probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
<u>Step-by-step explanation:</u>
Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:
A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒ 
⇒ 
A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒ 
⇒ 
⇒ 
Therefore, probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
, where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be 
cm.
Now we will divide 70,650 cubic cm of wax by volume of one candle.
Therefore, 40 candles can be made from 70,650 cubic cm of wax.
Answer:
$286
Step-by-step explanation:
220:100=2.2
2.2 x 30 = 66
220+66=286
Answer:
hello : sin(θ) = 4/25
Step-by-step explanation:
you know : cos²(θ) + sin²(θ) =1 and : cos(θ) = - 3/5
(-3/5)² + sin²(θ) =1
9/25 + sin²(θ) =1
sin²(θ) =1 -9/25
sin²(θ) = 16/25
sin(θ) = 4/25 or sin(θ) = - 4/25
in quadrant 2 : sin(θ) > 0
so : sin(θ) = 4/25
