Answer:
DU = 86
Step-by-step explanation:
Properties of a rectangle,
- Opposite sides are equal in measure.
- Diagonals of a rectangle are equal.
- Diagonals bisect each other.
In the given rectangle QUAD,
Diagonals AQ and DU bisect each other at P.
AQ = DU
2(QP) = DU [Since, AQ = 2(PQ)]
2(2x + 7) = 5x - 4
4x + 14 = 5x - 4
5x - 4x = 14 + 4
x = 18
Since, DU = 5x - 4
DU = 5(18) - 4
= 90 - 4
= 86
Therefore, measure of DU = 86 units
Answer:
All the conditions for the chi square test of homogeneity are satisfied.
Step-by-step explanation:
The conditions for the chi square test are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given are independent that is not equally likely i.e do not have equal chances of occurrences or are not dependent on each other.
4) the overall sample must be resonably large that is greater than 50
Answer:
C. (2x – 1)(2x + 1)
Step-by-step explanation:
4x² – 1 = (2x)(2x) – 1 = (2x – 1)(2x + 1)
Answer:
Step-by-step explanation:
Every integer is a rational number.
