Interval simply represent the set of numbers containing all numbers between any two numbers.
The representations of are
and
From the question, we have:
The above representation is in interval notation.
The interpretation is that;
The highest number in the interval is -6
The equivalent using set notation is:
The equivalent using inequalities is:
Read more about intervals at:
Answer:
Null hypothesis (): The birth weight of the first born of identical twins is the same as the birth weight of the second born.
Alternative hypothesis (): The birth weight of the first born of identical twins is higher than the second born.
Step-by-step explanation:
Please note that the null hypothesis is the hypothesis we always want to reject or prove to be false. Hence in this study, the objective of the study is clearly stated that the researcher want to determine whether the twin born first tends to weigh more than the twin born second.
Therefore, the null hypothesis we assume that the weight of the identical twins is the same regardless of who come first or last., while the alternative hypothesis is constructed or stated to answer the research objective.
Answer:
They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Corresponding angles are congruent
because
∠Q≅∠M
∠R≅∠N
∠S≅∠P
Corresponding sides are proportional
because
substitute the given values
----> is true
therefore
They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.