The correct option is (d) i.e; MD = 3 with s2 = 20 for the difference scores because it generates a repeated-measures study's population mean difference with the widest 90% confidence interval.
Given that,
Which of the following will result in the widest 90% confidence interval for the population mean difference for a repeated-measures research, provided the sample size is kept constant?
MD = 3 with s2 = 20 for the difference scores.
Therefore, the correct choice is MD = 3 with s2 = 20 for the difference scores because it produces the widest 90% confidence interval for the population mean difference for a repeated-measures study.
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in which section of the graph does the actual solution to the system lie? 1 2 3 4; consider this system of inequalities. x + y โค โ3 y < which graph shows the solution for this system?; modeling with systems of linear inequalities ; consider the system of inequalities and its graph; consider the system of inequalities and its graph y x/4; a school is planning for an addition; which graph represents the system of inequalities y 34x 2y โ 1 โฅ 2x; which graph represents the solution set of the system of inequalities? (x+y 12y โฅxโ4)
The graph of the system of inequalities y ≤ –0.75x , y ≤ 3x – 2 is attached.
Actual solution of the inequalities in the graph is shown by common shaded region of both the inequalities below A(-0.533 , 0.4 ).
As shown in the question,
Given system of inequalities are :
y ≤ –0.75x
y ≤ 3x – 2
Graph of the inequalities is attached.
For first inequality :
y ≤ –0.75x
When x = 0
y ≤ 0
when y =0 ⇒ x ≤ 0
For second inequality :
y ≤ 3x – 2
x = 0⇒ y ≤ -2
when y =0 ⇒x ≥ 2/3
Actual solution by converting into equalities
y = -0.75x
Substitute in second equation
-0.75x = 3x -2
⇒ 3.75x =2
⇒ x= 0.5333
⇒ y= -0.4
Graph below ( 0.533 , -0.4 ) represents the actual solution.
Therefore, the actual solution of the attached graph of the inequalities is region below ( 0.533 , -0.4 ) common shaded region.
The complete question is :
Consider the system of inequalities and its graph. y ≤ –0.75x , y ≤ 3x – 2 In which section of the graph does the actual solution to the system lie? 1 2 3 4.
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The angle
θ
1
θ
1
theta, start subscript, 1, end subscript is located in Quadrant
II
IIstart text, I, I, end text, and
sin
(
θ
1
)
=
9
41
sin(θ
1
)=
41
9
sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of
cos
(
θ
1
)
cos(θ
1
)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Express your answer exactly.
cos
(
θ
1
)
=
cos(θ
1
)=
The value of cosθ₁ is -40/41 when angle θ₁ is located in quadrant II and sinθ₁=9/41.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that angle θ₁ is located in quadrant II and sinθ₁=9/41.
We need to find the value of cosθ₁.
We know that sinθ is opposite side/hypotenuse .
opposite side=9 and hypotenuse is 41.
By pythagoras theorem we find the adjacent side.
41²=9²+x²
41²-9²=x²
1681-81=x²
Taking square root on both sides
x=40
So adjacent side is 40.
cosθ₁=Adj/hyp
=40/41
Since it is in second quadrant the value of cosθ₁ will be -40/41.
Hence, angle θ₁ is located in quadrant II and sinθ₁=9/41 then value of cosθ₁ is -40/41.
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Use a graph to show the relationship between the time and the distance traveled
Answer:
I don't know the answer of this questions
Find the slope of the line that passes through (5, 9) and (3, -5). Write your answer in simplest form.
Therefore the slope of the line passes through (5, 9) and (3, -5) comes out to be 7.
What is slope?By computing the ratio of the vertical to horizontal distance (rise over run) between two points, the slope—a numerical value that defines how steep a line is—is often calculated.
Here,
The slope of line that passes through (5, 9) and (3, -5)
Slope= gradient between the two points
Slope= (y2-y1)/(x2-x1)
Where y2= -5
Y1= 9
X2= 3
X1= 5
=> (-5-9)/(3-5)
=> -14/-2
=> 7
Therefore the slope of the line passes through (5, 9) and (3, -5) comes out to be 7.
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HELP !
The Manchester novelty shop borrowed $205,000 from the bank to pay for new merchandise. The bank lent the money at 6 percent ordinary interest for 45 days. Find the interest owned and the maturity value of the loan.
The interest owned and the maturity value of the loan is $217,300.
What is meant by interest?Simple interest is calculated using the following formula. PRT/100 is the formula for simple interest (SI). In this case, the principal amount is P, the interest rate is R, and the interest period is T. The total sum that must be paid consists of the principal amount plus basic interest, or P + SI.
The interest rate for the loan is denoted by this proportion. When you deposit money in a high-yield savings account, for instance, a bank will give you interest. Simple interest examples include monthly-amortized auto loans and store installment loans; both have a dipping loan balance with each monthly payment as well as a dipping interest rate.
Principal amount=205,000
Given that the interest is 6%
=205000(6/100)
=12300
The maturity amount of loan is:
=205000+12300
=$217300
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A dessert recipe calls for 2 cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
5 servings = 2 cups of milk
1 serving = 2/5 cups of milk
do not worry about the fraction of milk for now!!
8 servings = 2/5 × 8 cups of milk
= 3.2 cups of milk
= 3 cups (rounded down)
7. Segment A'B' is parallel to
segment AB. (Lesson 3-11)
a. What is the length of
segment A'B'?
2
B'
b. What is the length of C 3
segment B'B?
A'
B
6
12
A
a) The length of segment A'B' is given as follows: 4 units.
b) The length of segment B'B is given as follows: 4 units.
How to obtain the missing lenghts?The two similar triangles in this problem are given as follows:
ABC and A'B'C'.
Then side lengths of ABC are given as follows:
12, 9 and 2 + x.
The equivalent side lengths on triangle A'B'C' are given as follows:
y, 3 and 2.
When the triangles are similar, the side lengths are proportional, hence the following equation is built:
12/y = 9/3 = 2+x/2.
Then the length of segment A'B' is obtained as follows:
12/y = 9/3
12/y = 3
3y = 12
y = 12/3
y = 4.
The length of segment B'B is x, hence it is obtained as follows:
9/3 = 2+x/2.
2 + x = 6
x = 4 units.
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Find the distance between the two points rounding to the nearest tenth (if necessary). (1,−6) and (−8,−4)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-8 - 1~~)^2 + (~~-4 - (-6)~~)^2} \implies d=\sqrt{(-8 -1)^2 + (-4 +6)^2} \\\\\\ d=\sqrt{( -9 )^2 + ( 2 )^2} \implies d=\sqrt{ 81 + 4 } \implies d=\sqrt{ 85 }\implies d\approx 9.2[/tex]
in general, high scores on the big five factor of ___are associated with less optimal life outcomes.
In general, high scores on the big five factor of Neuroticism are associated with less optimal life outcomes.
Neuroticism is one of the Big Five factors in the study of personality in psychology. Neuroticism is a personality trait characterized by sadness, moodiness, and emotional instability.
High neurotic people frequently experience mood swings, anxiety, impatience, and melancholy. People who score lower on this personality trait tend to be more emotionally stable and resilient. A person may strive to be a perfectionist during their everyday activities, and experience stress as a result of events that are beyond their control.
An individual with neuroticism may choose to concentrate on and dwell on the bad rather than the positive parts of a scenario. When individuals believe they have an advantage over others, they get envious of them and experience jealousy.
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In an attempt to clean up your room, you have purchased a new floating shelf to put some of your 17 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 10 of the books. (a) How many ways can you select and arrange 10 of the 17 books on the shelf? Notice that here we will allow the books to end up in any order. Explain. (b) How many ways can you arrange 10 of the 17 books on the shelf if you insist they must be arranged alphabetically by author? Explain. 6. How many triangles are there with vertices from the points shown below? Note, we are not allowing degenerate triangles - ones with all three vertices on the same line, but we do allow non-right triangles. Explain why your answer is correct. 14. We have seen that the formula for Pln,k) is Your task here is to explain why this is the right formula. (a) Suppose you have 12 chips, each a different color. How many different stacks of 5 chips can you make? Explain your answer and why it is the same as using the formula for P(12,5). (b) Using the scenario of the 12 chips again, what does 12! count? What does 7! count? Explain. (c) Explain why it makes sense to divide 12! by 7! when computing P(12,5) (in terms of the chips). (d) Does your explanation work for numbers other than 12 and 5? Explain the formula P(n,k) = using the variables n and k.
(a) In 70,572,902,400 ways can you select and arrange 10 of the 17 books on the shelf.
(b) In 19,448 ways can you arrange 10 of the 17 books on the shelf if you insist they must be arranged alphabetically by author.
In the given question, in an attempt to clean up your room, you have purchased a new floating shelf to put some of your 17 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 10 of the books.
Total number of books = 17
Number of books which self hold = 10
We have to find the following.
(a) We have to find how many ways can you select and arrange 10 of the 17 books on the shelf.
Number of ways to select the 10 books out of 17 books = [tex]^{17}C_{10}[/tex]
Now,
The number of ways of arranging the 10 books = [tex]10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]^{17}C_{10}\times10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]\frac{17!}{10!(17-10)!}\times10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]\frac{17!}{10!7!}\times10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]\frac{17\times16\times15\times14\times13\times12\times11\times10\times9\times8\times7!}{7!}[/tex]
Total number of ways of selecting and arranging 10 books out of 17 = 17×16×15×14×13×12×11×10×9×8
Total number of ways of selecting and arranging 10 books out of 17 = 70,572,902,400
Hence,
Total number of ways of selecting and arranging 10 books out of 17
(b) We have to find how many ways can you arrange 10 of the 17 books on the shelf if you insist they must be arranged alphabetically by author.
Number of ways to select the 10 books out of 17 books = [tex]^{17}C_{10}[/tex]
Number of ways of arranging the 10 books alphabetically = 1
Total number of ways of arranging 10 books out of 17 in the shelf = [tex]^{17}C_{10}[/tex]
Total number of ways of arranging 10 books out of 17 in the shelf = [tex]\frac{17\times16\times15\times14\times13\times12\times11\times10!}{10!\times7\times6\times5\times4\times3\times2\times1}[/tex]
Total number of ways of arranging 10 books out of 17 in the shelf = 19,448
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Consider a population with data values of:
12, 8, 28, 22, 12, 30, 14.
The population standard deviation is closest to: ____.
a) 8.64.
b) 64.00.
c) 74.67.
d) 8.00.
Answer:
D)8.00
σ = √64
= 8
which of the following equations could be the result of using substitution to solve the system
Therefore the solution of the equations could be the result of using substitution is 2[tex]y^{2}[/tex]-6 -y=0
What is equation?In English, an equation is defined as a properly written formula that consists of two expressions joined by an equals sign, while cognates of the word in other languages may have slightly different meanings. For instance, in French, the word "équation" means "thing with one or more variables."
Given two equations are
x=[tex]y^{2}[/tex]-1 and 2x-y=4
We must select an equation from the list of possibilities that may be obtained by utilizing substitution to resolve the problem.
We substitute x in terms of y because the supplied equation is in terms of y.
From 2x-y=4
x=4+y/2
Substitute x=4+y/2 in other equation
We get,
=> x=[tex]y^{2}[/tex]-1
=> 4+y/2 =[tex]y^{2}[/tex]-1
=>4+y=2[tex]y^{2}[/tex]-2
=>2[tex]y^{2}[/tex]-6 -y=0
Therefore the solution of the equations could be the result of using substitution is 2[tex]y^{2}[/tex]-6 -y=0
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Which of the following equations is modeled by the counters inside the rectangle?
A. 12 ÷ 3 = 4
B. (-12) ÷ (-3) = -4
C. 12 ÷ (-3) = -4
D. (-12) ÷ 3 = -4
PLEASE ANSWER FAST!
The equation which represents the counters inside the rectangle is,
12 ÷ 3 = 4.
What is equation?
Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
In the given diagram there is a rectangle containing 4 counters.
Each counter containing 3 red balls.
So, the total number of red balls are 4 x 3 = 12.
From this the equation which represents the counters inside the rectangle is,
12 ÷ 3 = 4.
Hence, the equation which represents the counters inside the rectangle is, 12 ÷ 3 = 4.
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Which of the following terms appear in the expansion of (x + y)10? The letter a in each term represents a real constant. ax3y7, ay5, ax5, ax5y
In the binomial expression (x + y)^10, the term that will appear in the expansion of expression is ax^3y^7.
Binomial expression refers to the algebraic expression which contains two terms. These expressions are expanded using binomial theorem. According to the theorem, it is possible to expand the binomial (x + y)^n into a sum involving terms of the form ax^by^c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. Hence, for the given expression, the term which will appear in the expansion of binomial would have variables whose sum of power would be equal to the power of the expression i.e., the sum of the power would be 10. Hence, ax3y7 would appear in the expansion as the sum 3+7=10.
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Find the sum of following two quantities if the number is reprensented by x
i. Seven multiplied by the sum of nine and a number.
ii. The sum of four and the number.
The sum of two (63 + 7x) and (4 + x) quantities will be 8x + 67.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Let 'x' be the number.
The first number is given as,
⇒ 7(9 + x)
⇒ 63 + 7x
The second number is given as,
⇒ 4 + x
Then the sum of two numbers is given as,
⇒ 63 + 7x + 4 + x
⇒ 8x + 67
The sum of two (63 + 7x) and (4 + x) quantities will be 8x + 67.
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Write an equation of a circle whose
center is (3,-2) and passes through the
point (-5,8).
Answer:
(x-3)^2+(y+2)^2=164
Step-by-step explanation:
radius is
Suppose f(x,y,z) = x^2 + y^2 + z^2 and W is the solid cylinder with height 5 and base radius 2 that is centered about the z-axis with its base at z = -1. Enter \theta as theta.
(a) As an iterated integral,
\displaystyle \iiint\limits_{W} f \, dV = \int_A^B \!\! \int_C^D \!\! \int_E^Fdz \, dr \, d\theta
with limits of integration
A =
B =
C =
D =
E =
F =
(b) Evaluate the integral.
If f(x,y,z) = x²+y²+z² and W is the solid cylinder with height 5 and base radius 2 that is centered about z-axis with its base at z=-1 then the integral value is 432π.
They want f inside the integral so your integer and is: (x² + y² + z²) rdzdrdt
Note that you need another r because you are integrating in cylindrical
coordinates.
conversion equations:
x = rcost
y = rsint
x² + y² = r²
(x² + y² + z²)rdzdrdt becomes (r² + z²)rdzdrdt
W is the solid cylinder with height of 3, radius of 4, and centered about the z-axis, starting from z = -1.
Around the z-axis, cylinders take the forms of circles: x² + y² = r²
This cylinder will have the equation: x² + y² = 16
Its height is 3 so from z = -1 to z = 2
z bounds: -1 <= z <= 2
r bounds (based on the circle): 0 <= r <= 4
t bounds (based on the circle): 0 <= t <= 2pi
\(\int_{0}^{2\pi}\int_{0}^{4}\int_{-1}^{2}(r^{2}+z^{2})rdzdrdt\)
(r² + z²)r = r³ + rz²
dz integral gives: r^3*z + (1/3)rz^3 --> 2r^3 + (8/3)r - (-r^3 - (1/3)r)
= 2r^3 + (8/3)r + r^3 + (1/3)r
= 3r^3 + 3r
dr integral gives: (3/4)r^4 + (3/2)r^2 --> 216
dt integral gives: 216t --> 432pi
Hence we get the integral value as 432π
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TRUE OR FALSE in html5, it is only possible to check a form for valid inputs (say within a given range) once the data has been submitted to the server.
The statement that servers that exist within a data center that is publicly accessible on the internet are referred to as on-premises servers is False.
HTML5
HTML5 is a markup language used for structuring and presenting content on the World Wide Web. It is the fifth and final major HTML version that is a World Wide Web Consortium recommendation. The current specification is known as the HTML Living Standard.
On-premises servers
On-premises servers refer to the group of servers that are under the control of a private entity. This is not like the traditional cloud computing method where resources can be leased to third-party service providers.
The use of the term, on-premises refers to the local installation of these resources as against the cloud type where the resource is on the vendor's server and a client can reach the software via their internet browsers.
Hypertext Markup Language revision 5 (HTML5) is markup language for the structure and presentation of World Wide Web contents. HTML5 supports the traditional HTML and XHTML-style syntax and other new features in its markup, New APIs, XHTML and error handling.
The statement that servers that exist within a data center that is publicly accessible on the internet are referred to as on-premises servers is False.
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"F(x) = 16x4 – 81 = 0 Select all of the zeroes of the function.
3/2
-3/2
3/2i
-3/2i"
Here we want to find all the zeros of the function f(x) = 16*x^4 - 81.
What is function?Function is a relation or expression involving one or more variables.
The zeros are:
x = 3/2
x = -3/2
x = (3/2)*i
x = (-3/2)*i
First, for a given function f(x), we define the zeros as the values of x such that:
f(x) = 0.
Then we must solve:
f(x) = 16*x^4 - 81 = 0
Solving this for x leads to:
16*x^4 = 81
x^4 = 81/16
x^2 = ±√(81/16) = 9/4
x = ±√±(9/4) = ±3/2 and ±(3/2)*i
So there are 4 zeros, and these are:
x = 3/2
x = -3/2
x = (3/2)*i
x = (-3/2)*i
Where the two complex zeros come from evaluating the second square root on
-9/4.
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onsider the line =+7x5y−4. Find the equation of the line that is parallel to this line and passes through the point −−4, 5. Find the equation of the line that is perpendicular to this line and passes through the point −−4, 5.
The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is y = -7/5(x) -53/5
How to find the equation of the lines parallel and perpendicular to 7x+5y = 4?Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)
The slope-intercept form of a straight line is:
y = mx + c
where m is the slope and c is the y-intercept
For perpendicular case:
When the two lines are perpendicular, the product of their slope is -1 i.e.
m₁ x m₂ = -1
where m₁ and m₂ represent the slope of the lines
Let the slope of the given line be m₁ and the slope of the unknown line be m₂
Line1(given):
7x+5y = 4 => y = (-7/5)x + 4/5
Thus, m₁ = -7/5
m₁ x m₂ = -1
-7/5 x m₂ = -1
m₂= 5/7
Line 2(unknown) with the point (−4,-5):
y = mx + c
-5 = 5/7 (-4) + c
-5 = -20/7 + c
c = -15/7
Thus, the equation of the line is y = 5/7(x) -15/7
For parallel case:
When the two lines are parallel, they have equal slope i.e. m₁ = m₂
Line1(given):
7x+5y = 4 => y = (-7/5)x + 4/5
Thus, m₁ = -7/5
m₂= -7/5
Line 2(unknown) with the point (−4,-5):
y = mx + c
-5 = -7/5(-4) + c
-5 = 28/5 + c
c = -53/5
Thus, equation of the line is y = -7/5(x) -53/5
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A study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition. In this study, N = 20
a. 20
b. 10
c. 30
d. 60
In this study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) is at N = 20.
With respect to
n [tex]\leq[/tex] 0.05 N
Given:
If n = 10
10/0.05 [tex]\leq[/tex] N
n = 10
=> 2 Treatments
=> N = 20
This is the study of the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition.
Thus, one-way ANOVA, when Fx = 1
One-way analysis of variance (ANOVA) is used to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups. This guide provides a brief introduction to one-way ANOVA, including test assumptions and when to use this test.
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Calculate the given limit using the outstanding limits................
Answer:
Step-by-step explanation:
57 students choose to attend one of three after school activities: football, tennis or running.
There are 26 boys.
24 students choose football, of which 15 are girls.
18 students choose tennis.
3 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
The probability that the randomly selected student will chose running can be written as 12/57.
How can the the probability this student chose running be calculated?The concept used is the probability which is the likelyhood of an event to take place.
Total number of students was given as 57
Total number of boys that was given was 26
Total number of girls can be written as 57-26=31`
Number of Girls that chose football can be written as 15
Number of boys that chose football can be wriitten as 9
Number of students that chose Tennis can be written as 18
Now, number of students that chose running will be;
Number of students that chose running = 57 - (24 + 18) = 15
Therefopre, probability that a randomly selected student chose running = 15/57
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select all of the roots of x3 2x2 16x 32 1 2 4 1 4 5
Therefore the solution to the given problem is the roots of the given equation are -2,-4,+2
What is equation?A mathematical statement that shows the equality of two mathematical expressions is the definition of an equation in algebra. As an illustration, the two equations 3x + 5 and 14 are joined by the equal sign to get the equation 3x + 5 = 14. Algebraic mathematical equations frequently have one or more variables.
Given:
[tex]x^{3} +2x^{2} -16x-32[/tex]
We are given a cubic polynomial.
Thus find the roots of the polynomial. the roots can be find by solving the equation in terms of x
=> [tex]x^{3} +2x^{2} -16x-32[/tex]
[tex]x^{2}(x +2)-16(x+2)\\(x+2)(x^{2}-16)\\x+2=0\\x=-2\\x^{2}-16=0\\x^2=16\\x=+4,-4[/tex]
=so roots are -2,-4,+4
Therefore the solution to the given problem is the roots of the given equation are -2,-4,+2
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Answer:
-2,-4, 4
Step-by-step explanation:
Raquel is playing a game where she throws a ball that paper called a trash ball into her trashcan the diameter of the top of the trashcan is 20 inches Raquel once the trash ball to have a diameter that is 1/4 the diameter of the top of the trashcan what should the timing of Raquel trash Be?
The diameter of the top of the trash ball is 5 inch.
What is a diameter?A straight line that runs through the middle of a body or figure from the sideways particularly a circle or sphere is called as a diameter of a circle or sphere.
Given that the diameter of top of the trash can is 20 inch.
And the diameter of trash ball is 1/4th of the diameter of trash can.
The diameter of trash ball = 1/4 ( the diameter of trash can )
The diameter of trash ball = 1/4 (20 inch)
The diameter of trash ball = 20/4
The diameter of trash ball = 5 inch.
Therefore, the diameter of the top of the trash ball is 5 inch.
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The complete question is;
Raquel is playing a game where she throws balled-up paper called a “trash ball” into her trash can. The diameter of the top of the trash can is 20 inch . Raquel wants the “trash ball” to have a diameter that is 1/4 the diameter of the top of the trash can. What should the diameter of Raquel's “trash ball” be? .
Arandomsampleof5weeksshowedthatacruise agency received the following number of weekly specials to the Caribbean: 20, 73, 75, 80, 82. a. Compute the mean, median, and mode. b. Which measure of central tendency best describes the data? c. Comment on the distribution of the data.
The mean is 66, the median is 75 and the mode is None.
The center or typical value of a dataset is represented by summary statistics known as measures of central tendency. These metrics, such as the mean, median, and mode, are examples. These statistics, often known as the central location of a distribution, show where the majority of values in a distribution fall.
Given,
No. of observations = 5
Mean = Total observations/ no. of observations = 20+73+75+80+82/5 = 66
Median = Middle most observation arranged from smallest to largest = 75
Mode = Observation which occurs at least twice = None
Mean describes the data the best because it takes the average of all the given data.
The distribution of the data set is scattered and the shape of the frequency graph is going upwards.
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Irlene invested $3,500 in a high-interest savings account for three years. For the first year, the interest rate was 9% compounded semi-annually. For the second year the rate became 5.25% with the same compounding period. For the third year the rate remained the same but it was compounded quarterly. What was the value of the investment at the end of the third year? For full marks your final answer should be rounded to the nearest cent.
Rounded to the nearest cent, the final value of Irlene's investment at the end of the third year is $4,431.78.
What is the easiest way to define interest rate?A percentage of the principal, or the amount loaned, is what a lender charges a borrower as interest. The annual percentage rate, or APR, is the usual unit used to express the interest rate on a loan (APR).
To calculate the value of Irlene's investment at the end of the third year, you can use the formula for compound interest:
FV = PV * (1 + r/n)^(n*t)
Where:
FV is the future value of the investment (what you want to find)
PV is the present value of the investment (the initial amount, $3,500)
r is the annual interest rate (the rate for the third year is 5.25%)
n is the number of compounding periods per year (for the first year it was 2, for the second year it was 2, and for the third year it was 4)
t is the number of years the money is invested (3 years in this case)
Plugging the values into the formula, you get:
FV = $3,500 * (1 + 5.25%/2)^(23) * (1 + 5.25%/4)^(41)
= $3,500 * (1.0263)^6 * (1.0131)^4
= $3,500 * 1.1496 * 1.0534= $4,431.77
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Use quadratic regression and a graphing calculator to find the quadratic function that best fits the data set. Then use the model to forecast the value of the function at the indicated point.(Round your coeffiecients to two decimal places.) Years Abortions Since 1985(per 1000 live births) t3 10 15 16 17 422 389 350 324 325 319 What was the abortion rate in 2005? (Round your answer to the nearest whole number) abortions
The abortion rate in 2005 was 309 per 1000 live births.
Given:
y = Ax²+Bx+C
from calculator : A = 0.13
B = -8.34
C = 423.50
y = 0.13x² - 8.34x + 423.50
Abortion rate in 2005:
x=20
y = 0.13x(20)² - 8.34×20 + 423.50
y = 308.7
y = 309 per 1000 live births.
Hence we get the required answer.
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A car moving at a constant speed passes the timing device at T equals 0 after 8 seconds the car has traveled 840 ft what linear function in the form y equals mx + b represents the distance in feet d, the car has traveled any number of seconds, t, after passing the timing device
Answer:
Answer
d = 840t + 0
Graham graphs the following system of equations to determine its solution.
2x + 4y = 12
2x - y = 2
What is the correct solution?
Please explain step by step to get marked as brainliest!
Answer:
x=2 and y=2
Step-by-step explanation:
2x=12-4y
x=12-4y/2
x=6-2y
substitute equation on in two
2(6-2y)-y=2
12-4y-y=2
12-5y=2
5y=12-2
5y=10
y=10/5
y=2
substitute in the equation 6-2(2)=2
y=2 and x=2
