assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. the u.s. marine corps requires that the heights of men be between 64 and 78 inches. if 500 men want to enlist in the u.s. marine corps, how many would you not expect to meet the height requirements?

Answers

Answer 1

The percentage of men who didn't expect to meet the height requirements be 96.29%

Given, that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches.

Find the percentage of men who meet the height requirements.

z(64) = (64-69)/2.8 = 1.7857

z(78) = (78-69)/2.8 = 3.2143

P(64 <= x <= 78) = P(1.78457<= z <=3.2143) = 0.0371 = 3.71%

So, the percentage of men who meet the height requirements be 3.71%

Now, the percentage men who didn't expect to meet the height requirements be

100 - 3.71 = 96.29%

Hence, the percentage of men who didn't expect to meet the height requirements be

96.29%

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Related Questions

the superintendent of schools in a small town in ohio made many policy changes to the way school administration worked in his district. a researcher at a nearby university wanted to look at what teachers in his district thought about the changes. the researcher made a list of all the schools in the district and used a random number generator to select a sample of five schools from the district. then the researcher interviewed every teacher at each of those five schools. which sampling method did the researcher use?

Answers

Answer:

The number to the ration

Step-by-step explanation:

the product of two numbers is 432.if GCF of the numbers is 12 then the greater number is ?
.i need the steps the answer is 36, Please help ​

Answers

The greater factor of 432, if 12 is the greatest common factor between the two factors is 36

What is greatest common factor?

The Greatest Common Factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.

The factors of 432 are 36,12, 24 ,18,4,108

But the two factors of 432 that has a multiple of 12 is 12 and 36

12× 36 = 432

The factors of 12 = 1,2,3,4,6,12

The factors of 36 = 1,2,3,4,6,9,12,18,36

the common factors are ; 1,2,3,4,6 and 12

therefore the greatest common factor = 12

since the GCF between 12 and 36 is 12, the second number will be 36

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Write the function whose graph is the graph of y = x2, but is shifted to the left 2 units.

Answers

The function whose graph is shifted 2 units to the left is y = (x + 2)² .

In the question ,

it is given that the equation is given as y = x² .

we know that when the function y = x² is shifted " a units " to the left , the shifted function becomes y = (x + a)²  ,

we have to find the equation of the graph that is shifted 2 units to the left ,

So , the value of a is 2 ,

and the equation becomes

y = (x + 2)²

so , the equation is y = (x + 2)² .

the graph is shown below .

Therefore, The function whose graph is shifted 2 units to the left is y = (x + 2)² .

The given question is incomplete , the complete question is

Write the function whose graph is the graph of y = x², but is shifted to the left 2 units ?

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Wyatt is saving money for a PS5 but has to pay back
the $3 he owes his sister.
#5.
Drag the green points so that the shaded region covers
the range.
#6.
What is the range of this function? (Consider: How do
you think the arrow affects the range?)

Answers

Answer:

Step-by-step explanation:

dees

greta is opening a savings account. she starts with 100$ and plans to add 50$ each week. write an equation she can use to calculate the amount of money she will have after any number of weeks. how much money will she have after 1 year?

Answers

Money  she will have after 52 weeks = rs.2,700

What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

Unit rate of change here is =

⇒ Unit rate of change here is =

⇒ Unit rate of change here is = 50%

Part B

Equation to calculate the amount of money Greta will have after any number of weeks = ?

Money after 'x' number of weeks =

⇒ Money after 'x' number of weeks =

Part C

Money Greta will have after 1 year= ?

In a year there are 52 weeks

So, putting x = 52 in the solution of Part B

⇒ Money after 52 weeks =

⇒ Money after 52 weeks =

⇒ Money after 52 weeks = 2,700

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What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.

x = -3

x = 3

x = 6

Answers

The solution of quadratic equation 8x² = 6 + 22x is x = 3 and x = -1/4

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

Given expression is,

8x² = 6 + 22x

Rewrite this expression as,

8x² - 6 - 22x = 0

8x² - 22x - 6 = 0

Now, we get the form quadratic equation i.e, ax² + bx + c = 0

Solve the equation and find roots

8x² - 22x - 6 = 0

2(4x² - 11x - 3) = 0

4x² - 11x  - 3 = 0

4x² - 12x + x - 3 = 0

Take common terms out,

4x(x - 3) + 1(x - 3) = 0

we get the brackets same that means we're on right way,

(4x + 1) (x - 3) = 0

split the values into two,

4x + 1 = 0      and  x - 3 = 0

4x = -1                    x = 3

x = -1/4

Therefore, the solution of quadratic equation 8x² = 6 + 22x is x = 3 and   x = -1/4

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A runner completed a 26.2-mile
marathon in 210 minutes.
a. Estimate the unit rate, in miles per minute.
b. Estimate the unit rate, in minutes per mile.
c. Another runner says, “I averaged 10-minute miles in the
marathon.” Is this runner talking about the unit rate
described in part (a) or in part (b)? Explain your reasoning.

Answers

Step-by-step explanation:

The answer is: A=210÷26.2=8.2

B=now we have to turn minutes in to haurs 210:60=3.5 now 26.2÷3.5=29.7

Answer:

A) 26.2/210= .125 miles per minute

B) 210/26.2= 8.02 minutes per mile

C) the other runner talks about the same rate as b), not a).

Step-by-step explanation:

A)[tex]\frac{26.2}{210\\}[/tex] and B)[tex]\frac{210}{26.2}[/tex] :)  

C)the runner was referring to the time they took to run one mile, so the other runner ran 10 minutes to cover one mile, or as they say, "10 minute miles", which is the rate in minutes per mile.

If they were referring to the rates in a), that would imply the other runner ran 10 miles per minute... which is very unlikely.

sec^2 54 - 1, can anyone please help me with question asap

Answers

The numeric value of the expression sec²(54º) - 1, using a trigonometric identity, is given as follows:

tan²(54º) = 1.8944.

How to solve the expression using a trigonometric identity?

Before applying the trigonometric identity, we have to define the secant and the tangent of an angle, as follows:

The secant of an angle is given by the division of one by the cosine of the angle.The tangent is given by the division of the sine of the angle by the cosine of the angle.

The identity that exists between the squares of these measures is given as follows:

tan²(x) + 1 = sec²(x).

Hence, isolating the tangent:

tan²(x) = sec²(x) - 1.

In this problem, the expression is given as follows:

sec²(54º) - 1

Applying the identity, the expression is given as follows:

sec²(54º) - 1 = tan²(54º).

Using a calculator, the numeric value of the expression is given as follows:

tan²(54º) = 1.8944.

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A mixture of 13% disinfectant solution is to be made from 11% and 17% disinfectant solutions. How much
of each solution should be used if 12 gallons of the 13% solution are needed?
There needs to be
gallons of 11% solution and
gallons of 17% solution.

Answers

The mixture of 13% disinfectant solution needs to be made with 8 gallons of 11% solution and 4 gallons of 17% solution respectively.

How to find the number of gallons of solution needed?

Let

gallons of 11% solution = xgallons of 17% solution = y

x + y = 12

0.11x + 0.17y = 0.13 × 12

x + y = 12

0.11x + 0.17y = 1.56

From (1)

x = 12 - y

Substitute into (2)

0.11x + 0.17y = 1.56

0.11(12 - y) + 0.17y = 1.56

1.32 - 0.11y + 0.17y = 1.56

- 0.11y + 0.17y = 1.56 - 1.32

0.06y = 0.24

divide both sides by 0.06

y = 0.24/0.06

y = 4

Substitute y = 4 into (1)

x + y = 12

x + 4 = 12

x = 12 - 4

x = 8

So therefore, the gallons of 11% solution and

gallons of 17% solution needed are 8 and 4 gallons respectively.

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please help look at picture

Answers

The answer is +14 or just 14

simplify (55x + 46y) - (29x - 10y)

Answers

Answer:

26x-56y

Step-by-step explanation:

First you open the bracket and collect like terms

55x-29x-46y-10y

26x-56y

Construct the graph of the equation given by solving for the intercepts. Show all of the steps in finding the intercepts and then
plot the intercepts to create the graph. Label the intercepts, as well as the axis on the graph.
2x+3y=6

Answers

The slope and the intercepts of the graph are determined.

Given:

the equation is :

2x+3y=6

we first find the slope of the equation:

m = -a/b

m = -2/3

now solve the intercepts:

to find x intercept, substitute in 0 for y and solve for x.

⇒ 2x+3y=6

⇒ 2x+3(0)=6

⇒ 2x+0=6

⇒ 2x=6

⇒ x=6/2

⇒ x=3

hence we get (3,0)

now, to find y intercept, substitute in 0 for x and solve for y.

⇒ 2x+3y=6

⇒ 2(0)+3y=6

⇒ 0+3y=6

⇒ 3y=6

⇒ y=6/3

⇒ y=2

hence we get (0,2) as the intercepts.

Therefore we plot the required graph.

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Last year, the student population at Haley Elementary School was 360 students. After rezoning this year, the student population is 10% smaller. HOW MANY STUDENTS ATTEND HALEY ELEMENTARY THIS YEAR?

Answers

Answer:

360 of 10%

360 x 10/100

36

now, 360 - 36 = 324

therefore, 324 students attended haley elementry this yr.

an airplane ticket has a perimeter of 58 cm and an area of 198 square cm. What are the dimensions of the ticket

Answers

The dimensions of the ticket are width is 11 cm and  length is 18 cm.

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

An airplane ticket has a perimeter of 58 cm and an area of 198 square cm.

Let W is the width of the ticket and L is the length of the ticket

The area of a credentials= L × W

198 = L × W ...(i)

The perimeter of a ticket = 2(L+W)

58 = 2(L+W)

29 = L + W

L = 29 - W ...(ii)

Substitute the value of L = 99 - W in equation (i)

198 = (29 - W) × W

198 = 29W - W²

0 = W² - 29W + 198

[tex]0=\left(W^2-11W\right)+\left(-18W+198\right)[/tex]

[tex]0=W\left(W-11\right)-18\left(W-11\right)[/tex]

[tex]0=\left(W-11\right)\left(W-18\right)[/tex]

W = 18 or 11

Substitute the value of W = 11 in equation (ii)

L = 29 - 11

L = 18

Thus, the dimensions of the ticket are width is 11 cm and length is 18 cm.

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Which equation show the relationship between the number of
hours, x, and the number of dogs groomed, y?

y = 15x

y = 5x

y = 30x

y=3x

Answers

The relation that can be formed by obersving the Cartesian Plane is y = 5x

What is Co-ordinate Geometry?

The study of geometry using coordinate points is known as coordinate geometry (or analytic geometry). It is possible to estimate the distance between two points, divide lines in a m:n ratio, identify the midpoint of a line, calculate the area of a triangle in the Cartesian plane, and so on using coordinate geometry.

Solution:

By analysing the given Cartesian Plane

it can be observed that the rate of change of y with respect to x

is 5 times

Therefore, the relation that can be formed by obersving the Cartesian Plane is y = 5x

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-2(4 + 3y) = -2(4 + y)

Answers

Answer:

Step-by-step explanation:

-8-6y=-8-2y

+2y +2y

-8-4y=-8

+8 +8

-4y=0

Y=0



remove parentheses
-2(4+3y) = -4 - y
into
-8 - 6y = -4 - y
add 8 to both sides
-6y = -4 - y + 8
simply to 4 - y
-6y = 4 - y
add y to both sides
-6y + y = 4
simplify
-5t = 4
divide by both sides
y = -4/5
(if ur answer is something under simplify that’s ur answer)


Factor the expression (72a9b3 − 18a7b5) completely.

Answers

The factor of the expression 72[tex]a^{9} b^{3}[/tex] - 18[tex]a^{7} b^{5}[/tex] is 18[tex]a^{7} b^{3}[/tex](4[tex]a^{2}[/tex] - [tex]b^{2}[/tex]).

Given expression:

= 72[tex]a^{9} b^{3}[/tex] - 18[tex]a^{7} b^{5}[/tex]

divide by 18 .

= 4[tex]a^{9} b^{3}[/tex] - [tex]a^{7} b^{5}[/tex]

divide by [tex]a^{7}[/tex]

= 4[tex]a^{2}b^{3}[/tex] - [tex]b^{5}[/tex]

divide by [tex]b^{3}[/tex]

= 4[tex]a^{2}[/tex] - [tex]b^{2}[/tex]

= 18[tex]a^{7} b^{3}[/tex](4[tex]a^{2}[/tex] - [tex]b^{2}[/tex]).

Therefore the factor of the expression 72[tex]a^{9} b^{3}[/tex] - 18[tex]a^{7} b^{5}[/tex] is 18[tex]a^{7} b^{3}[/tex](4[tex]a^{2}[/tex] - [tex]b^{2}[/tex]).

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Find the value of k so that the system of equation has no solution
kx + 6y = 6
y = 2/3x - 4

Answers

The value of k so that the system of equation has no solution is k = -4

How to find the value of k so that the system of equation has no solution?

Since we have the system of equations

kx + 6y = 6

y = 2/3x - 4

For the system of equations to have no solution, the determinant coefficient matrix must be zero.

Re-arranging the equations, we have

kx + 6y = 6

-2/3x  + y = - 4

So, the coefficient matrix is

[tex]\left[\begin{array}{ccc}k&6\\-2/3&1\end{array}\right][/tex]

So, the determinant D = k × 1 - (-2/3) × 6

= k + 2/3 × 6

= k + 2 × 2

= k + 4

Since the determinant must be zero for the system of equations to have no solution, we have that

D = 0

k + 4 = 0

k = -4

So, the value of k = -4

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Can anyone write the equation of the graph?

Answers

the answer is (3,5) since that’s where the point is

Given that ABCD is a rectangle, where EC = 7x -3 and AE=4x + 8. Find DE.

Answers

The length of segment DE on the rectangle, considering the midpoint, is given as follows:

DE = 22.67.

What is the midpoint?

The midpoint of a segment divides a segment into two segments of equal length, having half the length of the entire segment.

In this problem, the diagonal of the rectangle represented by segment AC has midpoint E, hence the measure of x is calculated as follows:

EC = AE.

The measures are as follows:

EC = 7x - 3.AE = 4x + 8.

Hence:

7x - 3 = 4x + 8

7x - 4x = 8 + 3

3x = 11

x = 11/3.

Segment DE is also half of a diagonal, hence it's length is obtained with the numeric value of any segment EC or AE, as follows:

DE = EC = 7x - 3 = 7 x 11/3 - 3 = 77/3 - 9/3 = 68/3 = 22.67.

Missing Information

The rectangle is given by the image at the end of the answer.

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find the slope through(0,10) and (24, 6)

Answers

Answer:

slope = - [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 10 ) and (x₂, y₂ ) = (24, 6 )

m = [tex]\frac{6-10}{24-0}[/tex] = [tex]\frac{-4}{24}[/tex] = - [tex]\frac{1}{6}[/tex]

whats the quotient for 2.0 and 4.0

Answers

The solution to the quotient for 2.0 and 4.0 is 0.50

How to determine the quotient of the numbers?

From the question, the mathematical statement is given as

The quotient for 2.0 and 4.0

The quotient of numbers is their division

This in other words mean that:

The quotient for a and b is a/b

Using the above highlights as a guide, we have

The quotient for 2.0 and 4.0 to be 2.0/4.0

Evaluate the quotients

So, we have the following representation

The quotient for 2.0 and 4.0 to be 0.50

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PLEASE HELP ASAP! (QUESTION IN IMAGE + 15 Points)
One angle of an isosceles triangle measures 128°. What measures are possible for the other two angles? Choose all that apply.

Answers

Answer:

Hmm I am not sure, but I think you should try 44 and 26!

Step-by-step explanation:

Reply back if its right :)

Heather is planning her birthday party at the rink. the graph below shows the total cost including the fee to rent the party room and the price for each guest.
130 for 2
140 for 4
150 for 6
how much for the party room
how much for each guest
what's the equation for the total cost for the party
how much for 15 people and the party room ​

Answers

Step-by-step explanation:

I skipped the answer line because they are pasted below.

Since there is a ten dollar difference for two people, each guest is 5 dollars. If each guest is 5 dollars, the party room is 120. If we want to create an equation, we have:

y=5x(each guest is 5 dollars)+120(the basic fee).

If we use 15 here, we have that it will be $195.

ANSWERS DOWN HERE:

1. $120

2. $5

3. y=5x+120

4. $195

What is the product of (4i-5)(4i+5)

Answers

The product of (4i-5)(4i+5) is -41.

What are complex numbers?

Every complex number can be expressed in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element denoted i, also known as the imaginary unit, and satisfies the equation i² = - 1.

Here, we have

Given function

= (4i-5) (4i+5)

After applying the product rule, we get

=  16i² + 20i - 20i - 25

= 16i² - 25

after putting i² value, we get

= 16(-1) - 25

= -41

Hence, the product of (4i-5)(4i+5) is -41.

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What is the volume of this figure?
O 6,720 cm³
O 5,760 cm³
O 3,840 cm³
O I don't know.

Answers

The volume of the given figure is 5760 [tex]cm^{3}[/tex].

According to the question,

We have the following information:

We have a figure where two cuboids are joined together. So, the volume of the figure will be the sum of the volume of these cuboids.

We know that the following formula is used to find the value of cuboid:

Volume of cuboid = Length*breadth*height

Volume of larger cuboid = 40*8*12

Volume of larger cuboid = 3840 [tex]cm^{3}[/tex]

Volume of smaller cuboid = 20*8*12

Volume of smaller cuboid = 1920 [tex]cm^{3}[/tex]

Volume of the figure = 3840+1920

Volume of the figure =  5760 [tex]cm^{3}[/tex]

Hence, the correct option is B (the second option).

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Answer:

5760

Step-by-step explanation:

Janet attends state university and lives in an on campus dorm suite with 5 friends. They share cost of the monthly upgraded cable bill for their suite. Below is a listing of the bills for their freshman year. 9. Round the following value
Σ
619
X₁
to the nearest dollar.
Interpret the answer in the context of the problem.

Answers

Answer:

Step-by-step explanation:       Step 1

1 of 2

step 1.2659 ;[26 Discovery Group

October 20

Last

Trade Time

Chg

Open

52-week High

52-week Low

Sales in 100s

High

Low

 

$38.50

4:00 P.M. ET

$1.56

$37.22

$76.19

$22.78

19,700

$40.10

$36.77

\begin{matrix} \text{Discovery Group} & \text{}\\ \text{October 20} & \text{}\\ \text{Last} & \text{\$42.00}\\ \text{Trade Time} & \text{4:00 P.M. ET}\\ \text{Chg} & \text{\$1.50}\\ \text{Open} & \text{\$42.50}\\ \text{52-week High} & \text{\$76.19}\\ \text{52-week Low} & \text{\$22.78}\\ \text{Sales in 100s} & \text{23,600}\\ \text{High} & \text{\$42.50}\\ \text{Low} & \text{\$42.00}\\ \end{matrix}

Discovery Group

October 20

Last

Trade Time

Chg

Open

52-week High

52-week Low

Sales in 100s

High

Low

 

$42.00

4:00 P.M. ET

$1.50

$42.50

$76.19

$22.78

23,600

$42.50

$42.00

PLEASE PLEASE HELP NOW!!!!!
Givin: logam=x and logan=y
Prove: logamn=logam+logan

Drag the statements and reasons into the boxes to correctly complete the proof.

Answers

Answer:

2. ax=m and ​ay=n​

4. mn=a(x+y)

6. power property of logarithms.

I took the quiz.

k12

i took the quiz this is the right answers

(x² + 8x + 1) ÷ (x −4)

Answers

Answer: x=4

Step-by-step explanation: simplify expression and divide polynomials

Write an equation for the transformation of y=x; vertical by a factor of 1/10

Answers

The equation the function after the transformation is g(x) = x/10

How to determine the transformation of the function?

The equation of the function is given as

y = x

Express as a function

f(x) = x

The sequence of transformations is given as follows:

Vertically stretched by a factor of 1/10

When the above transformations are combined, we have:

Vertically stretched by a factor of 4: g(x) = 1/10f(x)

So, we have

g(x) = 1/10f(x)

Substitute x for f(x)

So, we have

g(x) = 1/10 * x

Evaluate

g(x) = x/10

Hence, the function g(x) is g(x) = x/10

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Other Questions
which of the following is a criticism of symbolic interactionism? a.) it focuses on the behavior of society as a whole instead of people interacting with one another. b.) it uses preconceived notions about people to predict their behavior while interacting with each other. c.) it does not consider the structural constraints people have while interacting with one another. d.) it does not focus on the meanings conveyed through the nonverbal aspects of human interaction. President Wilsons proposal to form the League of Nations was most weakened byhis illness while traveling to gain support.his shortage of campaign funds.his strong anti-German sentiment.his disagreement with Henry Cabot Lodge. what happened when the fbi asked apple to create a new version of the ios operating system was would allow the fbi to gain access to the locked iphone of syed rizwan farook? The amount of seed in a bird feeder decreased 11 1/4 ounces in 5 days. The amount of seed decreased the same amount each day. What was the change in the amount of seed in the bird feeder after 7 days? bryce earned the trust and respect of his employees by consistently modeling the kinds of behaviors that he expects from them. what type of power does bryce possess? find the Cartesian coordinate of the point where polar coordinates are [52, /4 ] the nurse is caring for a client with aggression disorder. the client has an anger episode and is threatening other clients in the emergency room with a knife. what should be the approach of the nurse in this situation? select all that apply. how to write as one fraction 7/2a+4/a*a The Monty Corporation has a staff of sales people who are paid a monthly salary of $1,600.00 plus an incremental commission based on the table below. If Sally sells $29,700.00, what is her total gross pay for the month Solve:-[tex]\bf 7(5a - 4) - 1 = 14 - 8[/tex] how do i make v the subject of the formula, W=5+v/v-3 productivity at the wisconsin branch of big box manufacturing has decreased significantly over the last twelve months. aaron, the branch manager, researches the problem and finds that many employees are spending significant time on social media while at work. he wants to construct a report for the company's leadership team, using the deductive approach. how should aaron structure the report? what are the Economical aims of the African Union a horticulturalist wants to produce geraniums with specific characteristics. she knows that the trait of red flowers is governed by the allele r(rr and rr) and the trait of white flowers is governed by the allele r(rr). the horticulturalist plans to cross a geranium that is true-breeding for red flowers with a geranium that is true-breeding for white flowers. which punnett square best describes this cross? in a diploid individual, one chromosome carries f and b genes, and the homologous chromosome carries different forms (alleles) of these same genes, f and b. see the image below for an illustration of the diploid, the original cell at the start of meiosis. if there is no crossover of the non-sister chromatids during the early phases of meiosis, the genotypes of the resulting gametes will be: PLEASE HELP!4. The last couple of years in the winter season, Mrs. Blair has had to take many days off for one of her kids being sick. She has determined that each kid has a 63% chance of getting sick at some point in the winter months. She has 4 kids.a) What is the probability that all her kids get sick this winter? b) What is the probability that at least one kid will get sick this winter? 5. Challenge Problem: If A U B = S (Sample Space), P (A and B) = .25, P (A) = .35, then P(B) = ??? if income increases from $20,000 to $30,000 and $1,000 of the new income is saved (but a total of $6,000 of the $30,000 is saved), then the mpc is . during chordate evolution, what is the sequence (from earliest to most recent) in which the following structures arose? 1. four limbs with digits 2. notochord 3. true bone 4. lungs or lung derivatives 5. amniotic egg Samuel is remodeling his basement. One part of the planning involves the flooring. Heknows that he would like both carpet and hardwood but isn't sure how much of each he willuse. The most amount of flooring area he can cover is 2000 square feet. The carpet is $4.50per square foot, and the hardwood is $8.25 per square foot. Both prices include labor costs.Samuel has budgeted $10,000 for the flooring. Write a system of inequalities to represent the maximum amount of flooring needed andthe maximum amount of money Samuel wants to spend. if a buyer mistakenly believes that a competitor's offering has higher level attributes or qualities than it actually does, the salesperson should attempt to: