Identify the next 3 terms in the sequence.
2, 5, 8, 11, ____ , _____ , _____ …
14, 17, 20
100
A bag contains 6 blue marbles, 4 pink marbles, and 10 green marbles. Find the probability of drawing a pink marble from the bag.
20%
100
does the equation below converge or diverge and how do you know?
y = 5(0.45)^x
Converge, r is less than 1
100
Calculate cos(70 degrees)
.34
200
5x + 2 = -3x + 18
x = 2
200
Write an equation for the sequence 1, 7, 13, 19…
a_n = 1 + (n-1)*6
200
Evetta is buying a cell phone. She has to choose a phone with a choice of 5 colors, 2 styles (flip, keyboard), and 3 features (texting, internet, bluetooth). How many different combinations are there?
30
200
Find the mean, median, standard deviation and IQR for the following set of data:
45, 32, 65, 50, 42, 33, 25, 52, 65
*Round all values to the nearest tenth*
Mean: 45.4
Median: 45
Standard deviation: 13.3
IQR: 26
200
Find sinA for the triangle that has side measure of the following:
side a = 4
side b = 3
side c = 5 (hypotenuse)
4/5
300
Expand log (4*a)^x
x(log4 + loga)
300
Find the 113th term of the sequence. Write your answer in scientific notation.
1,3,9,27…
2.7E53
300
Suppose you toss a coin and roll a die. Find the probability of getting heads on the coin and an even # on the die.
25%
300
If the function f(x) = ln(x+3) - 5 is translated to become g(x) = ln(x-5) + 6. What type of transformations have happened?
right 8, up 11
300
In order to use law of cosines, you must have at least two of these types of measures:
side measures
400
Round answer to the nearest whole number:
900=600(1.035)^t
12
400
there are 25 seats in the first row of a concert hall. Each row increases by 2 seats as you go up. How many seats are in the 29th row?
81
400
In how many ways can a group of four people be chosen from a class of 30 students?
27,405
400
The population of the United States is growing at a rate of 1.5% each year. Between what two years will the population double?
46 and 47 years
400
Determine the amplitude and period. [Use radians]
y=-4cos(2x)
amp = 4
per = pi
500
A store clerk receives a $5 commission if 3% of customers buy an item, $10 commission if 35% of customers buy an item and a $35 commission if 70% of customers buy an item. What is the clerk's expected commission?
$28.15
500
Find A1 in a geometric series for which S6 = 244 and r = -3. Please provide a fractional answer
-122/91
500
30. You want to roll a standard die with sides labeled 1, 2, 3, 4, 5, and 6. Before rolling the die, you want to calculate the theoretical probability.
a. What is the theoretical probability that you roll a 3?
b. You rolled the die 20 times and a 3 showed up 4 different times. What is the experimental probability of rolling a 3?
a. 1/6 = 16.7%
b. 4/20 = 20%
500
a. Find the expectation of a game where you pay $5 to play, lose $1.50 every time you land on an odd number side of a die and win $3.50 every time you land on an even number side of a die.
b. Is the game fair?
a. -4.5
b. No
500
You are standing 40 feet away from the base of a light pole. If you measure the angle of elevation from you to the light pole to be 50°, how tall is the light pole rounded to the nearest tenth?