Matrix
What is the product? [4.5 0.4]
[1.2 2.8]
[2,636]
[878 ]
What are the first terms of the sequence
f(n) = (-2)n+1
4, -8, 16, -32, 64, -128
Describe parameter and statistics.
parameter is population
Statistics is a sample
Four students each write a statement. Which student writes a true statement?
1. An exponential growth function is always greater than an increasing linear function.
2. An exponential growth function will eventually exceed an increasing linear function
3. An increasing linear function will always intersect an exponential growth function at least once
4. An increasing linear function will eventually exceed an exponential growth function
Student 2
A meteorologist uses historical data calculate P(rain) , P(cloudy), and P(rain and cloudy) for the month of February. One February morning, the meteorological reports that it is raining. What best describes the probability that it will also be cloudy on this day.
This is an example of conditional probability because rain has already occurred.
Lisa, Jenny and Kyra kept track of the number of miles they ran on Saturday and Sunday. Their data are represented by the matrices M and N. What is the total number of miles each person ran, M+N ?
M= [4.7] N= [3.9]
[5.8] [5.1]
[5.5] [5.3]
[8.6]
[10.9]
[10.8]
A student saves money each week. She starts with $15 in week 1 and increases her savings by $4 each week.
Which equation represents the amount saved in a week?
A. an= 15(4)n-1
B. an = 15 + 4 (n-1)
C. an = 4 + 15n
D. an = 15n4
B. an = 15 + 4 (n-1)
Is this measurement a Statistic or a Parameter?
The median age of teachers at a school is 39 years.
Parameter
The equation A= 1,750(1+0.04) represents the account balance t years after an account was created.
Describe the account balance over time
The account balance will increase 4% each year
If P(A)=0.6, P(B)=0.4, and P(AnB) =0.12, what is the conditional probability P(A|B)?
0.30
[2x 10] [12 10]
[-5 y+4] = [-5 18]
x=6
y=14
A gym tracks membership growth using two different plans:
Plan A (arithmetic): Starts with 50 members and increases by 6 members each month.
Plan B (geometric): Starts with 50 members and increases by 10% each month.
After 4 months, which plan has more members?
A. Plan A
B. Plan B
C. They are equal
D. Not enough information
Plan A
Identify the population and the sample. Describe the sample.
In the state of Maryland, a survey of 1125 high school students found that 523 of them own a bicycle.
Population: Responses of all high school students in Maryland.
Sample: 1125 responses of high school students in the survey.
Description: Responses of high school students not in the survey.
The expression 3,000(1.02)t/2 represents the population of a small town t years since the initial population was recorded. Which two statements are true?
a. The initial population of the town is 3,000
b. The initial population of the town is 3,060
c. The population of the town decreases by 2% every 2 years
d. The population of the town increases by 2% twice a year
e. The population of the town increases by 2% each 2 years.
A & E
A bag contains 3 red marbles and 7 blue marbles. Two marbles are drawn without replacement. What is the probability that the second marble is red, given that the first marble was red?
2/9
Brian has some quarters and nickels. He has twice has many quarters as nickels, and the coins are worth a total of $11.
Determine the number of quarters and the number of nickels Brian has.
[1 -2 | 0 ]
[ 0.25 0.05 | 11]
A student is tracking two different workout plans:
Plan A: She does 20 push-ups on day 1 and increased by 5 push-ups each day.
Plan B: She does 20 push-ups on day 1 and increases by 15% each day.
Which statement is correct about the number of push-ups on day 6?
A. Plan A and B will be equal on day 6
B. Plan A will be greater than Plan B on day 6
C. Plan B will be greater than Plan A on day 6
D. Both plans are geometric sequence
B. Plan A will be greater than Plan B on day 6
Which statements describe parameters? Select the THREE correct answers.
A. The standard deviation of the weights of a random sample of 95 bluebirds is 1.1 grams.
B. The mean height of all 15 players on a basketball team is 73 inches.
C. There are 240 trees in an orchard, and 30% of them are apple trees.
D. A teacher asked a random sample of 20 students what their favorite season is, and 45% said summer.
E. Out of all 32 employees at a company, the range of employee ages is 25 years.
B, C, and E
A bacteria culture starts with 200 bacteria and doubled every 3 hours.
Which function models the number of bacteria, y, after x hours?
A. y= 200(2)3x
B. y= 200(2)x/3
C. y= 3(200)x
D. y= 200 + 2x
B. y= 200(2)x/3
In a school, 40% of students play soccer, 30% play basketball, and 10% play both. What is the probability that a student plays basketball given that they play soccer?
0.25
The prices of items at two different supermarkets are shown. Toilet paper at Store A costs $4.99 and at Store B costs $6.99. Toothpaste at Store A costs $2.99 and at Store B costs $3.25. G= [4.99 6.99]
[2.99 3.25]
What does the first row represent?
The price of toilet paper at both supermarkets.
Two investment accounts start with the same amount : $500.
Account A grows by adding 60 every year.
Account B grows by multiplying 1.08 every year.
At the end of which year does Account B first exceed Account A?
A. Year 6
B. Year 7
C. Year 8
D. Year 9
D. Year 9
A nutrition company claims that the average amount of sugar in its protein bars is 12 grams.
A food safety agency randomly tests 40 protein bars from factories across the country and finds a mean sugar content of 13.1 grams. Based on the sample, the agency performs a statistical study to determine whether the company’s claim is accurate.
Which of the following best describes the parameter in this situation?
A. The 40 protein bars selected for testing
B. The mean sugar content of the 40 tested protein bars
C. The mean sugar content of all protein bars produced by the company
D. The difference between 12 grams and 13.1 grams
C. The mean sugar content of all protein bars produced by the company.
(The parameter is still describing the entire population)
A local pond has a population of 1,200 fish that is decreasing at a rate of 5% each year. Using the exponential decay formula ; y=a(1-r)t , this is the aprox number of fish remaining after 3 years(to the whole number)
1,029
Events A and B are independent. If P(A)=0.5 and P(B) =0.8, what is P(B|A)?
0.8