ( J, Q and K)

Now let E : Event of picking card which is of heart.

So, the probability of picking a heart =

Now let F : Event of picking card which is of red face.

So, the probability of picking a red face card  =

Hence, the both events E and F are not independent as the intersection of outcomes of both the events is 3  and  not equal to .

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!