The following triangle is a scalene triangle
Answer:
the probability that the rack ends up in alphabetical order is 0.0001984
Step-by-step explanation:
Given that:
You own 24 CDs. You want to randomly arrange 7 of them in a CD rack.
Th probability that the rack ends up in alphabetical order can be determined by taking note of the permutations and combinations.
From above; all possible permutations of size 7 we can derive from 24 is
24P7
Similarly,we are meant to estimate all the possible ways a unique set of 7 things can be gotten from a total of 24
i.e
24 C7
∴
The probability = ![\dfrac{^{24}{C}_7}{^{24}{P}_7}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5E%7B24%7D%7BC%7D_7%7D%7B%5E%7B24%7D%7BP%7D_7%7D)
= ![\dfrac{\dfrac{24!}{7!(24-7)!} }{ \dfrac{24!}{(24-7)!} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B24%21%7D%7B7%21%2824-7%29%21%7D%20%20%7D%7B%20%5Cdfrac%7B24%21%7D%7B%2824-7%29%21%7D%20%7D)
=![\dfrac{\dfrac{24!}{7!(17)!} }{ \dfrac{24!}{(17)!} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B24%21%7D%7B7%21%2817%29%21%7D%20%20%7D%7B%20%5Cdfrac%7B24%21%7D%7B%2817%29%21%7D%20%7D)
= ![\dfrac{346104}{ 1.74436416 \times 10^9}](https://tex.z-dn.net/?f=%5Cdfrac%7B346104%7D%7B%201.74436416%20%5Ctimes%2010%5E9%7D)
= 0.0001984
the probability that the rack ends up in alphabetical order is 0.0001984
(A)
This is because you have to add $8 to your total bill, so you add 8 to the snacks you buy for you and your friend (2 x)
Also, 22 is the max amount you can use, and you don't add anything to your budget when you buy things.
Answer:
A B and D
Step-by-step explanation:
Answer:
2x + y - 6 = 0
OR 2x + y = 6
Step-by-step explanation:
First write the equation given in the problem:
y = -2x + 6 This is in slope-intercept form (y = mx + b).
Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.
The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.
To convert from slope-intercept form to standard form, <u>move everything over to the side with 'y'</u>. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)
y = -2x + 6 Do the reverse operations for -2x and +6
y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides
y + 2x - 6 = 0 Right side cancels out to be '0'.
2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'
Here you can see the new equation and what each variable in Ax + By + C = 0 is.
A = 2
B = 1 When a number is not written with the variable, it is 1.
C = -6
Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.
2x + y = 6