Algebra Practice
A right cylinder has a radius of 2 inches and a height of 5 inches. The volume of the cylinder is? Leave your answer in terms of pi.
V=20pi
What are complementary angles? Write a sentence AND draw a diagram.
Complementary angles are 2 angles that add up to 90 degrees.
There are 52 cards in a deck, 13 cards per suit. What is the probability of pulling a diamond or a queen?
P(A u B) = P(A) + P(B) - P(A & B)
P(A u B) = 13/52 + 4/52 - 1/52
= 16/52 = 0.308 = 30.8%
Suppose the weight of rabbits is normally distributed with a mean of 10 lbs and standard deviation of 2. According to the Empirical Rule, 99.7% of rabbits have weights within what range?
30/x=14/30
x=64.29
What is the supplementary angle to 13 degrees?
167 degrees
Out of 100 9th graders, 60 enjoy playing basketball, 30 enjoy playing baseball/softball, and 15 people like both. The rest like neither. What is the probability that someone likes both given that they like basketball?
15/60 = 0.25 = 25%
Suppose the weight of rabbits is normally distributed with a mean of 10 and standard deviation of 2. What is the probability of a rabbit weighing less than 7.5 pounds?
1-0.89435 = 0.10565 --> 10.6% chance
A triangle has three angles. Solve for the value of angle B:
m<A: x
m<B: 2x+15
m<C: 5x+5
x=20
m<B = 55
Triangle ABC is similar to triangle XYZ. If <A = 56 degrees and <Z=90 degrees, what is...
<C = ?
<B = ?
<X = ?
<C = 90 degrees
<B = 34 degrees
<X = 56 degrees
When Mr. Rahman makes a sandwich, he can choose from 3 types of bread, 2 types of meat, and 5 types of cheese.
1) Draw a tree diagram of this situation (include probabilities)
2) What is the probability of making each unique sandwich?
1) See diagram
2) 1/30 = 0.03 = 3%
Which statement about data collection is most accurate?
a) A survey about 9th grade ice cream preferences given to 11th graders will give an accurate representation of 9th grade preferences
b) As sample size increases, experimental probability gets closer to theoretical probability
c) A survey given to every other student who enters the library about how much they like their school will yield biased results
B
The width of a rectangle is x and the length is y. Write an equation to represent this situation if the perimeter = 600.
2x+2y=600
A triangle with a base of 3 and a height of 6 is spun around the height. 1) What type of solid is created?
2) Solve for the volume of the solid
1) Cone
2) 18pi or 56.55 in cubes
Ms. Greenhill's class took a survey about ice cream preferences and this is what they found:
Chocolate Vanilla Strawberry
Juniors: 42 27 45
Seniors: 67 42. 21
Given a student preferred chocolate, what is the probability they were a senior?
1-0.65542=0.34458-->34.5%
Solve for x:
x/7.2 = 3.29/5.4
x=4.52
95 deg
To create a quiz, Ms. Rubbins can choose from 30 Easy True/False questions, 20 Hard True/False questions, 50 Easy Multiple Choice, and 40 Hard Multiple Choice questions. If a question is selected randomly, what is the probability that it's an easy question given that it's multiple choice?
p=50/90=0.56=56%
The height of students at Mesa can be modeled using a normal distribution curve with a mean of 68 inches and a standard deviation of 3.5 inches. What is the probability that a student's height is less than 60 inches OR greater than 75 inches?
Less than 60: 1-0.98899= 0.011--> 1.1%
More than 75: 1-0.97725=0.02275--> 2.3%
Add 1.1% + 2.3% = 3.4%