Find the measure of the smallest angle
38.2 degrees
Using the graph, identify the median mark.
46-48 marks
Shown below is a table organizing prom attendance at a high school.
a) what is the probability that when randomly selecting an upperclassman, it is a junior that attended Prom?
b) Given that it is a senior, what is the probability they did not attend Prom?
a) 42/220 = 21/110 = 0.191
b) 37/114 = 0.325
a) k = 1/10
b) E(X)=0.9
What does "www" stand for in an internet browser?
World Wide Web
m<A = 38.2 degrees
Find the area of the triangle
17.3 cm2
10% of students scored less than ____ marks.
18
E = Jose misses the bus
F = Jose is late for school.
a) Find
P(E and F)
b)
P(F)
a) 7/24 or 0.292
b) 13/24 or 0.542
A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 14 calculators is tested.
a) Find the probability that exactly 2 of them would be faulty
b) Find the probability that more than 2 would be faulty.
a) 0.0286
b) 0.00247
What animal can be seen on the Porsche logo?
Horse
A) Find the length of arc ACB.
B) Find the area of the shaded region
B) 482 CM2
At a conference of 100 mathematicians there are 72 men and 28 women. The men have a mean height of 1.79 m and the women have a mean height of 1.62 m. Find the mean height of the 100 mathematicians.
1.74 m
You have 2 kinds of pizza: Pepperoni and sausage. In a class of 30, 12 like pepperoni and 14 like sausage. 22 people like either pepperoni, sausage, or both.
How many people like both pepperoni and sausage?
4
A box contains a large number of biscuits. The weights of biscuits are normally distributed with a mean 7 g and a standard deviation of 0.5 g.
a) One biscuit is chosen at random from the box. Find the probability that this biscuit
i) weighs less than 8 g
ii) weighs between 6 g and 8 g
b) 10% of biscuits weigh more than k grams. Find k.
ai) 0.977
aii) 0.954
b) k = 7.64
What is the common name for dried plums?
Prunes
A) Calculate AB
B) Find the area of the triangle
a) 3.26 cm
b) 7.07 cm2
Find the
a) mean
b) median
c) mode
a) 3.8
b) 4
c) 5
At a large school, 52% of the students identify as girls, and 85% of them learn Spanish and 75% of the students who don't identify as a girl learn Spanish.
a) What percentage of students learn Spanish?
b) What percentage of students are girls who learn Spanish?
c) Given that a student learns Spanish, what is the probability that it is not a girl?
a) 0.802
b) 0.442
c) 0.36/.802 = 0.449
X is binomially distributed with 32 trials and a probability of success of 0.83. The probability of exactly 14 successes can be modeled by the following equation:
What are the values of a, b, c, and d?
a = 14
b = 14
c = 0.17
d = 18
What awards has an EGOT winner won?
An Emmy, Grammy, Oscar, and a Tony
The diagram shows a circle of radius 5 cm. Find the perimeter of the shaded region.
36.4 cm
a) Find the correlation coefficient (r)
b) By calculating the equation for the LSRL (least squares regression line), estimate the number of ice creams that would be sold if the temperature were 25 degrees Celsius.
a) 0.945
b) 37 ice creams
P(A) = 0.7
P(B)=0.3
P(A or B)=0.9
Draw a venn diagram.
Find...
P(A and B)
P(A|B)
P(B'|A)
P(A and B) = 0.1
P(A|B) = 0.1/0.3 or 1/3
P(B'|A)=0.6/0.7 = 6/7
A company makes containers of yogurt. The volume of yogurt in the containers is normally distributed with a mean of 260 ml and a standard deviation of 6 ml. A container which contains less than 250 ml of yogurt is underfilled.
a) A container is chosen at random. Find the probability that it is underfilled.
The company decides that the probability of a container being underfilled should be reduced to 0.02. It decreases the standard deviation to σ and leaves the mean unchanged.
b) Find σ.
a) 0.0478
b) σ=4.87
What is a group of ravens known as?
An unkindness