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WorksheetsALGii Final (Spring 2019)
Total questions: 41
Worksheet time: 3hrs 25mins
A normal distribution has mean of 35 and standard deviation of 6. Find the probability that a randomly selected x-value from the distribution is between 17 and 35.
50.15%
49.85%
50%
99.85%
Determine whether the histogram has a normal distribution.
No
Yes
A normal distribution has mean μ and standard deviation σ. An x-value is randomly selected from the distribution. Find P(μ−σ ≤ x ≤ μ).
50%
84%
34%
66%
In your high school, a survey of 182 seniors found that 89 of them watch more than 5 hours of TV each week. Identify the population and the sample.
The population consists of the response of all students in your high school, and the sample consists of the responses of the 182 seniors in the survey.
The population consists of the response of all seniors in your high school, and the sample consists of the responses of the 182 seniors in the survey.
The population consists of the response of all seniors in your high school, and the sample consists of the responses of the 89 seniors in the survey.
The population consists of the responses of the 182 seniors in the survey, and the sample consists of the responses of all seniors in your high school.
A survey of 8,250 teachers in the United States finds the standard deviation of the salaries earned is $6,169. Is the standard deviation of the salaries earned a parameter or a statistic?
statistic
parameter
Identify the type of sample described: The CEO of a company wants to determine whether employees are satisfied with their jobs. The CEO randomly surveys three employees from each department.
cluster
convenience
self-selected
stratified
systematic
Identify the method of data collection: A gardener waters half of her flower bed and gives special plant food to the other half. The gardener then compares the flowers after five weeks and determines which method is better.
simulation
experiment
observational study
survey
Identify the method of data collection: A restaurant owner in a food court records whether people take free samples.
simulation
experiment
observational study
survey
Identify the method of data collection: An employee of a sport arena asks every sixth person that walks in to the arena whether they like the snacks at the concession stand.
simulation
experiment
observational study
survey
Identify the type of sample described: You want to determine whether students like the new healthy options for the school lunch. You place questionnaires in lockers and use the ones returned to you.
cluster
convenience
self-selected
stratified
systematic
Identify the type of sample described: You want to determine whether students like the new healthy options for the school lunch. You ask every fifth student in line for lunch.
cluster
convenience
self-selected
stratified
systematic
A research study asked 2,295 homeowners how many bedrooms were in their homes. The results are shown in the table below. What is the probability that a homeowner chosen at random has 2 or less bedrooms?
about 30%
about 23%
about 33%
about 14
You play a game that requires rolling a six-sided die then randomly choosing a colored card from a deck containing 9 red cards, 5 blue cards, and 9 yellow cards. Find the probability that you will roll a 6 on the die and then choose a blue card.
1/6
5/23
1/23
5/138
An amusement park has two featured rides that require an extra ticket, the Slingshot and the Scream Flyer. On a summer day, 1,044 visitors entered the park. 297 visitors bought tickets for either the Slingshot or the Scream Flyer. 243 visitors bought a ticket for the Slingshot, and 211 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer?
0.284
0.435
0.150
0.719
You spin a spinner with ten equal spaces numbered 1 through 10. What is the probability that the spinner lands on a 3 or a 10?
1/10
9/10
1/5
4/5
In how many ways can you arrange all the numerals 1 through 5?
25
15
24
120
Your shirt drawer contains 5 different colored shirts. What is the probability that you will randomly choose the purple shirt to wear one day, and without replacement, choose the blue shirt to wear the next day?
1/10
1/20
1/5
2/5
In how many ways can you arrange two of numerals 1 through 5?
2
120
10
20
A water polo team roster has 11 players on it. How many groups of 7 players can be created?
1,663,200
24
330
7,920
Draw an angle that measures −80° in standard position.
Which angle is co-terminal with 262°?
532°
352°
−98°
82°
Convert 195° to radians
−275°
−5°
−185°
−95°
Draw an angle that measures 620° in standard position.
The variables x and y vary inversely, and y = 2 when x = −1. Write an equation that relates x and y. Then find y when x = 2
Find the product
Find the product
Find the quotient
Find the difference
Solve for x
Solve for x
Your friend deposits $2,000 in an investment account that earns 7.7% annual interest. Find the balance after 6 years when the interest is compounded monthly.
$3,169.81
$7,700.00
$2,924.00
$12,000.00
Simplify the expression
24e4
4e7/3
4e4
256e21
Find the inverse of the function
y = log3(x+4)
y = x3 − 4
y = 3x+4
y = (x + 4)3
y = 3x − 4
Rewrite the equation in logarithmic form
Expand the logarithmic expression
Condense the logarithmic expression
Solve for x
Solve for x
