Find the requested measurement. Use 3.14 and round your answer to the nearest hundredth

Find The Requested Measurement. Use 3.14 And Round Your Answer To The Nearest Hundredth
Find The Requested Measurement. Use 3.14 And Round Your Answer To The Nearest Hundredth

Answers

Answer 1

Answer:

C) 20.72 (Question 1: Solve for Circumference)

Step-by-step explanation:

Question 1:

Using the formula:

[tex]C=2\pi r[/tex]

-  C = circumference- π = the constant pi- r = radius of the circle

Given radius:

⇒ r = 3.3

[tex]C=2\pi r[/tex]

[tex]2\times\pi\times3.3[/tex]

≈ [tex]20.73451[/tex]

Rounding, 20.72.

Thanks.


Related Questions

20. You buy 4 online games for $0.99 each. You make 2 in-game purchases for
$3.99 each. What is the total you spent on games?

Answers

Answer: $11.94

Step-by-step explanation: 4 x 0.99 = $3.96 and then 2 x $3.99 = $7.98 now $7.98 + $3.96 = $11.94

Explain the steps in solving 2.14x - 12.18 = -5.76, and write the solution to the equation.
WRITER
Someone please help me with this!!!

Answers

Answer:

x = 3

Step-by-step explanation:

You want to solve for x, so you want to get x on one side of the equation. To do this, you can add the -12.18 to both sides of the equation (you add since it's negative).

2.14x - 12.18 = -5.76

2.14x = 6.42

Then you want to get x by itself, without the 2.14 in front of it. To do this, you can divide both sides of the equation by 2.14.

This will give you,

x = 3

simplify the expression: 5(1+2m)

Answers

Answer:

Hi!

The answer would be: 5 + 10m

I hope this helped you! :)

Answer:

[tex]\bf 5+10m[/tex]

Step-by-step explanation:

[tex]\bf 5\left(1+2m\right)[/tex]

Apply the distributive law:-

[tex]\bf 5\left(1+2m\right)=5\times \:1+5\times\:2m[/tex]

[tex]\bf 5\times\:1+5\times \:2m[/tex]

[tex]\bf 5+10m[/tex]

___________________

Hope  this helps!

Have a good one!

determine the sample size needed to construct a 95 % confidence interval to estimate the population proportion is 0.54, and the margin of error is 0.06. use two decimal places for the critical value and round to the nearest integer for your final answer. eg. 48.47

Answers

The sample size needed is at least 311.17.

We have that to find our α level, that is the subtraction of 1 by the confidence interval divided by 2. So:

α = [tex]\frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of 1-α

So it is z with a p-value of , so

1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

[tex]M = z*\frac{sd}{\sqrt{n} }[/tex]

where sd = σ = standard deviation

At least n, in which N is found when M= 0.06 and σ = 0.54. So

 [tex]M = z*\frac{sd}{\sqrt{n} } \\0.06 = 1.96 * \frac{0.54}{\sqrt{n}} \\\sqrt{n} = \frac{1.96*0.54}{0.06} \\\sqrt{n} = 17.64\\n = 311.1696\\[/tex]

Rounding off to the nearest integer, we get n = 311.17.

Thus, the sample size needed is at least 311.17.

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Output(y) 8 less than 3 times x

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

Suppose a simple random sample of 30 students from this district is selected. What is the probability that at least half of them have brown eyes? (Use technology. Round your answer to three decimal places.)

Answers

In the simple random sample, the probability that at least half of the students have brown eyes is 0.400

How to calculate probability of an event at a particular time?

Probability is defined as the chance of occurrence of an event.

Probability is defined as follows:

P(E)=[tex]\frac{no of required outcome}{total of possible outcomes}[/tex]

The given parameters are:

The sample size= 30 students

Number with brown eye=40%

40% x 30 = [tex]\frac{40}{100} * 30[/tex]

=12

This means that there 12 students out of 30 that have brown eyes.

Applying the probability formula

[tex]\frac{12}{30}[/tex]= 2/5

In conclusion 0.400 of the students have brown eyes.

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Question

the third term of GP is 4 the product of its first 5 term is
please solve it
Don't Spam ​

Answers

[tex] \huge{ \bold{ \color{purple}{Solution }}}[/tex]

Let a be the first term and r be the common ratio

Now,

[tex] \large{ \sf{T _3 = 4}}[/tex]

[tex] \large{ \sf{ {ar}^{2} = 4}}[/tex]

[tex]\large{ \sf{ \therefore \: product \: of \: first \: 5 \: term \: = a _1 \times a_2 \times a_3 \times a_4 \times \: a _5}}[/tex]

[tex] \large{ \sf{ = a(ar)( {ar}^{2} )( {ar}^{3} )( {ar}^{4} ) = {a}^{5} r {}^{10} }}[/tex]

[tex] \large{ \sf{ \red{(ar {}^{2} ) {}^{5} = {4}^{5} }}}[/tex]

[tex] \rule{150pt}{5pt}[/tex]

(a) Solve the given inequality 3 (x +2) ≥ 5 (x + 1).
(b) Find the greatest possible value of x, if it is;
1. a rational number
2. an integer
3. a prime number

Answers

3x + 6 >= 5x + 5
3x - 5x >= 5 - 6
-2x >= -1
x <= -1/-2 = 0.5

If x is rational then greatest x = 1/2
If x is an integer then greatest x = 0
If x is prime then there is no valid value of x

Use the image below to answer the next two questions.
ABCD pictured below is a square.
Categorize the angles as either 45° or 90°.

Answers

The measure of angle ABC is 90° and the the measure of angle BDC is 45°.

Square ABCD is given.

What is a square?

A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.

Diagonals bisects the angles in square and intersect each other at right angle.

Now, ∠ABC=90°

∠AED=90°

∠BAC=45°

∠DBC=45°

∠BDC=45°

Hence, the measure of angle ABC is 90° and the the measure of angle BDC is 45°.

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A football club sells, on average, 23000 tickets per match. In one season they play, on average, 46 matches.How many tickets do they sell, on average, each season?​

Answers

Answer:

On average, the football club sells 1,058,000 tickets per season.

Step-by-step explanation:

[tex]23000[/tex] × [tex]46 = 1058000[/tex]

Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1 (multiplicity 2) , 1+2i

Answers

Answer:

Factorization

Step-by-step explanation:

Write an equation for a rational function with:

Vertical asymptotes at x = 6 and x = 3

x intercepts at x = 1 and x = -1

y intercept at 5

Answers

Answer:

Making a fraction is the easiest way to do this.

The x-intercepts give solutions to a problem that equals zero.

The vertical asymptotes are values x cannot be, in a fraction the denominator can not be zero.

Horizontal asymptotes are the values y approaches. This can be accomplished by making the leading term have a coefficient of 6

Step-by-step explanation:

b is the midpoint of segment ac. a has coordinates (-3, 4) and b has coordinates (-1 1/2, 1). find the coordinates of c

Answers

The coordinates point C of the given line segment AC is C(0, -2) whose midpoint is at B.

How to calculate a midpoint of a line segment?

To calculate the midpoint of a line segment, find the average for the coordinates of the endpoints of the line segment. I.e.,

Consider a line segment AC, B is its midpoint.

So, the coordinates of B are (Where we have A(x1, y1) and C(x2, y2))

B(x, y) = [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]

Calculation:

It is given that, B is the midpoint of a line segment AC.

Where A has coordinates as (-3, 4) and B has coordinates as (-1 1/2, 1).

So, the coordinates of the other end point C of the given line segment are calculated as

B(x, y) = [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]

⇒ (-1.5, 1) = [tex](\frac{-3+x2}{2}, \frac{4+y2}{2})[/tex]

⇒ -1.5 = (-3 + x2)/2 and 1 = (4 + y2)/2

⇒ -3 = -3 + x2 and 2 = 4 + y2

⇒ x2 = 0 and y2 = 2 - 4 = -2

Therefore, point C has coordinates as (0, -2).

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a) Work out the minimum number of dogs that could have a mass of more than 24 kg
b) Work out the maximum number of dogs that could have a mass of more than 24 kg}.
Mass(kg) Frequency
0≤x<10 2
10≤x<20 7
20≤x<30 12
30≤x<40 6

Answers

a) A minimum number of dogs that could have a mass of more than 24 kg is 6.

b) The maximum number of dogs that could have a mass of more than 18 kg is 20.

How to find the minimum and maximum value mean?

We will rearrange the function using fundamental algebraic concepts to process the value of x when the derivative equals 0. This response gives  us the x-coordinate of the function's vertex, which is the point that  the maximum or minimum will occur. To find the minimum or maximum, we will start by rewriting the solution into the original function.

From the given parameters, we can see that the minimum of the values present in the interval 20 to 40 is 6

From the given parameters, we can see that the maximum of the values present in the interval 20 to 40 is;

(12 + 6) = 18

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Need quick
Foci: (-2, 0) and (2, 0)
Length of major axis: 8
Find equation of ellipse

Answers

The equation of the ellipse is x²/8² + y²/(2√15)² = 1.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

Foci: (-2, 0) and (2, 0)

Length of major axis: 8

The equation of an ellipse.

x²/a² + y²/b² = 1

Where a is the major axis and b is the minor axis.

Now,

b² + c² = a²

c = 2

a = 8

b² = a² - c²

b² = 64 - 4

b² = 60

b = √60

b = √(4 x 15)

b = 2√15

Now,

x²/a² + y²/b² = 1

x²/8² + y²/(2√15)² = 1

Thus,

The ellipse equation is x²/8² + y²/(2√15)² = 1.

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Write this ratio as a fraction in simplest form without any units 27 feet to 8 yards

Answers

The ratio of 27 feet to 8 yards is 9/8 while converting feet to yards and the ratio is also 9/8 while converting yards to feet.

What are yards and feet?

Yards and feet are units use to measure the length of geometrical shapes.

1 foot equal to 0.333 yards and similarly 1 yard equal to 3 feet. There is proportional relationship between them.

what did you get from the above fraction value?

We got the same fraction value from the ratio of two units which implies that the two units are proportional.

1 foot =0.333 yard so

27 feet = 9 yards

similarly, 1 yard = 3 feet

so, 8 yard = 24 feet

hence, the ratio is 9/8

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7. What is the equation of a line that is parallel to -x+3 y=6 and passes through the point (3,5) ?
y=___ x +_____

Answers

The equation of a line that is parallel to -x + 3y = 6 and passes through the point (3,5) is y = 1 / 3 x + 5

How to find the equation of a line?

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3,5) can be found as follows:

Parallel lines have the same slope.

-x + 3y = 6

3y = x + 6

y = 1  / 3 x + 2

Therefore, the slope is 1 / 3. Let's find the y-intercept using (3, 5).

y = 1 / 3 x + b

5 = 1 / 3 (3) + b

b = 5

Therefore, the equation is y = 1 / 3 x + 5

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213. Sandy has 1 quart and 1 pint of soda.
How many cups can she divide this
amount into?

Answers

If 2 cups make 1 pint, and 2 pints makes 1 quart which would be 4 cups, then 1 pint + 1 quart would be equal to 3 pints. 2 x 3 = 6 ….. So, there are 6 cups of soda.

1 pint = 2 cups
1 quart = 4 cups

Sandy Sandy can divid 1 pint and 1 quart into 6 cups of Soda.

Find the volume of the solid. When appropriate, use 3.14 and round to the nearest hundredth.

Answers

Answer:

904.32 cm³

Step-by-step explanation:

Assuming 12cm is the diameter.

The given solid is a sphere, we must find the volume.

Given radius:

[tex]6[/tex]6

Use the equation [tex]v=\frac{4}{3} \pi r^3[/tex] to find the volume of the sphere.

[tex]\frac{4}{3} \times\pi\times6^3[/tex]

≈ 904.77868

Rounding, 904.32 cm³

Simplify. (3x² - 2x + 2) - (x² + 5x-5) A. 2x² - 7x+7 B. 2x²-3x - 3 C. 2x² + 3x - 3 D. 4x² + 3x 3​

Answers

The equivalent expression is  2x² - 7x + 7

Option A is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

2x + 6 - 9 is an expression.

3x = 9 is an expression.

We have,

(3x² - 2x + 2) - (x² + 5x - 5)

Remove the parenthesis.

3x² - 2x + 2 - x² - 5x + 5

Add like terms.

2x² - 2x + 2 - 5x + 5

Add like terms

2x² - 7x + 7

Thus,

The final expression is 2x² - 7x + 7

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plssss helpppp right answers only and explaintion.

Answers

The equivalent of the expression 2³/2⁷ using the law of indices is (a) 1/2⁴

How to determine the equivalent expression?

From the question, we have the following parameters that can be used in our computation:

2³/2⁷

The above expression can be solved using the law of indices

When the law of indices is applied, we have the following representation

2³/2⁷ = 2(³ ⁻ ⁷)

Remove the bracket in the above expression

So, we have the following representation

2³/2⁷ = 2³ ⁻ ⁷

Evaluate the difference

This gives

2³/2⁷ = 2⁻⁴

Rewrite as

2³/2⁷ = 1/2⁴

Hence, the solution is (a) 1/2⁴

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Question 5 id points
Do not round or enter wards, use a decimal answer.
You are playing a carnival game. You will spin the two spinners below.
Rule 1: To win the grand prize, you need to spin an "A" and a "1". What is the probability that you win a bōsic prize?
Answer:
Rule 2: To win you a basic prize, you need to spin an "A" or a "1". What is the probability that you win a basic prize?

Answers

Probability of winning a grand prize is 1/10

Probability of winning a basic prize is 11/20

What is the probability of two independent events?

If A and B are two independent events, then P(A and B) = P(A) * P(B).

If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).

Solution:

P(A) = no. of A / total possibility

      = 4/10

P(B) = no. of 1's/total possibility

      = 3/12

     =  1/4

Now,

To win a grand prize you need an "A" and "1" .

∴ P(A and B) = P(A) × P(B)

                    = 4/10 × 1/4

         P(A and B) = 1/10

Now ,

To win a basic prize you need to spin an "A" or a "1"

∴ P(A or B) = P(A) + P(B) - P(A and B)

                  = 4/10 + 1/4 - 1/10

                  = 3/10 + 1/4

∴ P(A or B)=  11/20

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Probability of winning a grand prize is 1/10

Probability of winning a basic prize is 11/20

What is the probability of two independent events?

If A and B are two independent events, then P(A and B) = P(A) * P(B).

If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).

Evaluating :

P(A) = no. of A / total possibility

    = 4/10

P(B) = no. of 1's/total possibility

     = 3/12

    =  1/4

Now,

To win a grand prize you need an "A" and "1" .

∴ P(A and B) = P(A) × P(B)

                   = 4/10 × 1/4

        P(A and B) = 1/10

Now ,

To win a basic prize you need to spin an "A" or a "1"

∴ P(A or B) = P(A) + P(B) - P(A and B)

                 = 4/10 + 1/4 - 1/10

                 = 3/10 + 1/4

∴ P(A or B)=  11/20

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Where does the line f(x) = x-1 cross the parabola g(x) = (x+2)^2-9?

Answers

Answer:

The line and the parabola cross at x = -4 and x = 1

Step-by-step explanation:

Set f(x) = g(x)

[tex]x-1 = (x+2)^2-9\\x - 1 = x^2+4x+4-9\\x = x^2 + 4x - 4\\0 = x^2 + 3x - 4\\Factor\\0 = (x - 1) (x + 4)\\x = 1, -4[/tex]

A employee must create 140 gallons of slash burn fuel that must have a ratio of 8 parts diesel to 2 parts gas. How much diesel and gas are needed to create this mixture?

Answers

The amount of diesel required to create slash burn fuel is = 112 gallons

The amount of gas required to create slash burn fuel = 28 gallons

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

The total amount of slash fuel = 140 gallons

The ratio of diesel to gas in slash fuel is = 8 : 2

Let the amount of diesel required to create slash burn fuel be = 8x

Let the amount of gas required to create slash burn fuel be = 2x

So , the equation of proportion is given by

Total amount of slash fuel = amount of diesel required to create slash burn fuel + amount of gas required to create slash burn fuel

Substituting the values in the equation , we get

Total amount of slash fuel = 8x + 2x

8x + 2x = 140

10x = 140

Divide by 10 on both sides of the equation , we get

x = 14 gallons

Substituting the value of x in the above expressions , we get

Amount of diesel required to create slash burn fuel = 8x

Amount of diesel required to create slash burn fuel = 8 x 14

Amount of diesel required to create slash burn fuel = 112 gallons

And ,

Amount of gas required to create slash burn fuel = 2x

Amount of gas required to create slash burn fuel = 2 x 14

Amount of gas required to create slash burn fuel = 28 gallons

Hence ,

The amount of diesel required to create slash burn fuel is = 112 gallons

The amount of gas required to create slash burn fuel = 28 gallons

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Write an inequality with x isolated on the left side that is equivalent to the given inequality.
Fx+Wy>R; Assume F > 0.
The equivalent inequality with x isolated on the left side is

Need help asap

Answers

The inequality Fx + Wy > R written with x isolated to the left sides is

x > (R - Wy) / F

How to write the inequality with x isolated to the left hand side

Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.

The signs used in inequality are of 4 types namely

less thangreater thanless than or equal togreater than or equal to

The given inequality in the problem has greater than sign and it is written as Fx + Wy > R

rearranging the inequality gives

Fx + Wy > R

Fx > R - Wy

divide through by F

Fx / F> R/F - Wy/F

x > (R - Wy) / F

isolating x to the left side gives  x > (R - Wy) / F

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Simplify to create an equivalent expression.
2(-n -3) -7(5+2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

There is a fee to enter the county fair, plus a fixed amount to play each game. The
line shows the money spent at the fair, y, when a games are played.
Money Spent at the Fair
Money Spent ($)
y



Write an equation for the line in slope-intercept form.
Drag a number into each box to write the equation.
Y

Answers

An equation for the line in slope-intercept form is y=(6/5)x+8

What is a slope?

The same number is given for every two different points on the same line when the ratio is stated as a quotient ("rise over run"). On a falling line, there is a negative "rise." In a diagram that depicts a roof or a road as a description or a design, the line may be practical as established by a road surveyor.

The steepness, incline, or grade of a line can be approximated by the slope's absolute value. The slope of a line determines how steep it is.

From the graph,

The line passes through the points (0,8) and (5, 14)

Slope m=(14-8)/(5-0)

m=6/5

(0, 8) passes through the line y=mx+c

So, 8=6(0)/5+c

Then, c=8

An equation for the line in slope-intercept form is y=(6/5)x+8.

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Christian went into a movie theater and bought 8 drinks and 10 candies, costing a total of $94. Dianelys went into the same movie theater and bought 9 drinks and 6 candies, costing a total of $79.50. Write a system of equations that could be used to determine the price of each drink and the price of each candy. Define the variables that you use to write the system.

Answers

The cost of each drink is $5.5

The cost of each candy is $5

What is elimination method ?

Using the elimination method, you may either add or subtract the equations to produce an equation in one variable. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

According to the given information

Let number of drinks = x

Let number of candies = y

Christian bought 8 drinks and 10 candies and it costed $94

So the equation becomes

8x + 10 y = $94

Other guy bought 9 drinks and 6 candies and it costed $79.50

So the equation becomes

9x + 6y = $79.50

By applying elimination method

9x + 6y = $79.50

Dividing by 2

3x + 2y = $26.5

multiplying the above equation by 5

15x + 10y =  $132.5

8x + 10 y = $94

Subtract the following equation

7x = 38.5

x = 5.5

substituting the value of x in above one equation we get

y = 5

So the cost of each drink is $5.5

the cost of each candy is $5

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Answer:

D = the price of each drink

C = The price of each candy

One drink costs d. So 8 drinks cost 8d. Same thing with candies except a different variable. One candy costs c. Therefore 10 candies cost 10c. So the first equation here would be :

8d + 10c = 94

Same thing with the second equation but with different numbers :

9d + 6c = 79.50

If you're also looking for a solution to this answer. You use a process called the elimination method.

Let me know if you have any questions ! <3

Consider the expression 40+24 . Find the greatest common factor of the two numbers, and rewrite the expression using the distributive property.

Answers

The greatest common factor of 40 and 24 would be; 8.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers as;

8(5 + 3)

Using the distributive property, we get:

8(5) + 8(3) = 40 + 24.

Threfore,

The greatest common factor of 40 and 24 would be; 8.

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help!! please! i don’t understand

Answers

Answer:

[tex] 2 \sqrt[3] {60}~mm [/tex]

Step-by-step explanation:

The volume of a cube is the side cubed, so each edge is the cubic root of the volume.

V = 480 mm³

[tex] s = \sqrt[3] {V} [/tex]

[tex] s = \sqrt[3] {480~mm^3} [/tex]

[tex] s = \sqrt[3] {2^3 \times 2^2 \times 3 \times 5~mm^3} [/tex]

[tex] s = \sqrt[3] {2^3} \times \sqrt[3] {2^2 \times 3 \times 5~mm^3} [/tex]

[tex] s = 2 \sqrt[3] {60}~mm [/tex]

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The most common clefs for high notes are what? soprano treble bass alto a client is seeking advice for his pregnant wife who is experiencing mild elevations in blood pressure. in which position should a nurse recommend the pregnant client rest? Give a scenario where choosing a large file system block size might be a benefit; give an example where it might be a hindrance. Which efferent pathway has a single nerve fiber extending from the cns to effector?. What are the values of self-exploration? Railroads were slow in coming to Texas because a. steam locomotives frightened horses. b. war with American Indians made it dangerous to lay track. c. of difficulty in raising the money to build them. d. steamboats were much more efficient. We can reduce the margin of error in an interval estimate of p by doing any of the following except: a. reducing the confidence coefficient. b. increasing the planning value p* to .5. c. increasing the level of significance. d. increasing the sample size. a bank has a 10 percent reserve requirement, $36,000 in loans, and has loaned out all it can, given the reserve requirement. The offspring of two true-breeding parents that differ in a single character are called single-character hybrids, or. This question is based on a time when people needed to log in to email servers to write emails. Assume that Adam logs in to an email server at time zero. He then spends his time exclusively on writing emails. The times that his emails are sent can be modeled by a Poisson process with a rate A/hour. His friend Brianna also logs in to the server at time 1 (which means 1 hour later) and starts typing emails independently of Adam. The time that her emails are sent also can be modeled by a Poisson process with a rate B/hour. (a) (6 points) LetY 1, andY 2be the times at which Adam's first and second emails were sent. FindE[Y 2Y 1](b) (8 points) Similar to the last question, letY 1andY 2be the times at which Adam's first and second emails were sent. When Brianna logs in to the server, you are told that Adam has sent exactly one email so far. (b.1) (4 points) What is the conditional expectation ofY 1given this information? (b.2) (4 points) What is the conditional expectation ofY 2given this information? (c) (8 points) Find out the PMF of the total number of emails sent by two of them together during the interval of[0,2](which means in the first two hours). (d) (8 points) Given that a total of 10 emails were sent during the period of[0,2](the first two hours), what is the probability that exactly four emails were sent by Adam? (e) (10 points) Suppose that A=4. Use Chebyshev's (4 points) and Markov's (4 points) inequality to find upper bounds on the probability that Adam sent at least five emails during the time interval [0, 1 ]. Which one provides a better bound ( 2 points)? sin 0 = 5/13 find tan 0 A 13/12 B 12/5 C 5/12 D 12/13 Witch statement describes the term economics To ensure that the group can control their members' behavior and channel them in the direction of high performance and group goal accomplishment, the group should require ________.a. devianceb. conformityc. dispositional attributiond. groupthink Please help I am not good at Shakespeare stuff tomika is a network architect. a coworker is helping to design a more secure placement of the company's virtual private network (vpn) device. the coworker suggests that the device be placed between the internet-facing firewall and the internal network. what is tomika's opinion of this deployment strategy? How much 0. 02500 m nitric acid solution (in mL) is needed to titrate 125. 0 ml of a 0. 01000 M calcium hydroxide solution Rony spent 20% of his salary on a wallet. He bought a bag which cost $20 more than the wallet. He also bought a pair of shoes. The ratio of the cost of the wallet to the cost of the pair of shoes was 5:6. He then had $844 left.(a) What was his monthly salary?(b) Express the amount of money he spent on the pair of shoes as a fraction of his monthly salary in its simplest form. A helper T-lymphocyte becomes activated by a(n):Plasma cellAntigen presenting cellB-lymphocyteMemory cell what test requires that the totality of circumstances in each case show that before suspects talked, they knew they had rights and knew they were giving them up? How are the male and female reproductive systems similar in function, organs and organ structure, andhormones?