The price of a mansion is $1.00 in 2013.
What is difference between a nominal and real variable?
Nominal variables are expressed in money or dollar terms, whereas the real variable compares the wage earned per hour to the basket of goods or services that it can purchase.
In comparing the wage earned per hour to 2 comic books, since the two would cost $12,that explains real variable, which is not required in this case.
However, comparing the the wage of $12 per hour to the price of mansion, which is $1 per one, indicates nominal variable.
In essence, the correct option in this case is that price of a mansion is $1.00 in the year 2013.
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ONE HUNDRED LOTTERY TICKETS ARE SOLD FOR $5.00 EACH. ONE PRIZE OF $300
WILL BE AWARDED. STEVE PURCHASES ONE TICKET. FIND HIS EXPECTATION. SHOW ME THE WORK SO I CAN UNDERSTAND THANKS
Steve's expected win from the lottery ticket purchase is $3 because his chance of winning the $300 prize is only 1%.
How are the expected winnings of the lottery determined?The expected winnings for Steve are a function of the probability of some predictable outcomes.
In this situation, the predictable outcome is the size of the lottery prize.
The probability that Steve will win the prize is 1% (1/100), depicting his chance of winning.
Data and Calculations:Sale price per ticket = $5
Lottery prize = $300
Value of lottery prize to Steve if he wins = $295 ($300 - $5)
Probability of winning = 1% (1/100 x 100)
Expected win = $3 ($300 x 1%)
Thus, Steve's expected win is $3, which outweighs the cost of a ticket.
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A data set has a mean of x = 75 and a standard deviation of 11.4. Find the z-score for each of the following.
Part (a)
[tex]z=\frac{85-75}{11.4} \approx \boxed{0.88}[/tex]
By similar logic, the answers to the other parts are
(b) 1.75
(c) -2.19
(d) 0
(1 point) Find y as a function of x if
y" - 12y" + 32y' = 0,
y(0) = 5, y'(0) = 2, y" (0) = 1.
0
y(x) =
Ms. Oshiro teaches her 27 students to make folded-paper birds. Each student can make about 2 birds in 1 minute. About how many birds can all the students make in 55 minutes? A 3,000 B 1,500 C 100 D 60
Answer:
The answer is 2970
Step-by-step explanation:
Collectively, all the students can make about 54 books rds per minute (27 * 2)
Therefore in 55 minutes there should be 2970
(54*55) :)
PLEASE HELP Find the value of x.
X
15
12
Answer: x = 9
Step-by-Step Solution:
Hypotenuse = 15 units
Base = 12 units
Altitude = x units
Using Pythagoras Theorem,
=> Hypotenuse^2 = Base^2 + Altitude^2
(15)^2 = (12)^2 + x^2
225 = 144 + x^2
225 - 144 = x^2
81 = x^2
x^2 = 81
x = √81
=> x = 9
Therefore, Altitude = 9 units
List the domain and range in interval notation for the following graphs listed?
The domain and range of the given graphs are as follows,
(b) Domain: x ∈ (-∞, ∞), Range: y ∈ (-∞, ∞)
(c) Domain: x ∈ [-2, ∞), Range: y ∈ [1, ∞)
Determining the Domain and Range from a Graph
The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The various output values are represented on the y-axis as the range.
Thus, in graph (b),
Since the values of the given curve extends infinitely (denoted by arrowhead of the curve) on positive as well as negative sides for both the axes, x and y, its domain and range both are (-∞, ∞).
Similarly, in graph (c),
The minimum value on x-axis or abscissa is -2 and maximum is infinity. Hence, its domain is [-2, ∞). The minimum ordinate value or y-coordinate is 1 and maximum is infinity. Thus, its range is [1, ∞).
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What is the next number in the following sequence 0 0 1 2 2 4 3 6 4 8 5
Answer:
10
Step-by-step explanation:
the sequence follows the rule of adding the number and then the number -1 depending on the number before it. for example, you can see in order to get from 2 to 2, it adds 0 or subtracts by 0. After that to get from 2 to 4, you add 2. After that, you subtract 1 from 2 and you subtract that number which is 1 from 4 to get 3 and so on. Following that rule, you get 10 as the next number in the sequence
WILL GIVE BRAINLIEST
HELP PLEASE
Select the correct answer.
The section of paper shown in the pattern below is of a circle. It will be wrapped around a cone. The wrapper will then be painted.
What is the amount of paint needed to paint 100 of these wrappers? Round your answer to the nearest hundred.
Answer:
C
Step-by-step explanation:
Area of a 1/4 sector of a circle = 1/4 * pi r^2
Givens
100 of these quarter sectors
pi = 3.14
r = 12
Solution
You are using area because you are going to paint each one of the sectors. You must cover every cm^2 with paint.
Area = 1/4 * 3.14 * r * r
Area = 1/4 * 3.14 * 12 * 12
Area = 113.25
But there are 100 of them. so the area is
100 * Area = 11325 cm^2
Rounded to the nearest 100 hundreds = 11300 cm^2
Answer:
The answer is 11,300 cm²
Step-by-step explanation:
I got it right on edmentum jope this helps your question.
here is another one that i need help on What number represents the same amount as 8 hundreds + 10 tens + 0 ones
Answer:
810 is the number that represents the same amount.
Hope this helps :)
How many and of which kind of roots does the equation f(x)=x^3+2x^2+4x+8 have?
The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.
What kind of roots does have a cubic equation?
In this problem we have a cubic equation and the nature of their roots must be inferred according to a algebraic method.
Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, there is a method to infer the nature of the roots of such polynomials: The discriminant from Cardano's method, an analytical method used to solve polynomials of the form a · x³ + b · x² + c · x + d = 0.
The discriminant is described below:
Δ = 18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d² (1)
Where:
There are three distinct real roots for Δ > 0.Real roots with multiplicity greater than 1 for Δ = 0.A real root and two complex roots for Δ < 0.If we know that a = 1, b = 2, c = 4 and d = 8, then the nature of the roots is:
Δ = 18 · 1 · 2 · 4 · 8 - 4 · 2³ · 8 + 2² · 4² - 4 · 1 · 4³ - 27 · 1² · 8²
Δ = - 1024
The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.
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Solve:
55) A pool is filling at 3 pts per min. How many gallons per hour is that?
What is the value of the last digit in 3,500.45
Answer:
five-hundredths
Step-by-step explanation:
GEOMETRY
Surface area of a cube or a rectangular prism
There is a rectangular prism with a length of 8 yd, a width of 6 yd, and a height of 5 yd.
Find the surface area of this rectangular prism.
Be sure to include the correct unit in your answer.
A bookstore carries 48 magazines. 75% of the magazines are women's magazines. How many women's magazines does the bookstore carry?
Answer:
36
Step-by-step explanation:
75/100
75/100=0.75
0.75*48 =36
solve x^2 + x - 12 = 0
Answer:
x₁ = -4
x₂ = 3
Step-by-step explanation:
x²+ x + 12 = 0
x = {-1±√((1²)-(4*1*-12))} / (2*1)
x = {-1±√(1+48)} / 2
x = {-1±√49} / 2
x = {-1±7} / 2
x₁ = {-1-7} / 2 = -8/2 = -4
x₂ = {-1+7} / 2 = 6/2 = 3
Check:
x₁
-4² + (-4) - 12 = 0
16 - 4 - 12 = 0
x₂
3² + 3 - 12 = 0
9 + 3 - 12 = 0
You need to haul a load of patio bricks to a job site. Each brick weighs 4 pounds 14 ounces. Your truck can carry a 3/4 -ton load. How many bricks can your truck carry in a full load?
A.
300
B.
307
C.
362
D.
409
E.
483
simplify 12x^6-4x^4+6x^2 over 2x^2
Answer:
6x⁴ - 2x² +3
Step-by-step explanation:
[tex]\frac{12x^6-4x^4+6x^2}{2x^2}=6x^4 - 2x^2 + 3[/tex]
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 27% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi (pounds per square inch.)
The psi that the TPMS would trigger a warning for this car is = 23.36 psi
Calculation of tire pressureThe target tire pressure of the car is = 32 psi (pounds per square inch.)
The Tire pressure monitoring systems (TPMS) warns the car below 27% of 32psi
That is , 27/100 × 32
= 864/100
= 8.64psi
Therefore, 32 - 8.64 = 23.36. When the car is below 23.36psi, TPMS would trigger a warning for this car.
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Complete question:
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 27% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi (pounds per square inch.)
At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is above or below?
Barbara runs once around the track in 3 minutes 45 seconds. Liad runs around the track in 2
minutes 30 seconds. At these rates, after 10 minutes of running, the distance Barbara has run is
what fractional part of Liad's?
Answer:
2/3rds of liad's run
Step-by-step explanation:
3 min 45s = 3 3/4 min = 15/4 min; 10/(15/4) = 8/3 laps
2min 30s = 2 1/2 min = 5/2 min; 10/(5/2) = 4 laps
(8/3)/4 = 2/3
Write 2.154 × 10∧5 in decimal form.
The decimal notation for the given value in scientific notation is 215400.
How to convert from scientific to decimal notation?Very large or very small numbers are denoted in scientific notation to simplify complex calculations.
The scientific notation is represented by: a × 10ⁿ
Wher a - any number or decimal number
n - the power of 10; it is an integer number
To convert this into decimal notation,
If the value of n is positive, then the decimal point in the 'a' moves right. (OR)If the value of n is negative, then the decimal point in the 'a' moves left.Calculation:The given number is in the scientific notation,
2.154 × 10⁵
Since the power of 10 is positive, the decimal point in the number 2.154 moves towards the right. I.e,
2.154 × 10⁵ = 215400
Here power is 5. So, the decimal point moved five places to the right.
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The ratio of Sadias age to her fathers age is 3:5. The sum of their ages is 96. What is Sadias age.
Answer:
36 years old
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
sum the parts of the ratio , 3 + 5 = 8
divide the sum of their ages by 8 to find the value of one part of the ratio
96 ÷ 8 = 12 ← value of 1 part of the ratio , then
3 parts = 3 × 12 = 36 ← Sadias age
A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes.
a) The slope of the secant lines are: q = 5, f(q) = 2,076: m = - 131.1, q = 10, f(q) = 1,299: m = - 106.8, q = 20, f(q) = 357: m = - 81.6, q = 25, f(q) = 84: m = - 68.1, q = 30, f(q) = 0: m = - 51.
b) The estimated slope of the line tangent to the curve at the point (x, y) = (15, 765) is - 94.2 gallons per minute.
How to estimate the slope of a tangent line by averaging two adjacent secant lines
In this problem we must determine the slope of several lines based on the information given by the table and using the secant line formula:
m = [f(q) - f(p)] / (q - p) (1)
If we know that a = 15 and p = 765, then the slope of the secant lines are:
q = 5, f(q) = 2,076
m = [2,076 - 765] / (5 - 15)
m = - 131.1
q = 10, f(q) = 1,299
m = [1,299 - 765] / (10 - 15)
m = - 106.8
q = 20, f(q) = 357
m = [357 - 765] / (20 - 15)
m = - 81.6
q = 25, f(q) = 84
m = [84 - 765] / (25 - 15)
m = - 68.1
q = 30, f(q) = 0
m = [0 - 765] / (30 - 15)
m = - 51
The slope of the line tangent to the curve at the point (x, y) = (15, 765) can be estimated by averaging the slopes of the closest secant lines:
m' = [(- 106.8) + (- 81.6)] / 2
m' = - 94.2
The estimated slope of the line tangent to the curve at the point (x, y) = (15, 765) is - 94.2 gallons per minute.
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Which equation does the graph represent?
Answer:
It is the second answer
Step-by-step explanation:
The standard form of an ellipse is
x^2/a^2 + y^2/b^2 or x^2/b^2 + y^2/a^2 = 1
If the x is the main axis we use the first form. If the y is the main axis we use the second form. We will use the second form.
our a is 3 and our b is 4
x^2/3^2 + y^2/4^2
2х+чу=4 and x + 2y = 3
Since the values on both sides are equal, hence the system of equation given has no solution
Solving simultaneous equationsSimultaneous equations are equations that consists of two or more equation and unknowns.
Given the equation below
2х+4у=4
x + 2y = 3
From equation 2;
x = 3 - 2y
Substitute into equation 1
2(3-2y) + 4y = 4
Expand
6 - 4y + 4y = 4
6 = 4
Since the values on both sides are equal, hence the system of equation given has no solution
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Find the value of b.
Step-by-step explanation:
b + 35° = 180° ( supplementary angle )
b = 180° - 35°
b = 145°
Answer: [tex]\Large\boxed{b=145^\circ}[/tex]
Step-by-step explanation:
Given information
∡1 = 35°
∡b = ?
Total Angle = 180° (Supplementary Angle)
Derived formula from the given information
∡1 + ∡b = Total Angle
Substitute values into the given formula
(35) + b = 180
Subtract 35 on both sides
35 + b - 35 = 180 - 35
[tex]\Large\boxed{b=145^\circ}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle
Answer:
A, C
Step-by-step explanation:
See attached image.
im just here to help fl vs students Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5
Mathematical expression involves an equation that may consist of numbers only or combined with alphabets, which may also be given in the form of a statement. Therefore the required statement in the question is option C. Add 3 to the product of one-fourth and 8, then divide by 5.
Mathematical expression involves an equation that may consist of numbers only or combined with alphabets, which can be given in the form of a statement. When a given expression consists of both numbers and alphabets, then it forms an algebraic expression. It can also be given in the form of a statement.
Given in the question:
([tex]\frac{1}{4}[/tex] x 8 + 3) ÷ 5
This can be given in a statement form as; Add 3 to the product of one-fourth and 8, then divide by 5.
The appropriate statement that describes the given expression is: Add 3 to the product of one-fourth and 8, then divide by 5 i.e Option C.
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If 5 bags weigh the same as 3 blocks, how many blocks will 9 bags weigh?
OA) 3 blocks
OB) 4.4 blocks
OC) 5.4 blocks
OD) 15 blocks
Answer: C. 5.4 Blocks
Step-by-step explanation:
Given information
5 bags = 3 blocks
Set variable
Let x be the number of blocks
Constructure proportional equation
[tex]\frac{3}{5} } ~=~\frac{x}{9}[/tex]
Cross multiply the fraction
[tex](3)~*~(9)~=~(5)~*~(x)[/tex]
[tex]27~=~5x[/tex]
Divide 5 on both sides
[tex]27~/~5~=~5x~/~5[/tex]
[tex]\Large\boxed{x=5.4~blocks}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
oc
Step-by-step explanation:
5 times .6 equals 3
9 times .6 equals 5.4
David rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 84 cents for each mile driven. David had to pay $250.67 when he returned the truck. For how many miles did he drive the truck?
Answer:
277 miles
Step-by-step explanation:
The question is attached
Answer:
We call the denominator rational.
Step-by-step explanation:
For example:
[tex]\frac{1}{\sqrt{2}} = \frac{\sqrt2}{\sqrt2 \cdot \sqrt2} = \frac{\sqrt2}{2}[/tex]
It's clear that the denominator is now a rational number, not an irrational one anymore.
