On average, what value is expected for the F-ratio if the null hypothesis is true? a. 1 b. k-1 c. N-k on average, what value is expected for the F-ratio if the null hypothesis is false? a.1 b. 0
c. Between 0 and 1.00 d. Much greater than 1.00

Answers

Answer 1

The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

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Related Questions

helppp me pleaseee i really need it

Answers

23310

Step-by-step explanation:

I actually calculated it aka 259000×9%

Please solve for the x. Thank you

Answers

The value of x will be;

⇒ x = 35

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In Rectangle RSTW;

⇒ RZ = 3x + 6

⇒ SW = 7x - 23

Since, By the figure we conclude that;

⇒ 2 RZ = SW

Substitute the given values, we get;

⇒ 2 RZ = SW

⇒ 2 (3x + 6) = 7x - 23

⇒ 6x + 12 = 7x - 23

⇒ 12 + 23 = 7x - 6x

⇒ 35 = x

⇒  x= 35

Thus, The value of x = 35

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A study by the department of education of a certain state was trying to determine the
mean SAT scores of the graduating high school seniors. The study found a confidence
interval for the mean score to be between 440 and 472. What is the margin of error
on the survey? Do not write on the margin of error.

Answers

Margin of error = 16

Explanation:

The confidence interval spans from 440 to 472. This is a width of 472-440 = 32 units. It divides in half to get 32/2 = 16. We can think of this as the "radius" of the confidence interval, and it represents the margin of error. It's the distance from the center to either endpoint of the interval.

Side note: use the midpoint formula to determine the center.

Carlos bought 515 Euros for his holiday to Germany. He spent £ 412 to obtain these Euros. How many Euros would Carlos have obtained if he spent £500 ?

Answers

Carlos needs a total of 400 Euros for buying 500 Euros.

The total amount available with Carlos for his holiday to Germany = 515 Euros

Amount spent to obtain these 515 Euros = £ 412

As it is clear that for buying 515 Euros he spent 412 Euros.

So, we will first find the Euros spent on buying 1 Euro.

For that, we will use Unitary Method:

So, the total Euros spent for buying 1 Euro will be = (412/515) = 0.8

So, for finding the total Euros spent for obtaining 500 Euros we will simply multiply the total Euros needed by the Euro spent for buying 1 Euro.

Thar will be equal to (0.8 * 500) = 400 Euros.

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What does ∠ ABC mean?

Answers

The measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.

Explain the term angles?

Whenever two straight lines as well as rays intersect at a single endpoint, an angle is created. The vertex of the an angle is the location where two points come together.

Measure or "the measure of" are indicated by the "m." Consequently, m1 and m2 stand for "the measure for angle one" and "this same measure of angle two," respectively.The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle.A closed shape with both inner and exterior angles, a triangle is created by three line segments.When the values of the remaining two angles are known, then angle sum property is utilised to determine the measure of an uncertain interior angle.

Thus, the measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.

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A teacher wants to check the typing proficiency of five students. She gives all of them the same passage to type. Which student is likely to be accurate in the typing test

Answers

Solving the question asked, we can say that it is more likely that the student uses a random finger for typing.

What is probability?

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the likelihood or probability of a particular event occurring. Another way to express probability is a percentage from 0% to 100%, or 0 to 1. Percentage of events in the complete set that are equally likely to lead to a particular event compared to the total number of outcomes.

here,

Probabilistically, we can say that the student is using random fingers for typing. Students are more observant and therefore more likely to be accurate on typing tests.

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Complete question: A teacher wants to check the typing proficiency of five students. She gives the same passage to type to all of them. Which student is likely to be accurate at the typing test?

A) students who use one hand to type

B) the student who uses random fingers to type

C) student who types by looking at the keyboard

D) student who corrects errors by looking at the keyboard

E) student who uses macros for long words

can someone please tell which congruency do you use and how?

Answers

To prove that ΔABC is isosceles.

Properties of an isosceles triangle.

An isosceles triangle is a type of triangle in which the length of its two sides, and measure of its two internal angles are equal. When a bisector of an angle is drawn to one of the internal angles of the triangle, two congruent triangles of corresponding properties are produced.

To prove that ΔABC is isosceles, we have:

<CAD ≅ <BAD                             (definition of an angle bisector)

CD ≅ BD                                      (definition of a midpoint)

AC ≅ AB                                      (congruent sides of an isosceles)

<ACD ≅ <ABD                             (congruent internal angles of an isosceles)

<ADC ≅ <ADB                             (definition of right angle)

Therefore it can be concluded that;

ΔABC is an isosceles triangle    (Angle-Side-Side theorem)

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Elijah has some candy bars he wants to give away. He will give each person 8 of a candy bar. If he has 3 2- 4 candy bars to give away, how many people will get candy? Show your thinking. ​

Answers

Answer:

He got 32 candy, he give each person , 3,50. or give only tree each person. and he live 8 candy.

A drawer contains 9 red socks and 11 blue socks. It is dark and you are trying to grab a matching pair. How many socks do you need to take out to be sure of a matching pair

Answers

If we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.

What is Probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportional ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The likelihood that a specific occurrence will occur. (2): the proportion of the total number of available outcomes to the number of outcomes in an exhaustive set of equally probable options that result in a certain occurrence.

There are 9 red socks and 11 blue socks

So if we find a red/blue sock in the first turn,

The second can be both blue or red so we can't be sure it will be matching or not.

At third turn any one colour of sock will match with any of the two already pulled before if they are different.

So, if we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.

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Solve: 8w + 5= 4 (2 w+1)=

Answers

Answer: No Solutions

Step-by-step explanation:

8w + 5= 4 (2 w+1)=

8w+5=(4)(2w)+(4)(1)

8w+5=8w+4

    -8w      -8w

5=4

-5  -5

0=-1

Which means there are No Solutions.

Answer:

8w+5=4(2w+1)

8w+5=8w+4

collect like terms

8w-8w = 4-5

0=-1

there is no solution

given that y=15-2x,copy and complete the table below giving the values of y for x=-4,0,4,8,12

Answers

Answers: 23, 15, 7, -1, and -9

Explanation

Insert the x-values into the given equation to solve for y.

1. Find y = 15-2(-4) by multiplying -2 by -4, which is 8. Add that to 15, which is 23.

2. Find y = 15-2(0) by multiplying -2 by 0, which is 0. Subtract that from 15, which is 15.

3. Find y = 15-2(4) by multiplying -2 by 4, which is -8. Add that to 15, which is 7.

4. Find y = 15-2(8) by multiplying -2 by 8, which is -16. Add that to 15, which is -1.

5. Find y = 15-2(12) by multiplying -2 by 12, which is -24. Add that to 15, which is -9.

How do you simplify F G?

Answers

F G cannot be simplified because it is not an equation, it is a phrase.

1. First, determine what F G is. In this case, F G is a phrase and not and equation.

2. Since F G is a phrase, it cannot be simplified.

Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.

F G cannot be simplified because it is not an equation, it is a phrase.

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How can these models be used to find the sum 2. 3 + 1. 94?




Enter your answers in the boxes.


The models show a total of 3 wholes,

tenths, and

hundredths. After regrouping 10 tenths into 1 whole, there are

wholes,

tenths, and

hundredths. Therefore, the sum of the numbers is

Answers

The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

Therefore the answer is 4.24.

The first number, 2.3, can be broken down into 2 wholes and 3 tenths.

The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.

To add the two numbers together, we first add the wholes: 2 + 1 = 3.

Next, we add the tenths: 3 + 9 = 12

Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.

We add the regrouped tenths to the number of wholes: 3 + 1 = 4

After regrouping, we have 4 whole and 2 tenths.

Now we add the hundredths: 0 + 4 = 4

Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

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Is 3 3 an additive inverse?

Answers

3 and -3 are additive inverses because 3 + (-3) = 0.

Therefore, -3 is the additive inverse of 3.

Additive Inverse:

The additive reciprocal/ Inverse of a number is its inverse. When a number is added to the additive reciprocal, both numbers sum to zero. A simple rule is to change positive numbers to negative numbers and vice versa. We know that 3+ (-3) =0. So -3 is the additive reciprocal of 3, and 3 is the additive reciprocal of -3.

If the sum of two real numbers is 0, each real number is said to be the additive reciprocal of the other real number. Therefore, R + (-R) = 0. where R is a real number. R and -R are the additive reciprocals of each other. Example: 3/4 + (-3/4) = 0. where 3/4 is the additive reciprocal of -3/4 and vice versa. This is an example of the additive reciprocal of a fraction.

We have room temperature water in a bucket. Adding 1 liter of hot water raises the temperature of the entire bucket by a certain amount. Then add another liter of cold water. Opposite temperature water in the bucket will cancel out, resulting in a bucket of room temperature water. The same rules apply when taking the additive reciprocal of a number. The additive inverse property applies to both real and complex numbers.

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What is the inverse of 12?

Answers

The inverse of 12  as calculated by the given data is found to be 1/12.

The inverse can be found by finding its reciprocal the number ,

inverse of 1 = 1 / 12

There are two types of inverse , additive inverse and multiplicative inverse .

The additive inverse can be found by finding the negative of  the number.  The multiplicative inverse, often known as the reciprocal, is another inverse of a number.

The multiplicative inverse, often known as the reciprocal, is another inverse of a number. The product of a reciprocal multiplied by the original number is always 1.

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In ΔDEF, f = 5 cm, m∠E=79° and m∠F=75°. Find the length of d, to the nearest 10th of a centimeter.

Answers

Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm

What is Sine Rule

The sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.

To find the length of d, we have to find the length of E.

Using sine rule;

f / sin F = e / sin E

5 / sin 75 = e / sin 79

e = 5sin79 / sin 75

e = 5.7cm

To find the length of d, we have to find the angle D by using the sum of angle theorem.

m∠ E + m∠ F + m∠ D = 180°

79 + 75 + m∠ D = 180

m∠ D = 180 - 154

m∠ D = 26°

Using cosine rule

d² = e² + f² - 2efCosD

d² = 5.7² + 5² - 2(5.7)(5)cos26

d² = 20.615598

d = √20.615598

d = 4.5cm

The length of side d is 4.5cm

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A et of 3 card, pelling the word ADD, are placed face down on the table. Determine P(D, D) if two card are randomly elected with replacement. One third
two third
two ixth
four ninth

Answers

The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.

What is probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Calculating probability of selecting a card:

From the question, we are to determine the probability of selecting two cards with D and D

From the formula for probability, we have that

P(D) = Number of favorable outcomes to D / Total number of possible outcomes

From the given information,

Number of favorable outcomes to D = 2

Number of possible outcomes = 3

Thus,

P(D) = 2/3

Then,

The probability of selecting two cards that have D and D with replacement is

P(D, D) = P(D) × P(D)

P(D, D) = 2/3 × 2/3

P(D, D) = 4/9

Hence, the probability is 4/9.

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To serve 1 person at a restaurant it takes 10 minutes. To serve 5 people at a restaurant it takes 18 minutes. How many minutes will it take to serve 8 people

Answers

the answer should be 28 minutes

Help with a bit of math??

Answers

Answer:

b.x=30

c.x=21

Step-by-step explanation:

B 30
C 20 that’s ur answers

Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form

Answers

The answer in standard form is given by 65.7 ×10⁴

What is the Standard Form of a Number?

A standard form of a number in Maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.

Given here:  (6.31 x 10⁵)+(2.6 x 10⁴)

Simplifying the equation further we get

(6.31 x 10⁵)+(2.6 x 10⁴)= 63.1×10⁴+2.6×10⁴

                                    =65.7×10⁴

Hence, The answer in standard form is given by 65.7 ×10⁴

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Which techniques can be used to evaluate the expression 12. 75÷1. 5? Select all that apply. ​

Answers

The division technique can be used to evaluate the given expression

12.75÷1. 5

The division formula is used for splitting a number into equal parts. Symbols that we use to indicate division are  (÷) and (/).

“p divided by q” can be written as: (p÷q) or (p/q).

The method of verification can be expressed as:

Dividend = (Divisor × Quotient) + Remainder.

The given equation is:12.75÷1.5

We'll first write the above decimal numbers in fractional form.

12.75÷1.5

1275/100÷15/10

2. Now we'll divide it further.

⇒1275/100÷15/10

⇒1275/100×15/10

⇒1275/10×15

⇒225/10×3

⇒88/10

3. And finally, we'll write our quotient in decimal form.

⇒88/10

⇒8.8

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Find the midpoints of the line segment
Fine the distance between each pair of the points

Answers

Answer: #18 is (1/2,0)

#19 (0,-1)

#20 5

#21 8√2 or 11.313708498985

Step-by-step explanation:

A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable

Answers

The percent of the variance in the dependent variable unexplained by the independent variable is 81%

What does correlation coefficient mean?

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

[tex]r = 0.3[/tex]

The explained variance is found using the following formula:

[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Help me
Please help me with both issues

Answers

Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards

What is Multiplication

Multiplication is an arithmetic operation in which a number (known as a multiplicand) is multiplied by another number (known as a multiplier) to produce a product.

In this problem, we will need to use of some mathematical operators to solve the problem

1.

He currently has 216 cards, but he needs 15 sets of cards.

1 set of card = 72 cards

Let's calculate the number of sets he currently has.

1 set of card = 72 cards

x set = 216 cards

cross multiply both sides and solve for x.

x * 72 = 216 * 1

x = 216 / 72

x = 3 sets

He currently has 3 sets of cards.

Since he wants 15 sets of cards, we will need 12 more set of cards.

The number of cards can be calculated by multiplying 12 by 72

Number of cards = 12 * 72 = 864

He needs 864 more cards.

2.

1 set of card = $27

1 set = 72 cards

But she's bringing $9 to join, we can calculate the ratio of cards she will get.

1 / 27 = x / 9

x = 9 / 27

x = 1/3

She will get 1/3 of the cards bought which will be

72 * 1/3 = 24 cards

She will get 24 cards

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A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.

Answers

The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.

The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.

When t = 0

V = 3 + 2(0) = 3 liter

When t = 1

V = 3 + 2(1) = 5 liter

When t = 2

V = 3 + 2(2) = 7 liter

When t = 3

V = 3 + 2(3) = 9 liter

When t = 4

V = 3 + 2(4) = 11 liter

When t = 5

V = 3 + 2(5) = 13 liter

Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.

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Frankie enlarged the size of a rectangle to a height of 20 cm. What is the new width if it was originally 2 cm wide and 4 cm tall

Answers

Answer: 10

Step-by-step explanation:

4 to 20 which is times by 5 so 2 times by 5 is 10

y=-5 8x+5y=-17 substitution

Answers

[tex]8x+5y=-17[/tex] when y is -5

Substitute for y with given value:

[tex]8x+5(-5)=-17[/tex]

[tex]8x-25=-17[/tex]

Add 25 to both sides:

[tex]8x-25+25=-17+25[/tex]

[tex]8x=8[/tex]

Divide both sides by 8:

[tex]\dfrac{8x}{8} =\dfrac{8}{8}[/tex]

[tex]\fbox{x = 1}[/tex]

Given (x – 7)2 = 36, select the values of x.

Answers

x = 25

using distributive property with (x - 7)2, you get 2x - 14 = 36. add 14 to both sides, you get 2x = 50, then divide by 2x.

x will equal 25.

P is the centroid of ΔXYZ. If XU = 48, what is PU?

Answers

The value of the PU in the given triangle is 19.

What is centroid?

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Given,

'p' is the centroid of triangle XYZ and XU is 57.

Since p is the centroid the 'U', 'V', and 'W' are the mid pint of side'YZ', 'XZ', and 'XY'

from the centroid Theorem, we can write;

XP = 2/3 * XU

plug the values 'XU' in the above equation:

XP = 2/3 *57

XP = 2*19

XP = 38

from figure:

XP + PU = XU

PU = XU - XP

Plug 'XU' and 'XP'

PU = 57 -38

PU = 19

therefore, the PU of the given triangle is 19 units.

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Complete question:

2. Rabbit Problem

When rabbits were first brought to Australia last

century, they had no natural enemies so their numbers increased

rapidly. Assume that there were 60,000 rabbits in 1865, and that by

1867 the number had increased to 2,400,000. Assume that the num-

ber of rabbits increased exponentially with the number of years that

elapsed since 1865.

Write the particular equation for this function,

b. How many rabbits would you predict in 1870?

c. According to your model, when was the first pair of rabbits in-

troduced into Australia?

Answers

According to the exponential function,

a) The function that models the given situation is f(rabbits) = 65000(√500/13)ˣ

b) The number of rabbits in 1870 is 6.5

c) According to your model, the first pair of rabbits introduced into Australia is 19th century

Here we have given that during the 19th century, here rabbits were brought to Australia.

And here we also know that the rabbits had no natural enemies on that continent, their population increased rapidly.

And we have given that there were 65,000 rabbits in Australia in 1865 and 2,500,000 in 1867.

Then according to the exponential function that could be used to model the rabbit population y in Australia in terms of x, the number of years since 1865 is to be determined.

Then the exponential function can be written as,

=> f(rabbits) = 65000(√500/13)ˣ

When we plot these on the graph then we get the graph like the following.

Through the graph we have identified that the value of rabbits in 1870 is 6.5

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How did Sherman's "March to the Sea" affect the state of Georgia? * O Sherman's march diverted Union attention from Georgia, allowing the state's militia to recover. The March to the Sea destroyed Georgia's agriculture and roads, devastating the state's economy. The March to the Sea was the first time the Union army actually entered the state of Georgia. People in the state were proud that Georgia-born Sherman distinguished himself during the march. What is the genetic basis behind the appearance and gender of calico cats? SKIT #2: LEGITIMACYCauses1. The laws in this country were borrowedfrom another country.2. Lavemakers only pass laws to help theirfriends.3. People are expected to follow the laweven though it was sometimes impossible.SKIT #3: CHECKS AND BALANCESworried about being out after dark.EffectsA. The rest of the people the lawmakers representhave no input in the lawmaking process.B. The laws do not meet the needs of the people inthis country, and people do not see them asworthy of following.C. Citizens do not respect the law because theydon't see it as fair and reasonable. Nathaniel is searching for a four-leaf clover in a field. He finds 2 four-leafclovers during the first 12 minutes of his search. If Nathaniel spends a total of180 minutes searching in the field, predict the number of four leaf cloversNathaniel will find. Mrs Anderson has 185 pieces of wood he sold 25 peacas of wood to his neighbor and distract the rest of the world into piles around his house each pile of wood contained 40 pieces of wood which equation can be used to find peat the number of piles of wood Mr. Anderson made? What are the things that keeps your calm even when you are so stressed? Which of the following is correctly written in Standard Form? 11-(-2)x4 step by step pls my hm is due tmr Will mark brainliest (I also need to find the x and y intercepts) What are the 2 types of credit? Which of the following is the graph of y=-4 square root x A students wants to insert a column sparkline in Excel. To do this, she can click on the cell she wants to insert a Sparkline, then click Insert tab, select the Sparkline type of choice from the Sparklines group and then select OK. which is the functions for increases 8.3% What does Claudius want in Act 3 Scene 3? forty children from an after-school club went to the field trip . this is 25% of the children in the club. how many children are in the club? Let ABC be a triangle, andM, N, and K represent the midpoints of sides AB, BC, and AC respectively.If area of the triangle ABC is 6.0 square feet, then what is the area of the triangle MAK? on Monday in December, it was -8 degrees Celsius in Harbin China and -2 degrees Celsius and Beijing China on Tuesday and Beijing it was 5 degrees colder than it was the day before what was the new temperature? A nurse suspects that a client is developing rebound hypoglycemia secondary to parenteral nutrition being discontinued too rapidly. Which assessment support the nurse's suspicion Sonia is a math scholar and is addressing a gathering of undergraduate students. She presents one of her theorems for which she has gained worldwide recognition. Sonia supports her theorem using mathematical derivations. In this scenario, Sonia uses the rhetorical appeal of _____ A) lithosB) pathosC) ethosD) logos What does it mean when the speaker said the poem will continue to live as long as men still see and breathe?