Answer:
a. 3/13 or 23.08%
b. 1/13 or 7.69%
c. 1/4 or 25.00%
d. 1/52 or 1.92%
Step-by-step explanation:
Number of cards in a deck = 52
a. A face card
Considering there are four suits and each suit has three different face cards, the probability that the card is a cafe card is:
b. A queen
There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:
c. A spade
There are four suits with the same number of cards in a deck, therefore, the probability of getting a spade is:
d. A jack of spades
Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:
5-2(x+2)=12. 3(x+2)=12. 3x+6=12.
-6. -6
3x=6. Divide 6 by 3x. x=2
Answer:
True
Step-by-step explanation:
For a compound inequality using the word "or" to be true, all you need is for one of the parts to be true.
-6 < 7 is true
-2 <= -2 is also true
Answer: True
*see attachement for diagram
Answer:
40.4 ft
Step-by-step explanation:
Let the part that broke away be represented as "x"
Thus, the digram makes a right triangle shape.
The closest total length of tree before the storm = x + 14 ft
Apply trigonometric function to find x.
Reference angle = 58°
Side adjacent to reference angle = 14 ft
Hypotenuse = x
Apply CAH, which is:
Cos 58 = adj/hyp
Cos 58 = 14/x
x * Cos 58 = 14
x = 14/Cos 58
x = 26.4191188 ≈ 26.4 ft
✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft
