The difference between X₁ and X₁ is "X₁ is a random variable, and X₁ is a specific numerical value".
Any variable whose value is uncertain or any function that values each result of an experiment is referred to as a random variable. Random variables are frequently identified by letters and fall into one of two categories: discrete variables, which have definite values, or continuous variables, which can take on any value within a continuous range.
A parameter's estimated value in numbers, specifically. The sample mean is the most accurate estimate of the population mean. A range or interval of values used to gauge the parameter. The value of the parameter under consideration may or may not be included in this estimation.
So we can say the difference between X₁ and X₁ is "X₁ is a random variable, and X₁ is a specific numerical value".
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Choose a set of function concept vocabulary phrases below.
Define each word or phrase from your set in a way that a younger student/sibling would understand.
Compare and contrast the words or phrases within your set.
Explain why you think the words/phrases in your set were grouped together.
Set 1: input, output, domain, range, inequality
Set 2: linear function, quadratic function, exponential function
Set 3: association, relation, function, vertical line test
Set 4: parabola, horizontal asymptote, y-intercept, x-intercept, minimum value, maximum value
Set 5: contextualized math problem, decontextualized math problem, restriction
The linear, quadratic and exponential functions form a set because they differ only in the values of exponents.
What is Function?
A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Choose a set among the 4 sets.
Let us choose set 2.
Linear Function :
Linear functions are functions whose variable has the highest degree equal to 1. The graph of the linear function is a line.
Standard form of linear equation is y = mx + c.
For example, let f(x) = 5x + 2.
Quadratic Function :
Quadratic functions are functions whose variable has the highest degree of 2. The graph of quadratic function is a parabola.
Standard form of quadratic function is y = [tex]ax^{2} +bx+c[/tex]
For example, let f(x) = [tex]2x^{2} +4x-5[/tex]
Exponential function :
Exponential functions are functions where the variable lies in the exponent. The graph of exponential functions makes a curve which grows steeper over time.
Standard form of exponential function is y = [tex]e^{x}[/tex]
For example, let f(x) = [tex]2^x[/tex]
Hence these formed into a group because of they are different type of functions which differ in the exponents.
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If the scale factor of two similar cylinders is 4:7,
what is the volume ratio?
A. 64:343
B. 12:21
C. 16:49
D. 256:2,401
Answer:
the answer is A. 64:343.
Step-by-step explanation:
The ratio of the volumes of two similar figures is equal to the cube of the ratio of their corresponding side lengths. Since the scale factor of the two cylinders is 4:7, the ratio of their corresponding radii is 4:7 and the ratio of their heights is also 4:7.
So, the ratio of their volumes is (4/7)^3 = (64/ 343) = 64:343
So, the answer is A. 64:343.
In circle E the length of FG is 5/3 pie and m
The circle's shaded area, which has a sector angle of 50 degrees and an arc length of 5/3 pie, has a surface area of 15.67m2.
what is circle ?A circle is created in the plane by each point that is a specific distance from another point (center). Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.
given
A / θ = πr² / 2π
A / θ = r² / 2
A = r² * θ / 2
A = (5/3)^2 * 25
A = 15.67 m2
The circle's shaded area, which has a sector angle of 50 degrees and an arc length of 5/3 pie, has a surface area of 15.67m2 .
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The completed question is :-
In circle E , the length of FG = 5/3π and ∠FEG = 50° . Find the area shaded below. Express your answer as a fraction times .
What are the additive inverse of 19 /- 6 and 2 3?
The additive inverse of 19 /- 6 is -19 /+ 6 and the additive inverse of 2 3 is -2 3.
Additive inverse is a mathematical term that refers to when two numbers are combined and their sum is equal to zero. To calculate the additive inverse of a fraction, you need to change the sign of the numerator and denominator. In the case of 19 /- 6, the -6 is already negative, so you just need to change the sign of the numerator from 19 to -19. Similarly, for 2 3, you need to change the sign of the numerator from 2 to -2. This would mean that the additive inverse of 19 /- 6 is -19 /+ 6 and the additive inverse of 2 3 is -2 3.
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i just wanted to know what is -21(negative) divided by 3 is
Answer:-7
Step-by-step explanation:
Answer:
[tex]\boxed{-7}[/tex]Step-by-step explanation:
When you are dividing negative numbers, it's going to stay negative:
[tex]= > -21/3=\\\\= > -7[/tex]
Therefore, the correct answer is -7
what is the location of the vertex of this graph?
The location of the vertex of this graph is (-1, -18)
How to determine the vertex of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The vertex of a graph is the minimum or the maximum of a graph
In this case, it is a minimum and the minimum is located at (-1, -18)
Hence , the vertex is (-1, -18)
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Evelyn is donating boxes of pasta to a local food pantry. The weight limit on one cardboard box is 28 kilograms. If each box of pasta weighs kilogram,what is the greatest number of boxes of pasta Evelyn 2 5 can put into one cardboard box without going over the weight limit?
70 is the greatest weight that Evelyn can put into the cardboard without going over the weight limit
How to calculate greatest weight that can be put into the cardboard?From the question
Weight limit on one box = 28 kilograms
Weight of each box = ⅖ kilogram
To find the greatest number of boxes of pasta she can put into one cardboard box without exceeding the weight limit, we have:
G=28/2/5
To divide the fraction, change the division sign to multiplication and flip the fraction:
=28x5/2
=140/2
=70
Therefore, the greatest number of boxes Evelyn can put without going over the weight limit is 70 boxes
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which number line shows the inequality n>-3?
The number line that represents the solutions that is n > 3 is number line 1.
What is the number line about?Any real number can be represented in two dimensions using a number line. Any number on the number line with a solid circle next to it means to include that number followed by the rest of the values, and any number with a hollow circle means to exclude that value from the list before the rest of the values.
The solutions represented by number line 1 are those where n>3. By using special representational techniques, number lines are used to represent real numbers. This was Illustrated in number line 1.
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what is angle ros as a integer or a decimal
The measure of the angle m<ROS = 14°.
What is the angle?
An angle is a geometric figure that is defined by two rays that have the same endpoint. The rays are called the sides of the angle and the common endpoint is called the vertex of the angle. The angle is the amount of rotation between the two rays, measured in degrees or radians.
In the given figure,
m<QOS = 46, m<POR = 58 and m<POQ = 26
m<POR = m<POQ + m<QOR
58 = 26 + m<QOR
m<QOR = 32
m<QOS = m<QOR + m<ROS
46 = 32 + m<ROS
m<ROS = 14
Hence, the measure of the angle m<ROS = 14°.
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Match the 3 statements. ( Please only answer if you know )
A survey found that 10% of Americans believe that they have seen a UFO. For a sample of 10 people, find the probability that at least 2 people believe that they have seen a UFO.
The probability that at least 2 people believe that they have seen a UFO is 0.264.
How to calculate the probability?Here, n = 10, p = 0.1, (1 - p) = 0.9 and x = 2
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)
We need to calculate P(X >= 2).
P(X >= 2) = (10C2 * 0.1^2 * 0.9^8) + (10C3 * 0.1^3 * 0.9^7) + (10C4 * 0.1^4 * 0.9^6) + (10C5 * 0.1^5 * 0.9^5) + (10C6 * 0.1^6 * 0.9^4) + (10C7 * 0.1^7 * 0.9^3) + (10C8 * 0.1^8 * 0.9^2) + (10C9 * 0.1^9 * 0.9^1) + (10C10 * 0.1^10 * 0.9^0)
P(X >= 2) = 0.194 + 0.057 + 0.011 + 0.001 + 0 + 0 + 0 + 0 + 0
P(X >= 2) = 0.264
The probability is 0.264.
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Maria plots the following points on a coordinate grid. Then, she connects each plotted point to the previous one in the order shown to form a figure. What is the area, in square units, of the enclosed figure? (1,3) (5,7) (5,5) (8,9) (8,3) (1,3)
Area of the enclosed figure is, 8√ 5 (5 + 2√5) units².
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Maria plots the following points on a coordinate grid.
Here, Points are,
⇒ (1, 3) (5, 7) (5, 5) (8, 9) (8, 3 ) (1, 3)
Clearly, It make pentagon.
And, Area of pentagon = 1/4 √5 (5 + 2√5) a²
Here, The side of pentagon = √ (7 - 3)² + (5 - 1)²
= √4² + 4²
= √32
= 4√2
Thus, Area of figure = 1/4 √5 (5 + 2√5) a²
= 1/4 √5 (5 + 2√5) (4√2)²
= 8√ 5 (5 + 2√5)
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Find the measure of the indicated arc or angle.
Answer: Arc EG/GE = 135°
Step-by-step explanation:
Given:
∠EGF = 80°
Arc FG = 65°
Since ∠EGF = 80°, the value of Arc EF = 2(∠EGF)
Therefore, Arc EF = 2(80°) = 160°
The arc measure of an entire circle is 360°.
Therefore,
360° = EF + FG + GE
360° = 160° + 65° + GE
GE/EG = 135°
Make a concept map showing the relationships among
quadrilaterals, parallelograms, trapezoids, isosceles trapezoids, kites, rectangles, squares,
and rhombuses.
We can summarize the relationships among these shapes as:
Quadrilaterals --> Parallelograms --> Rhombuses
--> Trapezoids --> Isosceles Trapezoids
--> Rectangles --> Squares
--> Kites
What is Quadrilaterals?A quadrilateral is a four-sided polygonal shape. The parallelogram, the trapezoid, the rectangle, and the square are just a few of the many distinctive quadrilateral shapes. A parallelogram has lengths that are both equal and parallel on its opposite sides. A trapezoid with an isosceles shape has two parallel sides that are each the same length. Two sets of the sides on a kite are of identical length. Rectangles have four equal sides and four right angles. There are four right angles and four equal sides to a square.With four equal sides, a rhombus is a parallelogram.To learn more about quadrilateral refer:
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Is Figure B a scale copy of Figure A?
Choose 1 answer:
A
Figure A
B
Yes
No
Figure B
Figure A is replicated in scale in Figure B. A figure that is geometrically identical to the original figure is called a scale copy.
What is meant by scale copy?A figure that is geometrically identical to the original figure is called a scale copy. This indicates that the scale copy and the original figure are identical in shape but may vary in size. Every length in the original figure is multiplied by the same number in a scaled copy, which is a copy of the original figure. For instance, triangle ABC is a scaled version of triangle DEF. To find the matching side length on triangle DEF, each side length on triangle ABC was multiplied by 1.5.Given are two triangular figures, Figure A and Figure B.
The scale factor from figure A to figure B is requested of us.
As a result, Figure B is the last figure and Figure A is the first figure.
Any figure's scale factor is described as stated in equation (1)
[tex]Scale Factor =\frac{\text { Final Dimension }}{\text { Initial Dimension }} \ldots \ldots . . .(1)$[/tex]
We can see from the preceding figures that while figure A uses 4 squares to represent the length of a pair of one parallel sides, figure B only needs 2 squares to represent the same length.
As a result, we can write that using equation (1).
[tex]Scale factor =\frac{\text { Dimension of figure } \mathrm{B}}{\text { Dimension of figure } \mathrm{A}}=\frac{2}{4}=\frac{1}{2}=0.5$[/tex]
Since the scale factor is smaller than 1, the figure is contracted, and the scale factor from Figure A to Figure B is therefore 0. 5.
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A fair spinner with three numbers (5, 6, and 7) is spun once. What is the probability that the spinner lands on a number less than 7 or a factor of 42?
Answer:
the probability of landing on a number less than seven is 2/3 which is five and six
the probability of landing on a factor of forty- two is the same which is 2/3 because it is 6 and 7
Suppoe that examining a pro forma reveal that the fifth-year net operating income (NOI) for the ubject property you are analyzing i $218,300. The projected firt-year net operating income (NOI) i $247,000. Uing data from comparable propertie, you have determined the overall capitalization rate to be 6. 00%, and the going-out cap rate to be 22. 0%. If, what i the indicated value of the ubject uing direct capitalization?
So, the indicated value of the subject using direct capitalization is $995,909.09.
To find the indicated value of the subject property using direct capitalization, you need to use the following formula:
NOI / Cap Rate = Indicated Value
The overall capitalization rate is 6.00% and the projected first-year NOI is $247,000.
Therefore, Indicated value can be calculated as:
Indicated Value = $247,000 / 0.06 = $4,116,666.67
Another way to find the indicated value is using the Going-out cap rate, which is 22.0% and fifth-year NOI $218,300.
Indicated Value = $218,300 / 0.22 = $995,909.09
It's important to note that a pro forma is a projection and not a guarantee of future results. Also, the value obtained from using direct capitalization method is an indication, not the actual value, as it's based on certain assumptions and it may not reflect the current market conditions.
Therefore, the indicated value of the subject using direct capitalization is $995,909.09
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Irene thinks she has space for a 45-inch-wide bookcase. It turns out that she only has space for a 40-inch-wide bookcase. What is the percent error in irene's measurement?.
Irene's measuring error is 12.5% when she believes she has space for a 45-inch-wide bookcase but only has enough for a 40-inch-wide bookcase.
What is percent error?A data value's approximation error is the difference between an exact value and some approximation to it. This inaccuracy can be stated as either an absolute or relative error. A computing machine accuracy or measurement mistake can generate an approximation error. The difference between the estimated and real values in relation to the actual value is indicated as a percentage. In other words, the relative error multiplied by 100 equals the percent error. The percentage error compares an estimate to the true amount and expresses the difference as a percentage. This statistic enables analysts to determine the magnitude of the inaccuracy in relation to the real value.
Here,
percent error,
=(45-40)/40*100
=5/40*100
=12.5%
The percent error in irene's measurement is 12.5% when she thinks she has space for a 45-inch-wide bookcase but turns out that she only has space for a 40-inch-wide bookcase.
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How many of the terms in the simplified expression are negative in the expression -3x2 + 2y 2 + 5xy - 2y + 5x2 - 3y2
Answer:
2
Step-by-step explanation:
You want the count of negative terms in the simplified form of -3x² + 2y² + 5xy - 2y + 5x² - 3y².
SimplificationThe expression is simplified by combining like terms.
-3x² + 2y² + 5xy - 2y + 5x² - 3y² = (-3+5)x² +5xy +(2-3)y² -2y
= 2x² +5xy -y² -2y
There are two negative terms in the simplified expression.
An office building is renting offices that each have an area of 500 square feet. The office building is renting a total of 7,000 square feet of offices. How many offices does the building have to rent?
The building have to rent 14 offices with area 500 ft² each so that the total acquired space is 7000 ft².
What is division?
One of the four fundamental mathematical operations—the others being addition, subtraction, and multiplication—is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
The area of one office is 500 ft².
The total space acquired by the office building is 7000 ft².
To find the number of offices the building is renting, use the formula of division -
Number of office = Total space rented / Area of one office
Let the value of number of office rented be x.
Substituting the values in the equation -
x = 7000/500
x = 14
Therefore, the number of offices being rented is 14.
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Regina is tying a bow around a soccer ball to
give to her sister. The ball has a radius of 4.5
inches. If the ribbon needs to be 10 inches
longer than the circumference of the ball so
she has enough room to tie a bow, how
many inches of ribbon will she need? (Please show work)
The length of the ribbon that Regina needed is 38.10 inches
Circle’s Circumference
The measurement of the circle's boundaries is known as the circumference or perimeter of the circle. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.
The formula for the Circumference of the circle is given by
Circumference = 2πrwhere 'r' is the radius of the circle.
Here we have
Regina is tying a bow around a soccer ball to give to her sister.
The ribbon must be 10 inches longer than the circumference of the ball
Length of the ribbon = Circumference of ball + 10 inches
Given the radius of the ball, r = 4.5 inches
Circumference of ball = 2(3.14)(4.5) = 28.26 inches
So, Length of the ribbon = 28.26 inches + 10 inches = 38.10 inches
Therefore,
The length of the ribbon that Regina needed is 38.10 inches.
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A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3. 125.
The common ratio of the given geometric sequence is 0.5
We know that for any geometric sequence,
aₙ = arⁿ⁻¹
where aₙ is the nth term of the sequence
a is the first term of the sequence
r is the common ratio.
Hence when we say that the third term is 100 we can conclude that for the series
ar³⁻¹ = 100
or, ar² = 100 [1]
Also, we have been given that the eight-term is 3.125
Hence we can say that,
ar⁷ = 3.125 [2]
By dividing equation 1 by equation 2 we get
ar⁷/ar² = 3.125/100
or, r⁵ = 3125/100000
or, r⁵ = 5⁵/ 10⁵
Since the powers are the same, the bases can be equated to get
r = 0.5
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Complete Question
A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3.125. Find the common ratio.
how much metal is needed to cast a cubical metal box with 12-inch long exterior edges if the thickness of its walls should be exactly 3 inches?
Answer:
Step-by-step explanation:
I had to do this like 3 times; hope this helps!! Remember both parts are 3d spaces.
Basically I did whole box - part of the box
Remember your formulas !! <3
anybody have the answers to the whole test on formative? ill give Brainliest
The value of x in the triangle is 110 degrees.
How to find the exterior angles of a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Therefore, the sum of the two opposite interior angle is equals to the exterior angle x.
Hence, using exterior angle theorem,
x = 45 + 65
x = 110 degrees
Therefore, the most efficient way to measure the angle x is by summing the opposite interior angles.
The value of x is 110 degrees.
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Answer!! What is Simplified?
Answer:
Step-by-step explanation:
the volume of rectangle is length * width * height
so v=(3x-4)*(3x+4)*2x=(9x^2-16)*2x=18x^3-32x
maybe the choice is D
Pablo wants to find the most popular television show among seventh- grade students at his school. Which method will most likely. Result in a representative sample of the population
Randomly surveyed 50 seventh-grade students at Pablo's school.
What is confidence in statistics?
In statistics, confidence refers to the level of certainty or trust in the accuracy of a statistical estimate. A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence. The level of confidence is usually expressed as a percentage, such as 95% or 99%.
In this experiment, the focus is on seventh graders, and therefore a more representative sample of the population will be selected 50 seventh-grade students from Pablo's school. Selecting this category of the sample will increase confidence in the result of the statistical experiment.
Hence, randomly surveyed 50 seventh-grade students at Pablo's school.
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HELPP Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 100 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 500 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Answer:
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
A study finds that out of every 400 babies born in the world, 20 have some kind of major birth defect. What is the simplest way to assign random numbers to conduct a simulation based on this statistic?
Select the correct choice below and fill in the answer boxes to complete your choice.
Fill in the question mark for the answer you choose
A. Use 1 digit numbers 0-9, let 0- ? Represent babies born with birth defects and #?-? Represent babies born without a major defect
B. Use 1 digit numbers 0-9, let 0- ? Represent babies born with birth defects, #?-? Represent babies born without a major defect, and skip #?-9.
C. Use 2 digit numbers 00-99, let 00-?? represent babies born with birth defects and #??-?? Represent babies born without a major defect.
D. Use 2 digit numbers 00-99, let 00-?? represent babies born with birth defects, #??-?? Represent babies born without a major defect, and skip #??-99
Answer:
b
Step-by-step explanation:
hopefully this helps
go to the link ONG i will give brainly bc idc and i never use this so ill give anyone it OMM
Answer:
PLS GIVE IT TO ME
Step-by-step explanation:
If f(x)f(x) is an exponential function where f(4)=21f(4)=21 and f(4.5)=47f(4.5)=47, then find the value of f(7.5)f(7.5), to the nearest hundredth.
The value of f(7.5) of the exponential function is 86.84
How to find the value of f(7.5) of the exponential function?
The general form of an exponential function is given by:
f(x) = abˣ
Since f(x) is an exponential function, and f(4)=21 and f(4.5)=47. We can write that:
21 = ab⁴ --- (1)
47 = ab⁴°⁵ --- (2)
Divide (2) by (1):
47/21 = b⁴°⁵⁻⁴
47/21 = b⁰°⁵
b =√(47/21)
b = 1.50
Put b = 1.5 into (1):
21 = ab⁴
21 = a(1.5)⁴
a = 21/(1.5)⁴
a = 4.15
So the exponential function f(x) = 4.15(1.50)ˣ
To find the value of f(7.5), put x = 7.5 into the exponential function:
f(x) = 4.15(1.50)ˣ
f(7.5) = 4.15(1.50)⁷°⁵
f(7.5) = 86.84
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