The value of the expression is 19
Step-by-step explanation:
- Step 1: Find the value of 9(n + 2) - 5n when n = 1/4
⇒ 9(n + 2) - 5n = 9(1/4 + 2) - 5 × 1/4
= 9(9/4) - 5/4
= 81/4 - 5/4 = 76/4 = 19
The fraction computed shows that the total quantity of meat that Joy bought is 5/6kg.
<h3>How to solve the fraction?</h3>
The fraction can be explained thus: Joy bought 1/2kg of meat from a store and bought 1/3kg of meat from store B. What is the total quantity of meat that Joy bought?
The total quantity of meat that Joy bought will be:
= 1/2 + 1/3
= 5/6
In conclusion, the correct option is 5/6kg.
Learn more about fractions on:
brainly.com/question/78672
Answer: 0.02257
Step-by-step explanation:
Given : Total cards in a deck = 52
Number of ways to select any 5 cards : ![^{52}C_5](https://tex.z-dn.net/?f=%5E%7B52%7DC_5)
Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).
Of each kind , there are 4 cards.
Number of ways to select three cards in a five card hand of a single kind : ![^{4}C_3\times^{48}C_2](https://tex.z-dn.net/?f=%5E%7B4%7DC_3%5Ctimes%5E%7B48%7DC_2)
Number of ways to select three cards in a five card hand of a exactly three of a kind : ![13\times^{4}C_3\times^{48}C_2](https://tex.z-dn.net/?f=13%5Ctimes%5E%7B4%7DC_3%5Ctimes%5E%7B48%7DC_2)
Now , the required probability = ![\dfrac{13\times^{4}C_3\times^{48}C_2}{^{52}C_5}](https://tex.z-dn.net/?f=%5Cdfrac%7B13%5Ctimes%5E%7B4%7DC_3%5Ctimes%5E%7B48%7DC_2%7D%7B%5E%7B52%7DC_5%7D)
![=\dfrac{13\times4\times\dfrac{48!}{2!46!}}{\dfrac{52!}{5!47!}}\\\\\\=\dfrac{58656}{2598960}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B13%5Ctimes4%5Ctimes%5Cdfrac%7B48%21%7D%7B2%2146%21%7D%7D%7B%5Cdfrac%7B52%21%7D%7B5%2147%21%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B58656%7D%7B2598960%7D)
![=0.022569027611\approx0.02257](https://tex.z-dn.net/?f=%3D0.022569027611%5Capprox0.02257)
∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257