A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Inte
2 answers:
We have that the z-score is defined as z=
where X is the value of the observation, m is the mean of all the observations and sigma is the standard deviation. We also have that the z-score of the ends of the confidence intervals is 2.58 and -2.58. We have then, solving the first equation that :
Substituting the values for z, m and sigma, we have that the upper bound of the confidence interval is 90.32 minutes and that the lower bound is 18.08 minutes. Hence, almost all adults (99%) have a total time of watching TV in this interval.
Substituting the values for z, m and sigma, we have that the upper bound of the confidence interval is 90.32 minutes and that the lower bound is 18.08 minutes. Hence, almost all adults (99%) have a total time of watching TV in this interval.
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Answer:
Here is the question attached with.
is a straight line.
is a right angled triangle.
Options are correct answers.
Step-by-step explanation:
⇒As is ⊥
so it will forms right angled triangle then
.
⇒Measure of as
as
is the bisector of
,meaning that
is half of
so
.
⇒ is a straight line as the angles measure over it is
.
⇒Measure of from linear pair concept.
As ,plugging the values of
we have
.
The other two options are false as:
it is exceeding whereas
is a
straight line.
- And
is not true.
As and
So we have total answers.
The correct options are .
Answer:
Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).
Step-by-step explanation:
Part 1:
The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).
The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.
The relation between the vertices of ABCDE and MNOPQ are defined as
It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2:
If polygon MNOPQ is translated 3 units right and 5 units down, then
Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).