Percent Obese by State
Computer output giving descriptive statistics for the percent of the population that is obese for each of the 50 US states, from the
USStates dataset, is given in the table shown below. Since all 50 US states are included, this is a population, not a sample.
Variable N Mean StDev Minimum
Q1 Median Q3
Maximum
Obese 50 31.43 3.82
28.6 30.9 34.4

Need help with b) and c)

Percent Obese By StateComputer Output Giving Descriptive Statistics For The Percent Of The Population

Answers

Answer 1

Using the normal distribution, it is found that:

b)

The maximum 39.5% obese has a z-score of 2.11, hence it is 2.11 standard deviations above the mean.

The minimum 23% obese has a z-score of -2.21, hence it is 2.21 standard deviations below the mean.

c) The interval is 23.79% to 39.07%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

For this problem, the parameters are given as follows:

[tex]\mu = 31.43, \sigma = 3.82[/tex]

The maximum weight is of 39.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (39.5 - 31.43)/3.82

Z = 2.11.

The maximum 39.5% obese has a z-score of 2.11, hence it is 2.11 standard deviations above the mean.

The maximum weight is of 23, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (23 - 31.43)/3.82

Z = -2.21

The minimum 23% obese has a z-score of -2.21, hence it is 2.21 standard deviations below the mean.

For item c, we consider the Empirical Rule, which states that 95% of the measures are within 2 standard deviations of the mean.

Then:

31.43 - 2 x 3.82 = 23.79.31.43 + 2 x 3.82 = 39.07.

The interval is 23.79% to 39.07%.

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Related Questions

=2×10⁸+10⁷/ 7x10⁴x10³ ​

Answers

Answer:

answer is =3

Step-by-step explanation:

2*100000000+10000000/7*10000*1000

=210000000/70000000

=3

mr mechoui is raising sheep. He has approximately 800 before going to bed he counts them by 10 by 12 and by 15 each time he finds the exact number. how many sheep does he have exactly ?

Answers

He has 780 sheep.

To find the answer, you need to check the multiples of 10, 12 and 15 and find the common multiple just below 800.

please, can anyone solve this integral? ​

Answers

pi/2

here’s a pic of my work, I hope this helps a little:

I need help please with this problem

Answers

Answer:

Step-by-step explanation:

4.5 in

Divide the area of the triangle by the height.

A company makes desks, coffee tables, and corner tables. Each item uses units of wood, fabric, and stuffing.

Desks use 50 units of wood, 40 units of fabric, and 45 units of stuffing.
Coffee tables use 30 units of wood, 15 units of fabric, and 10 units of stuffing.
Corner tables use 5 units of wood, 5 units of fabric, and 5 units of stuffing.
There are 690 units of wood, 620 units of fabric, and 510 units of stuffing available to make the items.

Which three equations are needed to find the largest number of x desks, y coffee tables, and z corner tables that can be made?

Drag and drop the correct equations into the box.

Answers

Answer: 50x+30y+5z= 690

              40x+15y+5z= 620

              45x+10y+5z= 510        

Step-by-step explanation: The first equation to find units of wood, the second is for the units of fabric, and the third is for the units of stuffing.

What is the GCF of 24 and 42?

Answers

Answer:

6

Step-by-step explanation:

To find the GCF by factoring, list out all of the factors of each number and select the largest that both have in common.

6. Fudge There are 99 calories in an ounce of cream cheese,
12 calories in a teaspoon of vanilla extract, 389 calories in
a cup of powdered sugar, and 145 calories in a square of
chocolate. Salt has 0 calories. (See Example 2.)
a. How many calories are in the fudge recipe?
b.
This recipe uses an 8-inch by 8-inch dish. How many
calories are in a 1-inch by 1-inch piece of fudge?

Answers

Using proportions, it is found that:

a. There are 2736 calories in the fudge recipe.

b. There are 42.75 calories in a 1-inch by 1-inch piece of fudge.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, the recipe is composed by:

6 ounces of cream cheese: 99 calories per ounce.1/8 of a teaspoon of salt: 0 calories.1/2 of a teaspoon of vanilla extract: 12 calories in a teaspoon.4 cups of sugar: 389 calories per cup.4 squares of chocolate: 145 calories per square.

Hence the number of calories in the recipe is given by:

6 x 99 + 0.5 x 12 + 4 x 389 + 4 x 145 = 2736.

There are 2736 calories in the fudge recipe.

For item b, the areas are given as follows:

Dish: 8 x 8 = 64 inches².Piece: 1 x 1 = 1 inch².

Hence the piece of fugde is 1/64 of the recipe, thus:

1/64 x 2736 = 42.75 calories.

There are 42.75 calories in a 1-inch by 1-inch piece of fudge.

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Membership at the Lose for Less Gym requires new members to pay an
enrollment fee of $79.95 and purchase a key card for $19.95, in addition to
the regular monthly fee of $24.95.
Write an equation that represents the cost C for membership for m months.
What is the cost of a 2-year membership?
$1,157.55
$698.70
$678.75
$2,422.55

Answers

The equation that represents the cost C for membership for m months is:99.90+24.95m

The cost of a 2-year membership is $698.70

What makes up the total cost for membership for m months?

The fact that each member has to pay an enrollment fee and purchase key card for $79.95  and $19.95 respectively, means that the total fixed charge which is sum of both amounts is computed as shown below:

fixed charge=$79.95+$19.95

fixed charge=$99.90

variable cost per month=$24.95

total variable cost of m months=24.95m

C=99.90+24.95m

m=24(24 months=2 years)

cost of a 2-year membership=99.90+(24.95*24)

cost of a 2-year membership=$698.70

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Determine the slope of the line that contains the given points.
J(7,-3), K(-8,-3)

Answers

The slope of the line containing (7,-3) and (-8,-3) is  Zero(0).

The slope of a straight line can be written as follows,

m =  [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex]                 equation1

The line is containing the points (-3,3) and (4,3). So, we can write

[tex]y_{2}[/tex] = -3 , [tex]y_{1}[/tex] = -3 , [tex]x_{2}[/tex] = -8 , and [tex]x_{1}[/tex] = 7 .

On substituting the values of variables in equation1, we will get

m = ( (-3)-(-3) ) / ( (-8)-(7) ) = (0/(-15)) = 0.

As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.

Here:

m = the slope of the line

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.

The slope of the line containing  (7,-3) and (-8,-3) is  Zero(0).

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Given the following linear function, determine the slope of a line perpendicular to f(x) : f(x)=2/7x - 9

Answers

Answer:

f(x):f(x)=2/7x-9

Step-by-step explanation:

If it is wrong than i am sorry

4 in.
4 in.
What is the volume of this container?

Answers

If you still need it, the answer is 56in^3

Find the value of each variable and the measure of each labeled angle

Answers

assuming 2x= 3x-42,

x=42

2x= 84

and 3x-42= 84

A room has an area of 32 square feet. How many square inches is that? How many square
yards?

Answers

Answer:

In bold below.

Step-by-step explanation:

There are 12*12 = 144 square inches in a square foot.

So, there are 144 in^2 per 1 ft^2

So, we have:

               144 in^2

32 ft^2     -----------   =      4608 in^2.

                   1 ft^2

For yards it is 1 yd^2 per 9 ft^2 :-

                  1 yd^2

32 ft^2 =   ------------ =   3.56 yd^2.

                    9 ft^2


COORDINATE GEOMETRY Find the distance from P to l .Line l contains points (0,-2) and (1,3) . Point P has coordinates (-4,4) .

Answers

According to the given statement the perpendicular distance form the point  (-4,4)  is 66.3.

What Exactly Is Coordinate Geometry?

Coordinate Geometry can be used to define points in space. The primary axis labeled a x- and y-axes is defined first, and then the points were measured and labelled in relation to these points. Furthermore, numerous geometric forms such as a line, curve, circle, ellipse, and hyperbola can be plotted inside the coordinate axes and their attributes studied.

According to the given data:

the equation for line ℓ.

Begin by finding the slope of the line through the given points,(0,-2) and (1,3):

m = (Y₂ - Y₁)/(x₂ - x₁)

  = (3 - (-2))/(1 - 0)

  = 5/1

  = 5

The equation of the line using point (1,3) on the line:

Y - Y₁ = m(x - x₁)

putting value we get: (m = 5)

Y - (-2) = 5(x - 1)

Y + 2 =  5x - 5

Y  = 5x - 3

The equation of the line w perpendicular to line ℓ through P(-4,4).

The slop of line l is 5. Write the equation of the line using point P(-4,4) on the line.

Y - Y₁ = m(x - x₁)

Y - 4 = 5(x - (-4))

Y - 4 = 5x + 4

Y = 5x + 8

Solve the system of equations to determine the point of intersection. Subtract both sides of (1) and (2) to eliminate y.

5x + 8 = 5x - 3

5x + 8 - 5x + 3 = 0

x = 11

putting the value of x to find y:

Y = 5x + 8

Y = 62

Applying the formula to find the distance of a points:'

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

d = √((11 - 4 )² + (62 + 4)²)

d = √(4405)

d = 66.3

According to the given statement the perpendicular distance form the point  (-4,4)  is 66.3.

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PLEASE HELP SOLVEEEEE

Answers

Answer:

10 24 32 are the answers

Step-by-step explanation:

My mom is a teacher lol

Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.

If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q →

Answers

The true statements are

If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → q

How to determine the true statement?

The original statement is given as:

If a number is negative, the additive inverse is positive

This can be represented as

If p, then q

i.e. if p → q

So, (a) is correct

For the inverse, we simply negate the hypothesis and the conclusion

i.e. if ¬p → ¬q ----(b) is correct

For the converse, we simply switch the hypothesis and the conclusion

i.e. if q → p ----(e) is correct

Hence, the true statements are (a), (b) and (e)

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Find the percent change. Andy's bank account went from $99 to $70.

Answers

The percentage of $99 to $70 is -29.29.The percentage change of $99 to $70 is decreases.

How to find the percentage change of Andy's bank account?

given that

the Andy's bank account went from $99 to $70.

The previous value is $99.

The new value is $70.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is generally represents by the percent sign, "%."

The most reliable indicator of percent change is the percent of growth or decrease. Calculations are frequently used to determine how much something has changed,

so the

change = original - new = $99 - $70 = -29

[tex]percentage = \frac{ - 29}{99} \times 100[/tex]

percentage = -29.29.

Hence,The percentage change of $99 to $70 is decreases.

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-2.45 as a fraction form

Answers

In fraction form, the number -2.45 would look like:

-2 45/100 OR -2 9/20 (simplified)

To convert this number to a fraction, we have to take note of the required signs:

• The interval is negative
• The denominator is 100
• We have 2 whole

With that in mind, we know our number will be a mixed number, which means it is comprised of a whole number and a fraction. With two as a whole number, we can list our number as:

-2 ??/???

Since we know this fraction has 100 as a denominator and 45 as a numerator, we can set it up. That would look like:

-2 45/100

Now we can simplify. To do this, we divide both numbers in the fraction portion by 5. This would look like:

45 / 5 = 9

100 / 5 = 20

Therefore, our final fraction is 9/20. Adding the -2 to that:

-2 9/20

Answer Recap: -2 9/20 is representative of this number in fraction form.

Why do you think that it is important to learn about points, lines, and planes?

Answers

Points lines and plane together are the undefined teerms that provide the base for geometry . the definition must be a word whose meaning is accepted as intiutively clear as that meaning is accepted without definition this words are called undefined terms . Although these terms are not defined in a broad way it is used for defining other terms but a small description is needed .

POINTS is the most fundamental object in geometry just like cell is the basic unit of life . A point just looks like a dot and is named by a variable the objecive of the point is to represent a position only .It has zero size .

LINES A straight line can be a medium connecting a set of infinetly many points . it extends infinitely in opposite direction . It has infinte lenght , no widht , no height .The symbol ↔  denotes that line , a line can also be denoted with a smaller letter .

PLANES It is considered as a set of infinite points joining to form a flat surface extending in all directions infinetly it has undefined lenght widht and no height . A single capital letter is used to denote a plane .

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Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity? negative forty nine over 8 times d minus one tenth forty nine over eight times d minus one tenth negative three eighths times d minus one and three tenths negative three eighths times d minus one tenth

Answers

Answer:

Step-by-step explanatio                                                                                                     -3/8d-1 3/8

The expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or (-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

-49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

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The price of a DVD is $6.5. It increase by 10% then another 30%
Use a multiplier and do this in only multiplying 2 times

Thanks for helping

Answers

Answer:

$6.5*1.1*1.3 = $9.30

Given

Initial price = $6.5First increase = 10%Second increase = 30%

Solution

Price after first increase:

6.5 + 10% = 6.5 + 6.5*10/100 = 6.5*(1 + 0.1) = 6.5*1.1 =7.15

Price after second increase:

7.15 + 30% = 7.15 + 7.15*30/100 = 7.15(1 + 0.3) = 7.15*1.03 = 9.30 (rounded to the nearest cent)

The two steps above can be combined as:

$6.5*1.1*1.3 = $9.30

uppose a person who is 81 inches tall casts a shadow that is 94.5 inches long. Another person in the same place casts a shadow that is 84 inches long. Determine the height of the second person.

Answers

The height of the second person is 72 inches .

The quantitative relation is outlined because the comparison of 2 quantities of constant units that indicates what proportion} of 1 amount is gift within the alternative quantity .

Let the height of the second person be "x"

We need to line up a relationship between 2 sets of numbers.

We are told that the connection could be a direct proportion as it is given that "a person 81 inches tall casts a shadow 94.5 inches long". therefore we will setup a magnitude relation that relates those 2 which is given by 81/94.5.

Since 81 and 94.5 are unit each in inches and that we will categorical the peak of the tree within the same units, feet, because the shadow of the tree, we do not got to worry concerning conversion of units.

81 is to 94.5 as x is to 84 is given by

81/94.5 = x / 84

0.8571 × 84 = x

      72 = x

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How do I write a percent problem for which the percent is greater than 100 and the part is known???

Answers

Percentages greater than 100% can be expressed as x% where x is any real number

How to express a percentage greater than 100%?

As a general rule, percentages are represented by %

Take for instance

x% is pronounced x percentage

Where x is any real number

Whether x is greater than 100 or not, the format of the expression remains the same

i.e. 150 percent is written as 150% and 25 percent is written as 25%

Hence, percentages greater than 100% can be expressed as x% where x is any real number

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Please help 1 through 3

Answers

i) cost of oil change = $29.99

ii) Balance on December 1 = $252.009

iii) Difference between the two balance = $85.79

According to the question we have been that

           Total balance on November 1 = $337.88

i) We need to find how much did the oil change cost.

  For that we will first calculate how much balance was left after depositing after pay check.

Balance after spending in groceries= $337.88 - $ 42.59 = $295.29

Balance after depositing from savings account = $295.29 + $125.00 = $420.29

Balance after spending in electric bill = $420.29 - $35.67 = $384.62

Balance after depositing from paycheck = $415.00 + $384.62 = $799.62

Therefore, Cost of oil changing = $799.62 - $769.63 = $29.99

ii) For the balance on December 1 after rent had paid, we will first calculate the balance after spending for birthday present.

Balance after spending for birthday present = $769.63 - $17.54 = $752.09

Therefore the balance on December 1 = $752.09 - $500.00 = $252.09

iii) Difference in the two balance is

                                    = balance on November 1 - Balance on December 1

                                    = $337.88 - $252.09

                                    = $85.79

Hence the difference in the two balances is $85.79

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The black marble is farther from the target than the yellow marble but closer to the target than the pink marble. Which marble is farthest from the target?
O the black marble
O the pink marble
O the yellow marble

Answers

Answer:The marble that is farthest from the target is the pink marble.

Step-by-step explanation:

The pink marble is farthest from the target

I need help please I don’t get it

Answers

Answer:

4 or 1

Step-by-step explanation:

100%

u got this hope it helps

Please solve this! Show steps too, please.

Answers

Answer:

y=2x-7

Step-by-step explanation:

[tex]2x-y=6 \\ \\ -2x+y=-6 \\ \\ y=2x-6[/tex]

Parallel lines have the same slope, so we want the line with a slope of 2 through (3, -1).

This line is y=2x-7.

Evaluate f(-3) for

f(x) = 3x + 6

Question 1 options:

-3


10


0


30

Answers

Answer:

The answer is -3

Step-by-step explanation:

f(-3)=3(-3)+6

f(-3)=-9+6

f(-3)=-3

Answer:the answer is -3, the first option (top to bottom)

Step-by-step explanation:

Find f(-3) as shown below

the answer is -3, the first option (top to bottom).

PLEASE HELP !!!!!!!!!!
ASAP THIS IS IMPORTANT

Answers

The size of the segment in the scale drawing using a drawing scale factor of 5 meters to one box is 30 meters.

What are scale factors?

A scale factor is a value with which the dimensions of an original two dimensional geometric figure or a three dimensional solid can be multiplied to obtain an image.

Scale factors are used in maps and drawings to represent a large geographic area, or a life sized object on paper, such that the relative sizes of the sides of the original figure are maintained

Solution;

Using the height of the arc in the drawing as the reference, we have;

50 m is equivalent to 10 boxes

Therefore;

The length of one box = (50 m)/10 = 5 m

The scale of the drawing is therefore;

One box = 5 meters

The length of the given segment = 6 box length

The length, L, of the segment is too therefore;

L = 6 box × 5 m/box = 30 m

The length of the segment is L = 30 meters

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Given two terms of each arithmetic sequence, find a₁ and d .a₄=-2.4 and a₆ = 2

Answers

The common difference d is 2.2 and the first term a1 is -9.

How to find the a1 and d?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same value.

The formula of Arithmetic progression is

a(n) = a1 + (n - 1)d

given that the two terms of arithmetic sequence,

a4 = -2.4 and a6 = 2.

now, find the common difference d.

a(n) = a1 + (n - 1)d

Let take a(n) = a6 and a1 = a4.

a6 = a4 + (6 - 4)d

a6 = a4 + 2d

now substitute the values of a6 and a4

2 = -2.4 + 2d

2 + 2.4 = 2d

d = 4.4/2

d = 2.2

so, the common difference d is 2.2.

then, find the term a1.

take the formula

a(n) = a1 + (n - 1)d

now, substitute a(n) = a4 and d = 2.2.

-2.4 = a1 + (4-1)d

-2.4 = a1 + 3d

-2.4 = a1 + 3(2.2)

-2.4 = a1 + 6.6

a1 = -6.6-2.4

a1 = -9.

so, the first term a1 is -9.

Hence, the common difference d is 2.2 and the first term a1 is -9.

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Which of the following is not a step that can help you establish and maintain a good credit history? a. Open a bank account. b. Purchase a cell phone contract and pay it on time and in full every month. c. Make car payments and car insurance on time. d. Open many credit card accounts. e. All of the above steps help establish good credit history. Do invariant points sometimes, always, or never occur in a rotation? Explain your reasoning. Proteins in the plasma membrane are often the target of medicines. discuss why you think this is the case. A patient in the deepest coma would be scored a _____ on the glasgow coma scale. !!!!DUE BY MIDNIGHT PLEASEE HELPPPPP!!!! Write a summary of "A Plea for Captain John Brown" and focus on the effectiveness of Thoreau's argument. Does a reaction occur when aqueous solutions of silver(i) acetate and nickel(ii) iodide are combined? Find the compound interest and the total amount after three years if the interest is compounded half yearly. if principal is 1024 rate of interest 100% per annum What democratic/political overtones do you hear in early expressions of both puritan and evangelical protestantism in america? 48 inches long and 36 inches wide. What is the area? -0.75(12x+60) = -x-8x - 15. please answer the questions with explanations .option are given at the end. The ________ is/are good index fossils, because (need answers ASAP*)*please and thank you What types of assets should be purchased to support new projects and generate future cash flows? Paris is preparing for the 2024 Olympics. Their newly built single-depth olympic size swimming pool (50m by 25m by 2m) needs to be filled up. If the water bill is equivalent to $1 per 1000 gallons, roughly how many dollars will it cost to fill up the pool? What is the length of the hypotenuse of a 45-45-90 triangle if the leg length is 6 centimeters? What two im i missing? Hi can someone please help me with this!! Im kind of struggling a bit The common monetary policy for the euro zone is now formulated by? the european central bank. the federal reserve bank. the world bank. the bundesbank in germany. What inference about Haida families can be drawn from the actions of the Sky Chief?Families were close, and grandparents lived in the same house or nearby.Crying children were kept away from other family members.Adopting children was not common among Haida people.Children were treated harshly by their parents and grandparents. Describe a sequence of translations, rotations, andreflections that takes polygon P to polygon Q.Use the digital tracing paper if it helps you with yourthinking?