Answer:
Step-by-step explanation:
Worth of furnishings = $1580
Tax rate = 4.5%
Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10
Amount paid = $1580 + $71.10 = $1651.10
Since the decorator's fee was 12% of the purchases. This will then be calculated as:
y = kx
where,
y = decorators fee
k = percentage of decorators fee on purchases
x = amount paid
y = 12% × $1651.10
= 0.12 × $1651.10
= $198.132
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
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.
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°.
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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
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In a company, 90% of the workers are woman. If 430 people work for the company who aren’t woman, how many workers are there in all? Use pencil and papare. Show two different ways that you can solve this problem
4300 workers are there in all.
What is algebra?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.
Here, we have
In a company, 90% of the workers are women.
430 people work for the company who aren’t women.
% of male = 10%
Now,
10% of x = 430
10÷100 × x = 430
x = 4300
Hence, 4300 workers are there in all.
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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
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
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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
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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
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What is the slope of this graph?
Responses
Answer:
slope = -4
Step-by-step explanation:
A (-2,5)
B (0, -3)
slope = (-3-5)/(0-(-2)
-8/2
-4
An electronic manufacturer determine that the profit P (in dollar) obtained by producing x unit of a DVD player and y unit of a DVD recorder i approximated by the model P(x, y) = 8x 10y − (0. 001)(x2 xy y2) − 10, 000. Find the production level that a maximum profit. What i the maximum profit?
The production level that a maximum profit is 186000 and the maximum profit will at the points of (200, -4000) , under the concept of absolute maximum value.
The P(x, y) = 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000, the first partial differentiate of the given equation with respect to x and y,
Px= ( 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000) = 8-0.001(2x-y) ....2
Py= 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000) = 10-0.001(x-2y) ... 3
Considering the above equation to be equal to zero :
=>8-0.001(2x-y) =0 =>0.001(2x-y) =8 .....4
=>10-0.001(x-2y) =0 =>0.001(x-2y) = 10 ...5
Solving the equations 4 and 5 we get the lues of x and y we get are :
x= 2000, and y = -4000 , Now the partial differentiate for the equations 2 ad 3 are with respect to x and y :
pxx(x,y)=-0.002
pyy(x,y)= 0.002
pxy(x,y) =-1
The discriminant of the function wil be at (2000,-4000):
D = 0.002*-0.002 -(-1)^2 =-1.0004 ,here D <0, so the critical values (200, -4000) reaches the maximum value .So the production level will be :
P(2000, -4000) = 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000 = 186000
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pls help right now I need help
giving brainliest
this is reading btw
Answer:
The answer is A
Step-by-step explanation: I'm so smart
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}
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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.
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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.
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50 Points!!! Are RHS and HL triangles the same? Yes or no? Explain.
Answer:
Yes------------------
RHS and HL refer to same thing.
A right angled triangle has one hypotenuse and two sides.
If the hypotenuse and one side of one triangle is congruent to hypotenuse and one side of another triangle, then the two triangles are congruent.
We know sides of a right triangle are also called the hypotenuse and legs. RHS is also called HL because they both refer to hypotenuse and one side or leg.
The F distribution's curve is positively skewed.
T/F
Answer: True
Step-by-step explanation:
-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞
The value of F is always positive or zero. It never has negative values.
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
the hudson valley renegades stadium hold a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. how many tickets were sold during this time?
Answer:
Step-by-step explanation:
4,505 tickets were sold 219 times.
4,505 x 219
The answer is 986,595
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.
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%
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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
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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.
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Explain how you can model 3 x 2/4
The value of [y] will be 1.
What is a expression? What is a mathematical equation? What is degree of a equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Degree of equation is the highest power of x in the given equationGiven is the following expression -
y = 2 x (2/4)
We can write the value of [y] as -
y = 4/4 = 1
y = 1
Therefore, the value of [y] will be 1.
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serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented .
Serena's company implemented the process of Delayering.
Process of Delayering:To improve operational efficiency, delayering is the act of removing levels of hierarchy between the top and bottom levels of staff.
Delayering often involves the removal of intermediate managers, giving top managers better access to the business as a whole and fostering the necessary openness.
The delayering process has benefits and drawbacks of its own. Although the employer can lower pay costs, the company's ability to make decisions may suffer as a result of top managers' diminished visibility.
Delayering is helpful for reducing bureaucracy and increasing flexibility in the organizational structure. Additionally, it enhances internal communication and participation. Other advantages include increased drive and empowerment.
Given that
Serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented.
By the given observation about Delayering, we can conclude that the company implemented the process of Delayering.
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evaluate the sum of 4.2 and 466.99
The sum of decimals 4.2 and 466.99 evaluates to 471.19
How to evaluate the sum of decimals?
Decimals are numbers that consist of two parts namely, a whole number part and a fractional part separated by a decimal point e.g 2.35
Given: 4.2 and 466.99
To evaluate the sum of 4.2 and 466.99, you simply need to add the two numbers. Arrange the numbers as shown below and add as you would add other numbers.
4.2
466.99
.................
471.19
................
Therefore, the sum 4.2 and 466.99 is 471.19
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О
A
13x + 13
7x+7
60°
с
B
Answer:
x = 9
Step-by-step explanation:
(7x + 7) + 60 = 13x + 13 (exterior angle)
7x + 67 = 13x + 13
6x = 54
x = 9
On a number line, point d is at -6, and point e is at 8. point f lies between points d and e. if is , where does point f lie on the number line? point f is at on the number line.
The point F lies on 4.5 in the number line.
What is the number line?
The number line is a One dimensional representation of point referring by a number only.
We know that if a point divides a line joining the points at x, y in the number line respectively in m:n ratio then that point lies on
= (my+nx)/(m+n) in the number line.
Here in the given problem that,
Point D lies on -6 in the number lin
Point E lies on 8 in the number line
And F lies between D and E points and DE:EF = 3:1
So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.
So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5
Hence, the point F lies on 4.5 in the number line.
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show that if f is a function from s to t, where s and t are finite sets with |s| > |t|, then there are elements s1 and s2 in s such that f(s1)
T|=|S|⟹ there is bijection F:S→T.
What are bijection function?A bijection is a function between the elements of two sets in mathematics that is also referred to as a one-to-one correspondence, an invertible function, or a bijective function.
In this function, each element of one set is paired with exactly one element of the other set, and each element of the second set is paired with exactly one element of the first set.
No elements are left unpaired. A one-to-one (injective) and onto (surjective) mapping of a set X to a set Y is known as a bijective function, or f: X Y in mathematics.
One-to-one function (an injective function; a bijection from the set X to the set Y has an inverse function from Y to X) should not be confused with one-to-one correspondence. X and Y must be finite if.
According to our question-
The function f:ST |S||T| has an injective and not a surjective nature.
Assume an injective function exists: g:TS|T||S|. |T|=|S|
(this follow from the Cantor-Bernstein theorem).
|T|=|S|⟹ F:S:T has a bijection.
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Determine which integer will make the inequality 5x + 12 > 2x + 6 false.
S:{−3}
S:{3}
S:{−1}
S:{1}
Answer:
-3
Step-by-step explanation:
we just fill in x to see if it is true
5(-3)+12>2(-3)+6
-15+12>-6+6
-3>0
false
5(3)+12>2(3)+6
15+12>6+6
27>12
true
5(-1)+12>2(-1)+6
-5+12>-2+6
7>4
true
5(1)+12>2(1)+6
5+12>2+6
17>8
true
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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.
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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.
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