Section 2.1-2.3
Section 3.1-4.4
Section 5.1-5.4
Section 8.1-8.4
Section 9.1-9.3
Section 10.1-10.4
100
Graph the equation:
15x + 5y = 10
100
State whether the following rule defines y as a function of x or not. Is y a function of x?
x=y^2+7
No, because at least one x-value of the given rule corresponds to more than one y-value
100
Find the interest of the following loan. Assume 365 days in a year.
$38,400 at 11.25% for 197 days
$2331.62
100
Is the statement below true or false for the set?
{a, h, j, k} = {j, k, h, a}
True
100
Find the expected value of the random variable.
Expected Value = 3.6
100
What is the leaf numbers for 6 in order?
Steam = 6 and leaf = 1267
200
What is the x and y-intercept of the following graph?
x-intercept is 3
y-intercept is 5
200
What is the shape of the graph? Then find the x-vales of x = 0 and x = 1. Round to one decimal place.
f(x)=2.7^x
The graph "exponentially grows"
f(0) = 1
f(1) = 2.7
200
Find the compound amount for the deposit.
$13,000 at 2% compounded monthly for 19 years
compound amount $19,003.69
200
Shade the Venn Diagram to show the set.
DnnG'
200
Evaluate the expression
P(6,3)
120
200
Find the mean for the following list of salaries.
$30,000, $23,500, $33,120, $29,210, $24,400, $27,550, $27,100, $32,480
The mean is $28,420
300
Find the x-intercept and the y-intercept of the graph of the equation.
y=x^2-9
The x-intercept is 3, -3
The y-intercept is -9
300
The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can be approximated by the function g(t) = 14.64(1.046)^t, where t = 10 corresponds to the year 2010. (Round to the nearest hundredth place)
(a) Find the amount of dry natural gas energy produced in 2014.
(b) If the model continues to be accurate, project the amount of dry natural gas energy produced in 2025.
(a) The amount of dry natural gas energy produced in 2014 was 27.48 trillion cubic feet
(b) 2025 = 45.06 trillion cubic feet
300
The following money market account rates were available for a particular bank. Find the compound amount and the interest earned.
$13,000 at 1.11% compounded daily for one year
The compound amount is $13,145.10
The amount of interest earned is $145.10
300
Decide whether the events are disjoint. Being a marathon runner and being under 5 years old.
Are the events disjoint?
The events are disjoint because a person under 5 years old cannot be a marathon runner.
300
Evaluate C(10,4)
210
300
Find the range and standard deviation for the set of numbers. Round to the nearest hundredth if needed.
103, 110, 126, 133, 141, 146, 186
Range = 83
SD = 27.36
400
Find the slope of the line, if it is defined. The line through (-6,6) and (10, 6).
Use the definition of and formula for slope to write the numerical expression for calculating the slope of the line through the given points.
Slope = 0
Formula =
(6-6)/(10-(-6))
400
Evaluate the expression. Round your answer to 6 decimal places
log_45 5447
= 2.259938
400
Find the amount of the payments to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period.
$95,000; money earns 4% compounded semiannually for 2.5 years.
The payment size is $18,255.05
400
A pair of dice is rolled. What is the probability of getting a sum of 11?
1/18
400
A home improvement store website listed 222 different kinds of glass wall tile, 40 colors of acrylic grout, 21 kinds of mortar trowels, and 12 different kinds of mortar. How many ways are there to buy the products needed for the tile project?
2,237,760
400
The peak in a normal curve appears directly above ________.
the mean
500
Use the linear equation y=5/9(x-32), where x is the degrees Fahrenheit and y is the Celsius, to convert each temperature. Round your answer to one decimal place.
(a) 82 Celsius to Fahrenheit
(b) 81 Fahrenheit to Celsius
82 C --> 179.6 F
81 F --> 27.2 C
500
Use common or natural logarithms to solve the exponential equation. Round to 4 decimal places.
2e^(6x+6)=4
x = -0.8845
500
Find the present value of an ordinary annuity with deposits of $18,332 each year for 33 years at 10.4% compounded annually. What is the present value?
$45,269.84
500
A pair of standard dice is rolled. Find the probability of rolling a sum between 4 and 8 (exclusive)
5/12
500
A shipment of 33 computers contains 8 with defects. Find the probability that a sample of size 33, drawn from the 8, will not contain a defective computer. What is the probability that a sample of 3 of 8 computers will not contain a defective computer?
575/1364
500
Find the percentage of the total area under the standard normal curve between the following z-scores.
z=1.41 and z=2.83
Round to 2 decimals places as needed.
7.70%