Answer: option c
Step-by-step explanation:
margin of error = critical value × s/√n
Where s = sample standard deviation = 0.58, n = 53
The critical value = 1.96 ( this is the critical value for a two test test corresponding to a level of significance of 5%)
By substituting the parameters, we have that
Margin of error = 1.96×0.58/√53
Margin of error = 1.96 × 0.0796
Margin of error = 0.156 ~ 0.16
Answer:
A
Step-by-step explanation:
Answer:
Slope-intercept Form:
Step-by-step explanation:
Point-slope:
Answer:
Are the events A and B disjoint? Yes
Step-by-step explanation:
Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint, .
The event <em>A</em> is defined as the number of students whose age is at most 32.
And event <em>B</em> is defined as the number of students whose age is at least 37.
The events <em>A</em> and <em>B</em> are disjoint events.
- The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
- Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).
The sample space for the intersection of these two events is:
Sample space of (<em>A</em> ∩ <em>B</em>) = 0
As there are no common terms in both the sample.
Hence proved, events <em>A </em> and <em>B</em> are disjoint.