Answer:
A. Miguel has the greatest spread.
B. Considering the middle 50% of the training time, the person with the least spread is Adam.
C. Miguel is inconsistent with the time set for training compared to that of Adam.
Step-by-step explanation:
The spread of a data shows the range of the data.
Using the range to determine the spread of the given data:
A. The range of the two persons can be determined by:
Range = highest value - lowest value
So that:
Adam's range = 106 - 91
= 15
Miguel's range = 105 - 86
= 19
Comparing the range of the two, Miguel has the greatest spread.
B. Considering the middle 50% of the training time;
Adam - 103 105 104 106 100
Miguel - 88 86 89 93 105
Adam's 50% range = 106 - 100
= 6
Miguel's 50% range = 105 - 86
= 19
Considering the middle 50% of the training time, the person with the least spread is Adam.
C. The answers to parts 2(a) and 2(b) shows that; there is a wide variation (much inconsistency) in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.
equation csn be represented as
money left = 500 - (n-1)×4.65
so we can see in first week money left
= 500 - (1-1)×4.65= 500-0=500
which is true because first week chaya got gift card and does not spend any money.
now lets assume that on week n money left is 327.95
so by equation
500 -(n-1)×4.65 = 327.95
500- 327.95 =( n-1)× 4.65
n -1 = 172.05/4.65=37
n = 37+1 = 38
in 38th week money left would be 327.95
Answer: 601
Step-by-step explanation:
The formula to find the minimum sample size(n) , if the prior population proportion is unknown:
, where E = margin of error ,
= critical z-value for confidence level c.
Given : E = 0.04
Z-value for 95% confidence = 1.96
So, the minimum sample size required = 

Hence, the minimum sample size required = 601
Answer:
D) 
Step-by-step explanation:
<u>Vertex Form of a Vertical Parabola:</u>

Vertex -> 
Axis of Symmetry -> 
Vertical Scale Factor -> 
- To turn
into vertex form, we need to complete the square on the right side - Therefore, if
, then
completes the square on the right side - This becomes

- This means that our function in vertex form is

Therefore, the vertex of the graph is
.