The sum of two numbers is 52 and the difference is 12. What are the numbers?

Mathematics

1 answer:

ycow [4]2 years ago

3 0

Answer:

32 and 20

Step-by-step explanation:

x + y = 52

x - y = 12

2y = 40

y = 20

x = 32

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You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the

Snowcat [4.5K]

Answer:

(D) 0.006

Step-by-step explanation:

Total number of cards :52

Please note that, all cards have a the possibility of appearing 4 times.

Hence total possible number of a '2' is 4 cards and so it is also for a '10'

Having this Understanding, let's solve the question properly.

The probability that the FIRST CARD is 2 = 4/52

Probability that the second card without replacement is a 10 = 4 / 51

P( 1st two and 2nd four)

4/52 * 4/51 = 4/663

= 0.0060332

Rounding to 3 decimal places = 0.006

4 0

2 years ago

31 cars are in a race. In how many different ways can cars finish in order in the top 4 positions?

cupoosta [38]

Answer:

755,160 ways

Explanation:

We're told that 31 cars are in a race.

Considering the order in which the cars can finish in the top 4 positions, any of the 31 cars can finish in the first position, any of the remaining 30 cars can finish in the second position, any of the remaining 29 cars can finish in the third position and any of the remaining 28 cars can finish in the fourth position, so the different numbers of ways can be determined as seen below;