To solve this problem you will need to use the cross product method:
1/16 of an hour → write 1 card
3/4 of an hour → write X cards
(3/4) ÷ (1/16) = X
0.75 ÷ 0.0625 = X
12 = X
Joey can write 12 Thank you cards in 3/4 of an hour.
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
A: Algebraic Function
Step-by-step explanation:
Algebraic function is given as;
5x – 2y = 15
Since we are dealing with rate of change, let's make y the subject first and find dy/dx.
Thus;
2y = 5x - 15
y = (5x/2) - 15/2
dy/dx = 5/2
dy/dx = 2.5
The verbal function is given as;
Cost of 5 pencils is 15 dollars
Thus, rate of 1 pencil = 15/5 = 3 pencils per dollar
We can see that the lowest rate of change is 2.5 and it is the algebraic function.
The turning point is (3,3). The x to make the absolute value negative would be 2. The ordered pair would then be (0,3)
Answer:
Probability that the fifth ball selected is red = 0.705
Step-by-step explanation:
Let
= Number of red balls after the 4th turn
⇒
∈ { 0, 1, 2 }
Then,
P = ![\left[\begin{array}{ccc}0.8&0.2&0\\0.1&0.8&0.1\\0&0.2&0.8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0.8%260.2%260%5C%5C0.1%260.8%260.1%5C%5C0%260.2%260.8%5Cend%7Barray%7D%5Cright%5D)
⇒![P^{4} = \left[\begin{array}{ccc}0.487&0.435&0.776\\0.218&0.565&0.218\\0.776&0.435&0.487\end{array}\right]](https://tex.z-dn.net/?f=P%5E%7B4%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0.487%260.435%260.776%5C%5C0.218%260.565%260.218%5C%5C0.776%260.435%260.487%5Cend%7Barray%7D%5Cright%5D)
Now,
P(5th ball is red |
= 2 ) = 0.
+ 
= 
= 0.705
∴ we get
Probability that the fifth ball selected is red = 0.705