The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2 pounds. The first and third quartiles are 118.3 pounds and 157.3 pounds. Is it reasonable to believe that the distribution of body weights for women aged 20 to 29 is approximately Normal? Explain your answer.

Answers

Answer 1

Answer:

No it is not reasonable to believe that the that the distribution of body weights for women aged 20 to 29 is approximately Normal.

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu =  141.7 \ pounds[/tex]

    The median is  [tex]Q_2 =  133.2 \ pound[/tex]

    The first quartile is  [tex]Q_1 =  118.3 \ pound[/tex]

    The  third quartile  is  [tex]Q_3 =  157.3 \  pound[/tex]

Generally the Bowley's coefficient of skewness is mathematically represented as

        [tex]B = \frac{ Q_3 +[ Q_1 -[2* Q_2}{Q_3 - Q_1}[/tex]

=>     [tex]B = \frac{  157.3  +[ 118.3 -[2* 133.2 }{157.3 - 118.3}[/tex]

=>     [tex]B = 0.2359[/tex]

Give that the  Bowley's coefficient is positive it means that the distribution of weight is positively skewed  


Related Questions

Helpppppppp me plzzzz

Answers

Answer:

x = 10°

Step-by-step explanation:

(5x + 2) + 38 = 90

5x + 2 = 90 - 38

5x = 52 - 2

5x = 50

x = 50 ÷ 5

x = 10°

find the inverse of y=4-x/x​

Answers

Answer:

[tex]f^{-1} (x)[/tex]=[tex]\frac{4}{1+x}[/tex]

Step-by-step explanation:

The first step is to switch y for x and x for y so the equation will look like

x=[tex]\frac{4-y}{y}[/tex]

the next thing you do is isolate y so you have to multiply y to both sides to get

[tex]xy=4-y[/tex] now you got to add y to both sides which would get you

xy+y=4

since xy and y share a y value you have to try and factor out y which would get you

y(x+1)=4

the final step is to divide x+1 on both sides

y[tex]\frac{(x+1)}{x+1}[/tex]=[tex]\frac{4}{x+1}[/tex]

which since x+1 and x+1 crosses each other out we are left with

y=[tex]\frac{4}{1+x}[/tex]

Well if you do -4 on both sides you should get your answer, and you can do x on both sides but divide the number you get for y

Select all terms that are like terms 5 yx2 -8 x2 1.25 x2 1/2 x2 -3.4 x3 4 x 5 3/8

Answers

i believe it would be 5 yx2-8 and 1.25 but i may be wrong

hi please answer ASAP worth 25 points! :P


Factor completely over the set of complex numbers using the factoring pattern.
25m^2 + 36

Answers

Answer:

(5m + 6) • (5m - 6)

Step-by-step explanation:

STEP1:Equation at the end of step 1 52m2 - 36 STEP2:Trying to factor as a Difference of Squares

 2.1      Factoring:  25m2-36 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5 

Check : 36 is the square of 6

Check :  m2  is the square of  m1 

Factorization is :       (5m + 6)  •  (5m - 6) 

Final result :

(5m + 6) • (5m - 6)

simplify
-2.5·4



thanks hhhhhhhhh

Answers

Answer:

-10

Step-by-step explanation:

-2.5 times 4

-10

Answer:

-10

Step-by-step explanation:

Multiply the number -2.5 * 4

= -10

PLEASE HELP ASAP marking brainliest ⚠️⚠️
Use the equation to complete the table
y=2x+5
**The last number is 2

Answers

1, 3, 5, 7, 9 are the x values in order from left to right

Answer:

1st blank : 1

2nd : 3

3rd : 5

4th: 7

Step-by-step explanation:

you have to replace x in the equatoin by the numbers you have in the first line.

For example : y= 2x+5

y= 2(-2) + 5

y= -4+5

y= 1

Kyle has 22 more cards than 3 times the number of cards that Stan owns. Together, they own less than 58 cards. How many cards are in stand collection?
A- Stan owns 9 cards or less
B- Stan owns 9 cards or more
C- Stan owns less than 9 cards
D- Stan owns more than 9 cards

Answers

Answer:

i think the answer is c

Step-by-step explanation:

22x3=66 66-58=8

In stand collection, Stan owns less than 9 cards.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Let x represnets the number of Kyle's cards and y be the number of Stan's cards.

We know that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:

k = 3s + 22 equation (1)

We also knows that together, they own less than 58 cards, so:

k + s < 58 equation (2)

Replace (1) in (2) and solve for :

s + 3s + 22 <58

s <58

Hence, Stan owns less than 9 cards.

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There are about 3×1011 stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.

Answers

The number of stars in the observable universe is; 3.033 × 10¹⁴

Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;

3033 stars or

3033 stars or3.033 × 10³ stars in our galaxy.

However, there are about 100 billion galaxies in the observable universe.

We can rewrite that in scientific notation form so that we have;

100 × 10⁹ or

100 × 10⁹ or 10¹¹ galaxies in the observable universe.

Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;

3.033 × 10³ × 10¹¹

By the laws of indices;

3.033 × 10¹⁴.

Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.

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Simplify:


A.
B.
C.
D.

Answers

Answer:

C

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]

= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]

= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30-19}{8}[/tex]

= [tex]\frac{11}{8}[/tex] → C

The simplification of the given equation is 11/8. thus option /c is correct.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.

The absolute value function always gives a positive result, which is;

| - a | = | a | = a

Given that | 12 - 3 |/4 - | 23 -42 | /8

| 12 - 3 |/4 - | 23 -42 | /8

| 15 |/4 - | -19 | /8

= 15/4 - 19/8

= 30/8 - 19/8

= 11/8

Therefore, the simplification of the given equation is 11/8. thus option /c is correct.

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The weight of an object on the moon is of its weight on Earth. Write 1/6 as a decimal.​

Answers

Answer:

1/6 as an decimal would be, 0.1666 Continued

Step-by-step explanation:

Answer:

0.1666 continuing

Step-by-step explanation:

This is 1/6 as a decimal

What must be the value of x so that lines a and b are parallel lines cut by transversal f?

10
20
22
32

Answers

Answer:

22

Step-by-step explanation:

96° = (6x - 36)° (alternate exterior angles theorem)

Solve for x using the equation.

96 = 6x - 36

Add 36 to each side

96 + 36 = 6x - 36 + 36

132 = 6x

Divide both sides by 6

132/6 = 6x/6

22 = x

x = 22

Answer:22

Step-by-step explanation: took it on edge also f edge2020

please help me understand this!! TRIG

Answers

Answer:

EG ≈ 6

Step-by-step explanation:

sin∅ = opposite over hypotenuse

Since we have a right triangle, we can use trig to solve for the missing values:

∅ = 49°

GE = unknown

FE (hypotenuse) = 8

sin49° = x/8

x = 8sin49°

x = 6.03768

x ≈ 6

EG ≈ 6

PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *

Answers

The second one

Ex;
2(0)+3=3
2(1)+3=7

A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase

Answers

Answer:

132 tiles

Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

The equation is represented as:

$17.82 + $4 × x = $545.82

17.82 + 4x = 545.82

Collect like terms

4x = 545.82 - 17.82

4x = 528

Divide bother sides by 4

4x/4 = 528/4

x = 132

The number of ceramic tiles the contractor bought = 132 tiles

What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?

Answers

ANSWER: 12,345,678

EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:

111,111,102/9 = 12,345,678

so: 9 * 12,345,678 = 111,111,102
which also means

111,111,102/12,345,678 = 9 (with 0 as a remainder)

Which expression is equivalent to 4x^2Sqrt5x^4 • 3sqrt5x^8, if x ≠ 0?
A) 12x^10sqrt5
B) 60x^8
C) 35x^18
D) 7x^10sqrt5

Answers

the equivalent expression is:

60*x^8

Which is option B.

How to get the equivalent expression?

Here we start with:

4*x^2*√(5x^4)*3*√(5x^8)

Remember that square roots are distributive, then we can just write:

(4*3)*(x^2)*(√(5x^4)*√(5x^8))

12*x^2*√(25x^12)

Now, the square root can now be solved

12*x^2*√(25x^12) = 12*x^2*5*x^6

= (12*6)*(x^2*x^6)

Remember that in the right side, the exponents just add, then we get:

(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8

Then the equivalent expression is:

60*x^8

Which is option B.

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Solve for a in the proportion.

Answers

A = 42 because to get 1 to be equal to the 6 you must multiply it by 6, no 7 x 6 = 42

A sprinter on the track team ran the 100 meter dash and redcorded the time for each race. The race times (in seconds) were:

12.4 13.1 12.7 12.8 13.0 12.9 13.1 13.5

Answers

Answer:

What is the question please post the full question next time

Hi! I really suck at math so please help :)

Answers

Answer:

(-2,-4), (-1, -1), (0,2), (1,5)(2, 8)

Step-by-step explanation:

you plug x into the equation to get y

Answer:

-4, -1, 2, 5

Step-by-step explanation:

I used desmos to graph it

The area of a parallelogram is 42 square inches. The base of the parallelogram is 6 inches. What is the height of the parallelogram? EXPLAIN how you can use the formula for the area of a parallelogram to solve the problem.

Answers

Answer:

7

Step-by-step explanation:

to find an area of a parallelogram, you have to multiply the width by height. to do the opposite, simply divide 42 to 6 to get 7

A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, , where h is the height of the toy rocket in feet after t seconds. ⦁ What is the practical domain of the function? ⦁ What is the practical range of the function? ⦁ How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

Answers

Answer:

a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50

Step-by-step explanation:

a. What is the practical domain of the function?

Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.

b. What is the practical range of the function?

Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.

c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.

ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50

The slope between (250,120) and (300,90)

Answers

m = − 3/ 5  your welcome

Answer:I think it's -3/5

Step-by-step explanation:mhm

:((((((((((((((((((​

Answers

Answer:

132°

Step-by-step explanation:

Find the supplementary angle of 48°

To do this, subtract 48° from 180°

180 - 48 = 132°

Step-by-step explanation:

ABD = 180

[tex]180 - 48 = 132[/tex]

Chose 1 Answer:
A (1/3,2 5/6)
B (2/3,3 2/3)
C (-1/3,1 1/6)
D (-2/3,1/3)

Answers

Answer:

c

Step-by-step explanation:

bc ik

The cost of Kerri’s meal was $10. If she wants to leave a 15% tip, how much should she leave? Use the percent proportion to help you ( part/whole = percent/100).

Answers

10x.15=1.50 she would leave $11.50
Answer: $1.5
Explanation: 10*0.15=$1.5
I hope this helps! :)

simplify 5^-4/5^3
please help!! :)

Answers

Answer:

1/78125 or 0.0000128 or 5^-7

Step-by-step explanation:

Apply exponent rule: x^a/x^b = x^a-b

x^3 - 8x^2 + 9x - 5/ x-3

Answers

I got X-3 when u factor it

8(x+1)-7x ≥-3 help me find the solution

Answers

Answer:

x [tex]\geq[/tex] 11

Step-by-step explanation:

[tex]8\left(x+1\right)-7x[/tex]

[tex]8x+8-7x[/tex]

[tex]x+8[/tex]

Then..

[tex]x+8\ge \:-3[/tex]

Subtract 8 from both sides

[tex]x+8-8\ge \:-3-8[/tex]

Then, you got your awnser.

[tex]x\ge \:-11[/tex]

⚠️⚠️ HELP ME SO I CAN BE OFFICIALLY FINISHED ⚠️⚠️

Answers

Answer:

slope = -0.5

y-intercept = 5

Select the correct answer.
What is the simplest form of this expression?
(2x + 1)(x2 - 9x+11)
OA. 2x3 - 19x2 + 11x + 11
OB. 2x3 - 17x2 + 13x + 11
OC. 2x2 + 18x2 + 22x+11
OD
2x3 - 18x2 - 9x + 11

Answers

Answer:

2x^3-17x^2+13x+11

Step-by-step explanation:

Answer:

2x^3 -17 x^2 + 13 x + 11

Step-by-step explanation:

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