1. To calculate the mean, we first total the number of hours: The 20 students' total number of study hours
is 118.5 hours.
2. We divide by the number of samples to find the mean: <span>The sample mean is 5.93.</span>
3. Next, we find the SD: <span>Calculate the standard deviation.</span>
4. Then we divide SD by the number of samples to get the standard error: the standard error of the mean of the sample is 0.45.
5. Since for a 95% CI, the corresponding z-score is 1.96 ~ 2, we use the formula for CI: mean +/- z*SE, which is: The range in which 95% of the sample
mean occurs is 5.93 + 2 × 0.45 = 6.83 hours and 5.93 − 2 × 0.45 = 5.03
hours.
6. Finally: The range in which
95% of the sample mean occurs is (5.03, 6.83).
The first function is a type of cubic function and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The function given in the problem is:
f(x) = x³ + x² – 3x + 4
The highest degree (power) of this function is 3. Thus, this function is a type of cubic function.
The second function given in the problem is:
g(x) = 2x – 4
The highest degree (power) of this function is 1. Thus, this function is a type of linear function.
Both the function has the value of domain and range from -∞ to ∞ (-∞,∞).
Thus, the first function is a type of cubic function and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).
Learn more about Function here:
brainly.com/question/5245372
#SPJ1
Say its 2^3 . that literally just mean you take 2 by itself 3 times. 2*2*2 .
The first month in which the board will see the cumulative total number of candy bars sold in Manila exceeded the cumulative total in Seoul is of:
3rd month.
<h3>What are linear functions?</h3>
The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are defined as follows:
- m is the slope, representing the rate of change.
- b is the y-intercept, representing the initial value.
For the functions in this problem, the slope and the intercept are given as follows:
- Intercept: amount sold by the end of the first month.
Taking the end of the first month as a parameter, the functions are defined as follows:
- Seoul: S(m) = 40 + 60(m - 1).
- Manila: M(m) = 20 + 80(m - 1).
Then Manila exceeds Seoul when:
M(m) > S(m)
20 + 80m - 80 > 40 + 60m - 60
20m > 40
m > 2.
2.1 for example is in the 3rd month, hence the 3rd month is the correct answer.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
