Name :________________________________________________
ALGEBRA 2 MIDTERM TAKE HOME:
DUE FRIDAY MORNING @ 9:40 AM SHARP!!
1. A new medicine has a 60% cure rate. Find the probability that for the next 20 people who undergo treatment, exactly
16 people are cured.
Use this table to answer questions 2 – 6. The table below lists the science courses taken by students at a community
college. Suppose a student is selected at random. Find each probability.
Biology
Chemistry
Physiology
Total
Females
205
240
160
605
Males
185
250
140
575
Total
390
490
300
1180
2) P (female| student takes Physiology)
3) P (male | student takes Biology)
4) P (student takes Chemistry | male)
5) P (student is female and takes Biology)
6) P (student is female or takes Chemistry)
For Questions 7-9, use the table below.
Beaver Cat
122
63
Gestation (x days)
5
12
Life Span (y years)
Deer
201
11
Elk
250
15
Goat
151
8
Gorilla
257
20
Hippo
238
25
Pig
112
10
Wolf
63
5
7) Enter the data into your calculator and generate a scatter plot of the data. Use the regression capabilities of your
graphing calculator to determine a best-fit linear regression model for the data. Round your answer to the nearest
thousandths and write the equation below in the form y  mx  b .
8) Using your equation that you found in Question 7), approximate the life span of an animal with a gestation period of
225 days. Show how you arrived at your answer and round your answer to the nearest year.
9) If a liger has a life span of 43 years, what is the approximate number of days for gestation?
10) Anne just bought a used car for $4830. She has to pay $110 a month in car insurance. Working at Macaroni Grill she
makes $800 a month. How many months will it take for Anne to break-even?
Name :________________________________________________
11) A company placed 1,000,000 in three different accounts. It placed part in short-term notes paying 4.5% per year,
twice as much in government bonds paying 5%, and the rest in utility bonds paying 4%. The income after one year was
$45,500. How much did the company place in each account?
12) Troy wants to take out ads for his computer repair business in the Daily Herald and the Times Tribune. Let x be the
number of column inches he takes in the Daily Herald and let y be the number in the Times Tribune. The Daily Herald
has 4000 readers, while the Times Tribune has 3000 readers.
a) Write an objective function to represent the exposure of Troy’s adds to the readers of each paper.
E=
b) Troy wants the total column inches in both papers combined to be at most 35. Write an inequality that expresses this
constraint.
c) The cost of each column inch of advertising in the Daily Herald is $40 and the cost of each column inch of advertising
in the Times Tribune is $16. Troy wants to spend a total of at most $800. Write an inequality that expresses this
constraint.
d) Write the two other obvious constraints concerning this real-world situation and graph the feasible region using all four
constraints. What combination of x and y will maximize the exposure of Troy’s adds in the linear combination you wrote
for question a)?
50
45
40
35
30
25
20
15
10
5
5 10 15 20 25 30 35 40 45 50
13) A grocery store will only accept yellow onions that are at least 3 inches in diameter. A farmer has a crop of onions
with diameters that are normally distributed, with a mean diameter of 3.25 inches and a standard deviation of 0.25 in.
a) What percent of the onions will be accepted by the grocery store?
b) If the farmer grows 6500 onions, how many will be sent to the grocery store?