Answer:
y=1/3x+0 or y=1/3x
Step-by-step explanation:
find the slope by taking two points and putting them in
y2 - y1/x2 - x1
so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3
then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)
y - 2 = 1/3(x-6)
when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given
<em>C = I</em>
<em>150p + 525 = 325p</em>
<em> 525 = 175p</em>
p = 3
Answer:
It would take 19 hours and 36 minutes until there are 1040 bacteria present.
Step-by-step explanation:
Given that in a lab experiment, 610 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 23 hours, to determine how long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present, the following calculation must be performed:
610X = 1040
X = 1040/610
X = 1.7049
2 = 23
1.7049 = X
1.7049 x 23/2 = X
39.2131 / 2 = X
19.6 = X
100 = 60
60 = X
60 x 60/100 = X
36 = X
Therefore, it would take 19 hours and 36 minutes until there are 1040 bacteria present.
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
--- Null hypothesis
---- Alternate hypothesis
Solving (a): The test statistic
This is calculated as:
So, we have:
Solving (b): The p value
This is calculated as:
So, we have:
Look up the z probability in the z score table. So, the expression becomes
Solving (c): With , what is the conclusion based on the p value
We have:
In (b), we have:
By comparison:
i.e.
So, we fail to reject the null hypothesis.
