Answer: 1: multiply the numbers
2: Evaluate the exponent
3: solution 159/16
Step-by-step explanation:
A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8,
Inessa [10]
Answer:
P(a pair with matching cards in different suits) = 1/52
Step-by-step explanation:
We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.
Thus;
Probability of selecting one card of a particular suit = 13/52 = 1/4
If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.
Thus; probability = 3/39 = 1/13
Thus;
P(a pair with matching cards in different suits) = 1/4 × 1/13
P(a pair with matching cards in different suits) = 1/52
The volume of the air mattress in liters is 385.43 liters approx.
<h3>What is ideal gas law?</h3>
For an ideal gas(or a gas that behaves sufficiently like an ideal gas), we have the following relation:
where, the symbol denotes:
- P = Pressure of the gas
- V = volume of the gas
- T = temperature of the gas
- n = count of moles of the gas
- R = universal gas constant = 8314.46261815324
For the given case, the gas in the air mattress has following properties:
P = 3.5 kilopascals =3500 pascals
T =295 K
n = 0.55 moles
V = volume of gas in air mattress = volume of mattress (to evaluate).
Thus, using the ideal gas law, we get:
Thus, the volume of the air mattress in liters is 385.43 liters approx.
Learn more about ideal gas law here:
brainly.com/question/4147359
Interest due at the end of 120 days
= 8500(120/365)(.09) = 251.51
so of his $4000 payment, $3748.49 will go towards reducing the debt.
so balance owing = 8500 - 3748.49
= 4751.51
interest for the remaining 80 days
= 4751.51(.09)(80/365) =93.73
total owing at the end = 4751.51+93.73
= $4845.23
