Triangles
What is the maximum height of
h(t) = 60-55sin(.1πt+.5π)
if t= height in feet
115 feet
What is 360o in radians?
2 pi
Evaluate the sum of the first 45 terms of the sequence an = 4(n-1)+15
4635
Suppose you are rolling a die, what is the probability of rolling a 5 and a 6?
0
Calculate the Mean, Median, and Mode for the following set of Data: 7 1 6 4 52 6 6 1 23 11 2 2 20 10 5 4 6 7 2 8 10 16 8 5 9 1 3 2 2 13 3 31 12 1 19 6 5 21 2 6 1 9 30 3 1 11 9 3 9 1
Mean = 8.7, Median = 6, mode = 1
Suppose the function H(t) = 8.5 sin(.017t-1.35)+12 models the hours of sunlight Cody's room gets. t is the first day of the year. What is the approximate range of daylight hours for Cody's room?
3.5 to 20.5
root of 2 over 2
Does the series converge or diverge and why?
-4 + -2 + -1 + -.5 + -.25
Converges because l r l < 1
A group of 15 people need to form a line. The line will consist of exactly 8 people. Cody and Nathan have to be either third or fourth in line. How many different orders are there?
2471040
What is the shape of the distribution?
X Y
0 2
1 1
3 12
4 6
5 5
6 1
7 2
8 1
9 2
Skewed Right
Two sides of a triangle measure 14 ft. and 17 feet, respectively. The included angle is 72 degrees. Approximately how long is the third side of the triangle?
18.4 feet
What quadrant is 8π/6 in?
Quadrant 3
Evaluate the sum of the first 28 terms of the geometric sequence
gn = 15(2)n-1
4026531825
The probability of A is 2/3
The probability of B is 4/9.
The probability of AUB is 4/5.
What is the probability of A and B happening?
14/45 or .3111111
The life time of a particular car tire is normally distributed. The mean life time is 50 miles with a standard deviation of 5. Of a random sample of 15,000 tires, how many of the tires are expected to last between 45 and 55 miles?
10,200
Two planes leave an airport at the same time. One plane is flying 575 mph at a bearing N 23° E, and the other plane is flying at 625 mph at a bearing of N 65° W. How far apart are the planes after flying for 3.5 hours?
2920 miles
1 and 1/3 rotations in radians is?
8π/3 radians
What is the explicit form of the equation
an = an-1 + 2(n-1); a1=1
an=n2-n+1
Nathan has a .040 chance of getting a question right on his quiz. What is the chance of him getting exactly 3 questions right on a 10 question quiz?
Approximately .577%
An investor bought 1,500 shares of a stock for $6 a share. He estimates the probability that the stock will rise to a value of $25 a share is 24% and the probability that the stock will fall to $2 a share is 76%. What is the expected value of the investor's profit from buying the stock?
$2,280
a=12
b=15
angle C = 28o
find c
c= 26.75
What is the arc length of an angle of 700 in a circle with a radius of 6?
35π/90 * 6
Is the fifth term of the recursive sequence higher or lower than the fifth term of the explicit sequence and by how much?
Higher, by 21
Two people are playing Texas Hold'em, what is the probability that both players have two aces in their two card hands? (They are only using one deck of 52 cards)
4/52 * 3/51 * 2/50 * 1/49
Mr. McBride counts the final exam as 25% of each student's class grade. The remaining 75% is the mean of the student's test scores from the semester. Josh's test scores for the semester are 58, 62, 73, and 80 what is the minimum score Josh must get on his exam to get a final of average of 75 or higher?
95.25