Answer:
D. 81
Step-by-step explanation:
I think the attached photo supports for your question to be answered
Here is my answer:
Number of days: 30
Mean of the data set = (68 + 70*2 +74*2 +76*4 +78 +80*5 + 82*3 +84*5 + 88 +88*3 + 92*3) /30 = 81
Answer:
1/3; 33% chance
Step-by-step explanation:
1/2 (prob. of tossing tails) * 2/3 (prob of rolling < 2) = 1/3
Answer:
5,120 bacterias
Step-by-step explanation:
Given the amount of bacteria after x hours modelled by the equation:
f(x) = 20(2)^x/12
Note that x is in hours not days
To calculate the number of bacteria that will be contained within the culture after 4 days, we will first convert 4days into hours since x is in hours.
24hours = 1day
xhours = 4days
x = 24×4
x = 96hours
Substituting x = 96 into the equation
f(96) = 20(2)^96/12
f(96) = 20(2)^8
f(96) = 20×2^8
f(96) = 20×256
f(96) = 5,120
The number of bacteria that will be contained after 4days is 5,120bacterias
0.4 then 1/2 then 60% is smallest to largest. Because if you make them all decimals then it would be 0.4 then 0.5 (1/2) then 0.6 (60%)
Answer:
Step-by-step explanation:
Let 
. We have that 
if and only if we can find scalars 
such that 
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for 
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are 
, but note that for this values, the third equation doesn't hold (3+2 = 5 
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are 
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
