Sequences
16, 14, 12, 10...
Arithmetic
Identify the type of causal relationship:
Increase in pay, job performance
Reverse cause and effect
In a group of 12 students, 8 students have skied before. 5 students are randomly selected from the group.
FTPT all five students have skied before
0.0707
Determine if this general term describes an arithmetic sequence: tₙ = (n+1)(n-1)
Not arithmetic
Create a scatter plot and determine the type of correlation:
x: 16, 15, 18, 17, 16, 15, 14, 17
y: 5, 3, 8, 6, 4, 4, 5, 15
Weak positive correlation
14
Find the general term of the sequence:
1, -2/3, 4/9, -8/27
tₙ = (-2/3)n-1
Calculate the r value:
x: 20, 18, 15, 14, 18, 13, 19, 15, 17, 22
y: 22, 21, 18, 17, 20, 26, 23, 16, 20, 24
r = ~ 0.36
Infant weight are normally distributed with a mean weight of 3.4kg and a standard deviation of 1kg.
In what percentile of the population of weights does a 4.5kg infant rank?
86th percentile
Using algebra, find the number of terms in the sequence: -120, -112, -104, -96...96
28 terms
What type of bias is present in this survey:
What is your favourite non-alcoholic beverage?
a) Cola
b) Root Beer
c) Sprite
d) Other
Response Bias
A top NHL player scores 93% of his shots on a goal.
FTPT he will not miss until his 20th try.
0.176
For this geometric sequence, find a, r, and tₙ
t2 = -4 t4 = 32
a = 4
r = 2
tₙ = 2n+1
Find the equation of the line of the best fit for this data:
x: 20, 18, 15, 14, 18, 13, 19, 15, 17, 22
y: 22, 21, 18, 17, 20, 26, 23, 16, 20, 24
y = ~ 0.40192x + 13.82717
The results of a university examination had a mean of 55 and a standard deviation of 13. The professor wishes to "bell" the marks by converting all the marks so that the mean is now 70, and the standard deviation of 10.
What would happen to a mark of 80 after the conversion?
89