(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.
Of the options provided, the measures that assess variability are:Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.
Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.
Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.
Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.
The mean and median are measures of central tendency and do not directly measure variability.
To learn more about variance here:
https://brainly.com/question/30044695
#SPJ4
pls help me
i need to pass my geo class
Answer:
XY = 18
Step-by-step explanation:
In this picture, XD = DW, and YE = EZ, so we are able to use the midline theorem. From the midline theorem, we can easily determine that (XY + WZ)/2 = DE. From this, we can plug in: (XY + [tex]\frac{4}{3}[/tex]XY) = 2 * 21. So, simplifying that equation gets: [tex]\frac{7}{3}[/tex]XY = 42. So, XY = [tex]42 * \frac{3}{7} = 18[/tex].
(if i'm going to be honest, i'm sure your geometry teacher covered this in class. just make sure to pay attention next time.)
Answer:
XY = 18 ft.
Step-by-step explanation:
Calculate the Volume of the log
Answer:(A=πr2).
Step-by-step explanation:The cubic feet, or volume, of a cylindrical log is given by the volume of a cylinder V=πhr2. A log with radius of 2 feet and height of 10 feet would have a volume of about 125.66 cubic feet (or ft3). The volume can also be thought of as the area of the base times height with the base area being the area of a circle (A=πr2).
A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. What is the unit rate in quarts per pound?.
10 pounds of barley should be used by the cook to mix in with the 35 quarts of the vegetable broth.
lets say we know that there is a mix of 2 pounds of barley into 7 quarts of vegetable broth, so we can say that,
2:7 is the ratio used for the mix
similarly we can say,
let the pounds of barley into 35 quarts of vegetable broth used be x
x:35 because its given that there are 35 quarts used in the vegetable soup so we need to find the value of 'x'
then, 2/7=x/35, that is pounds/quarts
then, x= 2/7 × 5
then, x = 2×5
therefore we know that x = 10
so we can say that there are 10 pounds of barley used in the mix by the cook along with the 35 quarts of vegetable broth.
To learn more about direct proportion, click here:
brainly.com/question/7096655
#SPJ4
Area of composite shapes, There is a pair of parallel sides in the following shape.
What is the area of the shape?
The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².
What does mathematicians mean by area?Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.
The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.
So, 1/2 * ( 9+5) * 3
= 1/2 * 14 * 3
= 1/2 * 42
= 21 cm²
To know more about Area visit:
https://brainly.com/question/17335144
#SPJ1
PLEASE HELP I NEED THIS RN
x = 415.
Step-by-step explanation:1. Identify the information provided in the statement.Check attached image 1.
2. Find a value to solve the equation.So at this point, we know the measures of the angles, in terms of "x", which is a variable. We may use the implicit information in the drawing to find more information. Such as the total measure of the sum of angles DBE and CBE. This total measure equals 90°, we know this because there's a square drawn on the base of both angles. Whenever you see a square drawn at the base of an angle, it means the measure of that angle is 90°, a right angle.
Check attached image 2.
3. Write the equation.We know that the sum of angles DBE and CBE equal 90°. Hence:
[tex]DBE+CBE=90[/tex]
In terms of variable "x", this is:
[tex](0.1x-22)+(0.3x-54)=90[/tex]
4. Solve the parenthesis.[tex]0.1x-22+0.3x-54=90[/tex]
5. Operate with like terms.[tex]0.1x+0.3x-54-22=90\\ \\0.4x-76=90[/tex]
6. Add "76" on both sides of the equation.[tex]0.4x-76+76=90+76\\ \\0.4x=166[/tex]
7. Divide by "0.4" on both sides of the equation.[tex]\frac{0.4x}{0.4} =\frac{166}{0.4} \\ \\x=415[/tex]
8. Verify.To see if "x = 415" is the correct answer, take the original equation, substitute "x" by "415" and, if the same number appears on both sides of the equal (=) sign, then we've found our answer!
[tex](0.1x-22)+(0.3x-54)=90\\ \\(41.5-22)+(124.5-54)=90\\ \\(19.5)+(70.5)=90\\ \\90=90[/tex]
9. Conclude.x = 415.
please help me.
please here is the picture.
The functions are matched as follows -
y = √x ⇒ d. Square root
y = |x| ⇒ g. Absolute value
y = x² ⇒ h. Quadratic
y = 1/x² ⇒ f. Reciprocal Squared
y = 1/x ⇒ b. Reciprocal
y = x³ ⇒ a. Cubic
y = ∛x ⇒ e. Cube root
y = x ⇒ c. Linear
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The first function is given as -
y = √x
Since, this function contains a square root symbol, so it is a square root function.
The second function is given as -
y = |x|
Since, this function contains absolute value symbol, so it is a absolute value function.
The third function is given as -
y = x²
Since, this function contains power of 2 and x is squared, so it is a quadratic function.
The fourth function is given as -
y = 1/x²
Since, this function contains power of 2, x is squared and the value is reciprocal of x², so it is a reciprocal squared function.
The fifth function is given as -
y = 1/x
Since, this function contains reciprocal value of x, so it is a reciprocal function.
The sixth function is given as -
y = x³
Since, this function contains power of 3 and x is cubed, so it is a cubic function.
The seventh function is given as -
y = ∛x
Since, this function contains a cube root symbol, so it is a cube root function.
The second function is given as -
y = x
Since, this function contains y equal to x, so it is a linear function.
Therefore, all the different functions are identified.
To learn more about function from the given link
https://brainly.com/question/2284360
#SPJ1
A group of friends wants to go to the amusement park.
The inequality that determines the maximum number of people that can go to the park is given as follows:
5.75 + 29.75x ≤ 210.
How to obtain the inequality?The costs associated with going to the park are given as follows:
$5.75 parking fee.$29.75, which is the price of a ticket per person.Hence the total cost for x people going to the park is given by the following equation:
C(x) = 5.75 + 29.75x.
They can spend at most $210, hence the inequality that determines the maximum number of people that can go to the park is given as follows:
C(x) ≤ 210
5.75 + 29.75x ≤ 210.
More can be learned about inequalities at https://brainly.com/question/9774970
#SPJ1
Two angles of a triangle have the same measure and the third one is 9 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer: The LARGEST angle has a measure of
degrees.
The largest angle of the triangle is ∠C = 66°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Now , the measure of ∠A = measure of ∠B = x
And , the measure of ∠C = measure of ∠A + 9°
Substituting the values in the equation , we get
x + x + ( x + 9 ) = 180
On simplifying the equation , we get
3x + 9 = 180
Subtracting 9 on both sides of the equation , we get
3x = 171
Divide by 3 on both sides of the equation , we get
x = 57°
So , the measure of ∠A = 57°
Now , the measure of ∠C = 57 + 9 = 66°
Hence , the measure of ∠C of triangle is 66°
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ1
Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the car was set to 60 miles per hour by cruise control, and the mpg were recorded at random times. Here are the mpg values from the experiment:
37.2 21.0 17.4 24.9 27.0 36.9 38.8 35.3 32.3 23.9
19.0 26.1 25.8 41.4 34.4 32.5 25.3 26.5 28.2 22.1
Suppose that the standard deviation of the population of mpg readings of this vehicle is known to be σ=6.5mpg
a) What is σx¯, the standard deviation of x¯ (x Bar)?
b) Based on a 95% confidence level, what is the margin of error for the mean estimate?
c) Given the margin of error computed in part (b), give a 95% confidence interval for μμ, the mean highway mpg for this vehicle. The vehicle sticker information for the vehicle states a highway average of 27 mpg. Are the results of this experiment consistent with the vehicle sticker?
a) The standard deviation of 1.45 mpg.
b)The margin of error for the mean estimate 3.03 mpg
c) A 95% confidence interval for μμ is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg, the mean highway mpg for this vehicle is 27 mpg.
a) Using the formula for the standard error of the mean, σx¯ = σ/√n, where σ is the standard deviation of the population, n is the sample size, we can calculate σx¯ = 6.5/√20 ≈ 1.45 mpg.
b) Using a 95% confidence level, we can find the critical value for the t-distribution with 19 degrees of freedom (n-1), which is 2.093. The margin of error for the mean estimate is then t*σx¯ = 2.093 x 1.45 ≈ 3.03 mpg.
c) The 95% confidence interval for μ is given by x¯ ± margin of error, which is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg. Since the vehicle sticker information states a highway average of 27 mpg, the results of this experiment are not consistent with the vehicle sticker, as the 95% confidence interval does not contain the value of 27 mpg. This suggests that the vehicle may not be performing as well as expected, or that the sample of mpg readings was not representative of the overall population.
For more such Questions on standard deviation
https://brainly.com/question/475676
#SPJ4
What is the area of the parallelogram shown?
yd²
The area of the parallelogram that is shown above would be = 9 yd².
What is a parallelogram?A parallelogram is defined as the quadrilateral that has four sides whose sides are also parallel to each other.
The formula that can be used to calculate the area of the parallelogram = base × height ( diagonal)
The base = 4½ yd
height = 2 yd (diagonal)
Area = 4½× 2 = 9yd².
Learn more about parallelogram here:
https://brainly.com/question/30304198
#SPJ1
Find the value of b if the graph of y = 0.3x + b goes through the point.
N(5,d)
A figure has a perimeter of 12 units. Which describes the perimeter of the figure after a dilation with a scale factor of 4?
The perimeter of the figure after a dilation with a scale factor of 4 is
How to calculate the scale factor?Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
[tex]s \times x = y\\s = \dfrac{y}{x}\\[/tex]
Thus, scale factor is the ratio of the new measurement to the old measurement.
Given;
The perimeter= 12units
Scale factor=4
Now,
Dilation with the given scale factor;
= 12*1/4
=12/4
=3
Therefore, dilation by the given scale factor will be 3.
Learn more about scale factor here:
https://brainly.com/question/11178083
#SPJ9
Selina claims single having one exemption. Her state tax deduction is 21% of her federal tax contribution. Calculate the amount of state tax selina owes if her gross pay for two weeks is $840. The following federal tax table is for biweekly earnings of a single person. A. $16. 17 b. $16. 80 c. $32. 34 d. $33. 60 please select the best answer from the choices provided a b c d.
The amount of federal state tax Selina owes if her gross pay for two weeks is $840 is $14.11, which is closest to option A: $16.17. so the best answer is A as it is the closest.
To calculate Selina's federal tax contribution, we first need to determine her taxable income. From her gross pay of $840, we can subtract the biweekly standard deduction for a single person, which is $191.15 (based on the federal tax table provided). This gives us a taxable income of $648.85.
Using the federal tax table for biweekly earnings of a single person, we can see that the federal tax on this amount is $67.25.
Selina's state tax deduction is 21% of her federal tax contribution, which is 0.21 x $67.25 = $14.11.
Therefore, the amount of state tax Selina owes is $14.11, which is closest to option A: $16.17. However, none of the given options match the calculated amount exactly, so the best answer is A as it is the closest.
To know more about federal state tax:
https://brainly.com/question/25763883
#SPJ4
Simplify fully 8c^4d^5+2c^3d^3
The expression when simplified is 2c^3d^3(4cd^2 + 1)
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
8c^4d^5+2c^3d^3
Factor out 2 from the expression
So, we have the following representation
2(4c^4d^5 + c^3d^3)
Factor out c^3d^3 from the expression
So, we have the following representation
2c^3d^3(4cd^2 + 1)
Hence, the expression is 2c^3d^3(4cd^2 + 1)
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
4 is subtracted from the product of 5 and a number.
I need answer
The mathematical Expression is 5x- 4.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
We have the unknown variable x.
4 is subtracted from the product of 5 and a number.
Now, Translating the word problem (sentence) into an algebraic expression, we get
= 5x - 4
Learn more about expression here:
https://brainly.com/question/12470265
#SPJ9
Suppose that x and y vary inversely, and x = 10 when y = 8. Write the function that models the inverse variation.
If x and y vary inversely, we can write their relationship then the function that models the inverse variation is y = 80/x.
What is Function?
In mathematics, a function is a rule or mapping that associates each input value (also called the independent variable) with a unique output value (also called the dependent variable). Functions are often represented using an equation, formula, or a graph, and are used to model real-world phenomena and solve problems in various fields such as science, engineering, economics, and more.
They can take different forms and have different properties, such as being linear, quadratic, exponential, periodic, or more complex. Some common notation used to represent functions includes f(x), y = f(x), or simply y.
If x and y vary inversely, we can write their relationship as:
x * y = k
where k is a constant of proportionality. We can use the given initial values of x and y to solve for k:
10 * 8 = k
k = 80
Therefore, the function that models the inverse variation is:
x * y = 80
or
y = 80/x
Learn more about Function click here:
https://brainly.com/question/10439235
#SPJ1
Solve c =3/7(wm+a) for m
Answer:
Step-by-step explanation:
To solve the equation c = 3/7(wm + a) for m, we can isolate m on one side of the equation.
Here's the step-by-step process:
Distribute the 3/7:
c = 3/7 * wm + 3/7 * a
Subtract 3/7 * a from both sides:
c - 3/7 * a = 3/7 * wm
Divide both sides by 3/7 * w:
(c - 3/7 * a) / (3/7 * w) = m
And that's it! m is the value you're looking for. Just remember to use the values of c, w, and a that you have in your specific problem when you evaluate the expression.
[tex]m=\frac{7 c-a}{3w}.[/tex]
Step-by-step explanation:1. Write the expression.[tex]c=\frac{3}{7} (wm+a)[/tex]
2. Divide by [tex]\frac{3}{7}[/tex] on both sides of the equation.Remember that dividing by a fraction is the same as multiplying by its multiplicative reciprocate. Hence, we may multiply by [tex]\frac{7}{3}[/tex] on both sides and it'd have the same efect as dividing by [tex]\frac{3}{7}[/tex].
[tex]\frac{7}{3} c=\frac{3}{7} (wm+a)*\frac{7}{3}[/tex]
The two fractions on the right side cancel each other out and we're left with:
[tex]\frac{7}{3} c=(wm+a)[/tex]
3. Remove the parenthesis.[tex]\frac{7}{3} c=wm+a[/tex]
4. Subtract "a" on both sides of the equation.[tex]\frac{7}{3} c-a=wm+a-a\\ \\\frac{7}{3} c-a=wm[/tex]
5. Divide by "w" on both sides of the equation.[tex]\frac{\frac{7}{3} c-a}{w} =\frac{wm}{w} \\ \\\frac{7 c-a}{3w} =m[/tex]
6. Conclude.[tex]m=\frac{7 c-a}{3w}.[/tex]
-------------------------------------------------------------------------------------------------------
(Extra step) 7. Verification.If you want to verify whether the answer is correct or not, you may take the original equation and plug the calculated value of "m" in the place of said variable. Then, if the equation returns the same value after simplifying completely, the solution is correct!
This step is show on the attached image.
-------------------------------------------------------------------------------------------------------
Learn more about solving equations here:
brainly.com/question/30652933
brainly.com/question/30596312
brainly.com/question/28282032
brainly.com/question/28306861
brainly.com/question/28285756
brainly.com/question/28306307
brainly.com/question/30015231
brainly.com/question/29888440
Find the compound interest and future value. Round your answers to the nearest cent.
Principal Rate Compounded Time
4.29% Weekly 34 years
$116,000
The compound interest is $348,966.97 and the future value is $464,966.97.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for compound interest to calculate the future value of the investment:
[tex]FV=P(a1+r/n)^{nt}[/tex]
where:
P = the principal amount (the initial investment)$116,000
r = the annual interest rate (as a decimal)=0.0429
n = the number of times the interest is compounded per year=52
t = the number of years=34
Plugging in these values, we get:
FV = $116,000(1 + 0.0429/52)¹⁷⁶⁸
FV = $464,966.97
So the future value of the investment after 34 years is $464,966.97.
Compound interest = $464,966.97 - $116,000 = $348,966.97
Therefore, the compound interest is $348,966.97 and the future value is $464,966.97.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ9
Solve the system using the substitution method. For the system that does not have one unique solution, also state the number of solutions and
whether the system is inconsistent or the equations are dependent. Express numbers as integers or simplified fractions.
y=2x+7
4x+3y=-19
Answer:
(-4, -1)
Step-by-step explanation:
The system has one solution
Jonathan is a single taxpayer. His taxable income before deductions was $63,110. He was able to reduce his taxable income by $10,312 when he filled out Schedule A and Schedule 1.
a. How much did he save in tax by using Schedule A?
In a linear equation. , $12,215 did he save in tax by using Schedule A .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Given,
Taxable income with out deductions = $63,110
total deductions = $10,312
the tax is given in the row 63.100 63,150 and in the column 'single' of the tax table is
tax = $12,215
Learn more about a linear equation
brainly.com/question/29739212
#SPJ1
Jennifer plans to drive from Spokane, Washington to Missoula, Montana, to visit her aunt. On the map Jennifer is using, each inch represents 20 miles. If the distance on the map from Spokane to Missoula is 5% inches, how far is it in actual miles?
Actual distance from Spokane to Missoula = 100 miles
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Given,
On map one inch represents 20 miles
Distance between Spokane to Missoula on map = 5 inches
Actual distance = 5 × 20 = 100 miles
Hence, 100 miles is the actual distance from Spokane to Missoula.
Learn more about multiplication here:
https://brainly.com/question/24327271
#SPJ9
In figure measurement angle one equals 6X +7°, measurement angle two equals 5X +13°, and measurement angle for equals 12 X +9° different incorrectly says that measurement angle four equals 73°. What is the measurement for? What mistake my era friend have made
The value of x is 11.78.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
In a figure, the four angles sum must equal 360.
Now,
The four angles are:
6x + 7, 5x + 13, 12x + 9, and 73
Solve for x.
6x + 7 + 5x + 13 + 12x + 9 + 73 = 360
23x + 89 = 360
23x = 360 - 89
23x = 271
x = 11.78
Thus,
x is 11.78.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Complete question:
In the figure measurement angle 1 is 6x + 7°, measurement angle 2 equals 5x + 13°, and measurement angle 3 equals 12x + 9° and measurement angle 4 equals 73°.
What is the value of x?
Solve for x !
[tex] \it \large {3x + 5 = 5( x + 3)}[/tex]
Thank You!:)
Answer:
[tex]\mathrm{x=-5}[/tex]Step-by-step explanation:
[tex]\mathrm{3x+5=5(x+3)}[/tex]
Expand:-
[tex]\mathrm{3x+5=5x+15}[/tex]
Subtract 5x from both sides:-
[tex]\mathrm{-2x+5=15}[/tex]
Subtract 5 from both sides:-
[tex]\mathrm{-2x=15-5}[/tex]
[tex]\mathrm{-2x=10}[/tex]
Divide both sides by -2:-
[tex]\mathrm{\cfrac{-2x}{-2}=\cfrac{10}{-2}}[/tex]
[tex]\mathrm{x=-5}[/tex]
___________________
Hope this helps!
find the x value of the point of intersection
The value of x at the point of intersection is given as follows:
x = -1.
How to obtain the value of x?
We must test for both definitions of the second function, and find which solution is in the correct range.
For the first definition, the solution is given as follows:
2x + 1 = x
2x - x = -1
x = -1.
-1 is less than 1, hence x = -1 is one solution to the system of equations.
For the second definition, the solution is given as follows:
2x + 1 = -x + 2
3x = 1.
x = 1/3.
Which is less than one, while the function is defined for values greater than 1, hence it is an extraneous solution.
More can be learned about a system of equations at https://brainly.com/question/9774970
#SPJ1
1. A circle has a radius of 8 feet and a
circumference of 50.27 feet. How many
times will the radius fit around the
circumference?
Answer:
6.28375
Step-by-step explanation:
times the radius will fit = x
8 * x = 50.27
x= 50.27÷8
x=6.28375
What are the coordinates of D'when the quadrilateral is reflected across the line Y - X?
The coordinates of D' will be at (x, - y) when reflected along the line Y-X.
What are transformations?Mathematical transformations can be used to move two-dimensional figures along a plane or coordinate system.
Dilation, To construct the image, the preimage is scaled up or down.
The image is a preimage that has been turned around or a reflection.
Rotation, To produce the final image, the preimage is rotated about a specified point.
Translation, The picture is relocated a set distance from the preimage while also being translated.
Given, A quadrilateral ABCD and one is the vertex D(x, y).
Now, The reflection of the quadrilateral ABCD is reflected across the Y-X.
We know a reflection along Y-X changes (x, y) to (x, -y).
Therefore, The vertex D' will have coordinates (x, - y).
Q. What are the coordinates of D'when the quadrilateral ABCDis reflected across the line Y - X, Given, preimage D(x, y).
learn more about transformations here :
https://brainly.com/question/15200241
#SPJ9
NEED HELP ASAP PLEASE! The table below represents a linear function. What is the slope of the graph of this function?
Input x -2 -1 0 1 2
Output y -3 -1 1 3 5
A: 2
B: -1/2
C: 1/2
D: -2
Answer:
Step-by-step explanation: it it D
(y2-y1)/(x2-x1)
ex:-1-(-3)/-1-(-2)=2
After an 8% price increase the new price was $450. What was the original price?
Answer:
$416.67
Step-by-step explanation:
8% = 0.08
adding 8% to something means you add 0.08 of it
original = 100% = 1
original + 8% increase = 1 + 0.08 = 1.08
1.08 of original price = new price = 450
1.08 * original price = 450
450/1.08 = original price = $416.67
If the California Current moves at 0.25 cm/s, how fast is that in knots?
Answer:
0.4850 knots.
Step-by-step explanation:
To convert the speed of the California Current from centimeters per second to knots, we can use the conversion factor of 1 knot = 0.514444444 cm/s.
So, 0.25 cm/s * 1 knot / 0.514444444 cm/s = 0.4850 knots.
Therefore, the California Current moves at a speed of approximately 0.4850 knots.
If 10,000 catfish can be accommodated by a pond with an area of 30 square meters, how large a pond is needed if the number of catfish is 20,000?
Answer:
60
Step-by-step explanation:
10,000 * 2 = 20,000, so multiply 30 by 2:
30 * 2 = 60
Answer:
A 60 square meter pond is needed to accommodate 20,000 catfish.
Step-by-step explanation:
We know that 30 square meters is needed per 10,000 catfish.
How large a pond is needed for 20,000 catfish?
We can create an equation like this
[tex]\frac{30}{10000} =\frac{x}{20000}[/tex]
let [tex]x[/tex] represent the number of square meters needed for 20,000 catfish
Lets solve for [tex]x[/tex].
Cross multiply.
[tex]30*20000=x*10000[/tex]
Evaluate [tex]30*20000[/tex]
[tex]600000=10000x[/tex]
Divide both sides by [tex]10000[/tex].
[tex]60=x[/tex]
