Jenny asked 10 students how many courses they have taken so far at her collegeHere is the list of answers, 12, 10, 14, 7, 1, 19,
17, 3, 20, 16 What is the percentage of these students who have taken fewer than 16 courses?
1 answer:
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Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: fitness of a line of E. coli grown on an acidic environment.
n= 6 E. coli lines
Recorded fitness for each line: 1.24, 1.22, 1.23, 1.24, 1.18, 1.09
The relative fitness of 1 indicates that both bacteria types are equally fit.
A relative fitness larger than 1 indicates that the acid-evolved line is more fit than the parental line kept at neutral pH when both are grown in acidic conditions.
Meaning that if the average fitness of the E. coli lines grown on an acidic environment is greater than 1 then they are better adjusted to live in acidic conditions, symbolically: μ > 1
The statistic hypotheses are:
H₀: μ ≤ 1
H₁: μ > 1
α: 0.05
Assuming that the variable has a normal distribution you have to apply a one-sample t-test:
X[bar]= 1.20
S= 0.06
The p-value for this test is 0.0002
Since the p-value= 0.0002 is less than α:0.05 the decision is to reject the null hypothesis.
Then at a 5% significance level, there is significant evidence to conclude that the bacteria evolved in acidic pH are better adapted to acidic conditions.
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Answer:
The location of the new cell phone tower is , and the equation of the circle is
.
Step-by-step explanation:
The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:
(1)
Where:
- Independent variable.
- Dependent variable.
,
,
- Circunference constants.
Given the number of variable, we need the location of three distinct points:
Then, we have the following system of linear equations:
(2)
(3)
(4)
The solution of this system is:
,
,
By comparing the general form with the standard form of the equation of the circunference is:
(5)
(6)
(7)
Where:
,
- Coordinates of the center of the circle.
- Radius of the circle.
If we know that ,
and
, then coordinates of the center of the circle and its radius are, respectively:
,
,
The location of the new cell phone tower is , and the equation of the circle is
.
Answer:
x = if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.