when player a played football, he weighed 228 pounds. how many standard deviations above or below the mean was he?

Answers

Answer 1

The mean weight of the team was found to be 222.47 pounds. The standard deviation was 28.32 pounds. 3 standard deviations below the mean were 136.83 pounds. Player A was approximately 0.20 standard deviations above the mean.

(i) Mean:

mean = (sum of all weights) / (number of weights) = (177 + 203 + 211 + 211 + 232 + 205 + 185 + 185 + 178 + 210 + 206 + 212 + 184 + 174 + 185 + 242 + 188 + 212 + 215 + 247 + 241 + 223 + 220 + 260 + 245 + 259 + 278 + 270 + 280 + 295 + 275 + 285 + 290 + 272 + 273 + 280 + 285 + 286 + 200 + 215 + 185 + 230 + 250 + 241 + 190 + 260 + 250 + 302 + 265 + 290 + 276 + 228) / (55) = 222.47

So, the mean weight of the team members of Football Team A was approximately 222.47 pounds.

(ii) Standard deviation:

We need to calculate the deviation from the mean for each weight and then find the square of the deviations. We can then find the sum of the squared deviations, divide by the number of weights minus 1, and then find the square root of the result.

Deviation from the mean:

177 - 222.47 = -45.47,

203 - 222.47 = -19.47,

211 - 222.47 = -11.47, and so on till,

228 - 222.47 = 5.53

Squared deviation:

(-45.47)^2 = 2070.5489,

(-19.47)^2 = 379.3409,

(-11.47)^2 = 131.4409, and so on till,

(5.53)^2 = 30.6409.

Sum of squared deviations:

sum = 2070.5489 + 379.3409 + 131.4409 + ... + 30.6409

sum = 30589.6409

standard deviation = square root of [(sum of squares of deviations from the mean) / (number of observations - 1)]

standard deviation = square root of [(30589.6409) / (55 - 1)]

standard deviation = 28.32

So, the standard deviation of the weights of the team members of Football Team A was approximately 28.32 pounds.

(iii) 3 standard deviations below the mean:

3 standard deviations below the mean = mean - (3 * standard deviation) = 222.47 - (3 * 28.32) = 136.83

So, a weight that is 3 standard deviations below the mean is approximately 136.83 pounds.

(iv) Player A's weight in terms of standard deviations:

Player A's weight = 228 pounds

Player A's deviation from the mean = 228 - 222.47 = 5.53

Player A's weight in terms of standard deviations = 5.53 / 28.32 = 0.20

So, Player A was approximately 0.20 standard deviations above the mean.

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Complete question: Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year. 177; 203; 211; 211; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265 Assume the population was Football Team A. Find the following. (Round your answers to two decimal places.) (i) the population mean (ii) the population standard deviation (iii) the weight that is 3 standard deviations below the mean (iv) When Player A played football, he weighed 228 pounds. How many standard deviations above or below the mean was he?


Related Questions

proving that a quadrilateral is a parallelogram quiz part 1

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A quadrilateral whose diagonals are parallel is referred to as a parallelogram. A parallelogram has equal angles on each side. A parallelogram has equal lengths on its opposing sides.

Prove :

A parallelogram's diagonals cut through one another. Show: If a quadrilateral's one set of opposing sides is congruent and parallel, the quadrilateral is a parallelogram.

ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another. Having four sides in two dimensions, a quadrilateral. Square, rectangle, rhombus, trapezium, parallelogram, and kite are all examples of 2D shapes that are quadrilaterals.

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All of the following are determinants of demand except ____________.
a. tastes and preferences
b. quantity suplied
c. income
d. price of related goods

Answers

Answer:

quantity supplied

Step-by-step explanation:

Which of the following is a linear polynomial * x 5 X² 5 x³ 5?

Answers

The equation x 5 x² 5 x³ 5, this is not a linear polynomial as the highest degree of the polynomial is 3.

A linear polynomial is a polynomial of degree one, and it is of the form ax + b. In this equation, a and b are constants, and x is the variable. In the case of the equation x 5 x² 5 x³ 5, this is not a linear polynomial as the highest degree of the polynomial is 3.

The expression x 5 X² 5 x³ 5 is not a linear polynomial. This expression is a third degree polynomial, which means that it is a polynomial with an exponent of 3 in its highest term.

The equation can be written as x + 5x² + 5x³, which is a polynomial of degree 3. To calculate the value of this equation, we can substitute any value for x and calculate the result. For example, if we substitute x = 2 the equation becomes 2 + 10 + 40 = 52. This is not a linear polynomial because it is an equation of degree 3.

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In what ratio the point 3/4 divide the line segment joining the points 1 2 and 6 7?

Answers

The point ( 3, 4) divides the given line segment formed by joining the points  ( 1,2) and ( 6,7) in the ratio of 2 :3.

As given in the question,

Given points to formed a line segment are :

(x₁ , y₁ ) = (1, 2)

( x₂ , y₂ ) =  (6, 7 )

Point that divides the given line segment is ( x , y ) = ( 3, 4 )

Standard formula to divide a line segment in the ratio m : n is given by :

( x ,y ) = [ (mx₂ + nx₁)/(m + n) ,  (my₂ + ny₁)/(m + n) ]

Substitute the value we get,

⇒ ( 3,4 ) =  [ (6m + n)/(m + n) ,  (7m + 2n)/(m + n) ]

⇒(6m + n)/(m + n)  = 3 or (7m + 2n)/(m + n) = 4

⇒ 6m + n = 3m + 3n or 7m + 2n = 4m + 4n

⇒ 3m = 2n or 3m = 2n

⇒ m : n = 2 : 3

Therefore, the required ratio that divides the given line segment at point (3,4 ) is equal to 2 :3.

The above question is incomplete, the complete question is :

In what ratio the point (3,4 ) divides the line segment joining the points (1 ,2) and (6 , 7) ?

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What is the angel pair of 3 and 4

Answers

From the figure, you can see that ∠3 and ∠4 are supplementary because they are linear pairs.

Answer:

Linear pair

Step-by-step explanation:

Angle 3 and angle 4 form a linear pair. The measure of angle 3 is four more than three times the measure of angle 4.

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How do you translate a log function?

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A log function can be translated by using a combination of operations such as addition, subtraction, multiplication and division to shift the function up or down, left or right on the graph.

For example, multiplying the log function by a constant (e.g. 3) will shift the graph up 3 units, while dividing the log function by a constant (e.g. 2) will shift the graph down two units. Another example would be adding a constant (e.g. 4) to the log function will shift the graph to the right 4 units, while subtracting a constant (e.g. 5) will shift the graph to the left 5 units on the graph.

Log functions can be translated by using a combination of operations such as addition, subtraction, multiplication and division to shift the graph up, down, left or right. Multiplying a log function by a constant will shift the graph up, while dividing the log function by a constant will shift the graph down. Adding a constant to the log function will shift the graph to the right, while subtracting a constant will shift the graph to the left.

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The number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.

D(h) = 25e -0. 4

When the number of milligrams reaches 6, the drug is to be injected again. How much time is needed between injections?

Round your answer to the nearest tenth, and do not round any intermediate computations.

Answers

The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.

We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is

[tex]D(h)=25 {e}^{ - 0.4 h}[/tex]

We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.

[tex]6 = 25 {e}^{ - 0.4h} [/tex]

[tex] \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} [/tex]

[tex]0.24= {e}^{ - 0.4h} [/tex]

Taking logarithm both sides of above equation , we get,

[tex] \ln(0.24) = \ln( {e}^{ - 0.4h)} [/tex]

Using the properties of natural logarithm,

[tex] \ln(0.24) = - 0.4h[/tex]

[tex] - 1.427116356 = - 0.4h[/tex]

[tex]h = \frac{1.42711635}{0.4} = 3.56779089[/tex]

=> h = 3. 6

So, after 3.6 hours, the patient needs to be injected again.

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How many hours drive is 250 km?

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250 km is approximately 3 hours and 15 minutes of driving time.

The time it takes to drive 250 km (155 miles) depends on the speed at which you are driving. If you are driving at an average speed of 80 km/h (50 mph), then it will take approximately 3 hours and 15 minutes to drive 250 km (155 miles). However, if you are driving at higher speed, such as 90 km/h (56 mph), it will take slightly less time - around 2 hours and 50 minutes. The time it takes to drive 250 km will also depend on the traffic situation and other factors such as the number of stops you make along the way. Generally, it is recommended to allow at least 3 hours and 15 minutes to drive 250 km.

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Marcus had 73 dollars. He
bought a toy car for 39 dollars.
How much money does Marcus
have left?

Answers

Answer:

34

Step-by-step explanation:

This is the answer because subtracting the two would result in the number 39.

73-39=34

The answer to this question questions is 34 because 73-39 is 34

The question is in the photo for you to answer.

Answers

Answer:

The answer is 2721

How should i do number 16 with the geometric mean?

Answers

Answer:

3 √4096

Step-by-step explanation:

First we multiply them: 10 × 51.2 × 8 = 4096

Then (as there are three numbers) take the cube root: 3 √4096 = 16

What is the slope of the line?
m

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Answer: You got this

Step-by-step explanation:

use  y2-y1/x2-x1 and find two points then get m

1/4 divided by 2 2/3

Answers

Answer:

Step-by-step explanation:

(1/4) : (2 2/3) = 3/

32

= 0.09375

hope this helps :)

i dont get this can someone help me

Answers

Answer:

y+3/2x+1

Step-by-step explanation:

Which of the following pairs of functions are inverses of each other?

Answers

A pair of functions that are inverses of each other is: B. f(x) = 4x³ + 5 and g(x) = ∛[(x - 5)/4].

How to determine the pairs of functions?

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

f(x) = y = ∛(x + 3) - 5

x = ∛(y + 3) - 5

x + 5 = ∛(y + 3)

Taking the cube of both sides of the function, we have:

(x + 5)³ = y + 3

g(x) = y = (x + 5)³ - 3 (Not inverse).

For the second option:

f(x) = y = 4x³ + 5

x = 4y³ + 5

x - 5 = 4y³

Dividing both sides of the function by 4, we have the following:

y³ = (x - 5)/4

Taking the cube root of both sides of the function, we have:

g(x) = y = ∛[(x - 5)/4] (Inverse)

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what is the point of concurrency for angle bisectors

Answers

It is a point where all the angle bisectors of a triangle meet.

The point of concurrency for angle bisectors is a point where the angle bisectors of a triangle intersect. In other words, it is a point where all the angle bisectors of a triangle meet.

When we construct the angle bisectors of a triangle, they will always intersect at a single point, this point is known as the incenter of the triangle.

The incenter is the center of the inscribed circle, which is the circle that is tangent to all three sides of the triangle.

It is also important to note that the incenter is always inside the triangle and it is equidistant from all three sides of the triangle.

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If x and y have a proportional relationship, and y=15 when x=8, what is the value of y when x=10?

Answers

The value of y = 18.75 if x and y have a proportional relationship, and y=15 when x=8 and when the value of x = 10 .

What is ratio ?

ratio can be defined as the given value divided by the total value called as the ratio.

Given ,

If x and y have a proportional relationship, and y=15 when x=8, what is the value of y when x=10

So , from the given given values,

8 / 15  = 10 / y

8*y = 15*10

y = 150 / 8

y = 75 / 4

y = 18.75

Hence, The value of y = 18.75 if x and y have a proportional relationship, and y=15 when x=8 and when the value of x = 10 .

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Which of the following method is used for the solution of pair of linear equations in two variables?

Answers

The most common method used for solving a pair of linear equations in two variables is the elimination method. This method involves adding or subtracting the equations to eliminate one of the variables so that the remaining equation can be solved.

The most common method used for solving a pair of linear equations in two variables is the elimination method. This method involves adding or subtracting the equations to eliminate one of the variables so that the remaining equation can be solved. Elimination is the simplest way to solve linear equations since it eliminates the need to do any complicated algebraic manipulations. With this method, one of the two equations is manipulated so that one of the variables is cancelled out. Once the equation is simplified, the remaining variable is solved for and can be substituted into the original equation to find the value of the second variable. The elimination method also allows for the simultaneous solving of more than one pair of equations. This is useful when solving more complex problems that involve multiple unknowns. The elimination method is a straightforward and effective way to solve linear equations in two variables and is one of the most commonly used methods for solving this type of problem.

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the complete question is

Which of the following method is used for the solution of pair of linear equations in two variables is  elimination method

How many calories would a 150 pound teenager take in by eating a bamboo at the same rate as a 250 pound panda

Answers

They are constructed like predators on the inside, though. According to a recent study, protein makes up about 50% of their daily caloric intake.

what is cylinder ?

The cylinder, which is frequently a solid in three dimensions, is one of the most fundamental curved geometric forms. In simple geometry, this object is referred to as a prism with a circle as its base. A cylinder is also characterized as an infinitely curving surface in a number of modern domains of geometry and topology. The term "cylinder" refers to a three-dimensional object that has curved surfaces and circular tops and bottoms. A cylinder is a three-dimensional solid figure with two bases that are both identical circles linked by a curved surface at the height of the cylinder, which is determined by the separation of the bases from the center. Cold drink cans and the wicks on toilet paper are examples of cylinders.

given

Giant pandas have a herbivorous appearance from the outside.

They consume bamboo almost constantly while awake.

They are constructed like predators on the inside, though.

According to a recent study, protein makes up about 50% of their daily caloric intake.

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a senate committee has 8 republicans and 6 democrats. in how many ways can we form a subcommittee of 5 members that has at least one member from each party?

Answers

There are 10560 ways we form a subcommittee of 5 members that have at least one member from each party.

Combinations are defined as the selections made by taking some or all of a number of objects, irrespective of their arrangements.

The number of combinations of n different things taken r at a time, denoted by nCr and it is given by,

[tex]^nC_{r} =\frac{n!}{r!(n-r)!}[/tex]

where 0 ≤ r ≤ n.

The given information is committee has 8 republicans and 6 democrats.

we have to form a subcommittee of 5 members with at least one from each group.

Hence we need to select one from each and then the remaining 3 can be of any type.

No of ways =  ⁸C₁*⁶C₁*¹²C₃

                    = 48*220

No of ways=10560 ways.

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The perimeter of a rectangular garden is 42 feet. The length of the garden is 5 ft more than twice the width. Which system pf equations will determine the length ,L, and the width ,w, of the garden

Answers

The system of equations which used to determine the length ,L, and the width , W, of the rectangular garden are, L + W = 21 and L - 2W = 5.

Let the length of rectangular garden

= L feet

and the width of rectangular garden

= W feet

We have , perimeter of a rectangular garden = 42 feet

As we know , the perimeter of a rectangle with length, L and width, W is = 2(L+ W)

so, 2(L+ W) = 42 feet

dividing by 2 both sides

=> L + W = 21 ---(1) , which is a linear equation. Now, it is say in problem that length of rectangular garden is 5 ft more than twice the width, i.e., L = 5 + 2W

=> L - 2W = 5 --(2)

To determine the dimensions, we have to solve the system of equations, (1) and (2)

Substract the equation (2) from (1),

L + W -( L - 2W) = 21 - 5

=> L + W - L + 2W = 16

=> 3W = 16

=> W = 16/3 feet

plugging the value of W in equation (1) ,

L = 21 - W = 21 - 16/3 = 47/3 feet

Hence, the required system of equations are L + W = 21 and L - 2W = 5.

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What is the range of f x )= x2?

Answers

The range of the function f(x) = x² is [0, ∞).

The term function in math is defined as the term that define the relationship between two variables one is referred as dependent and the other is independent.

Here we have given that the function f(x) = x².

And we need to find the range of the function.

As we all know that the range is the set of all valid y  values.

So, here we have to use the graph to find the range.

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

Then through the graph we have identified the Interval Notation, that is written as,

=> [0,∞)

And the Set-Builder Notation of the range is written as {y | y ≥ 0}

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is y=75x-56 a proportional relationship?

Answers

Therefore , the solution of the given problem of  proportionality relationship comes out to be  it is not proportional relationship.

How does proportionality work?

Relationships are regarded to as proportional when they continuously have the same ratio. For instance, the number of trees in an airport and the number of apples in a harvesting of apples depend on the average number of apples produced by each tree. A linear relation between two number or variables is referred to as being proportional in mathematics. If the initial quantity doubles, the other amount also does so. Whenever one of the parameters is reduced to 1/100th of the its previous value, the other decreases as well.

Here,

Given :

=> y=75x-56

The proportional relationship says that the line of the given equation passes through origin ,

So , if we put x = 0,

We should get y=0.

So ,

=>  y=75(0)-56

=> y = 56

Thus , x =0 and y=56  because this line do not pass through origin it is not proportional relationship.

Therefore , the solution of the given problem of  proportional relationship comes out to be  it is not proportional relationship.

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Which expressions are equivalent to 3/4a(16b+24)? Choose 3 correct answers

Answers

Answer:

There are multiple equivalent expressions for 3/4a(16b+24). The correct answers are:

(3/4)a(16b+24)

3/4(a16b+a24)

3/4*(16ba+24a)

Each of these three expressions are equivalent to 3/4a(16b+24) because they all multiply 3/4 by (16b+24) and (a) respectively, and all the operations of multiplication and addition are distributive.

Step-by-step explanation:

It takes an ant farm 3 days to consume 1/2 of an apple
At that rate, how many days will it take the ant farm to consume 3 apples?

Answers

Answer:

18 days

Step-by-step explanation:

You need to decide how many times 3 apples are more than ½: 3 / ½ = 6

So it will take 6 times more time: 3 x 6 = 18 days.

Click and drag like terms onto each other to simplify fully.
-6x−6x+1+1-3−3-7−7
someone help me with the result.

Answers

The value of the expression -6x + 1 - 3 -7 will be -6x - 9.

How to solve the expression?

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

It should be noted that some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. The value of -6x + 1 - 3 -7 will be:

= -6x + 1 - 3 -7

= - 6x - 9

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Complete question

simplify fully.

-6x + 1 - 3 -7

A bird flies from the bottom of a canyon that is 85 4/5 feet below sea level to a nest that is 880 1/2 feet above sea level. What is the difference in elevation between the bottom of the canyon and the​ bird's nest?

Answers

Answer:

The elevation of the bottom of the canyon is 85 4/5 feet below sea level. To convert it to the normal number, we can convert the fractional part to decimal by dividing the numerator by the denominator. So 4/5 can be converted to 0.8. Now we can add this decimal part to the whole number.

85 + 0.8 = 85.8

So the elevation of the bottom of the canyon is -85.8 feet below sea level.

The elevation of the bird's nest is 880 1/2 feet above sea level.

So the difference in elevation between the bottom of the canyon and the bird's nest is = 880 + 0.5 - (-85.8) = 880.5 - (-85.8) = 966.3

Therefore, the difference in elevation between the bottom of the canyon and the bird's nest is 966.3 feet

So, the bird flies 966.3 feet to reach the nest.

пожалуйстаааа помогитее, у меня мало баллов но прошу

Answers

Answer:

Я не вижу достаточно, чтобы прочитать весь вопрос, но я надеюсь, что это поможет.

и как человек с английским в качестве основного языка и изучающий русский, я с удовольствием использую эти навыки.

Find the lengths of the legs.

Answers

The length of the femur + tibia.

What is the leg’s length?

Leg length (LL) is defined anatomically as the length of the femur plus the tibia. Because humans are bipedal, “leg length” is frequently measured as (femur + tibia + the height of the foot, from the tibia-talus articulation to the ground).

Leg lengths should be measured to see whether there is a discrepancy from one side to the other. It is critical to distinguish between genuine and perceived leg length deficiencies. A pelvic obliquity, contractures, or scoliosis may cause an apparent or functional leg length disparity. The majority of leg length discrepancies are normal. No one is exactly symmetrical, and adults often have a discrepancy of up to 2 cm.

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-
25. The largest known carnivorous dinosaur, Spinosaurus, weighed about 18,000
pounds. How many tons did the Spinosaurus dinosaur weigh?
a.
9 tons
b. 18 tons
C.
36 tons
d. 90 tons

Answers

It had a 1.75 m (about 6 ft.) long cranium, a body length of 14 to 18 m (46 to 59 ft.), and an estimated mass of 12,000 to 20,000 kg (13–22 tons).

What is meant by pounds?In mathematics, a pound is a unit of measurement that represents the mass or volume of a certain item. Pounds, or how heavy something is, are measured in that way. A soccer ball weighs roughly one pound, as an illustration. Since "lb." stands for libra, a pound is rendered as lb. or lbs.Both terms are equivalent because one lb. is another term for one pound. One pound is equal to one pound. The word pound is actually short for "lb," which stands for pounds. The kilogram was comparable to roughly 2.2046213 pounds according to the given equivalence for the pound: 1 lb. = 453.59265 g or 0.45359 kg.453.592 grams (g), or 0.4536 kilograms (Kg), are equivalent to one pound (there are 1000 grams in a kilogram). The word "pound" comes from the Roman measurement system known as the Libra Pando, which stood for a pound by weight.

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His employer calculates pension by finding the average of his last 4 years salaries and will give him 1. 9% of that average for each year he worked. Calculate his pension Animal Name : ___________________________Draw organism below:List and describe three characteristics:1)2)3) In a physics lab experiment, a spring clamped to the table shoots a 19 g ball horizontally. When the spring is compressed 20 cm, the ball travels horizontally 5.2 m and lands on the floor 1.6 m below the point at which it left the spring. What is the spring constant? The work done in lifting a forty-pound crate three feet is ? 1. one hundred twenty foot-pounds2. thirteen foot-pounds3.thirty-seven foot-pounds4.forty-three foot-pounds A bedroom door in the house has the same dimensions length and all at the front door. The length is 30 in rather than 63 how much is the value of the front doors in the bedroom door sunny is interested in a career that involves designing systems, managing employees, and planning security for an organization. what career would be a good fit for sunny? (5 points) cybersecurity engineer security analyst cybersecurity consultant security architect a corporation must write that set out the purpose of the business and how it is to be governed. multiple choice question. an indenture agreement articles of incorporation a partnership agreement a legal will rank the magnitude of each objects acceleration from greatest to least. disregard the direction of the accelerations. What factors influence the opportunity cost of decisions? DIRECTIONS: The following passages have a similar topic but different diction, tone andpurpose. Read the passages, and then complete the chart.Passage 1: Those with an epicurean bent need not trouble themselves with Central Grillon Main Street. Despite the cackling of fawning food critics, the offerings at thiscramped, noisy eatery are, in fact, uninspired, and the service is lamentable. Blaring,ear-shattering rock music and inattentive servers greet you, and when your inexpertlyprepared, lukewarm, bland meal arrives after what seems an interminable wait, you findyourself wondering why you bothered. Avoid Central Grill, or visit at your own peril.Passage 2: Central Grill on Main Street is awesome! When you go in, cool music isplaying, and the vibe is perfect. The servers are totally chill, and you have plenty of timeto check out the menu, talk with friends, and listen to the music before your food comesout. And let me say, it is super-yummy. Foodies take note: You'll be snapping andposting lots of pics. Your friends will be super-jealous. Definitely check this place out!. Topic of the passages:What is the diction of eachpassage?List three words or phrasesfrom the passage thatcontribute to the diction ineach one.one.What is the tone of eachpassage?List three words or phrasesfrom the passage thatcontribute to the tone in eachWhat is the purpose of eachpassage?Passage 1Passage 2 A pizzeria sells three sizes of pizza: small, medium, and large. The pizzas sell for $6, $9, and $10, respectively. One evening they sold 37 pizzas and received $321. If they sold 9 more large than medium pizzas, how many of each size did they sell?Use the Gaussian elimination method with back substitution to solve the given word problem. What rhythm pattern is mostly used by poets? Who is God's third child? Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.(1, 2), (2, 4), (3, 8), (4, 16)Part A: Is this data modeling a linear function or an exponential function? Explain your answer.Part B: Write a function to represent the data. Show your work. Part C: Determine the average rate of change between station 2 and station 4. Show your work. Five (5) years ago, when the relevant cost index was 120, a nuclear centrifuge cost $40,000. The centrifuge had a capacity of separating 1500 gallons of ionized solution per hour. Today, it is desired to build a nuclear centrifuge with the capacity of 4500 gallons per hour, but the cost index is now 300. Assuming a power-sizing exponent (x) of 0. 75, estimate the approximate cost of the new reactor today. Choose the closest value which graph represents the solutions to this system of inequalities? x=5y10