Answer:
x=5.12
Step-by-step explanation:
35.16= 4.44+6x
30.72=6x
5.12=x
x=5.12
Hope this helps :)
The probability that one of each color is selected is 
<h3>Probabilities</h3>
The probability of an event is the chances of the said event
The given parameters are:
- Total = 10
- Red = x
- Blue = 10 - x
<h3>Calculating the required probability</h3>
The probability that one of each color is selected is calculated as follows:
So, we have:
This gives
Take LCM
Simplify the above expression
Expand
Hence, the probability that one of each color is selected is
Read more about probabilities at:
brainly.com/question/7965468
Answer:
C is the answer
Step-by-step explanation:
First find the area of the circle -
Use pi times r^2
Since the answers are in pi form, we just need to do the "r^2" part. 3 is the radius, so 3 x 3 = 9. Now that we have found the area of the circle, we will need to multiply the area of the circle by the height of the cylinder. (9pi)(9) = 81pi cubic units. 81pi cubic units is the answer.
Answer:
Step-by-step explanation:
The set {1,2,3,4,5,6} has a total of 6! permutations
a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.
b. The next 120, including the 124th, would begin with '2'
c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1
d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3
e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).
Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).
∴ The 124th number is 213564
Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.
Answer:
x = 26
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the given angles and equate to 180
55 + 4x - 5 + x = 180, that is
50 + 5x = 180 ( subtract 50 from both sides )
5x = 130 ( divide both sides by 5 )
x = 26
