There will be 40% chance that the team will win.
Odds, are given as (chances for success) : (chances against success) or vice versa.
If odds are stated as an A to B chance of winning then the probability of winning is given as P(winning) = A / (A + B) while the probability of losing is given as P(Losing) = B / (A + B).
For 2 to 3 odds for winning:
P(winning) = 2/2+3
= 2/5
= 0.4
⇒ The percent chance of winning is 40.
Therefore, 40% is the required answer.
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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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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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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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Solve for x. 2.5x + 1.5
A groundskeeper needs grass seed
to cover a circular field, 290 feet in diameter.
A store sells 50-pound bags of grass seed. One pound of grass seed covers about 400 square feet
of field.
What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Explain or show your reasoning.
The smallest number of bags to cover the circular field is 3.0 pounds.
Area of a circle.
A circle is a shape that has a curved sides referred to as a circumference. Its area can be determined by;
Area of a circle = [tex]\pi r^{2}[/tex]
where r is the radius of the circle
So that,
the radius of the circular field = 290/ 2
= 145 feet
The area of the circular field = [tex]\pi r^{2}[/tex]
= 22/7 x (145)(145)
The area of the circular field = 66078.57 square feet.
Given a bag has a capacity of 50 pounds, and that one pound of grass seed covers about 400 square feet.
Then,
total pounds in a bag = 50 x 400
= 20000 pounds
the number of bags of grass seed needed = 66078.57 / 20000
= 3.304
The number of bags of grass seed needed = 3.30
Thus, the smallest number of bags the groundskeeper must buy to cover the circular field is 3.0 bags.
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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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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
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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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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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
Find the circumference of a circle with an area of 676πsquare millimeters. Leave your answer in terms of pi,
Answer:
Below
Step-by-step explanation:
Area = pi r^2
r = sqrt ( area/pi) = sqrt( 676 ) = 26
Circumference = pi d = 2 pi r = 2 pi (26) = 163.4 mm
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.
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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Which statement can you conclude is true from
the given information?
Given: AB is the perpendicular bisector of IK.
( please help me , answers my questions )
As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.
What is perpendicular bisector?A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.
What is the perpendicular of two points?A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.
Option J can not be true as A can not be the midpoint of IK as A is not on IK. Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.
Option H i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.
Option G i.e m∠IAJ also does not true necessarily true. The reason is simple i.e AJ is arbitrary.
So, Option f i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ is true.
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As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.
What is perpendicular bisector?
A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.
What is the perpendicular of two points?
A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.
Option J can not be true as A can not be the midpoint of IK as A is not on IK. Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.
Option H) i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.
Option G) i.e m∠IAJ also does not true necessarily true. The reason is simple i.e AJ is arbitrary.
So, Option f) i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ is true.
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To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be represented by an equation of the form
y
=
m
x
+
b
, where x = the time in months and y = the total cost in dollars. What is the value of m in the equation?
The value of m in the equation is 30.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
It is a relationship between two expressions that is expressed as an equality on either side of the equal to sign. An equation would be 3 = 18, for instance.
In this case, the person must pay a $75 one-time fee plus a charge of $30 per month.
This will be illustrated in the equation as:
y = 75 + 30x
where
x = the time in months and
y = the total cost in dollars.
The value of m is 30.
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drag and drop the quantity on the right column with a number from the left column
Answer: 27, 65, 29, 77, 37
Step-by-step explanation:
The number of diagonals of an [tex]n[/tex]-gon is [tex]\frac{n(n-3)}{2}[/tex].
The number of apothems of an [tex]n[/tex]-gon is [tex]n[/tex].
Answer:
Step-by-step explanation:
Interpret parts of the algebraic expression to describe the real-world scenario.
The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released.
By how much is the value of the comic increasing per year?
How much was the initial value of the comic?
The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released. is
(a) [tex]0.2$[/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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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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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.
Please help quickly 15 points and brainlyest if you get the questions right!
Answer:
1: B
2: A
3: D
4: A
5: A, B
Step-by-step explanation:
1: 6/5 is 1.2 2/10 is 1/5
2: 6/14= 3/7 or 6/14
3: 3/12 is 1/4 or 3/12
4: 28/13 is 2 2/13
5: 35/6 which is also 2 3/16
#/# means divide so 35/6 is 35 divided by 6
An ice cream shoppe makes $15 for every 4 milkshakes they sell. If they made $71.25 in one hour on milkshakes, how many did they sell ? 15/4 = 71.25/ X
Answer:
57.5 milkshakes
Step-by-step explanation:
To find the number of milkshakes the ice cream shoppe sold in one hour, you can use the given information to set up the following equation: 15/4 = 71.25/X. Solving for X, we get X = 71.25 * 4/15 = 57.5. Therefore, the ice cream shoppe sold 57.5 milkshakes in one hour.
19
Step-by-step explanation:
15/4= 3.75
71.25 / 3.75=19
Katrin estimated that she sold 40 sandwiches at her food truck during lunch. Later, a count showed that she actually sold 44. Find Katrin's percent error to the nearest tenth.
Answer:
10%
Step-by-step explanation:
percent error: p
44 - 40 = 4
4/40 × 100 = p
p = 0.1 × 100
p = 10%
Percent error is 10%
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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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!
a risk matrix/heat map plots threats on a two-dimensional grid to assess qualitative risk. it has what two factors as its x and y axes?
The answer is that a risk matrix/heat map has two factors namely, likelihood and Potential Impact on its x-axis and y-axis respectively.
What is a Risk map ?
A risk heat map is a tool used to present the results of a risk assessment process visually and in a meaningful way. Risk assessment is a critical step in risk management. It involves evaluating the likelihood and potential impact of identified risks.
Risk maps are a way of representing the resulting qualitative and quantitative evaluations of the probability of risk occurrence and the impact on the organisation in the event that a particular risk is experienced.
Organisations generally map risks on a heat map using a ‘residual risk’ basis that considers the extent to which risks are reduced by risk response strategies.
So, a risk matrix/heat map plots threats on a two-dimensional grid to assess qualitative risk. it has two factors as its x and y axes , Likelihood and Potential Impact respectively.
Please find the attached image.
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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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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
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
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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