Statistics
If you flip a flat, fair, two-sided coin, what is the probability that it will stand vertically up on an unbreakable surface?
zero;0;0%
3x + 11y = 100
121y + 33x = 111
At how many points do these lines intersect on the cartesian plane?
zero;0
On scalene triangle ABC, angle <A = 75 deg,
<B = (7x + 3), and <C = (5x + 6) deg.
What is the value of angle C in degrees?
46 degrees
Find the derivative of x^5.
5x^4
What is Lincoln High School's street address?
3838 Trojan Trail
If you flip two fair, seven-sided dice, what is the probability that the sum of the numbers on the dice add up to 7?
6/49
(A + isqrt(B))/C
where i = sqrt(-1).
What is A/C + B? Express your answer as an improper fraction.
143/6
Find the volume of a cylinder with r = 2 in and h = 3 in, then convert the value to inches, and make it the radius of a sphere. Find the volume of the sphere, with pi.
2304pi^4
Find the definite integral of (x^2 + 4x - 8) on the interval [3, 5]. Express your answer as an improper fraction.
146/3
How many members are in the Kpop boy group BTS? Must be exact.
7
10 choose 4 (no calculator)
210
Define the parabola using the focus and directrix. Close enough gets the points.
A parabola is the set of all points equidistant from a point (focus) and a line (directrix).
A cyclic quadrilateral has side lengths, 4, 7, 3, and 10. Find the area of the quadrilateral. Express your answer as a simplified radical.
12sqrt(5)
Whiteboard question 2.
See whiteboard.
Guess the anime by the synopsis. Names are retracted.
"Ever since the death of his father, the burden of supporting the family has fallen upon [redacted]'s shoulders. Though living impoverished on a remote mountain, the [redacted] family are able to enjoy a relatively peaceful and happy life. One day, [redacted] decides to go down to the local village to make a little money selling charcoal. On his way back, night falls, forcing [redacted] to take shelter in the house of a strange man, who warns him of the existence of flesh-eating demons that lurk in the woods at night. When he finally arrives back home the next day, he is met with a horrifying sight - his whole family has been slaughtered."
Demon Slayer
Which of the following are true statements?
I. The standard deviation is the variance squared.
II. The standard deviation is always positive.
III. The standard deviation is strongly affected by outliers.
III only.
z = 11 - 8i
What is the absolute value of z? Express your answer as a simplified radical.
Square root of 185.
A perfectly spherical takoyaki (Japanese snack) has a radius of 6 mm. If the street vendors coat each takoyaki with a layer of Japanese barbeque sauce that is 1 mm thick, and they sell 100 takoyaki in 10 minutes, what is the radius of the cylinder they use for sauce, if the cylinder is 50 mm tall and completely filled, and it has zero thickness? (calculator active)
18.4 mm
Find the volume of the object when revolving the area under (x + 2x + 2) on the interval [1, 3] around the x-axis. Express your answer in terms of pi.
134pi
Guess the song based on the lyrics.
"She made my heart pound and skip a beat when I see her in the street and at school on the playground, but I really wanna see her on the weekend"
Baby - Justin Bieber (feat. Ludacris)
No calculator allowed.
10 percent of students at Smith High School have a blood disorder. All the students are tested. 85 percent of students who have the blood disorder test positive, while 2 percent of those students who do not have the blood disorder test positive. Given that a student tests positive, find the probability that they do not have the blood disorder. Express your answer as a fraction with only whole numbers.
18/103
White board question 1.
See the whiteboard.
What is the average volume of a human? Must be within 5 liters, closer wins.
65.22 liters
What is the average area in cubic inches of all circles with radii between 2 and 5 inches? Express your answer in terms of pi.
13pi
Who said this?
"Your most unhappy customers are your greatest source of learning."
Bill Gates