Nicole made 24% of her daily salary in tips, receiving 28$. What is her daily salary?
2 answers:
You might be interested in
Answer:
1. 26:5 or
or
5.2 as a decimal
2. 21:26 or
or
0.81 as a decimal
3. 21:5 or
or
4.2 as a decimal
4. 5:21 or
or
0.24 as a decimal
Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or or 0.81. We can also compare the number of vowels which is 5:26 or
A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.
21:5 or
or
4.2 as a decimal.
We can reverse and write vowels : consonants.
5:21 or
or
0.24 as a decimal.
Answer:
a) No, because you have only 33.8% of chances of winning the bet.
b) No, because you have only 44.7% of chances of winning the bet.
Step-by-step explanation:
a) Of the total amount of cards (n=52 cards) there are 12 face cards (3 face cards: Jack, Queen, or King for everyone of the 4 suits: clubs, diamonds, hearts and spades).
The probabiility of losing this bet is the sum of:
- The probability of having a face card in the first turn
- The probability of having a face card in the second turn, having a non-face card in the first turn.
- The probability of having a face card in the third turn, having a non-face card in the previous turns.
- The probability of having a face card in the fourth turn, having a non-face card in the previous turns.
<u><em>1) The probability of having a face card in the first turn</em></u>
In this case, the chances are 12 in 52:
<u><em>2) The probability of having a face card in the second turn, having a non-face card in the first turn.</em></u>
In this case, first we have to get a non-face card (there are 40 in the dech of 52), and then, with the rest of the cards (there are 51 left now), getting a face card:
<u><em>3) The probability of having a face card in the third turn, having a non-face card in the first and second turn.</em></u>
In this case, first we have to get two consecutive non-face card, and then, with the rest of the cards, getting a face card:
<u><em>4) The probability of having a face card in the fourth turn, having a non-face card in the previous turns.</em></u>
In this case, first we have to get three consecutive non-face card, and then, with the rest of the cards, getting a face card:
With these four probabilities we can calculate the probability of losing this bet:
The probability of losing is 66.2%, which is the same as saying you have (1-0.662)=0.338 or 33.8% of winning chances. Losing is more probable than winning, so you should not take the bet.
b) If the bet involves 3 cards, the only difference with a) is that there is no probability of getting the face card in the fourth turn.
We can calculate the probability of losing as the sum of the first probabilities already calculated:
There is 55.3% of losing (or 44.7% of winning), so it is still not convenient to bet.