Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.
Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 - ㏑ 500 = 7 k
⇒ ㏑
= 7 k
⇒ ㏑ 10 = 7 k
⇒ k = 0.329
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then
⇒ ㏑ N = 5.23
⇒ N = 187
Thus the number of bacteria at initial = 187
C
This is because none of the numbers can be divided by any number other than themselves or 1.
Answer:
a) Dependent
b) H0: µd = 0
Ha: µd > 0
c) Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data
Step-by-step explanation:
<u>Using values found in MINITAB 19 </u>
a) The samples are dependent and this is because the title of the test is the same ( i.e. A group of students given the LSAT )
<u>b) Appropriate hypothesis</u>
H0: µd = 0
Ha: µd > 0
<u>c) The Minitab procedure to be used to test the hypothesis is </u>
click on Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data to create a probability plot
Answer:
There is <u>8</u> adults and <u>1 </u>child
Step-by-step explanation:
<u>$78 - $6 = $72</u>
<u>$72 divided by 9 = 8</u>
you would add nine <u>8</u> times and add 6 to it then it would be $78
Hope this helps you! :)
