a fair -sided die is repeatedly rolled until an odd number appears. what is the probability that every even number appears at least once before the first occurrence of an odd

Answers

Answer 1

The probability that every even number appears at least once before the first occurrence of an odd is 1/20.

Given:

A fair 6-sided die is repeatedly rolled until an odd number appears.

There are 6! ways to order the 6 numbers and 3!(3!) ways to order the evens in the first three spots and the odds in the next three spots.

so the probability = 3!*3! / 6!

= 3!*3! / 6*5*4*3!

= 3*2*1 / 6*5*4

= 6*1 / 30*4

= 6/120

= 1/20

Therefore the probability that every even number appears at least once before the first occurrence of an odd is 1/20.

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Related Questions

Please help this is hard

Answers

The equation that represents each of the figure in slope intercept form are

equation of the left side - y = 3x + 2

equation of the right side - y = 3x - 4

equation of the top side - y = 5

equation of the bottom side - y = -1

How to write the linear equation in slope intercept form

The the slope intercept form has the formula

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

The left and right side's slopes require calculation however the top and bottom slope is zero

equation of the left side

The points used for the slope is gotten from the graph as (1. 5)  (0, 2)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (2- 5) / (0 - 1)

= -3 / -1

= 3

writing the equation using points (0, 2)

(y - y₂) =  m(x - x₂)

y - 2 = 3(x - 0)

y = 3x + 2

equation of the right side

The points used for the slope is gotten from the graph as (5. 5)  (3, -1)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (-1 - 5) / (3 - 5)

= -6 / -2

= 3

writing the equation using points (3, -1)

(y - y₂) =  m(x - x₂)

y - -1 = 3(x - 3)

y + 1 = 3x - 3

y = 3x - 4

equation of the top side

the top side is a horizontal line and the equation is written by picking the point where the line cut the y axis. from the graph the point is 5 hence

y = 5

equation of the bottom side

the bottom side is a horizontal line and the equation is written by picking the point where the line cut the y axis. from the graph the point is -1 hence

y = -1

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Hailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project. She estimates that she can make between 20 and 30 complete centerpieces. Is her estimate reasonable?

Use your knowledge of place value and division to explain the reasonableness of her answer.

Answers

Answer:
Her estimate is reasonable. She can make 25 completed centerpieces

Step-by-step explanation:
Estimate 20 flowers per centerpiece.
430 flowers divided by 20 flowers per centerpiece.

430 /20 is approximately 21 centerpieces. Her estimate is reasonable.

430/20 Divide the top and bottom by 10

43/2 is 21*2 = 42 with 1 left over 21 1/2

We know we underestimated when we rounded 17 to 20.

Se we are a little under with 21.5

Exact answer:
430÷17

17 goes into 43 2 times (17*2 = 34 43-34 = 9 left over)

17 goes into 90 5 time (17*5 = 85 90-85 = 5 left over)

She can make 25 completed center pieces.

You solve a system of equations in which x represents the number of adult memberships sold and y represents the number of student memberships sold. Can ( 6, 24) be the solution of the system? Explain your reasoning.

Answers

Answer:

picture please

Step-by-step explanation:

pic please

Sketch a number line plot your age as a point on your number line

What would you consider as the starting point on a number line? Why?

Answers

The starting point of the number line drawn using the age is zero

What is a Number line?

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). The numbers on the left of zero are all negative, whereas the numbers on the right of zero are all positive.

The starting point of the number line drawn using the age is zero and it is why because every human life starts at the age of months/years.

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A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the length of a side of the base of the box.

a. Write a polynomial function in factored form modeling the volume V of the box.

b. What is the maximum possible volume of the box?

c. Explain how you found the maximum possible volume.

Answers

Answer:

Step-by-step explanation:

V(x) = x3 + 2x2 - 11x - 12

To factor, you want 3 numbers that multiply to give -12 (the constant term) and add to give 2 (coefficient of the x2 term).  The answer is 4, -3, and 1: (4)(-3)(1) = -12, 4 + (-3) + 1 = 2.  So the volume polynomial factors to:

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

Now the volume of a rectangular box is:

V = Length*Width*Height = (x+4)(x-3)(x+1)

So let's pick height = (x+1) = 4.5  (you could pick any one of the three factors).

x+1 = 4.5

x = 3.5

Length = (x+4) = 3.5+4 = 7.5

Width = (x-3) = 3.5 - 3 = 0.5

The box's dimensions are 7.5 m by 0.5 m by 4.5 m

Question 3(Multiple Choice Worth 2 points)
(01.07 LC)
Simplify the given expression below:
(3+4i)+(5-2i)
0-2+6i
02-2i
07+3i
08+2i

Answers

A and C is the correct answer

15 POINTS PLEASE HELP
The data in the table describes the preferred type of exercise of 9th graders.


Cycling Running Swimming Row Totals
Boy 12% 18% 16%
Girl. 14%. 21%. 19%
Column Totals blank blank 100%


Find the marginal relative frequency for students who prefer cycling as their preferred type of exercise.
12%
14%
26%
39%

Answers

Answer: its (C) 26%

Step-by-step explanation:

its easy you just have to do addition

Marginal relative frequency are the column totals and row totals without the 100% there, so basically all the blank spaces are marginal relative frequencies

And to calculate the marginal relative frequency for students who prefer cycling as their preferred type of exercise is 12% +14% = 26%

I also do flvs so believe me

Answer:

26, C

Step-by-step explanation:

I did the quiz

∠A and angle ∠B are supplementary angles. If angle A=(5x-22) and m∠B=(x+28)
what are the mesaurements for ∠A?

Answers

The corresponding measurements for angles A and B are 123° and 57°

How to find the measurements of the angles?

Supplementary angles are angles that sum up to 180 degrees e.g angle 140° and angle 40° are supplementary angles because the sum of 140° and 40° is equal to 180°

Given that: angle A= (5x-22) and m∠B= (x+28),  and ∠A and angle ∠B are supplementary angles. Thus:

A + B = 180°

(5x-22) + (x+28) = 180°

5x-22 + x+28 = 180°

6x + 6 = 180

6x = 180 -6

6x = 174

x = 174/6 = 29°

∠A = (5x-22)           put x = 29°

∠A = 5(29) -22  

    = 145-22

    = 123°

∠B = 180 -123 = 57°

Therefore, the measurements for angles A and B are 123° and 57° respectively

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Answer:The corresponding measurements for angles A and B are 123° and 57°

The corresponding measurements for angles A and B are 123° and 57°

How to find the measurements of the angles?

Supplementary angles are angles that sum up to 180 degrees e.g angle 140° and angle 40° are supplementary angles because the sum of 140° and 40° is equal to 180°

Given that: angle A= (5x-22) and m∠B= (x+28),  and ∠A and angle ∠B are supplementary angles. Thus:

A + B = 180°

(5x-22) + (x+28) = 180°

5x-22 + x+28 = 180°

6x + 6 = 180

6x = 180 -6

6x = 174

x = 174/6 = 29°

∠A = (5x-22)           put x = 29°

∠A = 5(29) -22  

   = 145-22

   = 123°

∠B = 180 -123 = 57°

Therefore, the measurements for angles A and B are 123° and 57° respectively

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Bookwork code: J62
Copy and complete the table of values for
52 +3.
0 1
#| 3² | 9 | ¹ | 2 | ³ | 4 | 5 | 6
3

Answers

The values of y when x=-1,0,1,2,3,4,5,6 are 9,3,-1,-3,-3,-1,3,9 respectively.  

Given the function is,

y = x²-5x+3

Finding the values we get,

substituting the value x=-1 we get,

y = (-1)²-5(-1)+3 = 1+5+3 = 9

substituting the value x=0 we get,

y = 0²-5*0+3 = 3

substituting the value x=1 we get,

y = 1²-5*1+3 = 1-5+3 = -1

substituting the value x=2 we get,

y = 2²-5*2+3 = 4-10+3 = -3

substituting the value x=3 we get,

y = 3²-5*3+3 = 9-15+3 = -3

substituting the value x=4 we get,

y = 4²-5*4+3 = 16-20+3 = -1

substituting the value x=5 we get,

y = 5²-5*5+3 = 25-25+3 = 3

substituting the value of x=6 we get,

y = 6²-5*6+3 = 36-30+3 = 9

Hence the values of y when x=-1,0,1,2,3,4,5,6 are 9,3,-1,-3,-3,-1,3,9 respectively.  

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james can go 144 miles with 12 gallons of gas in his truck.how far can he go on 17 gallons?

Answers

Answer:

425 Miles

Explaination:

Please give the brainliest.

help needed asap!!!

find the equation of the line in point-slope form with the given slope passing through the given point

Answers

Option (a) is correct, i.e., the equation of the line in point-slope form with given slope -2/3 passing through the given point (2,-3) is y+3 = -2/3 (x-2).

What is point-slope form equation of a line?

Point slope form is used to represent a straight line using its slope and a point on the line.

The equation of a line in point-slope form whose slope is 'm' and which passes through a point (x₁ ,y₁) is

y - y₁ = m (x-x₁).

Here we have slope m= -2/3 and the point (x₁ ,y₁) = (2,-3).

Therefore, the point-slope form of the equation is

             y- (-3) = - 2/3 (x-2)

        ⇒ y + 3= -2/3 (x-2).

       ⇒ Option(a) is correct.

Therefore, equation of the line in point- form slope is y+3 = -2/3 (x-2).

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Kal practices lines for 28 minutes at his acting class. This is 70% of the entire acting class. How many minutes long is his acting class? use any strategy to solve.

Answers

Using percent method we can solve the problem. Kal's acting class is 40 minutes long in total.

In which he practices lines about 28 minutes.

let "x minutes" be the total timing of kal's acting class .

Percent is always running between 0 to 100 where 0 % means nothing and 100% total about which we are considering the percent.

so, here x mintues is equal 100% timing

we have given that, kal practice lines for 28 minutes at his acting class and in percent form his timing is equal to 70% .

That's 70% time of entire acting class = 28 min

but we have to find the 100% of entire acting class i.e x minutes

Now, 70% time of entire class = 28 minutes

1% time of entire acting class = 28/70 minutes

100% time of entire acting class i.e x = ( 28/70)100

= 40 minutes .

So, the entire kal's acting class runs for 40 minutes .

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what is 3/5 times 6/7

Answers

Answer:

Step-by-step explanation:

Ok:

1. Straight out Multiplication. Denominator to denominator and numerator to numerator!

3/5*6/7=

18/35=

Answer: 18/35

Pls. Click on the crown for brainliest.!

Thank you !

I need help solving this problem!

Answers

The value of a is = 4/3.

From the given figure:

((3/4)a+4)3 = 15

(3a+4*4 / 4)3 = 15

(3a + 16 / 4)3 = 15

3a*3 + 16*3 = 15*4

9a + 48 = 60

9a = 60 - 48

9a = 12

divide by 9 on both sides

9a/9 = 12/9

a = 12/9

= 4/3.

Therefore the value of a is = 4/3.

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The length of a rectangle i 7 inche le than twice the width, w, of the rectangle. Find the dimenion if the area i 30 quare meter

Answers

The dimensions of the rectangle are, length = 5 inch and width = 6 inch.

What is rectangle?

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can alternatively be explained in terms of an equiangular quadrilateral—a term that refers to a quadrilateral whose angles are all equal—or a parallelogram with a right angle. A square is an irregular shape with four equal sides.

Let, the length of a rectangle is  7 inches less than twice the width, w, of the rectangle.

Suppose,

width = w = x, then,

length = l = 2x - 7

Since the area of the rectangle is 30 square inches.

We know that.

Area of rectangle = length x width

                        30 = (2x - 7) x (x)

                        30 = 2x^2 - 7x

     2x^2 - 7x - 30 = 0

2x^2 - 12x + 5x - 30 = 0

2x(x - 6) + 5(x - 6) = 0

      (2x + 5)(x - 6) = 0

⇒ 2x + 5 = 0,     x - 6 = 0

⇒ x = -5/2,           x = 6

Since length is not negative.

Therefore, w = 6.

So, l = 2(6) - 7 = 12 - 7 = 5

Hence, the length is 5 inches and the width is 6 inches.

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Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h+15 , where h represents the number of hours Michael worked.

Answers

The total amount of money the siblings earned is equal to $1504.5.

How to determine the total amount the siblings earned?

From the information provided, the total number of hours worked is represented by this mathematical expression:

10h + 15

where:

h represents the number of hours Michael worked.

Next, we would determine the number of hours Michael worked by summing up all of the total number of hours worked by each of the four siblings and equating it to the total number of hours worked:

2.5(h + 3) + 4(h - 2) + 31 + h = 10h + 15

7.5h + 26 = 10h + 15

10h - 7.5h = 26 - 15

2.5h = 11

h = 4.4 hours.

For the total number of hours worked by each of the four siblings, we have:

Total hours = 10h + 15

Total hours = 10(4.4) + 15

Total hours = 44 + 15

Total hours = 59 hours.

At a rate of $25.50 per hour, the total amount the siblings earned is given by:

Total earnings = $25.50 × 59

Total earnings = $1504.5.

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Complete Question:

Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15 , where h represents the number of hours Michael worked. What was the total amount the siblings earned?

Nia knows that one apple bag and 6 kiwis cost $19.70.
She also knows that the same apple bag and 16 kiwis cost $43.7.
i.
What is the cost for each kiwi?

Answers

Answer:

each kiwi costs $2.40

Step-by-step explanation:

we set up our system of equations

x = bag of apples

y = kiwi

x + 16y = 43.7

x + 6y = 19.7

multiply any one of the equations by -1 to make x negative

-1(x+6y) = -1(19.7)

-x - 6y = -19.7

add the other equation and the new equation

   -x - 6y = -19.7

    x + 16y = 43.7

+ ____________

   10y = 24

divide by 10 both sides

y = 2.4

we can also look for the cost of each bag of apples

plug in the y value to an original equation

x + 16(2.4) = 43.7

simplify

x + 38.4 = 43.7

subtract 38.4 from both sides

x = 5.3

What is the range of the data in how many teams complete the escape room this week

Answers

Please add an image or some more data.

Write a linear equation that models the data in the table


X Y
-6 0
-3 2
0 4
3 6

Equation:?

Answers

to get the equation of any straight line, we simply need two points off of it, let's use the ones in red provided in the table in the picture below

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{4}{3 +3} \implies \cfrac{ 4 }{ 6 } \implies \cfrac{2 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{2 }{ 3 }}(x-\stackrel{x_1}{(-3)}) \implies y -2 = \cfrac{2 }{ 3 } ( x +3) \\\\\\ y-2=\cfrac{2 }{ 3 }x+2\implies {\Large \begin{array}{llll} y=\cfrac{2 }{ 3 }x+4 \end{array}}[/tex]

help me please.......................​

Answers

the answer is (A) according to the cosine rule a^2=b^2+c^2-2(b)(c)cos(A)

The set of data in the table below represents a linear function.
X
Y
2
-15
5
-9
7
-5
10
1
13
7
Which is an equation for this function?

Answers

Answer:

y = 2x - 19

Step-by-step explanation:

Graph the points on the table and you'll be able to see the answer. That's how I went about it.

or use m = y^2 - y^1 divided by x^2 - x^1 to find the slope, then solve for the initial value from there

[tex]x\sqrt{2} +3=-2[/tex]

Answers

Value of x for the given expression x√2 + 3 = -2 is equal to (- 5√2)/2.

As given in the question,

Given expression is equal to :

x√2 + 3 = -2

Simplify the given expression x√2 + 3 = -2 to get the value of x we have,

x√2 + 3 = -2

Subtract 3 from both the side of the given expression we get,

x√2 + 3 - 3 = -2 - 3

⇒ x√2 + 0 = -5

Divide by √2 from both the side of the expression,

x√2/√2= -5/√2

⇒x = -5/√2

Multiply and divide by √2 on right-hand side we get

⇒ x = -5√2/ (√2×√2)

⇒ x= -5√2/2

Therefore, value of x for the given expression x√2 + 3 = -2 is equal to

(- 5√2)/2.

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After much tinkering, Jaylen's time machine finally works! For his first trip,
Jaylen will travel 25 years into the future. If his time machine uses 3
kilowatts of power to transport him 1 month into the future, how many
kilowatts of power will it use for his first trip?

Answers

Answer:

900kW

Step-by-step explanation:

3kW = 1 month

xkW = 25 years

First, change 25 years into months:

12 months = 1 year

Therefore,

25 years = 12 × 25

= 300 months

If

3kW = 1 month

x = 300 months

cross-multiply

Hence,

1 monthX = 300 months × 3kW

= 900kW months

Divide both sides by the coefficient of X

X = 900kW months / 1 month

= 900kW

Therefore, Jalen's first trip will take 900kW

solve for the volume of the cylinders and sphere.

Answers

The volume of the cylinder with radius(r) 7 inches and height(h) 9 inches

is 1384.74 cubic inches.

What is a cylindrical shape?

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, a cylindrical shape of radius(r) 7 inches and height(h) 9 inches.

We know the volume of a cylinder is πr²h.

∴ The volume of this cylinder is

= π×(7)²×9 cubic inches.

= 441π cubic inches.

= 1384.74 cubic inches.

For the volume of a sphere, it is (4/3)πr³.

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I need help with please!!!!

Answers

Answer: -5/2

Step-by-step explanation:

Using slope formula which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] you can substitute in the numbers which leads you to getting [tex]\frac{-1-4}{-3-(-5)}[/tex] which equals to -5/2

solve the following quadratic equation 4x^2-31x-33=12

Answers

x = 9, -5/4
This should be the correct answer

The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 97% of the people who have a disease. However, it erroneously gives a positive reaction for 5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease". What is the probability of type i error if the new blood test is used?.

Answers

The probability of type I error if the new blood test is used is 0.05

Given data;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested who do not have the condition received an incorrectly positive response. Take into account the null hypothesis that "the person does not have the disease."

The probability that the blood test report will be positive if someone has the disease = 0.97 The probability that the blood test report will be positive if someone does not have the disease is = 0.05

The null hypothesis is: "The individual does not have the disease."

The type I error occurs when we reject the null hypothesis, but it was true in reality.

Therefore, the probability of type I error = The probability that the blood test report will be positive if someone does not have the disease.

⇒ 0.05

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Write the equation of the parabola that has vertex (-5,6) and directrix y=2.

Answers

The equation of parabola is ( x + 5 )² = 16 ( y - 6 )

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k - p

Given data ,

The vertex of the parabola is ( -5 , 6 )

The directrix of the parabola y = 2

From the equations of parabola , we know that

The vertex ( h , k ) = ( -5 , 6 )

h = -5

k = 6

y = k - p

y = 2

k - p = 2

Substituting the value k in the equation , we get

6 - p = 2

On Simplifying , we get

p = 4

So , now we have the values of h , k , and p

The equation of the parabola is

( x - h )² = 4p ( y - k )

Substituting the values , we get

( x - (-5) )² = 4 x 4 ( y - 6 )

( x + 5 )² = 16 ( y - 6 )

x² + 25 + 10x = 16y - 96

x² + 10x - 16y = -121

Hence , the equation of parabola is ( x + 5 )² = 16 ( y - 6 )

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One moving company charges $19.85 plus $0.20 per mile to rent a van. The company also rents truck for $24.95 plus $0.17 per mile. At how many miles is the price the same for renting vehicles?

Answers

answer:19.8 should be the answer?

Step-by-step explanation:

a ____________ is a table in which frequencies correspond to two variables.

Answers

A contingency table is a table in which frequencies correspond to two variables.

Explanation:

In contingency table one variable is used to categorise rows and second variable is used to categories columns.In contingency table have at least two rows and at least two columns.

What is frequency table?

A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.

What does "two way frequency table" mean?

A two-way or contingency table is the name for this kind of table. A statistical table called a two-way or contingency table displays the observed number or frequency for two variables, with the rows denoting one category and the columns denoting the other. Example, the gender (male or female) row category.

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most phagocytes are types of white blood cells, but not all white blood cells participate in this process. select the cell types that are actively phagocytic. view available hint(s)for part a most phagocytes are types of white blood cells, but not all white blood cells participate in this process.select the cell types that are actively phagocytic. neutrophil b lymphocyte macrophage erythrocyte dendritic cell basophil eosinophil t lymphocyte Could some help me please Design a program to determine if a student is entitled to an incentive granted upon payment of his/her Boarding Fee in full. Accept the boarding fee and the amount paid. Output a message stating whether the incentive will be granted. (Required: IPO Chart) Alaska's vast Denali National Park is divided into designated tracts of wilderness, some as big as whole counties. Snowfields and glaciers on the northern face of the Alaska Range mountains feed wide-braided rivers that cut valleys through tundra. The landscape is treeless and trail-less as far as you can see, and far beyond. There are no markers or signposts to designate where one tract ends and another begins. They appear only on maps for the purpose of allotting back-country hiking permits. A portion of one of the tracts is even more special. It's off-limits. It's called Sable Pass, 60 or so square miles of lumpy tundra protected against human intrusion, except for scientists who have carved themselves an exemption. The purpose is to give wildlife one true sanctuary from people. Sable Pass is in my thoughts because the last of the nation's public lands are in political play these days, and too often we limit the discussion to how these lands should be "used." Backpackers versus Jeeps. Oil drilling versus caribou. Tree cutters versus tree huggers. Jobs versus recreation. I would feel better about the future if our political debate about public lands accounted for the intangible, but vital, need for wilderness. Not just for nature's sake but for the sake of our souls. Can elk live on pastures with cows? Yes. Can caribou co-exist with oil rigs? They do. Grizzly bears can live in garbage dumps too. But wilderness, true wilderness, does not exist with cow pastures and oil rigs and garbage dumps. Wilderness is not defined by how it can be used. Like Sable Pass, wilderness is about not using it at all. Except to preserve our diminishing sense of wonder.8Based on the tone of this passage, the author is most likely a member of which group? A. an organization for farmers B. a logging company C. a garbage collection agency D. a hiking and camping club Invading microbes usually need to overcome host defenses in which following order?. a purely competitive firm finds that the market price for its product is $20. it has a fixed cost of $100 and a variable cost of $10 per unit for the first 50 units and then $25 per unit for all successive units. does price exceed average variable cost for the first 50 units? for the first 100 units? what is the marginal cost per unit for the first 50 units? the marginal cost for units 51 and higher? for each of the first 50 units, does mr exceed mc? is mr > mc for units 51 and higher? what output level will yield the largest possible profit for this purely competitive firm? a particular fibroblast mutation fails to move to the site of infection. it is discovered that this mutation causes a particular protein to be absent, which leads to premature actin mrna translation. which protein is most likely absent due to the mutation? Mar. 1) Egert invested $159,000 cash along with $22,300 in office equipment in the company. HELPPP 50 POINTSsssssssQuestion of the day explain the existence of legends? why were they created? Question 3(Multiple Choice Worth 2 points)(Pythagorean Theorem MC)Determine which set of side measurements could be used to form a right triangle.O4, 8, 11O6, 8, 13O3, 5, 8O3, 13, 4PLEASE HELP WILL GIVE BRAINLIST Explain the possible metaphorical significance for Skeeter of the hair product used in chapters eight and nine called the Shinalator. If oxygen were to be studied instead of carbon, in what direction would oxygen go through a cycle?a) plant to detritivore b) plant to animalc) animal to detritivored) animal to animal THE chateau into which my valet had ventured to make a forcible entrance, rather than permit me, in my desperately wounded condition, to pass a night in the open air, was one of those piles of commingled gloom and grandeur which have so long frowned among the Apennines, not less in fact than in the fancy of Mrs. Radcliffe. To all appearance, it had been temporarily and very lately abandoned."Which adjective best describes the tone of the story as introduced in the first paragraph?Question 3 options:upliftingconfusingneutraldepressing several possibilities have been suggested for the support of life on titan, including methane rivers and lakes, and the possible presence of subsurface, liquid water aquifers. if life were present in these two different liquid reservoirs, what might be the key differences between them, and why? Why are zebra mussels located primarily in areas in the eastern united states rather than in the western united states?. you are trying to open a door that is stuck by pulling on the doorknob in a direction perpendicular to the door. if you instead tie a rope to the doorknob and then continue to pull in the same direction (i.e., perpendicular to the door) with the same force, how does the torque you exert on the door change? Select the correct answer from each dropdown menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator? If you made a voltaic cell out of this reaction, what half-reaction would be occurring at the cathode, and what half-reaction would be occurring at the anode?. Which of the following statements regarding the acute abdomen is correct?A. The parietal peritoneum is typically the first abdominal layer that becomes inflamed or irritated.B. An acute abdomen almost always occurs as the result of blunt trauma to solid abdominal organs.C. The initial pain associated with an acute abdomen tends to be vague and poorly localized.D. The most common cause of an acute abdomen is inflammation of the gallbladder and liver. a study was made on the effects of several health additives for a number of elite runners, the results of a one-way anova are presented in the following table. how many additives were in the study? source df sum of squares ms between 3 55.00 within 15 450.50 total 18 505.50 Which of the following lists correctly identifies the Earths four spheres?A.lithosphere, biosphere, asthenosphere, troposphereB.atmosphere, lithosphere, hydrosphere, biosphereC.lithosphere, hydrosphere, troposphere, atmosphereD.atmosphere, asthenosphere, exosphere, lithosphere