Functions
PreCal Misc
Misc
Stats and Probability
Probability
100
This is the a(x-h)2+k form of the function f(x)=-x2-4x+1
What is -(x+2)2+5
100
This is the value of the following angle in degrees.
(5pi)/6
What is
150^o
100
Birthday:
What is: August 24 ?
100
The median and interquartile range of the following box and whisker plot
What is a median of 12 and an IQR of 9?
100
The probability of getting an average of 3 on two rolls of a fair die.
What is 5/36?
200
This is the solution for x in the equation log3x-log3(x-6)=1
What is x=9
200
These are the exact values for x between 0o and 360o that satisfy the equation
sinx=-(root2 3)/2
What are
pi/3, (2pi)/3
200
Name and ages:
What is Maddie(7 yrs) and Luke (10 yrs)
200
A factory that makes bottles knows that, on average, 1.5% of its bottles are defective. Find the probability that in a randomly selected sample of 20 bottles, at least one bottle is defective.
What is P=0.261?
200
Events A and B are independent, P(A)=
3/5
and P(A U B) =
2/3
.
Find P(B / A). Give an exact answer as a fraction in fully simplified form.
What is 1/6?
300
If f(x)= x2+1 and g(x)= 3x+2
This is
f o g (x)
9x^2+12x+5
300
Name the first vertical asymptotes of y = tan(pix)
What is : x = +/- (1/2)
300
Three positive integers a, b, c, where a<b<c, are such that their median is 15, their mean is 13 and their range is 10. Find the value of c.
What is 17?
300
This is the venn diagram correctly representing the following information.
Denise conducts a survey about food- students are asked which of three meals they would eat. Out of 145 students:
43 would eat spaghetti
80 would eat vegetable curry
20 would eat the vegetable curry and spaghetti
24 would eat the vegetable curry and the chili
35 would eat the chili and spaghetti
12 would eat all three meals
10 would not eat any meals
What is
400
Consider the arithmetic series -6+1+8+15+....
This is the least number of terms that result in the sum of the series being greater than 10,000.
What is n=55
400
The functions f and g are defined by
f(x)=3x+1 and g(x)=ax^2-x+5.
Find the value of a such that f(g(x)) = 0 has equal roots.
What is 3/64? or (.0469)
400
The standard deviation formula using cumulative frequency: (population)
What is :
sqrt((sum(x - u)^2)/n
400
Given that: Find P(B)
(A cup B)' = emptyset, P(A'|B)=1/5 and P(A)=14/15.
What is P(B) = 1/3?
400
Consider the events A and B such that P(A)= 0.67, P(B)= 0.54, and P(A U B) = 0.89.
Find P(A U B'). Give an exact answer as a decimal.
What is 0.78?
500
This is the term in x5 in the expansion of
(x^2-3/x)^7
-945x5
500
The angle of elevation of the top of a building from a point A on the ground is 65°.
The point A is 25 m away from the base of the building.
Find the height of the building.
What is: 53.6 m
500
A dice has 2 sides coloured blue and 4 sides coloured red. If the dice is thrown three times, what is the probability that it will show red twice and blue once?
What is 4/9?
500
200 people are asked to estimate the size of an angle: 16 gave an estimate which was less than 25 degrees, and 42 gave an estimate which was greater than 35 degrees. Assuming that the data follows a normal distribution, estimate its mean and standard deviation.
What is a mean of 31.4 degrees and a standard deviation of 4.52 degrees?
500
The functions f and g are defined by
f(x)=3x+1 and g(x)=ax^2-x+5.
Find the value of a such that f(g(x)) = 0 has equal roots.
What is 3/64?