3(15.49 + 20.82 + 22.91)
3(59.22) =
177.66 <=== what group collected
Answer:
3.85 hours
Step-by-step explanation:
We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:
y = a * e ^ (b * t)
where a and b are constants and t is time.
We know that when the time is 0, we know that there are 100,000 bacteria, therefore:
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
they tell us that when the time is 2 hours, the amount doubles, that is:
200000 = a * e ^ (b * 2)
already knowing that a equals 100,000
e ^ (b * 2) = 2
b * 2 = ln 2
b = (ln 2) / 2
b = 0.3465
Having the value of the constants, we will calculate the value of the time when there are 380000, that is:
380000 = 100000 * (e ^ 0.3465 * t)
3.8 = e ^ 0.3465 * t
ln 3.8 = 0.3465 * t
t = 1.335 / 0.3465
t = 3.85
That is to say that in order to reach this concentration 3.85 hours must pass
Answer:
The answer is option (b), y=-5/2x+4
Step-by-step explanation:
The slope intercept form is a way of expressing the equation of a straight line; where there are two variables that vary in a linear form. The equation is always of the form; y=mx+c
Where;
- y and x represents the variables on the y and x axis respectively
- m is a real number representing the slope
- c is also a real number representing the y-co-ordinate, where the line intercepts the y-axis
Solving for y in 10x+4y=16
(4y)/4=(-10x)/4+(16/4)
The answer is y=-5/2x+4, option (b)
The reflection of f(x)=sqrt(x) over x-axis will be represented by option a. This is because it is the reflection of the imaginary part of the function f(x)= sqrt(x). Hence the correct answer is a.
Answer:
a.when the sample proportions are much different than the hypothesized population proportions
Step-by-step explanation:
A chi-square test for goodness of fit is used to check the sample data were distributed according to claim or not.
If the chi-square test produces a large value of chi-square statistic then there is not a good fit between sample data and the null hypothesis. So, the sample proportions are much different than the hypothesized population proportions. Hence,Option (a) is correct.
If the goodness of fit produces a large value for chi-square then the sample means must not be close to the population mean. So, option (b) is incorrect.