Answer:
Nina is right: 9 baskets
36: 1 2 3 4 6 <u>9</u> 12 18 36
27: 1 3 <u>9</u> 27
18: 1 2 3 6 <u>9</u> 18
(a) Data with the eight day's measurement.
Raw data: [60,58,64,64,68,50,57,82],
Sorted data: [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean = 62.875
median = (60+64)/2 = 62
1st quartile = (57+58)/2 = 57.5
3rd quartile = (64+68)/2 = 66
IQR = 66 - 57.5 = 8.5
(b) Data without the eight day's measurement.
Raw data: [60,58,64,64,68,50,57]
Sorted data: [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean = 60.143
median = 60
1st quartile = 57
3rd quartile = 64
IQR = 64 -57 = 7
Answers:
1. The average is the same with or without the 8th day's data. FALSE
2. The median is the same with or without the 8th day's data. FALSE
3. The IQR decreases when the 8th day is included. FALSE
4. The IQR increases when the 8th day is included. TRUE
5. The median is higher when the 8th day is included. TRUE
The angles with measures 5x + 15 and 115 are corresponding angles.
For lines a and b to be parallel, those angles must be congruent.
5x + 15 = 115
5x = 100
x = 20
Answer:
We need to find which expressions are equivalent to 
, 
or neither.
: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.
Therefore, this expression is equivalent to neither of the given expressions.
: We just need to apply the distributive property.
Therefore, this expression is equivalen to .
We use the same process to the other expressions.
, equivalent to neither.
