MAT 143 Unit 1 Review Solutions(1)
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MAT 143 Test 1 Review Name_______________________
1)
You are traveling in Mexico and a road sign says that Nogales, Mexico is 50 km away. How far is this distance in miles? (Round to the nearest tenth)
2)
You are making smoothies for a large charity event. You realize that your recipe is calling for 416 fluid ounces of milk. a.
How many cups of milk will you need?
b.
The store that you go to only sells gallons of milk. How many gallons will you have to buy to make your recipe? ; So you will have to buy 4 gallons
c.
Will you have any milk left over after you make your smoothies and if so, how many cups?
Yes, 4 – 3.25 = .75 gallons
3)
A sling shot projects an object at a speed of 4 miles per hour. Find the speed in feet per second. (Round to the nearest hundredth.)
4)
A field is 120 yards long and 80 yards wide. Find its area in square feet
.
5)
You want to put a sand box in your back yard that is 10 ft long and 6 ft wide and you want your soil to be 0.5 ft deep. The store sells the soil by the cubic yard. How much soil will you need? (Round to the nearest hundredth.)
6)
Use a chain of conversions, with familiar measures of time, to convert 40 weeks into seconds.
7)
A 12oz can of root beer holds 335 ml in the bottle. How many liters of root beer are in the can?
Convert 335ml to liters by moving the decimal 3 places to the left
The answer is .335L
8)
The normal body temperature of a dog is considered to be 38.2
C. What is this temperature in Fahrenheit? What is this temperature in Kelvin?
9)
Some California residents have been known to drive across the border just to fill up with less expensive gas. a.
If the current price of gas in Mexico is 12.59 pesos per liter, what is the price of gas in US dollars per gallon.
b.
The current price of gasoline in California is $4.19 (US dollars per gallon). How much will you save if you purchase 15 gallons of gas in Mexico as opposed to purchasing 15 gallons of gas in California? 10)A doctor orders a single dosage of 0.5 mg of Digoxin to be given to a patient. a.
How many micrograms is this? .5mg to micrograms so we will move the decimal 3 places to the right
The answer is 500 micrograms
b.
If Digoxin is only available in 250 microgram tablets, how many tablets should the patient receive?
11)Onslow County has a population of 183,263 people. The unemployment rate in Onslow County is 6%. Find the number of unemployed people in Onslow County (Round to the nearest whole number).
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12)In 2004, there were 8,569 Starbucks stores worldwide and in 2012 there were a total of 17,572 Starbucks stores worldwide.
a.
Find the absolute change in the number of Starbucks stores from 2004 to 2012. Write a sentence to put your answer into context.
The number of Starbucks increased by 9003 stores from 2004 to 2012
b.
Find the relative change in the number of Starbucks stores from 2004 to 2012. (Round to the nearest percentage). Write a sentence to put your answer into context.
The number of Starbucks stores increased by 105% from 2004 to 2012
13)Fill in the blank. a.
The area of John’s house is 17% larger than that of Jack, so John’s house is____
117
% of the area of Jack’s house.
b.
Julie’s old computer is 40% slower than the new one, so the old computer’s speed is ___
60
___ % of the new one.
14)The listed price of a new car was $26,500. Chris, knew how to negotiate and was able to convince
the sales person to reduce the price of the car by 28%. How much will Chris pay for the car? 15)The final cost of a video camera is $399.00 (with tax included
). The local sales tax rate is 7.6%. Calculate the labeled price of the camera before tax. (round your answer to 2 decimal places).
16)In 2012, Starbucks had profits of $13.29 billion. Express this profit in terms of dollars per minute.
17)A customer service center has a goal of resolving customer questions in 10minutes or less. Here are the records for two representatives. a.
Fill in the missing information in the table. Representative
Representative
Goal Met
Alexis
Peyton
Yes
172
118
No
28
82
Total
200
200
Success Rate (% Goal Met) b.
On the surface, which representative would seem to have a better success rate?
Overall, Alexis appears to have the better success rate.
18) Here are the counts from the previous problem broken down by week Week #1
Week#1
Week #2
Week#2
Goal Met
Alexis
Peyton
Alexis
Peyton
Yes
162
19
10
99
No
18
1
10
81
Total
180
20
20
180
Success
Rate (% Goal Met)
Which representative had a higher success rate for week one? Peyton
Which representative had a higher success rate for week two? Peyton
Is this an example of Simpson’s Paradox? Explain why or why not. Yes, because overall it appears as though Alexis has the higher success rate but when broken
down by weeks, Peyton has the better record.
19) 85,611 California and North Carolina pet owners responded to a survey. Data from the survey results is given in the table. Use data from the table to answer the questions below.
California
North
Carolina
Totals
Number of Registered Dogs
52,051
10,604
62655
Number of Registered Cats
18,908
4,048
22956
Totals
70959
14652
85,611
*Note: None of the respondents reported owning animals of both types.
a.
What percent of all respondents have a registered dog? (Round to the nearest hundredth of
a percent)
b.
Among all respondents, what percentage has a registered cat? (Round to the nearest hundredth of a percent)
c.
Among all North Carolina respondents, what percentage has a registered dog? (Round to the nearest hundredth of a percent)
d.
Which are more prevalent, registered cats among California respondents or registered cats among North Carolina respondents? Show your work; round to the nearest hundredth of a percent.
So the number of registered cats among NC residents is more prevalent
20)
Onslow County has decided to create a Township Commission with 10 seats. The population of each township is shown in the table. Use Hamilton’s method of apportionment to complete the chart below and determine the number of seats for each township.
a. Calculate the Standard Divisor for the entire data set. Show work.
b.
Calculate the Standard Quota for each state and write it in the table. (Round to the nearest
hundredth)
c.
Round Each Standard Quota down and write it in the table. Do you have any seats left over? If so, how many?
Yes, 2 seats
d.
Distribute any leftovers to groups with the largest fractional parts until all are distributed.
Township
Stump
Sound
Jacksonville
Swansboro
Richlands
Total
Population
17,336
70,537
19,417
20,615
127905
Standard Quota
1.36
5.51
1.52
1.61
____
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Township
Stump
Sound
Jacksonville
Swansboro
Richlands
Total
Minimum Quota
1
5
1
1
8
Fractional Remainder
.36
.51
52*
*largest
.61*
*largest
_____
Final Apportionment of Seats
1
5
2
2
10