Answer:
Total number of required ways = 12 × 51!
Step-by-step explanation:
Number of total cards in the deck = 52
Number of face cards in the deck = 12
Now, we need to find the number of ways such that the first card is always a face card
Now, first card is face card so number of cards left to be arranged = 52 - 1 = 51
Number of ways to arrange 51 cards = 51!
Also, Number of face cards = 12
So, Total number of required ways = 12 × 51!
1. 15 / 1/3
When dividing, the second fraction flips over .
15* 3/1= 45/1= 45
2. 24 / 1/6
24*6= 144
4. 7/12 / 1/3
7/12*3/1
Cross out 3 and 12, divide by 3
12/3= 4
3/3= 1
7/4* 1/1. Multiply the numerator together. Multiply the denominators together.
7*1= 7
4*1= 4
7/4 or 1 3/4
Answers :
1. 45
2. 144
4. 7/4 or 1 3/4
Given a radius 
, the volume of a sphere is given by
We can solve this formula for the radius, given the volume:
![r=\sqrt[3]{\dfrac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%5Cpi%7D%7D)
We can plug our value for the volume to get the radius:
![r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3%5Ccdot%2012%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B9%7D)
The probability that Hamid guesses both answers correctly is 10%.
Since Hamid is playing a trivia game with multiple choice questions, and each question has 2 correct answers among 5 answer choices, and Hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random, to determine what is the probability that Hamid guesses both answers correctly the following calculation must be performed:
- 2/5 x 1/4 = X
- 0.4 x 0.25 = X
- 0.1 = X
- 0.1 x 100 = 10
Therefore, the probability that Hamid guesses both answers correctly is 10%.
Learn more in brainly.com/question/22049333
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Find out more at: brainly.com/question/25285332
