solve for the matrix x if ax(d+bx)−1=c. assume that all matrices are n×n and invertible as needed, you can enter the inverse of a matrix A as A^(-1)

Answers

Answer 1

The answer is : [tex]X= (A^{-1} C -B^{-1})D[/tex]

Matrix is an arrangement of numbers into rows and columns. A matrix is a rectangular arrangement of numbers into rows and columns.Matrix is a set of numbers arranged in rows and columns so as to create a rectangular array. The numbers are said entries of the matrix. Matrices have huge applications in engineering, physics, economics, and statistics as well as in various branches of mathematics. Matrices have important applications in computer graphics, where they have been used to represent rotations and other transformations of images.

According to the question,

AX [tex](D^{-1} + X^{-1} B^{-1} )[/tex] =C

⇒X[tex](D^{-1} + X^{-1} B^{-1} )[/tex]= [tex]A^{-1} C[/tex]

⇒[tex]XD^{-1} + XX^{-1} B^{-1}[/tex] = [tex]A^{-1} C[/tex]

⇒ [tex]XD^{-1} +B^{-1}[/tex] = [tex]A^{-1} C[/tex]

⇒ [tex]XD^{-1} = A^{-1} C -B^{-1}[/tex]

⇒  [tex]X= (A^{-1} C -B^{-1})D[/tex]

So, the answer is : [tex]X= (A^{-1} C -B^{-1})D[/tex]

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Related Questions

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people.? (Helping middle schoolers)

Answers

it is 57 understand the way is down there

Step-by-step explanation:

j

k

h

a

h

a

Given a standard deviation of sigma equals 15 and a sample size of n equals 16, calculate the standard deviation of the sampling distribution.

3.750

1.067

0.938

4.131

Answers

The standard deviation of the sampling distribution is; Option A: 3.750

How to calculate the sample standard deviation?

Standard deviation is defined as a measure of how spread out numbers usually are. It is further said to be the square root of the Variance, and then the variance is the average of the squared differences from the Mean.

Now, we are given;

Population standard deviation; σ = 15

Sample size; n = 16

Formula for sample standard deviation in this regards is;

s = σ/√n

Plugging in the relevant values gives;

s = 15/√16

s = 15/4

s = 3.750

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Toby draws an array that has 8 columns with 3 counters in each row. Bai draws an array that has 3 columns with 8 counters. How many counters are there in all

Answers

Answer:48 counters

Step-by-step explanation:8x3=2, 3x8=24, 24+24+48

 

Ronald carved 3/3/8 of a totem pole. he says that the totem pole is 3/4 completed.


Part A if h represents the height in feet of the finished totem pole ,then 3/4h=3/3/8 represents this situation. Which equations show the use of the reciprocal to write an equivalent equation that can be used to solve for h?

Answers

The height of the totem tree after solving the equation is 1/6 units

What is an equation?

An equation is an expression that shows how numbers and variables relate with each other.

Mathematical operations include addition, subtraction, division and multiplication. Mathematical operations are used in equations

Let h represent the height of the totem pole.

Ronald carved 3/3/8 of a totem pole. he says that the totem pole is 3/4 completed. Hence:

(3/4)h = 3÷3÷8

(3/4)h = 3 * (1/3) * (1/8)

(3/4)h = 1/8

Cross multiplying gives:

h = (4 * 1)/(3 * 8)

h = 1/6

The height of the tree is 1/6 units

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Which of the following gives the area, A
, of a circle with a diameter of 6?
A
A=π(3)
B
A=π×2(3)
C
A=π(3)2
D
A=π×2(3)2

Answers

The area of a circle with a diameter of 6 is A=π(3)². Option C

How to determine the area of the circle

It is important to note that the area of a circle is expressed with the formula;

A = πr² or πd²/4

Where;

A is the area of a circleπ takes the value 3. 14 or 22/7r is the radius of the circled is the diameter of the circle

From the information given, we have that the diameter is 6

Radius = diameter/2 = 6/ 2 = 3

Substitute the value into the formula for area

Area, A = π(3)²

Hence, the area of the circle is  π(3)²

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The radius of a cylindrical construction pipe is 2 ft, and its length is 19 ft. Answer the parts below. Make sure you're using the correct units in your answer.
a. Find the exact volume of the pipe. Write your answer in terms of pi.

Answers

The volume of the cylindrical pipe in terms of π is 76π ft³.

The volume of the cylindrical pipe using ALEKS calculator is 238.76 ft³.

How to find the volume of a cylinder?

The radius of a cylindrical construction pipe is 2 ft, and its length is 19 ft. The exact volume of the cylindrical pipe can be found as follows:

The answer is in terms of π.

Therefore,

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

volume of the cylindrical pipe =  πr²h

where

r = 2 fth = 19 ft

volume of the cylindrical pipe =  π × 2² × 19

volume of the cylindrical pipe =  π × 4 × 19

volume of the cylindrical pipe =  76π ft³

Hence, let's approximate the volume of the cylindrical pipe using π in an ALEKS calculator.

Therefore,

volume of the cylindrical pipe = 76 × π = 238.761041673 = 238.76 ft³

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A shopkeeper bought 30 pairs of jeans and 10 T-shirts for $2170. Each of jeans cost twice as much as each T-shirt. If he had sold them more than 20% than the price he paid for them, what would the selling price of a T-shirt be?​

Answers

Answer: The selling price of a T-shirt would be $107.

Step-by-step explanation: The amount paid by the shopkeeper for the Tshirts would be $2170 ÷ 10 = $217

Since the jeans cost twice as much as the T-shirts, we can multiply the cost of the T-shirts by 2 to find the cost of a pair of jeans: $217 x 2 = $434.

We know that the shopkeeper sold the clothes for more than 20% more than he paid for, i.ee, 100 - 20 = 80.

To find the selling price of a T-shirt, we'll divide the cost of the T-shirts by the markup percentage as a decimal: $217 / (80/100) = $107.

If the expression 4[tex]\frac{4\sqrt{81x^4y^2}}{x^-1/2y^-1}[/tex] is written in form ax^by^c, then what is the product of a b c?

Answers

The product of a, b and c is equal to 18.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is are the expression as -

[tex]$\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }[/tex]

The given expression is -

[tex]$\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }[/tex]

We can rewrite it as -

[tex]$\frac{(81x^{4} y^{2}) ^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = \frac{(3^{4} x^{4} y^{2})^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = 6xy^{\frac{1}{2} } xy[/tex]

Now, we can write -

[tex]6xy^{\frac{1}{2} } xy = 6x^{2} y^{(\frac{1}{2} + 1) } = 6x^{2} y^{(\frac{3}{2}) }[/tex]

On comparing, we get -

a = 6

b = 2

c = 3/2

So -

a x b x c = 6 x 2 x 3/2 = 18

a x b x c = 18

Therefore, the product of a, b and c is equal to 18.

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Find the distance between each pair of points.
5)
2
AR
6) (6,-3), (2,-2)

Answers

Therefore . the solution of the given problem of distance comes out to be it follows that there are √17 units separating the two points.

Define distance.

Distance is a measure of an object's travels. Distance, put simply, is what an item travels over in a particular amount of time, or t. The shortest path an object can take while moving is displacement, nevertheless. We commonly incorporate the physical quantities of distance and displacement.

Here,

provided are (6, -3) & (2, -2)

Now, the separation between points (a, b) & (c, d) is

d= √(c-a)² + ( d- b) ²

Therefore, d= √(-3+2)² + (2-6)²

d= √ 1 + 16

d= √17

It follows that there are √17 units separating the two points.

Therefore . the solution of the given problem of distance comes out to be it follows that there are √17 units separating the two points.

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situation #4
It is known that ∆BIG~∆FUN.


4a. Angle N is congruent to which
angle? [Letter Only]



4b. Using situation #4, what should
go in the place of the smiley face in
this proportion?

NF ☆ ☾
---- = ---- = ----
☻ IB ♡


4c. Using situation #4, what should
go in the place of the moon in this
proportion?

NF ☆ ☾
---- = ---- = ----
☻ IB ♡

Answers

On solving the provided question, we can say that triangle BIG and triangle FUN are similar to each other and are congruent, so angle N is congruent to angle G.

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have been provided with that

triangle BIG and triangle FUN are similar to each other and are congruent.

Angle N is congruent to angle G.

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y = 4/5x + 1 A. slope: 4/5; y - intercept: -1 B. slope: 4/5; y - intercept: 1 C. slope: 5/4; y - intercept: 1 D. slope: 5/4; y - intercept: -1

Answers

Answer:

B

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{5}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{4}{5}[/tex] and y- intercept c = 1

Write the coordinates of the vertices after a reflection over the x-axis.

Answers

Answer:

J: -5,10

K: -5,5
L: -2,1
M: -2,6

Hope I helped<3

Please help!!! I am so confused and this is due tomorrow!!

Answers

The simplified expressions for (A), (B) and (C) are:

(A) [tex]f(x+h) = 4x + 4h - 6[/tex]

(B) [tex]f(x+h) * f(x) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]

(C) [tex]f(x+h) - f(x) / h = 4[/tex]

How to simplify the equation?

To simplify we use the given method.

A)

[tex]f(x+h) = 4(x+h) - 6 = 4x + 4h - 6[/tex]

B) [tex]f(x+h) * f(x) = (4x + 4h - 6) * (4x - 6) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]

C)

[tex]f(x+h) - f(x) / h = (4x + 4h - 6) - (4x - 6) / h = 4h / h = 4[/tex]

So the simplified expressions for (A), (B) and (C) are:

(A) [tex]f(x+h) = 4x + 4h - 6[/tex]

(B) [tex]f(x+h) * f(x) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]

(C) [tex]f(x+h) - f(x) / h = 4[/tex]

Please note that in (C) the difference of the functions is divided by h, not multiplied.

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In the diagram below, PQ is parallel to MN. If PQ is 2 more than MP,
PO = 12, and MN = 12, find the length of MP. Figures are not necessarily
drawn to scale. State your answer in simplest radical form, if necessary.

Answers

Therefore , the solution of the given problem of parallel line comes out to be   MP =22.

Parallel lines are what?

Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.

Here,

Given :  PQ || MN

=> PQ =MP+2

=> PO = 12 , MN = 12

So,

=> PO + MN = 12 + 12

=> PQ = 24

=> PQ = MP +2

=>24 = MP +2

=> MP =22

Therefore , the solution of the given problem of parallel line comes out to be   MP =22.

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Would this be SSS, ASA, SAS, or AAS?

Answers

This triangle would would be angle side angle, given that the two triangles are connected - not completely sure if this is right. Hope it helps.

Which of the following rational functions is graphed below?

Answers

The rational function f(x)= x/x+3 is graphed in the figure.

What is rational function?

A rational function is the function which can be expressed in terms of the ratio of p and q.

f(x)= p(x)/q(x)

From the given graph , the vertical asymptote is at x=-3

Now, let's find out the vertical asymptote of each function

In order to find out vertical asymptote, we set the denominator =0

a. f(x)= x/(x+3)

x+3=0

x=-3

b. f(x)= x-3/x

x=0

c. f(x)= x/3

3≠0

d. f(x)= 3/x

x=0

The first function has vertical asymptote at x=-3.

Hence, the first option f(x)= x/x+3 is graphed in the figure.

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The number of students, in a class of 35 , who improve their score from the first midterm to the second midterm

Answers

Note that the number of students, in a dass of 35, who improve their score from the first midterm to the second midterm is a discrete variable.

What is a discrete variable?

A discrete variable is one that can only have particular, unique values and cannot have any other values in between. The number of students who increase their score is a whole number that can only take on specific values (e.g., 0, 1, 2, etc.), indicating that it is a discrete variable.

A quantitative variable in mathematics and statistics can be continuous or discrete depending on whether it is normally obtained by measuring or counting. The variable is continuous in that interval if it can take on two specific real values while simultaneously taking on all real values between them.

Thus, it is correct to state that the number of students, in a dass of 35, who improve their score from the first midterm to the second midterm is a discrete variable.

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Full Question:

Is the following variable best thought of as discrete or continuous?

The number of students, in a class of 35 , who improve their score from the first midterm to the second midterm

if the expression 3x + 10 is equivalent to -2x what must the value of x be

Answers

Answer:

Step-by-step explanation:

It would be -5 3-5=-2

What type of graph or graphs would you plan to make in a study of each of the following issues?
(a) What makes of cars do students drive? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(B) How old are their cars? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(c) How many hours per week do students study? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plo
tnone of the above
(d) How does the number of study hours change during a semester? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(e) Which radio stations are most popular with students? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(f) When many students measure the concentration of the same solution for a chemistry course laboratory assignment, do their measurements follow a normal distribution? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above

Answers

The concept given is Graphs. A graph is a chart showing the relationship between magnitudes of variables, usually two variables, each measured along a pair of orthogonal axes.

Charts and tables are powerful visual tools because they present information quickly and easily. that graphics are commonly used in print and electronic media.

Sometimes data is easier to understand in a chart than in a table because a chart can show a trend or comparison.

A) bar graph and pie chart.

B) histogram, stem plot, and box plot.

C) histogram, stem plot, and box plot.

D) time plot.

E) bar graph and pie chart.

F) normal quantile plot.

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You randomly select a letter from the letters A, B, C, D, E and flip a coin. The table represents the sample space, where H represents the coin landing heads up and T represents landing tails up. What is the probability of selecting the letter “C” or the coin landing tails up?

Answers

The probability of selecting the letter C or the coin landing tails up is given by the following option:

3/5.

How to obtain a probability?

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the table representing the sample space, the number of total outcomes is given as follows:

10.

The desired outcomes are given as follows:

5 outcomes in which the coin lands tails up.A sixth outcome in which the coin lands heads up, however with the letter c.

(as the or statement means that at least one of the conditions have to be satisfied, that is, one is enough).

Hence the probability is obtained as follows:

p = 6/10

p = 3/5. (dividing both the numerator and the denominator by 2).

Meaning that the last option is the correct option.

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The midpoint of the segment joining points (a, b) and (j, k) is:

Answers

The midpoint of the segment joining points (a,b) and (j,k) is, (a+j)/2, (b+k)/2)

The midpoint of the segment joining two points (x1, y1) and (x2, y2) is given by the point ((x1 + x2)/2, (y1 + y2)/2).

So, to find the midpoint of the segment joining the points (a, b) and (j, k), we need to take the average of the x-coordinates and the average of the y-coordinates:


((a + j)/2, (b + k)/2)

So the midpoint of the segment joining points (a,b) and (j,k) is  (a+j)/2, (b+k)/2).

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This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer in the box.
A
Replanted trees
500
450
400
350
300
250
200
150
100
50
(5,225)
(3, 135)
1 2 3 4 5 6 7 8 9 10
Area (acres)

Answers

What is Constant of Proportionality?

The ratio between two proportional quantities' constant values is known as the constant of proportionality.

The formula for calculating slope is expressed as:

m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Given: the coordinate points (5,225) and (3, 135). The constant of proportionality is expressed as:

m =  [tex]\frac{135-225}{3-5}[/tex]

m = [tex]\frac{-90}{-2}[/tex]

m = 45

Hence, Constant of Proportionality is 45.

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Two angles are complementary to each other. One angle measures 18°, and the other angle measures (8x − 28)°. Determine the value of x.

Answers

Since one angle measures 18°, and the other angle measures (8x − 28)°, the value of x is equal to 12.5.

What is a complementary angle?

In Mathematics, a complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be calculated by using this mathematical expression:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

Substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

(8x - 28)° + 18° = 90°

8x - 10 = 90

8x = 90 + 10

8x = 100

x = 100/8

x = 12.5

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HELP QUICK PLS
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 10. What is the probability that a randomly
selected male's systolic blood pressure will be less than 129, to the nearest
thousandth?

Answers

Therefore,  the solution of given problem of probability is there is a 0.397 percent chance that a randomly chosen male will have a systolic blood pressure below 100.

How does probability work?

A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A possibility is a number from 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or chance that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages ranging from 0% to 100% and from 0 to 1.

Here,

Considering the query

In a particular municipality, men's systolic blood pressure has a median of 105 as well as a standard deviation = 9, which is considered to be regularly distributed.

Probability that the systolic blood pressure of a man chosen at random will be less than 100

P(x < 100)

Through the use of normalized normal distribution

=> N(100 -105)/9 \s=> N (-5/9)

We have a>0 and N(-a) = 1 - N(a).

=> 1 - N (-5/9)

=> 1 - N(0.556) (0.556)

=>1 - 0.6026

=> 0.3979

≈ 0.397 (nearest hundredths) (nearest thousandth)

Therefore, there is a 0.397 percent chance that a randomly chosen male will have a systolic blood pressure below 100.

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Pls help please easy

Answers

Answer: 204

Step-by-step explanation:

2 goes into 12 six times. 34x6=204

hence, your answer.

Guys i need help with this it's really hard!

Answers

Answer: c is correct

Answer:

c

Step-by-step explanation:

Given that 1 inch = 2.54 cm, how many centimeters are there in 7 feet? Answers may be written using decimal form and should be rounded to the nearest hundredth when necessary. (12 inches = 1 foot)

Answers

Answer: 30.48

Step-by-step explanation:

2.54x12=30.48

12 in = 1 foot
1 in = 2.54cm

7 feet = 12 in x 7 = 84 in

84 in = 213.36 cm
7 feet = 213.36 cm

Answer: 213.36 cm

For a science project,3/4 of the students chose to make a poster and 0.25 of the students wrote a report. Rosa said that more students made a poster than wrote a report.Do you agree with Rosa? Use numbers and words to support your answer.

Answers

Yes , i agree with Rosa in linear equation.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

3/4 is equal to 0.75 and 0.75 > 0.25

Or 0.25 is equal to 1/4,

 

and 1/4 < 3/4

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factoriser
A=(2x-3)(2x-3)-(x-2)(x-2)

Answers

(2x-3)(2x-3)-(x-2)(x-2)
= (2x-3)^2 - (x-2)^2 <— Difference of Squares
= [(2x-3)+(x-2)]•[(2x-3)-(x-2)]
= (3x-5)(x-5)
= 3x^2-15x-5x+25
= 3x^2-20x+25

Deon made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was 13.40. If the beads cost
3.60 for each necklace, how much did each pendant cost?

Answers

Answer:

$7.40

Step-by-step explanation:

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WILL MAKE BRAINLIEST!!Solve for x. The GRM for Sunny Hills is 147. If a three-bedroom, one-bath house in Sunny Hills rents for $820 monthly and sold for $125,000, what is the suggested value of a house that leases for $1,000 monthly based on the GRM What is another way to name angle 3?O Angle MVKO Angle LVMO Angle LVKO Angle KVM Hydrogen gas and oxygen gas react to produce water. Both of these gases are present inthe air around us -so, how come water isn't being produced all around u? Which of the following systems of linear inequalities is represented by thesolution graphed below?O A. y>2 and ys xO B. y22 and rexO C. x> 2 and y2 xO D. x22 and y > x What is the square root of pi? The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company.Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points)Part B: The second method the CEO is contemplating involves using a random number generator app to choose a simple random sample of 600 employees from a list of 4,700 employee names. How could she implement this method? (5 points) The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of $29.81 per hour and a standard deviation of $9.31 per hour. What is the probability that the hourly pay of a randomly selected flight attendant: How can you test to see if you areable to safely lift an object? Which government program is called the "third rail of american politics" by politicians because, like the high-voltage bar that powers subway trains? The probability that an adversary will exploit a weakness in your operation, tempered by the impact to your mission, is defined as the. If there is an high concentration of carbon dioxide in the blood stream, it will diffuse into the On June 1, Sheridan Company Ltd. borrows $162,000 from Acme Bank on a 6-month, $162,000, 4% note. The note matures on December 1. (a)Prepare the entry on June 1. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) (b) Prepare the adjusting entry on June 30. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)(c) Prepare the entry at maturity (December 1), assuming monthly adjusting entries have been made through November 30. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) (d) What was the total financing cost (interest expense)? The costs of direct materials, direct labor, and overhead for partially completed products are known as: Question 12 of 21Read the following excerpt from A Portrait of the Artist as a Young Man byJames Joyce:The wide playgrounds were swarming with boys. All wereshouting and the prefects urged them on with strong cries.The evening air was pale and chilly and after every chargeand thud of the footballers the greasy leather orb flew likea heavy bird through the grey light. He kept on the fringe ofhis line, out of sight of his prefect, out of the reach of therude feet, feigning to run now and then. He felt his bodysmall and weak amid the throng of the players and hiseyes were weak and watery. Rody Kickham was not likethat: he would be captain of the third line all the fellowssaid.What aspect of this excerpt most clearly marks it as a work of Modernism?A. There is more value placed on athletic achievement than personalhappiness.B. It conveys the sense of being isolated, even within aa crowd.C. It focuses on one's ability to rise above limiting expectations ofothers.D. There is a sense that, no matter how hard people try, they can't getahead. An analysis that examines the techniques and ingredients that authors or speakers select to communicate their message is called what? All else equal, if the required reserve ratio falls: a $1 loan can lead to a smaller change in the money supply than before the change in the required reserve ratio. the money multiplier decreases. the money multiplier increases. the amount of excess reserves also falls. PLEASE ANSWER QUICKWhich of the following has two lenses as well as a light bulb in the base that shines light through the specimen?Group of answer choicesscanning electron microscopecompound light microscopetransmission electron microscopescanning tunneling microscope A track-and-field coach recorded the length of each student's standing long jump. The data is summarized in the box plot.Standing Long Jumps0+24+Feet6810Choose all of the statements that can be concluded from this data.A. The median jump length is 5 feet, which is the average length of a standing long jump for the students represented in the box plot.B. The median jump length is 5 feet, which is the length of the middle student's long jump if the students were ordered by the length oftheir long jump.C. The interquartile range of the long jumps is 4 feet, which means that about half of the students' long jumps are within 4 feet of themedian.D. The interquartile range of the long jumps is 4 feet, which means that about half of the students' long jumps are within 2 feet of themedian.A Three-year-old moe loves to pour sand from one bucket to another bucket. he never tires of this simple, repetitive activity. the type of play moe is engaging in is called _____ play.