According to survey records, 75.4% of women aged 20-24 have never been married. In a random sample of 25 young women aged 20-24, find the mean, variance and standard deviation for the number who are or who have been married.

Answers

Answer 1

Answer:

mean = 6.15

variance = 4.637

standard deviation = 2.15

Step-by-step explanation:

It is given that 75.4% of women aged 20-24 have never been married.

We are interested in finding the mean, variance and standard deviation for the number who are or who have been married.

So the percentile of women who have been married is given by

[tex]p = 1 - 0.754 \\\\ p = 0.246 \\\\q = 1 - p \\\\q = 1 - 0.246 \\\\q = 0.754[/tex]

The mean is given by

[tex]mean = n\times p[/tex]

Where n is the sample size

[tex]mean = 25\times 0.246 \\\\mean = 6.15[/tex]

Therefore, the mean is 6.15

The variance is given by

[tex]variance = n \times p \times q \\\\variance = 25 \times 0.246 \times 0.754 \\\\variance = 4.637[/tex]

Therefore, the variance is 4.637

The standard deviation is given by

[tex]standard \: deviation = \sqrt{variance} \\\\standard \: deviation = \sqrt{4.637} \\\\standard \: deviation = 2.15[/tex]

Therefore, the standard deviation is 2.15


Related Questions

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
(I need this to be an answer like X=3+\_ square root 23)

Answers

Answer:

(4+√142)/(3) or x=(4-√142) /3

Step-by-step explanation:

(4+√142)/(3) or x=4-√142 /3

If 153 = 2 (z +z)n, then what is the value of 4nz + 20

Answers

Answer:

The value of 4 n z + 20 = 173

Step-by-step explanation:

Explanation:-

Given  153 = 2 (z +z )n

          2 ( z + z) n = 153

         2 ( 2 z ) n = 153

          4 z n = 153

Adding '20' on both sides , we get

         4 z n + 20 = 153 + 20

         4 z n + 20 = 173

Final answer:-

The value of 4 n z + 20 = 173

Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms

Answers

Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2

Please help with this question

Answers

Answer:

  the SSS similarity theorem

Step-by-step explanation:

The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.

The ratios of corresponding sides are the same, so the applicable theorem is ...

  the SSS similarity theorem

__

3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.

_____

Additional comment

You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.

Karla empleo 6kg de manzanas para elaborar 90 bocadillos mas ¿Cuantos Kilogramos de manzanas necesitara? ¿ cuantos bocadillos podria hacer con 12kg de manzanas?

Answers

Answer:

12kg apple will make 189 more sandwiches

Step-by-step explanation:

Here, we are told that 6kg of apple was used to make 90 more sandwiches and we need to know the number of sandwiches that can be made from 12kg of apples.

Now;

6kg made 90 sandwiches

12kg will make x sandwiches

To get x, we simply cross multiply

6 * x = 12 * 90

x = (12 * 90)/6

x = 2 * 90

x = 180 sandwiches

which number is one less than a cube number?
20
22
24
26

Answers

26 because 27 is a cubed number and 21,23 and 25 are not

The number less than a cube is 26.

What is cube of a number?

The cube of a number is obtained by multiplying the number three times.

Determine the cube of 3.

3·3·3=27

So, the cube of 3 is 27.

From the given options it can be observed that the number 26 is 1 less than 27.

Thus, the number one less than cube is 26.

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Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages?

Answers

Answer:

Kerry = 2/3 * 420 = 280

David = 3/4 * 420 = 315

David read more pages compared to Kerry.

David read 35 more pages than Kerry.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Chemistry book contains 420 pages.

Kerry read 2/3 of her chemistry book,

= 2/3 x 420

= 280 pages.

David read 3/4 of her chemistry book,

= 3/4 x 420

= 315 pages.

315 - 280 = 35 pages.

Therefore, David read more pages.

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WILL GIVE BRIANLIEST FOR THE FIRST ANSWER! The solution to an equation is [tex]n=-5[/tex]. The equation has parentheses on at least one side of the equation and has variables on both sides of the equation. What could the equation be?

Answers

Answer:

1*2(3-2n) = 2(n-2)

Thanks for giving question. I am working my way up to brainliest and Master Answerer

Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.

PLEASE HURRY I REALLY NEED HELP WILL GIVE BRAINLIEST

Answers

Answer: Krista put 0.40 in the first equation meant for the number of stamps

Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.

The system of equations should have been,

x + y = 45 ----------(1)

0.40x + 0.55y = 18.75 ----------(2)

From equation (1), let x be the subject of the equation and hence x = 45 - y

Substitute for the value of x into equation (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

When y has been calculated as 5, substitute for the value of y into equation (1)

x + y = 45

x + 5 = 45

x = 45 - 5

x = 40

The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.

This answer could not have been derived due to the mistake Krista committed when writing the equations.

Answer:

a

Step-by-step explanation:


= 80° and m
= 40°, then m
<1 =
VU
ST
60
20
40

Answers

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°

By theorem of angle between intersecting secants,

"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."

[tex](m\angle 1)=\frac{1}{2}(m\widehat{VU}-m\widehat{ST})[/tex]

          [tex]=\frac{1}{2}(80-40)[/tex]

          = 20°

Therefore, Option (2) will be the answer.

Calculate the surface area of each polyhedron. Pls!! Show work

Answers

Answer:

Step-by-step explanation:

Triangle: bh/2 = 8*9/2 = 36 cm²

bottom square: 8*8 = 64 cm²

total surface area: 36*4 + 64 = 208 cm²

write 47 and 1000 as a decimal

Answers

47 is equal to .47 and 1000 is equal to 1

have a great day ♡

Answer:

47=4.7

1000= 100.0

Please do quickly Thank you

Answers

Answer:

21x+4

Step-by-step explanation:

To find the perimeter you have to add up all the sides

The points (-3, 5) and (3,5) are two verticles of a square. list all other order pairs that could be the other two verticles of the square.

Answers

Answer:

((-3,-1),(3,-1)),((-3,11),(3,11))

Step-by-step explanation:

The distance between the two vertices is 6

So, add 6 and minus 6 to the y coordinates.

Answer:

( - 3, - 1 ), ( 3, - 1 ) / ( - 3, 11 ), ( 3, 11 )

Step-by-step explanation:

Let us first consider the distance between points ( - 3, 5 ) and ( 3, 5 );

[tex]( - 3, 5 ), ( 3, 5 )\\Distance = 3 + 3 = 6 units[/tex]

If these are points that are vertices of the square, it should be that the other 2 points are 6 units farther from these points;

[tex]Distance = 6 units,\\( - 3, 5 ) - ( - 3, - 1 )\\( 3, 5 ) - ( 3, - 1 )[/tex]

[tex]Distance = 6 units,\\( -3, 5 ) - ( - 3, 11 )\\( 3, 5 ) - ( 3, 11 )[/tex]

Let us confirm ( -3, - 1 ) and ( 3, - 1 ) are 6 units apart, respectively ( -3, 11 ) and ( 3, 11 ) to say they are the other two vertices;

[tex]( - 3, - 1 ), ( 3, - 1 )\\Distance = 3 + 3 = 6 units[/tex]

[tex]( -3, 11 ), ( 3, 11 )\\Distance = 3 + 3 = 6 units[/tex]

Thus, the possible vertices are ( - 3, - 1 ) and ( 3, - 1 ) or ( - 3, 11 ) and ( 3, 11 )

acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab​

Answers

Answer:

Step-by-step explanation:

Share 35 sweets in the ratio 4:3

Answers

number sweet is 35

we divided ratio  =4x:3x

total  = 4x+3x

7x= 35

= 35/7

x= 5

1 st part will be 4x = 4*5= 20 sweets.

2 nd part will be 3x = 3*5= 15sweets

PLZ HLP MEEEEEEEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

The total number of students is 15+12= 27

The ratio of girls to total students is 12/27 = 4/9

Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Which of the following are the coordinates of the OTHER two vertices of the square?

Answers

Answer:

(4 , 3 ) and (-3 , -4)

Step-by-step explanation:

Other two vertices will be in 1st quadrant and 3 rd quadrant

Answer: (4 , 3 ) and (-3 , -4)

Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant

The estimated probability of a football player scoring a touchdown during a particular game is 39%. Of several simulations of the foot ball player playing two games were performed, in what percentage of the simulations would the football player be most likely to get a touchdown in each of the two games?

Answers

Answer:

The percentage of the simulations of two games that the football player would most likely get a touchdown in each of the two games = 15.21%

Step-by-step explanation:

The probability of scoring a touchdown in one game for the football player = 39% = 0.39

Probability of scoring a touchdown in each of the two consecutive games = (Probability of scoring a touchdown in the first game) × (Probability of scoring a touchdown in the second game)

Since the probability of scoring a touchdown in each game the football player plays in is independent of one another.

Probability of scoring a touchdown in the first game = Probability of scoring a touchdown in the second game = 0.39

Probability of scoring a touchdown in each of the two consecutive games = 0.39 × 0.39 = 0.1521

If 100 simulations of the two games are made, the player scores in each of the two games in 15.21 of them, hence, the percentage of the simulations that the football player would most likely get a touchdown in each of the two games = 15.21%

Hope this Helps!!

What is X...……………………….

Answers

Answer:

x=6

Step-by-step explanation:

You can reach this answer by doing the equation

4+(x-3) = 2x-5

doing the math you will get that 6 is your x.

Hope this helps :)

can you please help me with functions

Answers

Option D is the right answer

(-1,4),(1,7),(2,10)

It is a function because input X values have its unique output y values.

hope it helps

Good luck on your assignment

UN RECOLECTOR COMPLETA CUATRO CAJAS DE CAFE CADA CAJA LE CAVE 25/2 DE KILOGRAMOS DE CAFE SI SE RECOJE DIARIAMENTE CUATRO CAJAS¿CUANTOS KILOGRAMOS DE CAFE RECOJE EN TOTAL?

Answers

Answer:

El recolector recoge un total diario de 50 kilogramos.

Step-by-step explanation:

(The following problem is written in Spanish and for such reason explanation will be held in the same language)

La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:

[tex]m = n \cdot m_{unit}[/tex]

[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]

[tex]m = 50\,kg[/tex]

El recolector recoge un total diario de 50 kilogramos.

Simplify the following fraction: 400/4400

Answers

Answer: 1/11 is the simplified form...

Hope this helps, stay safe :D

Answer:

1/11

Step-by-step explanation:

divide top and bottom by 100 = 4/44

divide top and bottom by 4 = 1/11

make r the subject of the formula t=r/r-3

Answers

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B

Answers

Answer: B = (1,-9)

Step-by-step explanation:

[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]

Answer:

the answer is b

Step-by-step explanation:

Pls help with this (im not trying to be annoying)

Answers

C(8)=29 you have to plug in 8 for n in the equation and solve. Hope this helps!!!

someone help plz :(((( !!!

Answers

Answer: 9/4a^2|b^3|c^4

Step-by-step explanation:

81/16

Square root(81) = 9

Square root(16) = 4

9/4

Since 4 is the index of the radical, all of the exponents divide by 4

(index 4)a^8 = a^2

(index 4)b^12 = b^3

(index 4)c^16 = c^4

Now put the variables together to get the answer:

9/4a^2|b^3|c^4

The length of a rectangle is 11 less than 9 times the width. The
perimeter of the rectangle is 18 inches.

Answers

Answer:

Length = 7   Width = 2

Step-by-step explanation:

L = Length

W = Width

L=9w-11

2L+2W=18

2(9W-11) + 2W = 18

18W - 22 +2W = 18

20W -22 = 18

20W = 40

W = 2

L = 9(2)-11

L=18-11

L=7

The length and width of the rectangle is equals to 7inches and 2inches respectively.

What is rectangle?

" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."

Formula used

Perimeter of the rectangle = 2 (length + width)

According to the question,

Given,

Perimeter of the rectangle = 18inches

'x' represents the width of the rectangle

As per the condition given,

Length of the rectangle = [tex]9x -11[/tex]

Substitute the value in the formula we get,

[tex]2(9x -11 +x)=18[/tex]

⇒[tex](10x-11)=\frac{18}{2}[/tex]

⇒[tex]10x= 9+11[/tex]

⇒[tex]x= 2inches[/tex]

Length of the rectangle = [tex]9(2)-11[/tex]

                                        = [tex]18-11[/tex]

                                        = [tex]7inches[/tex]

Hence,  length and width of the rectangle is equals to 7inches and 2inches respectively.

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express in the form 1:n 5:15

Answers

Answer: n = 3

Step-by-step explanation:

You could treat these two ratios as fractions

[tex]\frac{1}{n} =\frac{5}{15}[/tex]

There are multiple ways in which you can do this, but Im going to teach you the most reliable way. Do cross multiplication by multiplying each side by the others denominators. 15 x 1 and n x 5 to get:

5n = 15

Divide each side by 5 to get n = 3

Solve the system of equations. –6x + y = –21 2x − 1 3 y = 7 What is the solution to the system of equations? (3, 3) (2, –9) infinitely many solutions no solutions

Answers

Answer:

[tex]y = - 15 \\ x = - 94[/tex]

Step-by-step explanation:

it's not both of dem

The solution to the system of equations is x= −133/ 40 and y= −21/ 20

What is a system of equations?

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.

6x+ y= -21 is equation (1)

2x - 13y= 7 is equation (2)

Solve 6x+y=−21 for y:

6x+y=−21

6x+y+−6x=−21+−6x

y=−6x−21

Substitute −6x−21 for y in 2x−13y=7:

2x−13y=7

2x−13(−6x−21)=7

80x+273=7

Now Simplify both sides of the equation;

80x+273+−273=7+−273

Add -273 to both sides

80x=−266

x= −133/ 40

y=−6x−21

y=−6( −133 /40 )−21

y= −21/ 20

Hence x= −133/ 40 and y= −21/ 20

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