The table that correctly identifies the sample of spinning the spinner and then selecting a card is Option A.
What is a sample?A sample is a random element that belongs to a population. Another way to state it is that, it is a set of all the outcomes that are possible from a given set of events.
What is the explanation for the above?Table A accurately depicts each potential result. Along the column on the left is where you'll see the card outcomes.
The spinner's output is shown along the top row. The intersection of the left and top results appears in each cell.
For instance, row 1, and column 3 include "red, purple" to show that you received a card with the color "purple" and the color "red" on the spinner.
The labels on each cell in table A are accurate. At least one cell in the other tables (B, C, and D) contains an incorrect label.Table B's middle cell in the top row reads "blue, green" when it should read "blue, purple."Table C's upper left corner reads "green, green" when it should be "green, purple."In the bottom middle cell of Table D, "blue, blue" appears where "blue, green" should. Since there isn't a blue card, it is impossible to say "blue, blue."We can rule out options B through D using the three things outlined above.Learn more about samples at;
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Point E,F,D are located on circle C
The measure of arc ED is 68 what is the Measure of angle EFD
The measure of the angle EFD will be 68 degrees. The correct answer is option B.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that:-
The arc angle is 68 degrees and we need to find the angle EFD.
As it is given in the question that the angle suspended by the arc is 68 degrees so the angle EFD will also be equal to 60 degrees.
Therefore the measure of the angle EFD will be 68 degrees. The correct answer is option B.
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PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. the length TP in cm is:
Here, ΔTPQ is isosceles and TO is the angle bisector of ∠PTO.
[∵ TP=TQ = Tangents from T upon the circle]
⠀⠀⠀⠀⠀⠀⠀⠀∴ OT⊥PQ
So, PR = RQ = 4cm.⠀⠀⠀
___________________________________________
[tex]\longmapsto{}[/tex]By Applying Pythagoras Theorem in ∆OPR :
OR = √OP² - PR²
OR = √5² - 4²
OR = 3cm
__________________________________________
Now,
[tex]\leadsto[/tex]∠TPR + ∠RPO = 90° (∵TPO=90°)
[tex]\leadsto[/tex]∠TPR + ∠PTR (∵TRP=90°)
[tex]\leadsto[/tex]∴ ∠RPO = ∠PTR
⠀⠀
∴ Right triangle TRP is similar to the right triangle PRO. [By A-A Rule of similar triangles]
⟼[tex]\frac{TP}{PO} = \frac{RP}{RO} [/tex]
⟼[tex]\frac{TP}{5} = \frac{4}{3} [/tex]
⟼[tex]TP= \frac{20}{3} [/tex]
Hence you got your answer here.⠀⠀⠀⠀⠀
-MissAbhiWhich of the following is calculated by finding the product of the length,
width, and height of a prism?
A. Perimeter
B. Surface area
C. Lateral area
D. Volume
vulume of the following is calculte by finding the product of the lenth,width,and height of a prism
___________is a relation in which each element of the domain is paired with exactly one element of the range.
Answer:
A function
Step-by-step explanation:
A function is a relation in which each element of the domain is paired with exactly one element of the range.
Which statement describes the quadratic inequality in factored form that represents the relationship greater than or equal to the quadratic equation containing the point (6, -8) on the boundary and zeros -4 and 10?
In the equation given, the quadratic inequality that shows the relationship above is: option B. y ≥ 0.2(x + 4)(x - 10).
What is the quadratic inequality about?Note that a quadratic function exist in factored form is as:
y = a(x - a)(x - b)
The zeros of the equation is seen at x = (-4, 10)
Therefore, one need to write an expression for the quadratic inequality and so it will be:
y ≥ a(x - a)(x - b)
Also note that at At point (6, -8), we also have:
-8 = a(6 - (-4))(6 - 10)
-8 = a(6 + 4)(6 - 10)
-8 = a(10)(-4)
-8 = -a(40)
a = 0.2.
Therefore, In the equation given, the quadratic inequality that shows the relationship above is: option B. y ≥ 0.2(x + 4)(x - 10).
See full question below
Which statement describes the quadratic inequality in factored form that represents the relationship greater than or
equal to the quadratic equation containing the point (6, -8) on the boundary and zeros-4 and 10?
Oy2-0.2(x + 4)(x - 10)
Oy≥ 0.2(x + 4)(x - 10)
O y 20.2(x-4)(x + 10)
Oy2-0.2(x-4)(x + 10)
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A sample of 40 11th graders were asked to select a favorite pattern out of 6
choices. the following display shows what their favorite color patterns were.
the counts have been recorded in the accompanying table according to
pattern and the number of students who selected that pattern. what is the
missing value in the table?
color pattern
frequency
blue on gray
4
green
6
pink polka dots
?
purple
8
red and orange
stripes
7
yellow
3
the answer is 12
Step-by-step explanation:
Is augmented matri invertible if linear system has a unique solution
An augmented matrix is invertible if the linear system has a unique solution.
What is an augmented matrix?
The augmented matrix is known as a rectangular matrix.
The properties of an augmented matrix includes:
The number of columns is equal to the number of variables in the linear equations. The number of rows is the same as the number of linear equations.The rows of the augmented matrix can be also be interchanged.Note that the inverse of a matrix must be unique
And If A is invertible, then its inverse is unique.
If the linear system is unique, then the augmented matrix is invertible.
Thus, an augmented matrix is invertible if the linear system has a unique solution.
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CAN SOMEONE HELP ME PLS?????
You are correct, P(red) = P(green) = 0.25.
which of the following sets of inequalities
Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality for the red portion is,
slope, m = (-2/-4) = 1/2
y-intercept is 2.
y ≤ (1/2)x + 2
The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2
y-intercept is -1.
y > 2x - 1
Hence, the correct options are 2 and 3.
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Find the highest common factor of 12 and 40
To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.
[tex] \purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}[/tex]
Take every common prime factor between 12 and 40[tex] \red {\large \implies} \large \: 12 \: = \: 2 \: \times \: 3 \: \times \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: \times \: 2 \: \times \: 5 \: \times \: 2 \: [/tex]
Finally, identify the factors common to each number and multiply those common factors together.
[tex] \rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: \times \: 2[/tex]
[tex]\rm\orange {\large \implies} \large \:HCF = 4[/tex]
what are the zero of f(x)=x(x-8)
The zeroes of the function f(x) = x (x – 8) will be 0 and 8.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
f(x) = x (x – 8)
The zeroes of the function f(x) is given by the factor equals to zero.
Then we have
f(x) = 0
x(x – 8) = 0
x = 0, 8
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How much money do I need now if I am going to recieve $5000 every 6 months (starting in 6 months) for 10 years if the interest rates are 4%/a compounded semiannually?
He needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
What is Interest ?Interest is the amount of money received , when a certain lump sum amount is deposited.
It is given that the person is receiving ,
Interest = $5000 ,
after six months , every six month
Time Period = 10 years
Interest Rate = 4%
Compounded Semiannual
Let the principal amount be $x
Compound Interest is given by
Amount = P[ 1 + r/n]ⁿˣ
Here x is the time period
Therefore the Amount = x{ 1 +0.04/2}²⁰
x + 5000 *20 = x{ 1 +0.04/2}²⁰
x + 100000 = 1.486 x
x = $205783
Therefore he needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
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Suppose you flip two coins. What is the probability of getting at most one heads? give your answer as a reduced fraction.
The probability of getting at most one heads is 1/2
How to determine the probability?Let H represents Head and T represents Tail.
The sample space of two coin is:
S=(H,T),(T,T),(T,H),(H,H).
In the above sample, we have:
At most one head = 2
Total = 2
The required probability is then calculated as:
P = 2/4
Simplify
P = 1/2
Hence, the probability of getting at most one heads is 1/2
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Jaime makes the following claim.
An angle with a measure of π/3 radians in a circle with a radius of 3 inches is smaller than an angle with a measure of π/3 radians in a circle with a radius of 6 inches. This is because the radian measure is based on the length of the radius of the circle and a radius of 3 inches is smaller than a radius of 6 inches.
1. Review Jaime’s statement and what you know about angles and radians.
a. Explain whether you agree with Jaime’s statement or not.
b. Provide examples to support your whether you agree or disagree.
In the case above, Jaime claim is true.
The explanation to agree with Jaime’s statement or not is that the longer the length of the radius, the longer the length of the arc.What is the claim about?1. Note that radian measure:
= [tex]\frac{60° }{360°}[/tex] x 2π x 3
= 1/6 x 6π
= π
2. Note that radian measure:
= [tex]\frac{60° }{360°}[/tex] x 2π x 6
= 1/6 x 2π x 6
=2π
So we can write it as:
π/3 x 180°/π = 60°
Therefore, via the solution above, Jaime claim is true.
3. Note that: Radian measures: the percentage of arc measures x 2π x radius and so one can say that The explanation to agree with Jaime’s statement or not is that the longer the length of the radius, the longer the length of the arc.
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Package Express, Inc. operates a small package delivery service in the Jacksonville suburbs. If the company uses a regression equation to forecast total operating costs, the coefficient of the equation's independent variable would correspond to the:
The coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.
What is variable operating cost?Variable operating cost can be defined as those cost that varies due to changes in a company or an organization day to day operating activity.
Delivery cost is an example of variables cost because cost of delivery a product or goods depends on the volume or units of the goods.
Therefore the coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.
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At which point in the business cycle would the unemployment rate begin to increase? 1 2 3 4
Answer:
2 & 3
Step-by-step explanation:
2. High Interest Rates
High-interest rates make it more difficult for businesses to invest. For instance, a small store that is just starting is going to find it hard to make repayments at an interest rate of 20 or 30 percent. It also sucks out money from the economy and re-directs it to the banks. As the interest rates are so high, businesses and consumers reduce their demand for credit. In turn, there is a contraction in the money supply which can lead to deflation.
The effects of high interest rates can be dire if not managed correctly and subtly by central banks. If the interest rates are increased too fast, too high, and too rapidly, we will see the aforementioned effects such as lower business investment and deflation. Therefore, it can contribute to a transition towards an economic contraction in the business cycle.
3. Declining Real Incomes
Inflation can create a drain on consumer incomes as it decreases its value year on year. Therefore, if firms do not increase wages in line with inflation, the average worker will be able to afford less than before.
If real incomes decline, it means consumers have less income to spend on goods and services in the economy. In turn, a prolonged period of decline in real incomes can contribute to an economic contraction in the business cycle.
Answer
is 3 just did it on edge
Step-by-step explanation:
let a,b, and c be real numbers where a ≠ b≠c≠0. which of the following functions could represent the graph below?
The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The factor of the function will be
(x - 0), (x - a), (x - b), and (x - c)
Then the function will be
Then the function can be written as
f(x) = x²(x - a)²(x - b)(x - c)
Then the correct option is A.
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Answer:
The answer on Edge is Choice A
Step-by-step explanation:
Gary and Georgia split £56 in the ratio
2:5.
How much money does Georgia get?
Give your answer in pounds (£).
Answer:
£40
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts
divide the amount by 7 to find the value of one part of the ratio.
£56 ÷ 7 = £8 , then
5 parts = 5 × £8 = £40 ← amount Georgia gets
Out of £56, the money received by Georgia is equivalent to $40.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given is Gary and Georgia who split £56 in the ratio 2:5.
There are total of 7 parts. This means that £56 is divided equally among the seven parts. Assume that the one part is equivalent to x. Then the cost of 7 parts = 7x. From the question, we can write -
7x = 56
x = 8
Georgia has 5 parts, therefore the money received by Georgia will be = 5 x 8 = 40
Therefore, out of £56, the money received by Georgia is equivalent to $40.
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In the figure, all, and both lines are intersected by transversal & Complete the statements to prove that m≤1 = m25.
allo (given)
m1+m3=180° (Linear Pair Theorem)
m5+ m6=180° (Linear Pair Theorem)
m1+m3= 5+ 6()
m3=m6()
m1 m5 (Subtraction Property of Equality)
First blank: Substitution or transitive property of equality
Second blank: Subtraction property of equality
find the ratio of 4 days to 2 weeks
Figure A
Figure B
Figure A is rotated 180°, then reflected across the line.
Figure B is reflected across the line, then rotated 180°.
Which of the following shows the two figures after they are
transformed?
Answer:
The answer is c
Step-by-step explanation:
look at the picture carefully
Solve this question please
The expansion of the polynomial is given as:
[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The expansion is given as:
[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]
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The set of rational numbers include all the following numbers except...
O √120
6²
O 12.9
O1/3
Answer:
[tex] \sqrt{120} [/tex]
Step-by-step explanation:
√120 is irrational.
Which expression is represented by the diagram?
-6 - (-1)
-6 - 1
-5 - (-1)
-5 -1
Answer:
C
Step-by-step explanation:
Answer:
Please review the question. I don't see a diagram. And the "expressions" are just numbers.
Step-by-step explanation:
The expressions aren't really expressions. There are no variables (x or y).
-6 - (-1) is -5
-6 - 1 is -7
-5 - (-1) is -4
-5 -1 is -6
We don't know if these are values of x or y, so the diagram could only be a series of dots on a number line.
Which equation has a graph that lies entirely above the x-axis?
y = -(x + 7)² + 7
y= (x-7)²-7
y= (x-7)² +7
y= (x-7)²
Heyo!
The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.
Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!
Answer:
Step-by-step explanation:
Please Help!10.<ADC and <FDA are a linear pair. What is the reason?
Answer:
Linear pair of angles are formed when two lines intersect each other at a single point. Therefore, <ADC and <FDA are a linear pair.
Step-by-step explanation:
7. Which of the verbal descriptions best matches the function below?
f(x)=0.02x+150
Gene earns 2% interest after depositing $150 into his account , Option D.
What is a Function ?A function is a law that relates an independent variable and a dependent variable with each other.
The function given is
f(x) = 0.02 x +150
Option D , Gene earns 2% interest after depositing $150 into his account
So this verbal description matches the function given as it represents , the total account balance of Gene .
Therefore Option D is the correct answer.
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select the most appropriate measurement for each of the following
Answer:The following what
Step-by-step explanation:
what is the following and there is no questions.
The base of the pyramid is a rectangle that is not a
square. Which statements correctly describe the
symmetry of the pyramid? Check all that apply.
The pyramid has four planes of symmetry.
O The pyramid has two planes of symmetry.
An axis of symmetry passes through the vertex and
is perpendicular to the base.
An axis of symmetry passes through the vertex and
through one of the triangular faces of the pyramid.
An angle that measures 90° is an angle of rotation
for an axis of symmetry for the pyramid.
An angle that measures 45° is an angle of rotation
for an axis of symmetry for the pyramid.
An axis of symmetry passes through the vertex and is perpendicular to the base. Then the correct options are B, C, and E.
What is a rectangular pyramid?Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.
The base of the pyramid is a rectangle that is not a square.
The pyramid has two planes of symmetry.
An axis of symmetry passes through the vertex and is perpendicular to the base.
An angle that measures 90° is an angle of rotation for an axis of symmetry for the pyramid.
Then the correct options are B, C, and E.
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Given parallelogram STUV, what is the length of TV?
The length of TV would be [tex]y^{2}[/tex] + 2y -1.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given parallelogram STUV,
The length of TW = [tex]y^{2}[/tex]
WV = 2y - 1
The length of TV = TW + WV
= [tex]y^{2}[/tex] + 2y -1
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