Prob. & Stats.
Mara is stringing a necklace and she selects each bead at random from a basket of beads. If there are currently 5, yellow beads, 10 red beads, 15 green beads, and 20 blue beads in the basket, what are the chances that she will select a red bead next?
10/50 or 1/5
Find the median of {1, 4, 3, 2, 5, 6, 6}
4
Get sleep
Good sleep
Find the slope of the tangent line to y=2x2−16x+21 where x=2
-8
Two angles are supplementary and have a ratio of 1:4. What is the size of the smaller angle?
36 degree
What is the sum of the mean, mode, and median of the following set of data:
20, 25, 7, 40, 13, 15, 20, 28
61
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
$408.04
Eat food
Good food
There is a circle on a coordinate plain. Its perimeter passes through the point (1,0). At this point meets a tangent line, which also passes through the point (5,7). What is the slope of the line perpindicular to this tangent line?
-4/7
A student creates a challenge for his friend. He first draws a square, the adds the line for each of the 2 diagonals. Finally, he asks his friend to draw the circle that has the most intersections possible.
How many intersections will this circle have?
12
Angela scores 17, 19, 13, 24, and 14 points in the first five games of a seven-game basketball season. If the scoring leader in Angela’s league averages 18 points per game, how many points must Angela score in the final two games combined to end the season with the highest scoring average in the league AND have a higher scoring average than any other player?
A rectangular container hold a liquid. The dimensions of the container are 5 cm by 5 cm by 4 cm. If the container is half full, how much liquid is in the container? (1cm^3 = 1mL)
50 mL
Real hard
Circle A is centered about the origin and has a radius of 5. What is the equation of the line that is tangent to Circle A at the point (–3,4)?
3x – 4y = –25
If ∠A measures (40−10x)∘, which of the following is equivalent to the measure of the supplement of ∠A ?
(10x+140) degree
To make a 750-piece jigsaw puzzle harder, the box included 5 extra pieces along with the 750 and those extra 5 pieces do not fit anywhere. If you open the box and select 1 random puzzle piece what is the probability that you have selected one of the 5 extra pieces?
5/755
A dog eats 9 treats in 4 days. How many treats does the dog eat in 4+x days?
9 + 9x/4
Answer questions
Every question
Give the equation, in slope-intercept form, of the line tangent to the circle of the equation
x2−6x+y2−91=0
at the point (−3,8).
y=3/4x + 41/4
In rectangle ABCD, both diagonals are drawn and intersect at point E.
Let the measure of angle AEB equal x degrees.
Let the measure of angle BEC equal y degrees.
Let the measure of angle CED equal z degrees.
Find the measure of angle AED in terms of x, y, and/or z.
180 – 1/2(x + z)
The following is a list of the ages of 10 people randomly selected off the street:
{12, 45, 73, 23, 32, 26, 30, 31, 19, 21, 33}.
What is the mode of the data set?
There is none
There are 300 sandwiches at a company-wide picnic. If half the sandwiches are tuna, and the provider mistakenly uses expired tuna in 3/5 of those sandwiches, what percentage of the total sandwiches are still edible?
70%
Pace yourself
Love yourself
What is the equation of a tangent line to
y=x2+4x+2
at point (1,7) ?
y=6x + 1
One-half of the measure of the supplement of angle ABC is equal to the twice the measure of angle ABC. What is the measure, in degrees, of the complement of angle ABC?
54