Answer:
Since the only even prime number is 2, we can say that its reciprocal is 1 2 \dfrac{ 1 }{ 2 } 21. By checking, we get 2 × 1 2 = 1 2 \times \dfrac{ 1 }{ 2 } = 1 2×21=1.
Step-by-step explanation:
Which equation represents the partial sum of the geometric series? 125 + 25 + 5 + 1.
The correct option which represents sum expressed in sigma notation is A.
What is sigma notation?
A series is represented in an exceedingly compact type, referred to as summation or sigma notation. The greek capital letter, ∑ , is employed to represent the total.
The series 4+8+12+16+20+24 is expressed as ∑n= 4n . The expression is browse because the total of 4n as n goes from one to six . The variable n is termed the index of summation.
The geometric series.
Main body:
∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.
Now, Calculate the partial sum of the geometric series as;
The geometric series = ∑ 125 (1/5)ⁿ⁻¹
Substitute n = 1, 2, 3, 4, we get;
= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹
= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³
= 125 + 25 + 125/25 + 125/125
= 125 + 25 + 5 + 1
Thus, The partial sum of the geometric series is;
⇒ 125 + 25 + 5 + 1
Option A is true.
The correct question is in the figure.
To know more about sigma notation ,, visit:
brainly.com/question/26243301
#SPJ4
use the following probability distribution to answer questions 1 and 2. x -15 -10 -5 0 5 10 15 p( x
The Value of probability for the distribution is 0.24 and -0.29
Probability distribution is a statistical function that describes all the possible values and probabilities for a random variable within a given range
F(x) = P(X ≤ x) = P(a < X ≤ b) = f(b) - f(a)
The Probability Distribution is given
(1) By looking at the table ,
Value P(x = 0 ) at x =0 is 0.24
Hence , P(x=0) = 0.24
Option b is correct
(2) P(-10 ≤x ≤ 15) = P(x = 15) - P(x = -10)
By using the table ,
=> 0.05 - 0.34
=> -0.29
Option c is correct.
To know more about Probability distribution here
https://brainly.com/question/14210034
#SPJ4
if A shop owner offered a 20% discount off the regular price of a mirror. The amount of the
discount is $3.
What is the regular price of the mirror?
Pls Help
. If g = -4 and h = -5 find the value of
a) 4gh
b) g²h
c) 5h - g²
Answer:
a) 80
b) -80
c) -41
Step-by-step explanation:
For g = -4 and h = -5, you want the values of ...
4ghg²h5h -g²To evaluate these expressions, put the value of the variable where the variable is, and do the arithmetic. A calculator can help.
a) 4gh= 4(-4)(-5) = 80
b) g²h= (-4)²(-5) = -80
c) 5h -g²= 5(-5) -(-4)² = -25 -16 = -41
1. Tyler was driving to the grocery store. As he was turning into the parking lot he was rear-ended by Harold. Tyler's head hit the steering wheel and he was taken to the hospital by ambulance. Harold failed to pay his insurance premium for several months and his policy was canceled. What type of automobile insurance coverage(s) is needed in this situation?
The type of automobile insurance coverage that is needed in this problem is of:
Liability coverage.
What are the types of car insurance coverage?The types of car insurance coverage are listed as follows:
Liability coverage.Uninsured and underinsured motorist coverage.Comprehensive coverage.Collision coverage.Personal Injury coverage.In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.
This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.
More can be learned about automobile insurance coverage at https://brainly.com/question/15201556
#SPJ1
4-2/3x=2/5 rewright with no fractions
Answer: x= 27/5
Step-by-step explanation:
This equation can rewrite as -2/3x + 4 = 2/5
We separate x by subtracting 4 from both sides
-2/3x = -20/5 +2/5
-2/3x = -18/5
Then we divided both sides by -2/3
Ad we will get x= 27/5
Determine the critical value za2 that corresponds to a 90% confidence interval.
A. 0.82
OB. 1.645
OC. 1.28
D. 1.34
The value of [tex]z_{\alpha /2}[/tex] that corresponds to a 90% confidence interval is
B. 1.645What is confidence level?The confidence level is the likelihood that, if you repeat your experiment or resample the population in the same manner, you will come close to arriving at the same estimate.
The estimate's upper and lower bounds are what make up the confidence interval for a particular level of confidence.
For 90%confidence interval = 0.9
significance level, α = 1 - 0.9 = 0.10
For two tailed test, α/2 = 0.05
using z table
0.0505 = -1.64
0.05 = x
0.0495 = -1.65
solving for x by interpolation
(0.0505 - 0.05) / (0.05 - 0.0495) = (-1.64 - x) / (x - -1.65)
0.0005(x + 1.65) = 0.0005(-1.64 - x)
x + x = -1.64 - 1.65
x = -1.645
from z tables at 90% confidence interval in two tailed test the score is found to be 1.645
Learn more about confidence interval at:
https://brainly.com/question/15712887
#SPJ1
2% of x =1 what is x?
Answer:
x =50
Explanation:
[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{x}[/tex]
Cross multiply 100 and 1, which makes 100. Then cross divide 100 by two, which makes 50.
Then check if 2% of 50 is 1, which is true.
x = 50
33. Let M2x2 be the vector space of all 2x 2 matrices, and define T : M2x2 → Mo by T(A) A + AT, where a. Show that T is a linear transformation. b. Let B be any element of M2 c. Show that the range of T is the set of B in M2x2 with the d. Describe the kemel of T such that BT B. Find an A in M2xz such that T(A) B property that B B
a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.
b) T(A)=B, if B be any element of M₂
c) Range of T=={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
What is meant by matrix?A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.
A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.
Define T: [tex]M_{ 2*2}[/tex] ⇒ [tex]M_{ 2*2}[/tex] by T(A)=A+[tex]A^{T}[/tex]
a) Let T is a linear transformation
Consider K₁A₁+K₂A₂ ∈ [tex]M_{ 2*2}[/tex]
T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)[tex]( K₁A₁+K₂A₂)^{T}[/tex]
= K₁T(A₁)+K₂T(A₂)
T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)
Therefore, T is a linear transformation.
b) Let B∈ [tex]M_{ 2*2}[/tex] such that [tex]B^{T}[/tex]=B
Therefore, B is a symmetric matrix.
Let A=(1/2)B∈ [tex]M_{ 2*2}[/tex]
T(A)=A+[tex]A^{T}[/tex]
=(1/2)B+[tex](1/2B)^{T}[/tex]
T(A)=B
A=(1/2)B such that T(A)=B
c) Range of T is the set of B in [tex]M_{ 2*2}[/tex], [tex]B^{T}[/tex]=B
T( [tex]M_{ 2*2}[/tex])={B∈ [tex]M_{ 2*2}[/tex]/ [tex]B^{T}[/tex]=B}
d) Kernel of T={A∈ [tex]M_{ 2*2}[/tex]/T(A)=0)
={A∈ [tex]M_{ 2*2}[/tex]/A+[tex]A^{T}[/tex]=0}
={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
To know more about matrix, visit:
https://brainly.com/question/28180105
#SPJ1
Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.
T is a linear transformation, therefore demonstrate it.
b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.
c) Explain the T kernel.
a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.
Additions: T(A+B) = A+B+A+B T = A+B+A T +B
T = (A + A T ) + (B + B T ) = T(A) + T (B).
Scalar multiplication
T(c · A) = (c · A)
T = c · A
T = c · T(A) (A).
b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.
T = \s1 \s2 \sB + \s1 \s2 \sB = B.
c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.
If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.
To know more about vector space visit:
https://brainly.com/question/13058822
#SPJ1
If the rate of inflation is 2.8% per year, the future price p (t) (in dollars) of a certain item can be modeled by the following exponential function, where it is the
number of years from today.
p(t) = 800 (1.028)
Find the current price of the item and the price 10 years from today.
Round your answers to the nearest dollar as necessary.
Current price:
Price 10 years from today: $
Para calcular la tasa de inflación, debemos seguir una serie de pasos.
Para ello, hemos propuesto un ejemplo en el que, paso a paso, calcularemos para un caso real la tasa de inflación.
Imaginemos que hacemos un listado de las compras realizadas en un año determinado, el cual tomamos como base. Esta compra incluye, a la hora de elaborar un listado, una serie de productos, todos ellos con sus respectivos precios. Productos que, en este caso, son barras de pan, cafés, servicios de taxi y un pantalón de vestir.
En primer lugar, lo que debemos hacer es calcular el gasto de cada producto, para ello, multiplicando las cantidades de cada producto o servicio adquiridas, por el precio que se pagó por cada una de ellas, así como por los servicios.
En este caso, sería lo siguiente:
Barras de pan: 1,50€ x 150 = 225€.
Cafés: 2,40€ x 100 = 240 €.
Taxi: 5€ x 40 = 200€.
Pantalón: 120€.
espero haberte ayudado
SOLVE ALL THREE OF THE QUESTIONS BY SUBSITITUON AND SHOW YOUR WORK. I will mark you brain list PLEASEERE
Answer: The correct answers are:
8) x=5/2 and y=0
9) An infinite number of solutions
10) x=1/4 and y=-1/2
Step-by-step explanation:
QUESTION 8:
Rewrite equations
y+3y=0
2x-5=-y
2x+y=5
Solve for y
y+3y=0
4y=0
y=0
Substitute 0 for y in 2x+y=5
2x+0=5
2x=5
Divide both sides by 2
x=5/2
x=5/2 and y=0
QUESTION 9:
Rewrite equations
3x-y=5
y=3x-5
Linear equation
a1/a2 = b1/b2 = c1/c2
3/-3 = -1/1 = -5/5
-1 = -1 = -1
Answer: An infinite number of solutions
QUESTION 10:
Rewrite equations
2x+y=0
4x-2y=2
Substitute and Simplify
2(2x-y)=2⋅1
2x-y=1
Solve for y
2x+y=0
y=-2x
Substitute y=-2x in 2x-y=1
2x-1(-2x)=1
2x+2x=1
4x=1
x=1/4
Substitut3 1/4 for x:
y=-2x
y=-2(1/4)
y=-1/2
x=1/4 and y=-1/2
Please remember to vote this answer as Brainliest if I earned it!
Three bells ring at the same time.
After that, the first rings every three
hours, the second bell rings every 4
hours, and the third bell rings every 5
hours. After how many hours will
they ring together?
Is the line shown on the scatter plot a good line of fit?
Answer:
It is the first answer.
Step-by-step explanation:
The second answer is incorrect, because this has a negative slope which means that it has a negative association.
The third one is wrong because you can see that it does show that most of the points are clustered around a path that would be a line through the points.
The line of best fit does not have to go through any of the original points.
need help with finding angle
Answer:75
Step-by-step explanation:
Since the total angle in the rhombus adds to 360, we minus the 2 110 and get 140. The 65 degrees is reflected on the other side, so we subtract 65 from 140, leaving 75.
1/10 divided by 5 2/5
Answer: 1/54
Step-by-step explanation:
5 2/5 = 27/5
1/10 divide by 27/5 =
1/10 times 5/27 =
5/ 270 = 1/54
a very long straight wire carries steady current in the positive direction a closed mathematical curface ahs length along the z direction
According to Fleming's left hand rule, the thumb points along + y direction, so the magnetic force will be directed along + y axis (or in the direction of flow of current.
From relation vector F= qvB [i (–k )] = + qvB(j)
Magnetic force vector F along + y axis.
The Fleming Left-hand Rule According to Fleming's left-hand rule, if we stretch the thumb, middle finger, and index finger of the left hand to make an angle of 90 degrees (perpendicular to each other) and the conductor placed in the magnetic field experiences the magnetic force.
This rule was invented in the late 1800s by John Ambrose Fleming as a simple method of determining the direction of electric current in an electric generator or the direction of motion in an electric motor.
To learn more about Left-hand Rule
brainly.com/question/28061399
#SPJ4
whats the percent? ............
Answer: 32%
Step-by-step explanation: add up the total and divide 16 by the total number of all people surveyed
Roman numeral representing least 3 digit number is??
The solution is Option 4.
Roman numeral representing the least 3 digit number which is 100 is C
The Roman numeral for 100 = C
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the least 3 digit number be A
Now , the value of A = 100
where 100 is the lease 3 digit number
And , the Roman numeral for 100 is given by C
Therefore , the value of 100 in Roman Numeral is C
Hence , The Roman numeral representing the least 3 digit number which is 100 is C
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ1
Part 1: Parallel & Skew Lines & Planes
1.) Name a segment skew to line AB.
2.) Name a segment parallel to line AD.
3.) Name a plane parallel to plane DCH.
4.) Name a plane that is NOT parallel to plane EFG.
1. The skew segment to line AB is of: GF.
2. The parallel segment to line AD is of: EH.
3. The plane parallel to plane DCH is of: ABF.
4. The plane that is not parallel to plane EFG is of: EFB.
What are the skew/parallel lines and planes in this problem?Skew lines are lines that share these two features:
The lines are not parallel.The lines are not intersecting.Hence the skew line to line AB is of:
Line GF.
Parallel lines are planes are defined as lines or planes that never intersect as they have the same orientation and inclination, hence:
Line EH is parallel to line AB.Plane ABF is parallel to plane DCH.Plane EFB is not parallel to plane EFG, as they have the common vertices E and F.More can be learned about skew lines at brainly.com/question/2603508
#SPJ1
what is the slope of line g
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -3 }{ 1 } \implies \text{\LARGE - 3}[/tex]
The table below gives the number of days it takes for packages to be delivered from an online retailer and the probability associated with each number of days. Number of Days Probability 0.01 0.14 0.46 0.25 0.14 4 5 6 A. Find the expected value of the random variable. B. Find the variance of the random variable. C. Find the standard deviation of the random variable.
The expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.
Given that,
The number of days it takes for packages to arrive from an online shop, together with the probability that it will happen, are provided in the table below.
The table is
Number of days Probability
A-3 0.01
B-4 0.14
C-5 0.46
D-6 0.25
E-7 0.14
We have to find the expected value of the random variable, the variance of the random variable and the standard deviation of the random variable.
We know that,
The random variable's predicted value is now shown.
Expected value = summation (x ×P(x))
= 3×0.01+4×0.14+5×0.46+6×0.25+7×0.14
= 5.37
Now the variance of the random variable
Variance =summation ((x - mean)² ×P(x))
= (3-5.37)² × 0.01 + (4-5.37)² × 0.14 + (5-5.37)² × 0.46 + (6-5.37)² × 0.25 + (7-5.37)² × 0.14
= 0.8531
The random variable's standard deviation is now available.
σ = √(0.8531)
= 0.9236
Therefore, the expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.
To learn more about variable visit: https://brainly.com/question/17344045
#SPJ4
Which is equivalent to (3^4n)^1/2
The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.
Which expression is equipped to the given expression?It follows from the task content that the expression which is equivalent to the given expression is to be determined.
Since the given expression is;
( 3^4n ) ^(1/2)
However, it follows from the power of power law of indices that the expression above can be written as follows;
( 3 ) ^ (4n × 1/2)
= ( 3 )^2n
Therefore, the required equivalent expression is; ( 3 )^2n.
Read more on laws of indices;
https://brainly.com/question/170984
#SPJ1
By percent, how much smaller does the sale of horror books appear to be than the sale of fantasy books? How much smaller is it in reality? a. Horror sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller. B. Horror sales appear to be only 80% of fantasy sales, but they are actually only about 4% smaller. C. Horror sales appear to be only 67% of fantasy sales, but they are actually only about 15% smaller. D. Horror sales appear to be only 20% of fantasy sales, but they are actually only about 13% smaller
Although horror book sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller, that is, option a.
Here, we are given a graph as shown in the figure below.
Just by looking at the graph it appears that that horror books are 50% of fantasy book sales.
From the graph we have the following data-
Number of horror books sold = 55
Number of fantasy books sold = 60
Number of extra fantasy books than horror books = 60 - 55
= 5
Thus, in percentage terms horror books will be - (5/60) % smaller than fantasy books
= 8.33%
Therefore, although horror book sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller, that is, option a.
Learn more about bar graphs here-
https://brainly.com/question/24741444
#SPJ4
Your question was incomplete. Check for the missing graph below.
In the triangle, if the measure of angle R S T equals 64 degrees., then what is the measure of angle R P T?
The measure of angle RPT is 122° if the measure of an angle RST is 64°.
What is meant by an angle?In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Angle can also refer to a rotation or the measurement of an angle. This measurement is the ratio of the length of a circular arc to its radius.
The total of a triangle's angle measurements is 180°. Because ∠RST = 64°, the other two angles must equal to 180-64 = 116°.
The diagram shows that RST is an isosceles triangle. This suggests that the basis angles, SRT and STR, are equivalent, with each equaling 116/2 = 58°.
RP will cut RST, and PT will cut STR.
PTR = 58/2 = 29° and PRT = 58/2 = 29°.
This suggests that the base angles are 29+29 = 58°, leaving RPT at 180-58 = 122°.
To know more about angle, visit:
https://brainly.com/question/28451077
#SPJ1
In a class of 94 students taking mathematics biology and chemistry, equal number of students are taking only 2 subjects. The number of students taking maths,biology and chemistry are40,35 and38 respectively. Seven students are taking maths and biology. Find
I. The number of students taking all courses
II. The number of students taking maths biology and chemistry
III. The number of students taking biology and chemistry
By using Venn Diagram, it can be calculated
I) The number of students taking all courses = 2
II) The number of students taking mathematics biology and chemistry = 2
III) The number of students taking biology and chemistry = 5
What is a Venn Diagram?
Venn Diagram is a diagram used to show the relationship between two or more sets.
This problem can be solved using Venn diagram
The Venn diagram has been attached here
Number of students taking maths and biology =7
Number of students taking chemistry and biology = 7
Number of students taking maths and chemistry = 7
Let the number of students taking all three courses be x
Number of students taking Maths = 40
Number of students taking maths only = 40 - 7 - 7 + x = 26 + x
Number of students taking Biology = 35
Number of students taking Biology only = 35 - 7 - 7 + x = 21 + x
Number of students taking Chemistry = 38
Number of students taking chemistry only = 38- 7 - 7 + x = 24 + x
Number of students taking maths and biology only = 7 - x
Number of students taking maths and Chemistry only = 7 - x
Number of students taking chemistry and biology only = 7 - x
Total number of students = 26 + x + 21 + x + 24 + x + 7 - x + 7 - x + 7 - x + x
= 92 + x
By the problem,
92 + x = 94
x = 94 - 92
x = 2
I) The number of students taking all courses = 2
II) The number of students taking mathematics biology and chemistry = 2
III) The number of students taking biology and chemistry = 7 - 2 = 5
To learn more about Venn Diagram, refer to the link-
https://brainly.com/question/2099071
#SPJ4
15 POINTS,RELATION OF A FUNCION(pic provided)
The relation that represents a function is option 1 which is in the image attached below.
What is a Function?If a graph of a relation represents a function, every set of x-values that is plotted on the graph will each correspond to exactly one y-value, which implies that a function cannot have an x-value that has two corresponding y-values that are plotted against it.
In the image given, the first graph shows a relation whereby every x-value has only one possible y-value it corresponds to.
The other graphs have at least an x-value that has more than 2 corresponding y-values, therefore, the first graph is a relation that represents a function and it is given in the attachment below
Learn more about a function relation on:
https://brainly.com/question/10439235
#SPJ1
Based on statistics from a worldwide health organization, in 2005 there were 29.9 million people worldwide living with a certain disease, and 1.5 million deaths from the disease. By 2015, the number of people living with the disease had fallen to 28.8 million, and 2.6 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw. Part: 0/3 Part 1 of 3 The percent change in people living with the disease was [%, rounded to the nearest tenth of a percent 6 Thrice a number is 60 less than 5 times the number. Find the number.
The percent change for people living with the disease is 36.78% and with the number of deaths is 60%
In 2005 there were 29.9 million people worldwide living with a certain disease
By 2015, the number of people living with the disease had fallen to 28.8 million
Decrease in number of people living with a disease = 29.9 - 28.8 = 1.1
decrease in percentage of people living with a disease = (1.1/29.9)/100 = 36.78%
In 2005, 1.5 million deaths from the disease
In 2015, 2.6 million deaths were reported
change in number of deaths from the disease = 2.6 - 1.5 = 0.9
Change in percentage = (0.9/1.5) 100 = 60%
Therefore, the percent change for people living with the disease is 36.78% and with the number of deaths is 60%
To learn more about percentage refer hetre
https://brainly.com/question/843074
#SPJ4
A salesperson at a jewelry store earns 8% commission each week. Last week, Heidi sold $710 worth of jewelry . How much did she make in commission ? How much jewelry did the jewelry store make from her sales?
56.8 is the commision
Help please thank you!
The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The two sets are given below.
F = {v | v < 4}
H = {v | v ≥ 7}
The sets that represent the union of set F and set H will be given as,
F∪H = (-∞, 4) ∪ [7, ∞)
The sets that represent the intersection of set F and set H will be given as,
F∩H = {null}
The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.
More about the sets link is given below.
https://brainly.com/question/8053622
#SPJ1
Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. The article "Biomechanics in Augmentation Rhinoplasty" (J. of Med. Engr. and Tech., 2005: 14–17) reported that for a sample of 15 (newly deceased) adults, the mean failure strain (%) was 25.0, and the standard deviation was 3.5. a. Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. b. Predict the strain for a single adult in a way that conveys information about precision and reliability. How does the prediction compare to the estimate calculated in part (a)?
Main answer: mean = 23
supporting answer: Agraphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.
body of the answer: given total number of samples=15
percentage of failure stain=25 percent=0.25
standard deviation=3.5
a. formula used=z=x- mean/standard deviation
p(0.25<x<0)
z=25-mean /3.5
0.6*3.5=25-mean
mean=25-0.6*3.5
=22.9
since A(0.25)=0.6
b. for 15 adults the mean is 23
for one adult =23/15
=1.533
to learn more about normal distrubution link
https://brainly.com/question/23418254#:~:text=Expert-Verified%20Answer&text=Most%20values%20are%20close%20to%20the%20mean%20value.,curve%20called%20the%20normal%20curve
#SPJ4
The mean for the given statistic problem is 23.
The strain for a single adult in a way that conveys information about precision and reliability is 1.533.
What is normal distribution?
A graphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.
Given total number of samples=15
percentage of failure stain=25 percent=0.25
standard deviation=3.5
a. formula used=z=x- mean/standard deviation
p(0.25<x<0)
z=25-mean /3.5
0.6*3.5=25-mean
mean=25-0.6*3.5
=22.9
since A(0.25)=0.6
b. For 15 adults the mean is 23
For one adult =23/15
=1.533
To learn more about normal distribution, link
brainly.com/question/23418254
#SPJ4
