The probability is 4⋅3⋅2⋅1/10•9•8•7=(4/4)(6/0)/(10/4)=1/210 so the probability of selecting 3 red balls would be 1/210
Answer:
x = 5/8 for 5x - 3 = (1/5)x
Step-by-step explanation:
To find x, we want to isolate our 3 from our x-values. You can add three to both sides of the equation and get it to the other side and then subtract 1/5x from 5x.
(5x - 3) + 3 = ((1/5)x) + 3
5x = (1/5)x + 3
5x = (25/5)x
((25/5)x) - (1/5)x = ((1/5)x + 3) - (1/5)x
(24/5)x = 3
From here, you would want to solve for x. This would mean multiplying 3 by 5 and dividing your product by 24.
5*3 = 15
15/24 = 5/8 = x
Hope this helps!
The unit ratio is defined as the total cost divided by the number of oz.
So, the large popcorn has a unit cost of
meaning that 1oz of pop corn costs 7 cents.
Similarly, the small popcorn has a unit cost of
meaning that 1oz of pop corn costs 8 cents.
So, the large popcorn has a lower unit rate.
Answer: a) AB = ![\left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-14%2626%5C%5C-11%2622%5Cend%7Barray%7D%5Cright%5D)
; b) ![\left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-5%5C%5C13%269%5Cend%7Barray%7D%5Cright%5D)
; c) No, they are different; d) No, they are never the same;
Step-by-step explanation:
a) A = ![\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%264%5C%5C1%263%5Cend%7Barray%7D%5Cright%5D)
, B = ![\left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%261%5C%5C-3%267%5Cend%7Barray%7D%5Cright%5D)
. This multiplication is possible, because matrix A has 2 columns and matrix B has 2 rows. When those value are equal, the multiplication is possible.
AB = . =
b) BA = . =
c) As, we can see, parts a and b are differents.
d) With matrices, multiplication is not commutative, which means AB≠BA
Answer:
A = 88 m^2
Step-by-step explanation:
The area of this parallelogram is found by
A = b*h
The base is equal to 4+7 and the height is 8
A = 11 *8
A = 88 m^2
