The vertical angle theorem states that two opposite (non-adjacent) angles formed by 2 intersecting lines have equal measure. In this problem, we are given that the angles are vertical angles. So the statement is that <2 ≅<4 with reason of vertical angle theorem.

3 0

2 years ago

Tammy conducted a survey to find the favorite subject of the students at her school. She asked 25 students from her math class w

almond37 [142]

Tammy's sample may not be considered valid because, on the first hand, it is said that she only asked students from her " Math Class".
If she wants to have a survey to find out the favorite subject of the students at her school, she must conduct a survey involving all the students in her school, not just in her class. What she did is just subjective. She should use a tally listing the different subjects and compare the number of students per subject. This way, she can have an objective representation of the least liked subjects and the most liked subjects of the students on her school.
Illustrating her survey through statistics may be more reliable and valid because it shows frequencies in which she can calculate easily and accurately the percentage of the number of students per subject, in a more objective manner.

7 0

3 years ago

The mean length of 5 childrens' index finger is 5.6cm.

Brilliant_brown [7]

The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>

The given parameters are:

<u>Children</u>

Mean = 5.6 cm

Frequency = 5

<u>Adult</u>

Mean = 6.2 cm

Frequency = 3

The mean length of these 8 people's index finger is calculated as:

$\bar x = \frac{\sum fx}{\sum f}$

So, we have

Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)

Evaluate

Mean = 5.83

Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83