Answer:
5 batches
Step-by-step explanation:
1/6 oatmeal can make 1 batch, so 5/6 makes 5 batches
The chance that both come up red is 2/3.
<u>Step-by-step explanation</u>:
First regular die :
The total outcomes are {1,2,3,4,5,6} = 6
Painted red are odd numbers {1,3,5} = 3
Second regular die :
The total outcomes are {1,2,3,4,5,6} = 6
Painted red are one less than perfect square which is 4-1 is {3} = 1
- Probability (both red) = (red in 1st die / total outcome) + (red in 2nd die / total outcome)
P(both red) = 3/6 + 1/6
⇒ 4/6
⇒ 2/3
Answer:
<h2>
Hence a = -1, b = 10</h2>
Step-by-step explanation:
Given h(x) = (x - 1)³ + 10, f(x) = x + a and g(x) = x³ + b so that h(x) = (gof)(x)
To get the value of a and b that will make the composite function true, we will first need to get the composite function (gof)(x).
(gof)(x) = g[f(x)]
g[f(x)] = g[ x + a]
To get g(x+a), we will replace the variable x in the function g(x) = x+b with x+a as shown;
g[x + a] = (x+a)³+b
Hence (gof)(x) = (x+a)+b
Equating h(x) = (gof)(x)
(x - 1)³ + 10 = (x+a)³+b
On comparing both sides of the equation;
(x - 1)³ = (x+a)³ and 10 = b
For (x - 1)³ = (x+a)³
Take cube root of both sides
∛ (x - 1)³ = ∛(x+a)³
x-1 = x+a
collect like terms
a = x-x-1
a = -1
Hence a = -1, b = 10
Nndnenen eiow 1-2 die wnwiwkw sis
Answer:
D.) $4 per min.
Step-by-step explanation:
in the first increase we go up 5 minutes and up $20
this trend stays equal just with 10 minute and $40 increases
this means that there is $20 for every 5 minutes so to find the unit rate we divide $20 by 5 which gives us 4
hope this helps chu babe <3