HELPP Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. Explain what most likely happened in Sandy's experiment.

Sandy's experimental probability was closest to the theoretical probability in the experiment with 100 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 500 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

Answers

Answer 1

Answer:

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.


Related Questions

Can someone help me and show the work

Answers

ans is 90 and 30

Step-by-step explanation:

LN=90° (right angle)

MN=30°(DO THE MATH)

Marshall divides his money into four categories. He saves of his money. He gives of his money to a charity. He uses of his money to buy snacks at school, and he spends of his money on fun. What fraction of his money does he save and spend on fun?

Answers

Answer:

Marshall saves 1/4 of his money and spends 1/4 of his money on fun. Therefore, he saves and spends 1/4 + 1/4 = 1/2 or 50% of his money on those two categories.

Step-by-step explanation:

Heidi has made a sequence of patterns using tiles. use the rule to find out how many tiles there are in the 7th pattern.

Answers

Answer:

29 is the correct answer

Which is a correct solution for the following system of Inequalities

HELPP DUE IN 30MIN

Answers

Answer:

I think the answer is A

1,2

what is the opposite value of Owen's score?

Answers

Answer:

Davids Score

Step-by-step explanation:

Using standard British coins, list the number of different ways to pay 10p.
[Note: A: (2p, 1p, 1p, 2p, 1p, 2p, 1p) is not considered to be different
from B: {1p, 2p, 1p, 1p, 2p, 1p, 2p), both are just (3x2p, 4x1p}.]

Answers

The number of different combinations to pay 10p with British coins is given as follows:

6.

How to obtain the number of different combinations to pay 10 pounds with British coins?

The British coins are defined as follows:

1p: one pound coin.2p: two pound coins.

Hence the different combinations to pay 10p with British coins are given as follows:

10 one pound coins.1 two pound coins and 8 one pound coins.2 two pound coins and 6 one pound coins.3 two pound coins and 4 one pound coins.4 two pound coins and 2 one pound coins.5 two pound coins and 0 one pound coins.

Which means that the number of combinations is of six, and the six combinations are the ones listed by the bullet points, above.

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A man weighs 95 kg and starts an exercise and eating programme to lose weight. If he sticks to the programme, he will lose 0,4 kg per week. Calculate how much he will weigh after 36 weeks.​

Answers

The weight after 36 weeks is 80.6 kg.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, a man weighs 95 kg and starts an exercise and eating programme to lose weight.

Let the number of weeks be x.

Now, the expression is 95-0.4x

Here, x=36

95-0.4×36

= 95-14.4

= 80.6 kg

Therefore, the weight after 36 weeks is 80.6 kg.

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What is the scale factor of 10 cm 5m?

Answers

You want to build a structure with a length of 5 m, where the proportions of other dimensions are conserved. Estimate the scale factor, 10 cm / 5 m = 0.02 .

How do you figure out the scale factor?

The scale factor is a number that represents the ratio of the measurements of two similar figures, such as geometric shapes or maps. To find the scale factor, you can compare corresponding side lengths or angles of the two figures. The scale factor is the ratio of the length of a side in one figure to the corresponding side in the other figure. You can also find the scale factor by taking the square root of the ratio of the areas or the ratio of the volumes of the two similar figures.

Once you have the scale factor, you can use it to find the missing measurements of a similar figure by multiplying any measurement of one figure by the scale factor. In summary, the scale factor is a numerical value that allows to relate the measurements of two similar figures.

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Suppose that the functions and are defined for all real numbers as follows.
Write the expressions for and and evaluate .
(s+t)(x)=
(s*t)(x)=
(s-t)(-1)=

Answers

The expression (s+t)(x) is equal to the sum of the functions s(x) and t(x), the expression (s*t)(x) is equal to the product of the functions s(x) and t(x), and the expression (s-t)(-1) is equal to the difference between the functions s(-1) and t(-1). When evaluating (s+t)(-1) we get the result 0.

(s+t)(x)=s(x)+t(x)

(s*t)(x)=s(x)*t(x)

(s-t)(-1)=s(-1)-t(-1)

(s+t)(-1)=s(-1)+t(-1)=-2+2=0

(s+t)(x) = s(x)+t(x)

This means that the expression (s+t)(x) is equal to the sum of the functions s(x) and t(x).

(s*t)(x) = s(x)*t(x)

This means that the expression (s*t)(x) is equal to the product of the functions s(x) and t(x).

(s-t)(-1) = s(-1)-t(-1)

This means that the expression (s-t)(-1) is equal to the difference between the functions s(-1) and t(-1).

Finally, when we evaluate (s+t)(-1) we get s(-1)+t(-1)=-2+2=0.

The expression (s+t)(x) is equal to the sum of the functions s(x) and t(x), the expression (s*t)(x) is equal to the product of the functions s(x) and t(x), and the expression (s-t)(-1) is equal to the difference between the functions s(-1) and t(-1). When evaluating (s+t)(-1) we get the result 0.

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(PLEASE HELP QUICKLY) At a particular restaurant, each pizza roll has 55 calories and each mini hot dog has 70 calories. A combination meal with pizza rolls and mini hot dogs is shown to have 910 total calories and 12 more pizza rolls than mini hot dogs. Determine the number of pizza rolls in the combination meal and the number of mini hot dogs in the combination meal.

There are____ pizza rolls and ___ mini hot dogs in the combination meal.

Answers

Answer:

There are 14 pizza rolls and 2 mini hot dogs in the combination meal.

Step-by-step explanation:

From the question, we have the following parameters

Pizza roll = 55 calories each

Mini hotdog = 70 calories each

Combination meal = 910 calories in total

Let the pizza roll be x and the mini hotdog be y

So, we have

55x + 70y = 910

x = 12 + y

Make x the subject in x = 12 + y

x = 12 + y

Substitute x = 12 + y in 55x + 70y = 910

55(12 + y) + 70y = 910

Evaluate

660 + 55y + 70y = 910

So, we have

125y = 250

This gives

y = 2

Recall that

x = 12 + y

So, we have

x = 12 + 2

x = 14

Hence, there are 14 pizza rolls and 2 mini hot dogs

Lily i making moothie. Each moothie ue \tfrac{1}{2} 2 1 ​ cup of yogurt. How many cup of yogurt doe he need to make 3 moothie? Expre your anwer in implet form

Answers

Lily is making smoothie. Each smoothie 1/2 ​ cup of yogurt. The fraction is   [tex]1\frac{1}{2}[/tex] cup of yogurt does he need to make 3 smoothie.

Fraction:

Fractions represent parts of a whole. This whole thing can be a region or a collection. The word break comes from the Latin word "fraction" which means "to divide". The earliest civilization to study fractions, the Egyptians, used fractions to solve mathematical problems such as the division of food, supplies, and the lack of bullion currency.

In ancient Rome, fractions were written to represent parts of a whole using only words. In India, fractions were originally written with the numbers (numerator and denominator) on top of each other, but without lines. Arabs were the only ones who added the dash used to separate the numerator and the denomination.

According to the question:

Lily on the given conditions, formulate: 1/2 × 3

Write as a single fraction: [tex]\frac{1 * 3}{2}[/tex]

Calculate the product or quotient: 3/2

Convert to mixed fraction: [tex]1\frac{1}{2}[/tex]

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Why is the exponent 0 1?

Answers

The exponent 0 refers to the number being raised to the power of 0.

When any number, except 0, is raised to the power of 0, the result is always 1. This is known as the "zero power property" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^0 = 1

For example, 2^0 = 1, 5^0 = 1 and so on. This property holds true for any base a, including real numbers, complex numbers, and even matrices.

The exponent 1 refers to the number being raised to the power of 1. When any number is raised to the power of 1, the result is always the same as the number itself. This is known as the "identity property" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^1 = a

For example, 2^1 = 2, 5^1 = 5 and so on. This property holds true for any base a, including real numbers, complex numbers, and even matrices.

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given that 2x + 3y divideby 3x+4y ,find the ratio y : x

Answers

Although part of your question is missing, you might be referring to the question :

Given that 2x+3y / 3x+4y = 5, find the ratio of y:x

Given : 2x+3y / 3x+4y =5

To find : y : x

Solution :

(2x+3y) / (3x+4y) = 5, or

2x + 3y = 15x + 20y, or

-15x + 2x = 20y - 3y, or

-13x = 17y

Therefore, x/y = -17/13

Hence, y/x = -13/17

y : x = -13 : 17.

The answer is -13 : 17.

What is a polygon with 4 called?

Answers

A 4 polygon is a two-dimensional shape with four sides and four angles.

What is polygon?

Polygon is a closed figure in a plane made up of straight lines or curved lines that intersect in pairs. A polygon has at least three sides and angles. The sides can be of any length and the angles can be of any measure. Polygons are classified according to the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), etc. Polygons are used in many fields, from mathematics to engineering.

It is a type of quadrilateral, which is a polygon with four sides. Examples of 4 polygons include squares, rectangles, rhombuses, and trapezoids. All 4 polygons have four sides of equal length, and all their interior angles add up to 360 degrees.

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What is an equation of the line that passes through the points (3, 3) and (-1, 7)?

Answers

Answer:

the equation of the line = y + x -3 -3 = 0

Step-by-step explanation:

Equation of the line is give n by the formula

y - y¹ = m

x - x¹

note: m is the gradient.

Point = (3, 3) and (-1, 7).

Gradient =m= y2 - y1 = 7 - 3 = 4 = -1

x2 - x1 -1 -3 -4

the equation of the line

y - y1 = m

x - x1

y - 3 = -1

x - 3

note: Perform cross multiplication also remember every whole number is over one.

=y - 3 = -1 (x - 3)

=y - 3 = - x + 3

y + x - 3 - 3 = 0.

NEEDS HELP ASAP Figure B is a scaled copy of Figure A.

What is the scale factor from Figure to Figure B

Answers

Answer: 3

If you look at the left-most side on figure A, youll notice that it is 2 units long. On figure B, it is 6 units long. 2*x=6 where X is the scale factor. You'll find that X=3. YW BRO

What are 4 ways to find a midpoint?

Answers

The four ways to find the midpoint of a line segment are using the Midpoint Formula, using the Distance Formula, using a Graph, and using a Ruler.

Using the Midpoint Formula:

This method involves using the midpoint formula, which is (x1 + x2)/2, (y1 + y2)/2. This formula gives the coordinates of the midpoint when the coordinates of the two endpoints of the line segment are known.

Using the Distance Formula:

This method involves using the distance formula to find the distance between the two endpoints of the line segment and then dividing the distance by 2. The midpoint will be located at the point that is half the distance from each endpoint.

Using a Graph:

This method involves plotting the two endpoints of the line segment on a graph and then drawing a line segment connecting the two points. The midpoint of the line segment will be located at the point where the line segment is bisected.

Using a Ruler:

This method involves measuring the distance between the two endpoints of the line segment with a ruler or measuring tape, and then marking the point that is halfway between the two endpoints. The midpoint of the line segment will be located at the point that is marked.

All of these methods can be used to find the midpoint of a line segment, it depends on what information is given and what tools are available.

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PLease help me find the distance between AB BC and CA please help

Answers

The distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

The coordinates of A are (-18, -18)

coordinates of B are (20, 0)

coordinates of C are (-12, 16)

The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²

Distance AB=√(20-(-18))²+(0-18)²

=√(20+18))²+(0-18)²=√38²+18²

AB=√1444+324=√1768=42.04 units

Distance BC=√(-12-20)²+(16)²

=√(-32)²+(16)²=√1024+256

=√1280

=35.77

Distance CA=√(-12-(-18))²+(16+18)²

=√(6)²+(34)²

=√36+1156=34.5

Hence, the distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

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Identify the perimeter and area of an equilateral triangle with height 11 cm. Give your answer in simplest radical form.

Answers

The perimeter of an equilateral triangle is equal to three times the length of the side.  Perimeter = 33 cm and Area =  30.58 cm^2 (√30.58 cm^2)

Perimeter of an equilateral triangle = 3 x side  

=> 3 x 11 cm = 33 cm  

Area of an equilateral triangle = (√3/4) x (side^2)  

=> (√3/4) x (11 cm^2)  

=> (√3/4) x (121 cm^2)  

=> 30.58 cm^2  

=> √30.58 cm^2

The perimeter of an equilateral triangle is equal to three times the length of the side. Therefore, an equilateral triangle with a height of 11 cm will have a perimeter of 33 cm (3 x 11 cm). The area of an equilateral triangle can be calculated using the equation (√3/4) x (side^2). In this case, the area of the triangle is 30.58 cm^2 ((√3/4) x (11 cm^2)). This can be simplified to √30.58 cm^2 in its simplest radical form.

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Solve for x= 2 11/12x-5/6(x-2/5)

Answers

The value of the equation on x = 2 is 0.5

Given Quadratic equation,

[tex]= \frac{11}{12} x - \frac{5}{6}( x - \frac{2}{5})[/tex]

Put the value of x = 2 in the above equation and we get

[tex]= \frac{11}{12} *2 - \frac{5}{6}( 2 - \frac{2}{5})[/tex]

[tex]= \frac{11}{6} - \frac{5}{6} * \frac{8}{5}[/tex]

[tex]= \frac{11}{6} - \frac{4}{3}[/tex]

[tex]= \frac{1}{2}[/tex]

= 0.5

Therefore, the value of the equation on x = 2 is 0.5

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Troy had a number cube with the numbers 1-6 on it.Assuming each side is equal king likeley to appear when he rolls the cube,find the following probabilities. a(rolls a 2)

Answers

Answer:

P(2)= 1/6

P(odd)= 1/2

P(factor)= 2/3

When a scaled copy is bigger than the original The scale factor is greater than 1?

Answers

The scaled copy is bigger that means each side is bigger than the original one or the factor is grater tan 1 as  final length(bigger)/ original > 1

What is dilation ?

In mathematics, a dilation is the enlargement or contraction of a figure by a predetermined scale factor, k, at or around a center of dilation. It is a transformation style that yields comparable figures.

Depending on the scale factor, the original figure will either enlarge or decrease in size. Scaling, also known as dilations, has no impact on how angles are measured.

The original and updated figures' angles will not change because the size has not changed but the shape has. Preimage and image are two terms that can be used to describe the first and new figures, respectively.

The original figure's vertices are identified with capital letters, such as B, to make it easier to identify between two similar figures.

The scaled copy is bigger that means each side is bigger than the original one or the factor is grater tan 1 as  final length(bigger)/ original > 1

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A cube, of ide length 6 cm, ha the ame volume a that of a cuboid of height 3 cm and breadth 4 cm. Find the length and the urface area of the cuboid?

Answers

As per the given volume of cuboid, the length is 4 cm and the surface area of the cuboid is 5.76cm

The general formula to calculate the surface area of cuboid is written as,

SA = 2[lb + bh + hl]

where l refers the length, w refers width and h refers height.

Here we have given that a cube of side length 6 cm and has the same volume as that of a cuboid of height 3 cm and breadth 4 cm.

Now, we have to find the length and the surface area of the cuboid.​

By the given value the Surface Area of Cube is calculated as.

=> 6s sq. =  6 x 4sq.

Then the value is 96 cm square

Then the Surface Area of Cuboid is calculated as,

=> 2(24+10h)=96

When we simplify the equation as

=> 24 + 10h = 48

=> 10h=24

Therefore, the value of h=2.4

Then the volume of Cuboid=6*4*2.4=5.76 cm.

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State whether a dashed line or solid line would represent the graph of each inequality.

Part A: y > 2x − 9

b- y − 6 ≤ x

Answers

In part A; The graph of inequality y > 2x - 9 shows the dashed line.

And, In part B; The graph of inequality y - 6 ≤ x shown the solid line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality are,

Part A: y > 2x − 9

Part b; y − 6 ≤ x

Now,

In part A; The inequality '<' used which represent the dashed line

And, In part B; The inequality ≤ used which represent the solid line.

Hence, The graph of inequality y > 2x - 9 shows the dashed line.

And, The graph of inequality y - 6 ≤ x shown the solid line.

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Can you guys help me with this?
I just need to know what to do when it’s negative cause I’ve been doing positive the whole time..

Answers

The positive exponent for the given expression is 1/5.

What is a positive exponent?

A positive exponent tells us how many times to multiply a base number, and a negate

ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

The given exponent is [tex]25^{-\frac{1}{2}[/tex].

Now, [tex]25^{-\frac{1}{2} }=(5^2)^{-\frac{1}{2}[/tex]

= 5⁻¹

= 1/5

Therefore, the positive exponent for the given expression is 1/5.

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Would the following compound inequality be classified as an “and” inequality or an “or” inequality? Inequality: 6 > x + 1 > 3

dont guess please

Answers

The compound inequality says that x+1 is greater than 3 and less than 6.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than the relation between variables and the numbers.

Given that the compound inequality is 6 > x + 1 > 3. The compound inequallity says that the value of x +1 is greater than 3 and is less than 6.

The inequality can be written as,

6 > x + 1 > 3

x + 1 > 3

x +1 < 6

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Two groups are hiking on a glacier. Group B starts ahead of Group A and walks . To catch up to Group B, Group A walks . : since the start of the hike Group A from the start of the trail Which equation shows Group A's distance from the start? Group B Start J

Answers

Speed = 7.7miles/2.2hours = 3.5miles/hour

Which equation shows Group A's distance from the start?

In physics, the average speed is defined as the ratio of distance traveled during a certain time period.

Distance/Time = Speed

If the problem stated that the two groups’ average speeds are equal,

Mark’s Group Speed Equals Sally’s Group Speed

The problem now suggests that the time is likewise equal. That means Sally’s group took t = 4.7 – 2.5 = 2.2 hours to travel the remaining 7.7 miles.

That implies that the speed is,

7.7 miles/2.2 hours = 3.5 miles/hour.

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How do you solve 3 variable equations with 3 variables?

Answers

The linear combination method will be used to resolve a system of three equations in three variables.

What is equation ?

Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal." The slope-intercept form, standard form, and point-slope form are the three primary formats for linear equations. A mathematical expression known as an equation has an equals sign. Many equations contain algebra. When you don't know the exact number to compute in math, algebra is used.

given

The linear combination method will be used to resolve a system of three equations in three variables.

This time, we will consider two equations at a time, eliminate one variable using the resulting equations in two variables, then solve for the third variable. with respect to this instance.

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Given the function f(x) = 3x - 1, find x when f (x) = 20

Answers

The function f(a+1) is equal to option C. 3a + 4.

What is meant by mathematical function?A mathematical function is a rule that determines the value of the dependent variable based on the values of the independent variables. A table, a formula, or a graph are just a few examples of how a function might be expressed. A graph is considered to be a function if any vertical line formed can cross it at most one point. The graph is not a function if it contains any locations where a vertical line can pass through it twice or more. The expression y=f(x) defines the function f. You should interpret this as "y is a function of x." The input value, also known as an independent variable, is symbolized by the letter x.

Given function:

f(x) = 3x + 1

We have to find f(a+1).

For this purpose, we will take x = a+1 and

substitute it in the function f(x) = 3x+1:

f(x) = 3x + 1

f(a+1) = 3(a+1) +1

f(a+1) = 3(a) + 3(1) +1

f(a+1) = 3a+3+1

f(a+1) = 3a + 4

So the function f(a+1) is equal to option C. 3a + 4.

The complete question is,

Given the function f(x) = 3x + 1, evaluate f(a + 1).

A. 3a + 1

B. a + 2

C. 3a + 4

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Sydney is playing a game. She draws a fraction card labeled, Then she rolls a number cube labeled 1 through 6. sydney mutuplles the fraction b. the number rolled. If her score is greater than 1. she gets another turn. If her score is less than or equal to 1. her turn is over. What is the lowest number that Sydney can roll to get another turn? Enter the answer in the box.

Answers

Answer: To get another turn, Sydney's score must be greater than 1. Therefore, to find the lowest number that Sydney can roll to get another turn, we need to find the smallest number that, when multiplied by the fraction on the card, will give a result greater than 1.

It's not mentioned which fraction card Sydney drew, so we can assume any fraction.

Let's assume the fraction card is labeled 1/4.

To get another turn, Sydney's score must be greater than 1. Therefore, we need to find the smallest number that, when multiplied by 1/4, will give a result greater than 1.

1/4 * x >1

x > 4

so the smallest number that Sydney can roll to get another turn is 5.

It should be noted that this is assuming that the fraction card is labeled 1/4 , if the fraction card is labeled with any other fraction the answer would be different.

Step-by-step explanation:

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which of the following is the strongest evidence that personality has a genetic component? abilify is the trade name for aripiprazole, a drug used to treat depression, schizophrenia and bipolar disorders. rank the nitrogen atoms in aripiprazole in order of increasing basicity. a differentiation strategy is a unique mixture of the localization and global strategies whereby the company attempts to capture the advantages of both. group of answer choices true false fitb. kc-5.1.i.d westward migration was boosted during and after the civil war by the passage of new legislation promoting western transportation and economic development. loss of memory due to alzheimers disease is an example of a. primary aging. b. secondary aging. c. tertiary aging. d. quaternary aging. Find the given and the solution set of the equation hey i have a question about this assignment and want to check if my answers are right As compared to young adults, the following is true for middle-aged adults: A. For those who begin an exercise program, it takes less time to get the body back into physical shapeB. It takes a shorter period to recover from colds and other common ailmentsC. Middle-aged adults are best at tasks that require endurance rather than rapid bursts of energyD. In the early forties, a general increase in rate of metabolism usually occurs 6.39 Make an appropriate Arrhenius plot of the following data for the binding of an inhibitor to the enzyme carbonic anhydrase and calculate the activation energy for the reaction. 308.0 313.5 T/K 289.0 293.5 298.1 303.2 2.29 k,/(106 dm3 mol"' s) 1.04 1.34 1.53 1.89 2.84 6.39 Determine both Ea, activation energy, and A, the pre-exponential factor (A has the same units as k). Notice the units: k(106 dm3 mol1 s1) means you should multiply all the numbers in the row by 10 micro political risk analysis. analysis directed toward government policies and actions that influence selected sectors of the economy or specific foreign. (True or False) Suppose the President proposes a series of expansionary tax cuts, but the Congress spends several weeks debating who should receive those tax cuts. This delay, or _____ lag, can lessen the effectiveness of the fiscal policy asportation is the act of carrying away or physically moving a victim of kidnapping.T/F? Which of the following statements correctly describes the role of hydrochloric acid in the stomach?a. converts trypsin to trypsinogenb. kills harmful substances in foodc. converts pepsinogen to pepsin to digest proteind. both a and ce. both b and c A multinational financial institution in Chicago wishes to transfer 50,000,000 from a bank in Berlin, Germany. The transfer will take place in February although the transaction will be hedged with March euro futures contract - which matures one month after the month of the funds transfer. Current spot exchange rate for the euro is $1.30. Euro futures price for March delivery is $1.28. The size for one euro futures contract is 125,000. Calculate the futures price per contract. Caution! Errors carry over into the next problems.Calculate the hedge ratio (round down), based on the question above?To hedge the exchange rate risk involved in this transaction, the Chicago firm should?Suppose that on the hedge lifting date in February the value of the euro has dropped to $1.25. Also on this date, the March euro futures price is $1.24. How much would the 50,000,000 convert to - in USD - in the international transfer?Calculate the profit or loss on the spot position?Notice that the Chicago firm will offset the futures position in February. Calculate the profit on the futures transaction, taking into account the total number of contracts involved? where do immune cells monitor for the presence of pathogens that invade the interstitial space? A forced-circulation triple-effect evaporator using forward feed is to be used to concentrate a 10 wt% NaOH solution entering at 37.8 C to 50%. The steam used enters at 58.6 kPa gage. The absolute pressure in the vapor space of the third effect is 6.76 kPa. The feed rate is 13608 kg/h. The heat-transfer coefficient are U1=6264, U2=3407, and U3=2271 W/m2K. All effects have the same area. Calculate the surface area and steam consumption. in chartres cathedral each bay of the nave is covered by a single the study of disease, health care systems, and theories and methods of curing in cross-cultural perspective is known as: "when a person commits a crime, something is always left at the scene of the crime that was not present when the person arrived" states Many glycosaminoglycans are highly negatively charged at physiological pH. What functional groups contribute to this negative charge? a. Carboxylate and sulfite groups b. Carboxylate and sulfate groups c Hydroxyl and sulfate groups d. Phosphate and sulfhydryl groups