when there is more than two population means, which statistical analysis should be used to see the simple significant mean difference? a) paired t test b) dependent t test c) independent t test d) f test

Answers

Answer 1

When there is more than two population means, which statistical analysis should be used to see the simple significant mean difference:

(b) Dependent t test

Correlated T-Test:

The correlated t-test is also known as the dependent t-test or paired t-test. It is conducted when two sets of data are related or dependent on each other, such as observation made before the treatment and observation made after the treatment.

To test if the means are equal for more than two groups we perform an analysis of variance test. An ANOVA test will determine if the grouping variable explains a significant portion of the variability in the dependent variable.

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Related Questions

What is h+6/5=2 give me the answer

Answers

Answer:

H= 4/5.

Step-by-step explanation:

HOPE THIS HELPS!!!

Answer:

h=4/5

Step-by-step explanation:

h+6/5=2    Make 2 into a fraction with 5 (five times two)

h+6/5=10/5    Get h by its self

   -6/5  -6/5

h=4/5

A department store buys 300 shirts at a cost of ​$2,400 and sells them at a selling price of ​$10 each. Find the percent markup.

Answers

Answer:

67%

Step-by-step explanation:

Given : A department store buys 300 shirts at a cost of $1800 .

Then By unitary method , the cost of one shirt = Cost of 300 shirts divided by 300

= $1800 ÷ 300 = $6

i.e. cost of one shirt = $6

Also, Selling price of one shirt = $10

Price mark up = Selling price - Cost price

= $10-$6 = $4

The  percent mark up=

(rounded to the nearest percent)

Hence, the percent markup = 67%

9. There are 8 black socks, 6 blue socks, and 14 white socks in a drawer. If one sock is randomly chosen from the
drawer, then what is the probability that the sock will not be blue?

Answers

The probability that the socks will not be blue would be =11/14.

How to calculate the probability of socks that are not blue in colour?

Probability can be defined as the expression that shows the possibility of the occurrence of an event.

The formula that is used to calculate probability = the chosen events/total number of outcomes.

The total number of black socks = 8

The total number of blue socks = 6

The total number of white socks = 14

The total number of socks (outcomes) = 8+6+14 = 28

The socks that are not blue = 8+14 = 2

Therefore the probability that they socks won't be blue = 22/28 = 11/14.

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find the x please!!!!

find the x please!!!!

Answers

Step-by-step explanation:

All 3 angles add up to be 180 due to sum of angles in a triangle.

Given this fact,

\(38 - 5x + 83 + 24 = 180 \\ 145 - 5x = 180 \\ - 5x = 180 - 145 \\ - 5x = 35 \\ x = 35 \div - 5 \\ = - 7\)

Answer:

(38 - 5x)⁰ + 83⁰ + 24⁰ = 180⁰

<=> (38 + 83 + 24) - 5x = 180

<=> 145 - 5x = 180

<=> 5x = 145 - 180

<=> 5x = - 35

<=> x = - 7

If a student is chosen at random what is the probability they scored a 4 or 5

Answers

Answer:

4= 40.0    5=10.0 chance

Answer:

a

Step-by-step explanation:

kbhdghggjkljgggjjhgcd Dr

Using money to systematically target those who may be vulnerable due to their low financial status can be considered coercion and it breaches which one of the following four ethical principles?
a. Beneficence b. Justice c. Respect for Autonomy d. Non-maleficence

Answers

Option B, Justice is one of four ethical concepts. The definition states that there must be fairness in all medical judgments.

Four ethical principles: autonomy, benevolence, harmlessness, and justice. Each of these principles serves a specific purpose, but all four work together to empower you as healthcare professionals and ensure that your patients receive high-quality, ethical care.

The literal concept of autonomy and the medical concept of autonomy diverge and intersect. Charity is an act of compassion or mercy. The activities of all healthcare workers should always be positive. Of the four principles of medical ethics, harmlessness is the most important.

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Linear or nonlinear ?

Linear or nonlinear ?

Answers

Nonlinear is correct the points are scattered across the graph :)

EASY ALGEBRA 1 QUESTION:

Is this a binomial or trinomial??

2x^5 - 3x^2 + 4

I'm kind of confused, like are numbers without variables not considered terms?

Answers

Answer:

Trinomial

Step-by-step explanation:

yes they're considered terms

This is called a Trinomial because it consists of 3 terms. Constants ( “regular” whole number) and coefficients (number multiplying a variable) are both considered their own terms. A term is just an expression; it’s the relationship between a constant and a coefficient in an equation. For example: 5x-1. There are two terms in 5x-1; the two terms are 5x and -1. The relationship is that 5x is being subtracted by 1 (-1).

Find the end behaviour of f(t)=−2t 4(2−t)(t +1) as t→[infinity] and t→−[infinity]

Answers

As t approaches positive infinity, f(t) tends to negative infinity, and as t approaches negative infinity, f(t) tends to positive infinity.

To find the end behavior of the function f(t) = -2t^4(2-t)(t+1) as t approaches positive infinity and negative infinity, we can examine the highest degree term in the expression.As t approaches positive infinity, the dominant term is -2t^4. Since the coefficient is negative, this term will tend to negative infinity. The other terms (-2+t) and (t+1) are of lower degree and will have a negligible effect as t becomes very large. Therefore, the overall behavior of f(t) as t approaches positive infinity is that it tends to negative infinity.

Similarly, as t approaches negative infinity, the dominant term is still -2t^4. However, this time the coefficient is negative, so the term will tend to positive infinity. Again, the other terms (-2+t) and (t+1) become negligible as t becomes very large in the negative direction. Therefore, the overall behavior of f(t) as t approaches negative infinity is that it tends to positive infinity.

In summary, as t approaches positive infinity, f(t) tends to negative infinity, and as t approaches negative infinity, f(t) tends to positive infinity.

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Parallel maze puzzle

Parallel maze puzzle

Answers

Answers:

d) verticalc) alternate interiorf) supplementarye) alternate exteriorg) correspondinge) alternate exteriorf) supplementaryc) alternate interiore) alternate exterior

Letters 'a', b, and h are never used.

Letters c and f show up twice each; e shows up 3 times.

=====================================================

Explanations:

Angles 1 and 2 are vertical angles because they are opposite one another in this X configuration. Vertical angles are always congruent.These angles are alternate interior angles because they are inside the parallel lines (hence the "interior") and they are on alternating sides of the transversal cut.The two angles shown here form a straight line, so that's what makes them supplementary. Supplementary angles add to 180 degrees.Angle 4 and angle 5 are on alternating sides of the transversal, but this time they are outside the parallel lines. So that's why we go for alternate exterior this time. Angles 5 and 6 are in the same southwest corner of each four-corner configuration, which makes them corresponding angles.It's the same idea as problem 4Same idea as problem 3.Same idea as problem 2.Same idea as problems 4 and 6.

---------------

None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.

We cross off option b as well because none of the angles add up to 90 degrees.

Find the perimeter of the given figure.​

Find the perimeter of the given figure.

Answers

I think the answer is 24


The diagram below shows the dimensions
of a rectangular tabletop.
6 3/4 feet
3 feet

The wood to make the tabletop costs
$12.40 per square foot. What is the cost
of the tabletop?
A $232.50
B $243.00
© $251.10
D$260.40

The diagram below shows the dimensionsof a rectangular tabletop.6 3/4 feet3 feetThe wood to make the

Answers

The cost of the tabletop is $251.10. Option C

How to determine the cost

The formula for calculating the area of a rectangle is expressed as;

Area = lw

Such that the parameters are;

l is the length of the rectangle.w is the width of the rectangle.

From the diagram shown, we have;

The width = 6 3/4 feet = 27/4 feet

The length = 3 feet

Substitute the values

Area = 27/4 × 3

Multiply

Area = 20. 25 square feet

But;

1 square foot = $12.40

Then  20. 25 square feet = x

x = $251. 10

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PLEASE ANSWER ASAP
A sector of a circle has a central angle measure of 90°, and an area of 7 square inches. What is the area of the entire circle?


Area of the circle =
square inches

Answers

If a sector of a circle has a central angle measure of 90°, and an area of 7 square inches then the area of the entire circle is 35.44 square inches.

We can use the formula for the area of a sector to solve this problem:

Area of sector = (θ/360)πr²

We are given that the central angle measure is 90°,

so θ = 90.

Area of the sector is 7 square inches.

We can set up an equation:

7 = (90/360)πr²

7 = (1/4)πr²

Multiplying both sides by 4/π, we get:

28/π = r²

r =3.36 inches

Now that we know the radius of the circle, we can find its area using the formula:

Area of circle = πr²

Substituting r = 3.36, we get:

Area of circle = 35.44 square inches

Therefore, the area of the entire circle is 35.44 square inches.

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WILL MARK CORRECT ANSWER AND FASTES ANSWER BRAINLIEST

WILL MARK CORRECT ANSWER AND FASTES ANSWER BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

Can't be B or D because the slope is negative but B and D have positive slopes. It's not A because slope is y2-y1/x2-x1. Take points (0,8) and (6,5) to plug into equation.

5-8/6-0= -3/6=-1/2

Therefore the answer is C since the y-intercept is 8 and the slope is -1/2

Someone answer please I would be very grateful ​

Someone answer please I would be very grateful

Answers

Answer:

Part A : 9.555 . 10^38

Part B : 7.4 . 10^-3

Step-by-step explanation:

Part A

\(3.9 \: . \: {10}^{33} . \: 2.45 \: . \: {10}^{5} \\ 3.9 \: . \: 2.45 \: . \: {10}^{33 + 5} \\ 9.555 \: . \: {10}^{38} \\ \)

Part B

\(7.4 \: . \: {10}^{ - 3}mm \\ 7.4 \: . \: \frac{1}{ {10}^{3} } \\ 0.0074mm\)

\(7.4 \: . \: {10}^{3}mm \\ 7.4 \: . \: 1000 \\ 7400mm\)

A blood cell is too small. So the more reasonable measurement is 0.0074mm.

Why is it important to know the background of a poet.

Answers

Answer:

To understand their poems better

Step-by-step explanation:

First you have a general knowledge on why the author made the poem

Second you now have more info to use in order to understand the poems

Third is the same reason why there are people in history books.

Its about similar figures and scale drawing
No links

Its about similar figures and scale drawing No links

Answers

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

5x+3x-6=6x+12 what is the answer

Answers

Answer:

x=9

Step-by-step explanation:

1. Combine like terms

2. Add 6 to both sides

3. Simplify

Find a counterexample to disprove the conjecture.
Conjecture
AB
divides CAD into two angles. So, AB is an angle bisector of ZCAD.
m ZCAB = 20° andm ZDAB = 20°
m ZCAB = 20° andm ZCAD = 40°
m LDAB = 60° and m LCAD = 120°
mZCAB = 70° andm LDAB = 20°

Answers

Answer:

D. mZCAB = 70° and mLDAB = 20°

Step-by-step explanation:

An angle bisector is a line that divides a given angle into two equal parts. From the given question:

if angle CAD is divided into two unequal angles by AB, then AB is not an angle bisector of ZCAD.

For example: let mCAD = \(90^{o}\). Then if mCAB = mDAB = \(45^{o}\), then AB is an angle bisector.

But if mCAB \(\neq\) mDAB, then AB is not an angle bisector. Eg: mZCAB = 70° and mLDAB = 20°

Answer:

f

Step-by-step explanation:

If the volume of a Prism was 33cm³, what would be the
volume of a Pyramid with a congruent base, and equal
height?

Answers

Answer:

11 cm³

Step-by-step explanation:

the volume of a pyramid is \(\frac{1}{3}\) the volume of the congruent prism, so

volume of pyramid = \(\frac{1}{3}\) × 33 cm³ = 11 cm³

The ratio of the vertical change to the horizontal change to any two points on a line is called _______ of the lin

Answers

The ratio of the vertical change to the horizontal change between any two points on a line is called the slope of the line.

A ratio is a relationship between two or more numbers that shows how much bigger or smaller one value is compared to another. In mathematics, ratios are often used to compare quantities or amounts, such as the amount of money spent on two different items or the distance traveled over a certain period of time. The ratio of the vertical change to the horizontal change to any two points on a line is called the slope of the line.

This is a fundamental concept in geometry and algebra, and it is used to describe the steepness of a line. The slope is often denoted by the letter m, and it is calculated as follows:m = (y₂ - y₁) / (x₂ - x₁)Where (x₁, y₁) and (x₂, y₂) are two points on the line. The slope is positive if the line is increasing from left to right, negative if the line is decreasing from left to right, and zero if the line is horizontal.

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Find the area.
Help me please!

Find the area.Help me please!

Answers

Answer:

16 cm^2

Step-by-step explanation:

Formula = 1/2 * base * height

1/2 * 8 * 4 = 16

16 cm^2

Adrienne invested a total of $2900.00 in two simple-interest money market accounts. Account A paid 3% annual interest and account B paid 5% annual interest. The total amount of interest she earned after one year was $133.00. If a represents the amount invested in dollars in account A and b represents the amount invested in dollars in account B, the system of equations a + b = 2900.00 0.03a + 0.05b = 133.00 can be used to represent this situation. How much did Adrienne invest in each account? Adrienne invested $ in account A and $ in account B.

Answers

Solving the system of equations, it is found that Adrienne invested $1,366.67 in account A and $1,533.33 in account B.

System of equations:

The variables are:

Variable A: Amount invested in account A.Variable B: Amount invested in account B.

The equations are:

\(a + b = 2900\)

\(0.03a + 0.05b = 133\)

From the first equation:

\(a = 2900 - b\)

Replacing on the second:

\(0.03a + 0.05b = 133\)

\(0.03(2900 - b) + 0.05b = 133\)

\(0.03b = 46\)

\(b = \frac{46}{0.03}\)

\(b = 1533.33\)

Then, on the first equation:

\(a = 2900 - b = 2900 - 1533.33 = 1366.67 \)

Hence, Adrienne invested $1,366.67 in account A and $1,533.33 in account B.

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Find the volume of a pyramid with a square base, where the area of the base is 6.5\text{ m}^26.5 m
2
and the height of the pyramid is 8.6\text{ m}8.6 m. Round your answer to the nearest tenth of a cubic meter.

Answers

As a result of answering the question, we may state that Hence, the pyramid's volume is around 18.3 cubic metros.

what is pyramid?

In mathematical terms, a pyramid is a polygons created by joining points known as bases and polygonal vertices. A triangle known as a face is created for each hace and vertex. a polygonally shaped cone. There are n+1 vertices, n+1 vertices, and 2n edges in a pyramid with a floor and n pyramids. Every pyramid is self-dual. Three dimensions can be seen in a pyramid. A pyramid has a flat tri face and a polygonal base that unite at a single point known as the vertex. By joining the base and peak, a pyramid is created. The base's edges form triangle faces known as sides that connect to the top.

The formula for a pyramid's volume is:

V = base area * height * (1/3)

Given that the pyramid's base is a square with a surface area of 6.5 m2, we can calculate the lengths of its four sides as follows:

S is equal to sqrt(area) = sqrt(6.5) 2.55 m.

We can now change the values in the formula to:

\(V = (1/3) * (6.5 m^2) * (8.6 m) = 18.3333... m^3\)

This results when we round to the closest tenth of a cubic m

\(V = 18.3 m^3\)

Hence, the pyramid's volume is around 18.3 cubic m

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#13 suppose Q is the midpoint of PR

#13 suppose Q is the midpoint of PR

Answers

Answer:

PQ = 31

Step-by-step explanation:

Assuming you're the same person I helped before and this still has Q as the midpoint of PR, we get PQ = QR.

\(PQ=2x+1=QR=5x-44\\2x+1=5x-44\\1=3x-44\\45=3x\\15=x\\x=15\\\\PQ=2(15)+1\\PQ=30+1\\PQ=31\)

Solution :

In the given question, P is mid point of PQ, therefore

PQ = QR

let's solve for x :

\( \hookrightarrow \: 2x + 1 = 5x - 44\)

\( \hookrightarrow \: 5x - 2x = 1 + 44\)

\( \hookrightarrow \: 3x = 45\)

\( \hookrightarrow \: x = 45 \div 3\)

\( \hookrightarrow \: x = 15\)

now, let's find measure of PQ :

\( \hookrightarrow \: PQ = 2x + 1\)

\( \hookrightarrow \: PQ = (15 \times 2) + 1\)

\( \hookrightarrow \: PQ = 30 + 1\)

\( \hookrightarrow \: PQ = 31 \: \: units\)

I’ll give you brainleist please just help fast

Ill give you brainleist please just help fast

Answers

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

Contrast the expected instantaneous rate of change r for a geometric Brownian motion stock
price (St) and the expected return (r – 0.5σ2)t on the stock lnSt over an interval of time [0,t].
Describe the difference in words.
The value of a price process Yt = f(Xt,t) (e.g. call option) may depend on another process Xt (e.g., stock
price) and time t:

Answers

The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.

On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.

The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.

The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

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Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?

Answers

Answer:

the correct answer should be 144

Answer:

144

Step-by-step explanation:

180*20% is 36 so 180-36 is 144

How to make 2.5 a fraction

Answers

2 1/2 or 5/2

2 is a whole number and .5 multiplied by 10, then divided by 100, then simplify

Based on your understanding of how bond types influence a material’s properties, identify each of the following compounds as being made of ionic, covalent, or metallic bonds.

Steel:
Propane:
Calcium chloride:
Water:

Answers

The ionic, covalent, or metallic bonds in the compounds given are identified:

(A) Metallic bonding in steel.

(B) Covalent bonding and propane.

(C) The ionic bonding in calcium chloride.

(D) Covalent bonding in water.

What is a bond?

Ionic bonds are created when electrons are transferred from one atom to another.

A metal atom and a non-metal atom join together to form an ionic bond.

A covalent bond is one that is created when electrons are transferred from one atom to another.

Only two or more atoms of a non-metal can create a covalent connection.

Iron and carbon are combined to form steel, which has less than 2% carbon, 1% manganese, and trace amounts of silicon, phosphorus, oxygen, and sulfur.

The bond that forms when metal atoms are kept together is known as a metallic bond.

Steel is comprised of a metallic bond as a result.

The sole atoms in propane's chemical formula are non-metals, giving it the symbol CH₃CH₂CH₃.

Therefore, electron sharing occurs in such atoms, causing covalent bonding to existing.

Consequently, covalent bonds are what make up the propane.

Both metal and non-metal atoms can be found in calcium chloride.

This denotes a transfer of electrons from the calcium atom to the chlorine atom.

As a result, the bond in calcium chloride is an ionic bond.

Chemically, water has the formula H₂O.

Since there are non-metal atoms present, hydrogen and oxygen atoms share electrons in that region. So, water contains covalent bonds.

Therefore, the ionic, covalent, or metallic bonds in the compounds given are identified:

(A) Metallic bonding in steel.

(B) Covalent bonding and propane.

(C) The ionic bonding in calcium chloride.

(D) Covalent bonding in water.

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Based on your understanding of how bond types influence a materials properties, identify each of the

Answer:

1.✔ metallic , 2.✔ covalent , 3.✔ ionic , 4.✔ covalent.

Step-by-step explanation:

Based on your understanding of how bond types influence a material’s properties, identify each of the following compounds as being made of ionic, covalent, or metallic bonds.

Steel: ✔ metallic

Propane: ✔ covalent

Calcium chloride: ✔ ionic

Water: ✔ covalent

Based on your understanding of how bond types influence a materials properties, identify each of the
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this is the primary social mechanism for answering the basic questions about what is produced how it is produced and for whom it is produced The inductor in (Figure 1) is a 9.0-cm-long, 2.0-cm-diameter solenoid wrapped with 300 turns. Part A What is the current in the circuit 10 us after the switch is moved from a to b? Express your answer with the appropriate units. * mo ? Units 1 = Value Figure (< 1 of 1 > Submit Request Answer Provide Feedback 302 w 6.0V The root test is conclusive for the following series: 1/n^9 n =1 Select one: True False 1. How does data analytics in e-commerce and/or m-commerce play a part in creating competitive advantage?2. How does e-procurement fit into the purchasing business activity3. Why is efficiency in the supply chain a main concern of B2B e-commerce? Give an example. The name of the king who built the Hanging Gardens is ______. Alexa has $4.75 worth of dimes and quarters. She has 2 more dimes than quarters. Determine the number of dimes and the number of quarters that Alexa has. What causes of Dysthmic Disorder (Depressed Mood DDX) Carbon-14 dating works for fossils up to about 75,000 years old; fossils older than that contain too little C to be detected. Most dinosaurs went extinct 65.5 million years ago.(a) Can C be used to date dinosaur bones? Explain. Somebody please help generally speaking, how does changing the diameter of a wire that carries a given amount of current affect the drift velocity of the electrons in the wire? What is the function of the hydrogen ion concentration gradient? The combination of natural resources in a forest (air, light, soil, water) determineA. the size of the forest. B O the kind of fauna and flora, C. the amount of eggs a bird can lay.D. O none of the above PLEASE HELPTotal snowfall for a December blizzard is given by the equation y=7/4x , where x represents the hours and y represents inches. Total snowfall for a January blizzard is given in the table below. Rate of snowfall in December = Rate of snowfall in January =Snow fell more quickly in:I only have 1 attempt on this quiz, and I'm not confident my answer is right. I NEED a firm answer. Marissa keeps track of all attendance records for the local preschool. Whichtwo options are advantages of her keeping the records online?A. The records are digital, so they do not change duringtransmissionB. The records can be transmitted by an analog device withoutlosing strength of signal.C. The records can be stored in the cloud, making them accessibleto her from anywhere.D. The records could be accessed by anybody if no securityprograms are provided.SUBMIT PLEASE ANSWER AS SOON AS YOU SEE THIS On cold days Leah likes to make hot chocolate she uses 8 tablespoons of cocoa and 2 tablespoons of sugar Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth. According to locke (borrowing a concept from aristotle), each of us is born with a blank slate, or ________, on which are written the life experiences we acquire through our senses. In their great council at amaurot, to which there are three sent from every town once a year, they examine what towns abound in provisions and what are under any scarcity, that so the one may be furnished from the other; and this is done freely, without any sort of exchange; for, according to their plenty or scarcity, they supply or are supplied from one another, so that indeed the whole island is, as it were, one family. "utopia, thomas more based on the passage, what is a key part of mores utopia? ensuring that all people have an equal say in government ensuring that all towns receive limited resources ensuring that all people have what they need A stock has an expected return of 5% and a volatility of 20%. The current price of the stock is $40. If a European put option has a strike price of $35, what is the probability that four months the put will be in the money? Please show all work. Please use four decimal places for all calculations. For this lab we used an analogy of a pet adoption to help you understand the parts of the collision theory. Match the vocabulary word from collision theory to what was happening at the pet adoption.