Observing the information provided and using concept of central tendency parameters of statistics, The central tendency which we can immediately determine is median.
What is statistics?A field of mathematics that deals with gathering, analyzing, interpreting, and presenting vast amounts of numerical data.
What do you mean by measure of central tendency?The statistical test that determines whether a single result accurately represents a whole distribution is known as measure of central tendency.
total students = 40.
half = 20 students.
20 have scores below 77% and 20 have above 77%.
Thus, We can immediately determine that the median of score is 77%.
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One angle measures 170°, and another angle measures (6k 44)°. if the angles are vertical angles, determine the value of k. k = 12 k = 20 k = 21 k = 126
Answer: the answer is 21
Step-by-step explanation:
If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.
Vertical angles are congruent meaning they have an equal measure.
Now we have to find k
(6k + 44) = 170
subtract 44 - 44 and 170 - 44
(6k) = 126
divide 6 by 6, that leaves with just k on the left.
126 divided by 6 equals to 21
k = 21
Hope this helps!
Interpret parts of the algebraic expression to describe the real-world scenario.
The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released.
By how much is the value of the comic increasing per year?
How much was the initial value of the comic?
The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released. is
(a) [tex]0.2$[/tex]
(b) [tex]1.5$[/tex]
[tex]0.2 y+1.5 \longleftarrow \text { initial value }[/tex]
[tex]when $y$ increase one. the value increase $\$ 0.2$[/tex]
Travelling to movies and television programmes. An element of a comic book being in a popular film or television programme is a major factor in its value rising. Characters' comic book appearances have become far more valuable as they are integrated into the Marvel Cinematic Universe.
Marvel's first comic book just sold for $1.26m. Movies have contributed to the enduring popularity of superheroes, bringing in new audiences. The printed comic is still big business, worth over $1bn in North America alone.
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If M is a centroid of triangle WOR and YR = 11, what is the length of WR?
Answer:
22
Step-by-step explanation:
Y is midpoint of WR.
Hence,
YR = 1÷2 of WR ( Half of WR )
So,
WR = 2YR
= 2×11
= 22
Carson earns $113.75 for 7 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
The constant amount that Carson makes every hour is $16.25.
How to illustrate the relationship?It is important to note that this question has to do with a proportional relationship. Since Carson earns $113.75 for 7 hours of work and he makes a constant hourly wage.
The amount that he makes per hour will be:
= Amount / Number of hours
= $113.75 / 7
= $16.25
Therefore the constant amount he makes every hour is $16.25.
Note that the options weren't given but the question has been solved accordingly.
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PLEASE HELP!!!!
Write the quadratic equation whose graph has x-intercepts of -11 and 3 and passes through the point (1, 192)
A: y=8x^2+64x−264
B: y=8x^2−64x−264
C: y=−8x^2+64x+264
D: y=−8x^2−64x+264
The quadratic equation with the given x-intercepts and that passes through the point (1, 192) is the one in option D.
y = -8x^2 -64x + 264
What is the quadratic equation?If a quadratic equation has x-intercepts x₁ and x₂ and a leading coefficient a, we can write the quadratic equation as:
y = a*(x - x₁)*(x - x₂)
Here we know that the x-intercepts are -11 and 3, replacing that in the equation above we will get:
y = a*(x + 11)*(x - 3)
We also know that the line passes through the point (1, 192), replacing the values in the quadratic equation we will get:
192 = a*(1 + 11)*(1 - 3)
192 = a*12*-2
192 = -24*a
192/-24 = a
-8 = a
So the quadratic equation is:
y = -8*(x + 11)*(x - 3)
Expanding this, we will get:
y = -8x^2 -64x + 264
So the correct option is D.
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please show steps and how you got answer
The value of x and y at which function P = 3x+2y becomes maximum are
(9,0), data from given graph.
What is the graph?
Graph is the pictorial representation of given data.
Graph is defined as to create a diagram that shows a relationship between two or more things. An example of graph is to create a series of bars on graphing paper.
The four most common are
1. Probably line graphs,
2. Bar graphs and histograms,
3. Pie charts, and
4. Cartesian graphs
To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.
Note: (5,4) is not a vertex.
(0,8) :
P = 3*0 + 2*8
= 16
(5,4):
P = 3*5 + 2*4
= 23
(9,0):
P = 3*9 + 2*0
= 27.
So, the maximum value = 27 at (9,0).
So, the x value = 9 and
the y value = 0.
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. Solve for x: log₂ (x+4) + log₂ (x + 3) = 1. Pleasee
The value of x for the expression is equal to -5 and -2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the logarithmic expression is log₂ (x+4) + log₂ (x + 3) = 1. The value of x will be calculated as,
log₂ (x+4) + log₂ (x + 3) = 1
log₂ { (x+4)(x + 3) } = 1
x² + 7x + 12 = 2
x²+ 7x + 10 = 0
Solve the above quadratic equation,
x²+ 7x + 10 = 0
x² + 5x + 2x + 10 =0
x ( x + 5 ) + 2 ( x + 5 ) = 0
(x + 5 ) ( x + 2 ) = 0
x = -5 and -2
The values of x are -5 and -2.
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Which of the following can be represented by the equation 3x = 24?(1 point)
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
Answer:
The last answer is correct
Step-by-step explanation:
3x = 24 Divide both sides by 3
x = 8
A pair of shoes cost $8
Find the perimeter of the triangle XYZ with verticles X (1, 3) , Y(-4, -1) and Z(4, -1). Round your answer to two decimal places
Answer:
The perimeter is approximately 6.40.
Step-by-step explanation:
To find the perimeter of a triangle with vertices X (1, 3), Y (-4, -1), and Z (4, -1), we can first find the distance between each pair of points using the distance formula.The distance between points X and Y is:
$d(X,Y) = \sqrt{((1 - (-4))^2 + (3 - (-1))^2)} = \sqrt{25 + 16} = \sqrt{41}$
The distance between points Y and Z is:$d(Y,Z) =
\sqrt{((-4 - 4)^2 + ((-1) - (-1))^2)} = \sqrt{0 + 0} = 0$
The distance between points X and Z is:
$d(X,Z) = \sqrt{((1 - 4)^2 + (3 - (-1))^2)} = \sqrt{9 + 16} = \sqrt{25}$
We can then find the perimeter of the triangle by adding up the lengths of the sides. In this case, the perimeter is $d(X,Y) + d(Y,Z) + d(X,Z) = \sqrt{41} + 0 + \sqrt{25} = \sqrt{41} + \sqrt{25} = 6.40\ldots$.
Rounded to two decimal places, the perimeter is approximately 6.40.
STANDARD FORM MATHS HELP. POINTS
Answer:
1.64×10⁷ km16,400,000 km ("standard form" in the US)Step-by-step explanation:
You want the length of the hypotenuse of a right triangle with sides given as 3.6×10⁶ km and 1.6×10⁷ km.
Pythagorean theoremThe Pythagorean theorem tells you the relationship between the side lengths and the hypotenuse of a right triangle:
c² = a² +b²
RQ² = PQ² +PR²
RQ = √((3.6×10⁶)² +(1.6×10⁷)²) = 1.64×10⁷ . . . . . use numbers, take the root
The distance between planets Q and R is 1.64×10⁷ km.
__
Additional comment
The "standard form" of a number is different by location. In the US, it is written with the decimal point to the right of the units digit. In other places, "standard form" has the decimal point to the right of the most-significant digit, and a power of ten as a multiplier.
You may recognize the ratio of the given numbers is 9:40, telling you these lengths are a multiple of the {9, 40, 41} Pythagorean triple. That is, the distance RQ is 41/40 times the distance RP.
Any spreadsheet or scientific or graphing calculator can do the necessary arithmetic using the numbers in "scientific notation" format. Spreadsheets, in particular, use E() to signify ×10^(). That is, 3.6×10⁶ is entered into a spreadsheet as 3.6E6. The attached calculator display shows it can use the same sort of format.
Just use Pythagoras theorem to find the shortest distance between the two planets, (as it is along its hypotenuse)
The distance QR is :
[tex] \qquad \sf \rightarrow d = \sqrt{(1.6 \times 10 {}^{7}) {}^{2} + (3.6 \times 10 {}^{6} ) {}^{2} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{2.56 \times 10 {}^{14} + 12.96 \times 10 {}^{12} {}^{} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{256\times 10 {}^{12} + 12.96 \times 10 {}^{12} {}^{} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{(256 + 12.96 )\times 10 {}^{12} {}^{} } [/tex]
[tex] \qquad \sf \rightarrow d = \sqrt{(268.96 )\times 10 {}^{12} {}^{} } [/tex]
[tex]\qquad \sf \rightarrow d = 16.4\times 10 {}^{6} {}^{} [/tex]
(50 points) Mariel and Sam Trent's savings account had a balance of $9,544 on May 1. The account earns interest at a rate of 5.25% compounded monthly until the end of August.
Answer:
$9,712.12 (nearest cent)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $9,544r = 5.25% = 0.0525n = 12 (monthly)t = 4 months = 1/3 yearSubstitute the given values into the formula and solve for A:
[tex]\implies A=9544\left(1+\frac{0.0525}{12}\right)^{12 \cdot \frac{1}{3}}[/tex]
[tex]\implies A=9544\left(1.004375\right)^{4}[/tex]
[tex]\implies A=9544\left(1.017615179\right)[/tex]
[tex]\implies A=9712.119269[/tex]
The balance of the account at the end of August will be $9,712.12 (nearest cent).
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter. How much money did Trevor's family spend, in total, on shower water in the past month?
The money Trevor's family spend, in total, on shower water in the past month is $14.4
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms.
In the past month, each person showered for an average of 480 minutes
an average 72 liters of shower water (over the entire month)
The cost of water per litre is 0.20 dollars.
We need to find the money Trevor's family spend, in total, on shower water in the past month
Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter
= 72 / 480 × 0.20
= 0.15 × 0.20
= $0.03.
Now 0.03×480=14.4.
Hence, 14.4 is the money Trevor's family spend, in total, on shower water in the past month.
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In 2008, Yolanda paid $3,875 in Social Security tax. If the Social Security tax rate was 6.2% to the maximum income of $94,200 that year, what was Yolanda's taxable income
The Yolanda's taxable income is $62,500.
What is income tax?
An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate.
Given:
In 2008, Yolanda paid $3,875 in Social Security tax.
The Social Security tax rate was 6.2% to the maximum income of $94,200 that year.
Lets assume Yolanda´s income be `x`.
Now, calculating the taxable income of Yolanda
6.2% x (x) = 3875
[tex]\frac{6.2}{100} (x) = 3875\\x = 3875(\frac{100}{6.2}) \\x = 62500[/tex]
Hence, the Yolanda's taxable income is $62,500.
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help me plsssss
i put the image below
if u can see it
help asap
Answer:
q= 1.09
Step-by-step explanation:
the works there its a little messy tho
what is the probability that you will draw 4 kings when you draw 4 cards from a standard 52-card deck?
The probability that we will draw 4 kings from the 52-card deck be 1/270725.
Given, we draw 4 cards from a standard 52-card deck
we have to find the probability that we draw 4 kings
As, we know that the deck of cards contain 4 kings of two red and two black.
we have to choose 4 kings from 4 kings in the deck
Number of ways to choose 4 kings from the deck of cards = C(4 , 4)
Now, total number of ways in which 4 cards can be chosen be,
C(52 , 4)
So, the probability of drawing 4 kings from the deck of cards be,
P(E) = C(4 , 4)/C(52 , 4)
P(E) = 4×3×2 / 52×51×50×49
P(E) = 1 / 13×17×25×49
P(E) = 1/270725
Hence, the required probability be 1/270725
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PLEASE HELP!
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
The graphed two lines will have one solution.
Solutions of Pair of straight lines:Any line that isn't twisted or bent is said to be straight.
Intersecting Lines:Intersecting lines are two or more lines that have exactly one point in common. The point of junction is this central location that connects all of these lines.
A system of Intersecting Lines will have one unique solution
Parallel lines :Lines that are parallel to one another on a plane do not overlap or meet at any point. They are always parallel and equally spaced from one another.
A system of Parallel Lines will have no solution
Here we have
System of equations
Given that the two lines are not parallel line
As we can see that both lines meet at a point
So here we can conclude that both lines are Intersecting Lines
Therefore,
The graphed two lines will have one solution.
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Solve for x. 2.5x + 1.5
drag and drop the quantity on the right column with a number from the left column
Answer: 27, 65, 29, 77, 37
Step-by-step explanation:
The number of diagonals of an [tex]n[/tex]-gon is [tex]\frac{n(n-3)}{2}[/tex].
The number of apothems of an [tex]n[/tex]-gon is [tex]n[/tex].
Answer:
Step-by-step explanation:
Answer it and explain how you got the answer
a. Using the graph, the estimated solution is: (-2, -0.6).
b. Solving algebraically, the exact solution is: (-2, -4/6).
How to Find the Solution of a System of Equations?The solution 0f a system of equations is that point of intersection where the lines of the two equations meet when they are plotted on a graph.
a. Given the graph of the equations, 2x - 3y = -2 and x + 1.5y = -3, the estimated solution, which is the point of the intersection of both lines can be, (-2, -0.5)
b. To get the exact solution, we would solve algebraically as shown below:
2x - 3y = -2 --> eqn. 1
x + 1.5y = -3 --> eqn. 2
Rewrite eqn. 2:
x = -3 - 1.5y --> eqn. 3
Substitute the value of x into eqn. 1:
2(-3 - 1.5y) - 3y = -2
-6 - 3y - 3y = -2
-6 - 6y = -2
-6y = -2 + 6
-6y = 4
y = 4/-6
y = -4/6
Substitute the value of y into eqn. 3:
x = -3 - 1.5(-4/6)
x = -3 + 1
x = -2.
The exact solution is (-2, -4/6).
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You have won a new PS 5 system in a rafflel With a bit of research, you have determined that the cost of a new PS 5 system is $712 with tax. If you know that the value of gaming consoles decreases each year by 12%, based on the previous year's value, what will your PS 5 system be worth after 6 years?
The salvage value of the PS 5 system after 6 years will be $640.
Explain the term depreciation?Depreciation is the estimated decrease in value of fixed assets over the course of a fiscal year. The amount of an asset's value has indeed been used is shown through depreciation. It enables businesses to purchase assets over a predetermined length of time and generate income from those assets.The formula for the depreciation;
Depreciation per year = (cost of asset - salvage value)/ (useful life of assets)
For the stated question-
Cost of new PS 5 system = $712.salvage value to be find.Depreciation per year = 12%useful life of assets = 6 years.12 = (712 - salvage value)/ (6)
salvage value = 712 - 12x6
salvage value = $640.
Thus, the salvage value of the PS 5 system after 6 years will be $640.
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Multiple choice. Answer
The function g(x) = (x - 5)² has a translation of 5 units to the right.
What are some rules for the transformation of functions?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over x-axis, (-x, y).
-f(x) = Reflection over y-axis, (x, -y).
The parent function is a quadratic f(x) = x².
Now, The transformed function g(x) = (x - 5)² is a horizontal transformation of 5 units to the right.
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what does a z-score tell us about an individual observation in a data set? it is the number of standard deviations an observation is away from the mean. the midpoint of the sorted sample data set the sum of all data values divided by the number of data items. the average. the most frequently occurring data value in the set. none of the above
A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.
A z-score is the value of an observation expressed in standard deviation units. The sign of the score indicates whether it is above (positive) or below (negative) the mean, and the value quantifies how many standard deviations the score is from the mean.
The purpose of z-scores is to identify and describe the exact location of each score in a distribution & to standardize an entire distribution to understand & compare scores from different tests.
Z-scores or Z-statistics represent a statistical technique of measuring the deviation of data from the mean. There are different formula used for Z-score or Z-statistics depending upon what is measured. Z-statistics is generally used with Z-test which is a hypothesis testing statistical technique.
Therefore,
A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.
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I have this question can anyone solve
Answer:
-16Step-by-step explanation:
• 12a - 2b - 4b - 15a + 2 (a = 0, b = 3)
→ apply the values
• 12x0 - 2x3 - 4x3 - 15x0 + 2
• 0 - 6 -12 - 0 + 2
→ use BODMAS formulae
• 0 - 6 - 12 - 2
= 0 - 6 - 10
→ zero wouldn't be counted so
- 6 - 10
(-) + (-) = (+) so:
= -16
Which is the midpoint of segment AB with A(-1,5) and B(6,-3)
Answer:
(2½,1)
Step-by-step explanation:
(-1+6/2,5+-3/2)
(5/2,2/2)
(2½,1)
Graph the inequality on the axes below
x+ 5y <-30
The points where the inequality x+ 5y <-30 intercepts is ( 30, 0 ) and (0,6).
What is an inequality?Inequality is defined as a relationship between two expressions or values that are not equal to each other.In mathematics, there are five inequality symbols: greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).Here given the inequality.
x + 5y ≤ 30
To find the x-intercepts.
We have to substitute 0 for y and solve x to determine the x-intercepts.
x + 5 × 0 = 30
By solving the equation.
x = 30
( 30, 0 ) is the x-intercepts.
To find the y-intercepts.
By substituting 0 for x and solving y will get the y-intercept(s).
0 + 5y = 30
5y =30
y = 30/5
y = 6
In the point form, y-intercept.
Y-intercept(s): ( 0, 6 )
(30, 0) is the x-intercept.
Y-intercepts at : ( 0, 6 ).
The points in which the inequality x+ 5y <-30 intercepts is (30, 0) and (0,6).
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Which of the following shows that polynomials are closed under addition when two polynomials 4x2 - 8x - 7 and -5x + 16 are added?
The statement which shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added include the following: C. 4x² - 13x + 9 will be a polynomial
What is a polynomial function?In Mathematics, a polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:
Multiplication (product)AdditionSubtractionNext, we would add the two (2) given polynomials as follows;
(4x² - 8x - 7) + (-5x + 16)
4x² - 8x - 7 - 5x + 16
Rearranging the given polynomials by combining like terms, we have;
4x² - 8x - 5x + 16 - 7
4x² - 13x + 9
Therefore, the given polynomials are closed under addition.
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Complete Question:
Which of the following shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added?
a. 4x^2 - 13x + 9 may or may not be a polynomial
b. 4x^2 + 13x -23 may or may not be a polynomial
c. 4x^2 -13x + 9 will be a polynomial
d. 4x^2 + 13x - 23 will be a polynomial
Write the equation for a line that passes through the given points Write the equation in slope- intercept form
. (6,-4), (6,5)
The equation of the line, in slope-intercept form, that passes through the given points, (6,-4) and (6,5) is: x = 6.
How to Write the Equation of a Vertical Line?An vertical line can be written in slope-intercept form as x = a, because the line has no y-intercept and the change in x values in the slope formula is equal to zero.
The value of a in the equation is the point on the x-axis where the vertical line intercept, irrespective of the change in y-values up the line.
Given the line goes through the points, (6, -4) and (6, 5), it means the line is a horizontal line because they both have the same x-value, 6.
Therefore, the value of a is 6. The equation of the line would be x = 6.
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Indigo goes out to lunch. The bill, before tax and tip, was $10.85. A sales tax of 3%
was added on. Indigo tipped 18% on the amount after the sales tax was added. The
total cost of the meal plus tip and tax was more than the cost of the bill by what
percent? Round to the nearest whole number.
The total cost of the meal plus tip and tax was more than 122% of the cost of the bill.
What is percent?
A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.
Indigo goes out to lunch.
The bill, before tax and tip, was $10.85.
A sales tax of 3% was added on.
Indigo tipped 18% on the amount after the sales tax was added.
The amount after adding sales tax is,
$10.85 x 3% = 0.3255
⇒ $10.85 + 0.3255 = $11.1755
Now to find the amount after tipped 18% on the amount after the sales tax was added.
$11.1755 x 18% = 2.01159
⇒ $11.1755 + 2.01159 = $13.18709
Hence, the amount after tipped 18% on the amount after the sales tax was added is $13.18709.
Let x be the percent of more than the cost of the bill of $13.18709.
⇒
[tex]\frac{10.85(x)}{100} = 13.18709\\ x = \frac{100 (13.18709)}{10.85}\\ x = 121.54[/tex]
Hence, the total cost of the meal plus tip and tax was more than 122% of the cost of the bill.
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A line has a slope of 2 and includes the points (
–
7,
–
10) and (0,j). What is the value of j?
Answer:
j = 4
Step-by-step explanation:
calculate the slope of the line passing through the goven points and equate to 2
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, - 10 ) and (x₂, y₂ ) = (0, j )
m = [tex]\frac{j-(-10)}{0-(-7)}[/tex] = [tex]\frac{j+10}{0+7}[/tex] = [tex]\frac{j+10}{7}[/tex] then equating gives
[tex]\frac{j+10}{7}[/tex] = 2 ( multiply both sides by 7 to clear the fraction )
j + 10 = 14 ( subtract 10 from both sides )
j = 4
There are 24 men and 25 women running a race. What is the ratio of the number of female runners to the total number of runners?
Answer:
5/9 In fraction form. In decimal form 0.51 and in percentage form %51
Step-by-step explanation:
To find the ratio of the number of female runners to the total number of runners, we can divide the number of female runners by the total number of runners and express the result as a fraction. There are 25 female runners, and there are a total of 24 men + 25 women = 49 runners. Therefore, the ratio of the number of female runners to the total number of runners is 25/49. This fraction can be reduced to 5/9.
