In a class of 25 students
the mean height of the 15 girls is 1.65 metres
the mean height of all 25 students is 1.682 metres.
Work out the mean height of the boys.

Answers

Answer 1
If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65=24.75m.

If the mean height of 10 boys is x metres, the sum of the boys’ heights is 10x m.

The sum of all 25 srudents’ heights is 25×1.682=42.05m.

Therefore, 24.75+10x=42.05, x=(42.05-24.75)/10=1.73m, the mean height of the boys.
Answer 2

The mean height of the boys will be 1.73m.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given that:-

In a class of 25 students, the mean height of the 15 girls is 1.65 meters the mean height of all 25 students is 1.682 meters.

If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65 = 24.75m.

If the mean height of 10 boys is x meters, the sum of the boys’ heights is 10x m. The sum of all 25 students’ heights is

25×1.682=42.05m.

The mean height of the boys.

24.75+10x=42.05,

x =(42.05-24.75)/10

x =1.73m,

Therefore the mean height of the boys will be 1.73m.

To know more about mean follow

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Related Questions

What is the value of n

Answers

Answer:

60

Step-by-step explanation:

60 would be the answer

Manuel y Sara recorren cierta distancia, y los tiempos que emplean están en la razón 21 / 15 . La velocidad de Manuel es de 56km/h. ¿Cuál es la velocidad de Sara?

Answers

Answer:

The speed of Sara is 78.4 km/h.

Step- by-step explanation:

Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?

Let the distance is d.

speed of Manuel = 56 km/h

time taken by Manuel = 21 t

time taken by Sara =  15 t

Let the speed of Sara is v.

Distance = speed x time

For Manuel:

d = 56 x 21 t ..... (1)

For Sara:

d = v x 15 t ..... (2)

From (1) and (2)

56 x 21 t = v x 15 t

v = 78.4 km/h

Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.

Answers

Answer:

The midpoint of the data when it is arranged in order.

Step-by-step explanation:

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the median of the following set of numbers is 5

1, 2, 5, 10, 20

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

What is the solution to the linear equation?

d – 10 – 2d + 7 = 8 + d – 10 – 3d

(need answer asap)

Answers

Answer:

-10 -2d+7=8-10-3d

-2d + 7 =8 -3d

-2d + 7 =3d = 8

-2d + 3d = 8-7

d=8-7

d=1

Answer:

[tex]d = 1[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]

[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]

[tex](-d) + (-3) = (-2) + (-2d)[/tex]

Step 2:  Add 2d to both sides

[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]

[tex]d - 3 = -2[/tex]

Step 3:  Add 3 to both sides

[tex]d - 3 + 3 = -2 + 3[/tex]

[tex]d = 1[/tex]

Answer:  [tex]d = 1[/tex]

What sum of money amount to Rs 6000 in two years at the rate of 10% per annum find it​

Answers

Answer: Rs 5000 sum of money amount to Rs 6000 in two years at the rate of 10% per annum.​

Step-by-step explanation:

Amount = Rs 6000

T = 2 year

R = 10%

So

I = A-P

so

I = PTR/100

or, A-P = (P*2*10)/100

or, 6000-P = 20P/100

or, 600000-100P = 20P

or, 600000 = 120P

or, P = 600000/120

so, P = Rs 5000

Please help me multiply this

Answers

Answer:

(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)

=3(x-4y)÷(x-8y)

Solve for b.
- 3b-5> - 8 or b - 4 < 0

Answers

Answer:

b<4

Step-by-step explanation:

- 3b-5> - 8 or b - 4 < 0

Solve the first inequality

- 3b-5> - 8

Add 5 to each side

- 3b-5+5> - 8 +5

-3b> -3

Divide by 3, flipping the inequality

-3b/-3 < -3/-3

b <1

Then solve the second inequality

b-4<0

Add 4 to each side

b<4

Put them back together

b<1 or <4

Merge them since they overlap

b<4

Can someone help me with this math problem please?

Answers

First u have to find the square root for the number and then answer all of the root question then u have to find the angels

Answer:

C

Step-by-step explanation:

g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.

f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.

The answer is c

A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent

Answers

Solution :

Colored marble            Prize

     Red ----  10               20

    Blue --- 38                 10

   Green --- 26               5

P(red)  =  10/74  =  5/37

P(blue)  =  38/74  =  19/37

P( green)  = 26/74  =  13/37

Therefore,

 X      →     Red          Blue      Green

P(X)           5/37        19/37      13/37

The expected values are :

[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]

= -4.189

Thus it is not profitable to play the game.

y-3=2(x-3) y+5=2(x+1)
choose 1 answer
the same line
distinct parallel lines
Perpendicular lines
intersecting, but not perpendicular lines

Answers

Answer:

The same lines (answer)

Step-by-step explanation:

The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,

y-3 = 2(x-3) .......(1)        ;   y + 5 = 2(x+1) ...........(2)    

y = 2x - 6 + 3                ;  y = 2x + 2 - 5    

y = 2x -3                       ;  y = 2x - 3

Comparing with slope intercept form we have,

m1 = 2                           ; m2 = 2

c1 = -3                           ; c2 = -3

If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)

What is the answer for y=?

Answers

Answer:

hwukebhejsnsknbjbbjkkkkkkkk

Which graph represents the following piecewise defined function? g(x) = 1/2 x +3 , x< -2 g(x) = 2, -2<_ x <_3 g(x) = 2x-3 , x>3

Answers

In this question, a piece-wise function is asked to be graphed.

Piece-wise function:

A piece-wise function is a function that has different definitions, depending on the input.

In this question, the function has three different definitions:

When x is less than -2, the definition is:

[tex]g(x) = \frac{x}{2} + 3[/tex]

When x is between -2 and 3, inclusive, the function is:

[tex]g(x) = 2[/tex]

When x is greater than 3, the definition is:

[tex]g(x) = 2x - 3[/tex]

The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.

For another example of a piece-wise graphic, you can check https://brainly.com/question/24324639.

Answer:

D

Step-by-step explanation:

edge!

xyz-4 xy+5 from 5 from 5xyz+xy+3yz_4​

Answers

Answer

Page No 7.13:

Question 1:

Add the following:

(i) 3x and 7x

(ii) −5xy and 9xy

ANSWER:

We have

(i) 3x + 7x = (3 + 7)x = 10x

(ii) -5xy + 9xy = ( -5 + 9)xy = 4xy

if a−b=5 and ab=75 find the value of a2+b2​

Answers

Please find attached photograph for your answer.

Areas of rectangles with the same perimeter

Answers

Answer:

2(l+b ) is the answer

Step-by-step explanation:

ok mark me as markliest

find the smallest number by which 252 must be multiplied to get a perfect square . also find the square root of the perfect square so obtained.​

Answers

We shall proceed in hit and trial method

Find some nearest multiples of 252

252(2)=504252(3)=756252(4)=1008252(5)=1260252(6)=1512252(7)=1764

Yes last one is square of 42

So smallest no is 7

Solve x^2−4x−12=0 by completing the square. PLEASE HELP QUICK WILL GIVE BRAINLIEST

Answers

Answer:

The answer is B

Step-by-step explanation:

If u use calculator,u will get the ans as x¹=6 and x²= -2 but u have to change it to the opposite which means negatif to positive(-2=2) and positive to negative(6= -6).Hope u can understand...sorry,English isn't my first language

Answer:

x= 6 and x=-2

Step-by-step explanation:

find the two factors that when multiplied will get -12 and when summed up will get -4.

so -6 and 3

(xsquare-6) +(2x -12)=0

x(x-6)+2(x-6)=0

(x-6)=0 (x+2)=0

group like terms

x=6. x=-2

Negative 2 (x + 5) = negative 2 (x minus 2) + 5 What is the solution to Yuto's equation? –10 9 no solution infinitely many solutions

Answers

576gffgghuttgh
Vgfgvcv

The fitness center held a weight loss competition in which 128 people participated. The amount of weight loss was normally distributed with a mean of 18 pounds and a standard deviation of 5.4 pounds. Approximately how many people lost at least 15 pounds?

Answers

Answer:

37

Step-by-step explanation:

Given :

Sample size, n = 128

Mean, μ = 18

Standard deviation, σ = 5.4

Number of people who lost atleast 15 pounds :

The Zscore = (x - μ) / (σ)

Zscore = (15 - 18) / 5.4

Zscore = - 3 / 5.4

Zscore = - 0.5555

P(Z < - 0.555) = 0.28945

Number of people who lost atleast 15 pounds :

0.28945 * 128 = 37.0496

= 37 people

Line AB contains points A(4, 5) and B(9, 7). What is the slope of ?

Answers

Answer:

2/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7 -5)/(9 - 4)

   = 2/5

See the attached photo for answers.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

I need answer LOL :(

Answers

.7 i think since it takes up most of the area

Which expression represents the number of apples Johnny has?

Johnny picks 14 apples and gives some to his friends.

Answers

Answer:

Step-by-step explanation:

Let the number of apples given to his friends = x

To represent the number of apples Johnny has, subtract the apples given to his friends from 14

Number of apples with Johnny = 14 - x

i need helpp plzzz!!!!!!!!!!!!!!!!

Answers

Answer:

314.159265

Step-by-step explanation:

Area = pi(r)^2

Since radius isn’t identified diameter must be divided in half

radius = 10

Area = pi(10)^2

Multiply 10 x 10

10 x 10 = 100

Area = pi(100)

Multiply 100 by pi

pi x 100 = 314.159265

using the inverse trig functions, find the measure of angle X to the nearest degree

1. 64°
2. 16°
3. 90°
4. 74°​

Answers

Answer:

Option 4.

Step-by-step explanation:

Tan(X)=perpendicular/base

Tan(X)=48/14

X=arctan(48/14)=74

7x+8/2 = 9x+1
Give your answer as a fraction in its simplest form

Answers

Answer:

3/2

Step-by-step explanation:

the LCM is 2Thanks Hope It Help

A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?

Answers

Answer:

3/40 cup

Step-by-step explanation:

3 1/3 =10/3

10/3 to 1 is 1/4 to x

i then proceeded to use the butterfly method to find the answer

Use the order of operations to simplify this expression. Express your answer in simplest form.

1/2+2/3÷ 5/9​

Answers

Answer:

1/4/3÷5/9

1/4/3÷9/5

1/4/3/5

Solve for x. Round to the nearest tenth.

Answers

Answer:

D. 14.1

Step-by-step explanation:

Use sin, opposite over hypotenuse.

sin67 = 13/X

solve for X

Can someone help me with this math homework please!

Answers

Answer:

- 2 / 7

Step-by-step explanation:

Let,

x1 = 7

x2 = 14

y1 = 2

y2 = 0

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 0 - 2 ) / ( 14 - 7 )

= - 2 / 7

[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{(4 - 2)}{(0 - 7)} \\ = \frac{2}{ - 7} \\ \\ so \: the \: slope \: is \: \frac{2}{ - 7}.[/tex]

This is the answer.

Hope it helps!!

find the coordinates of the points which divide the join X(-1,7) and Y(4,-3) in the ratio of 7:2.​

Answers

Answer:

(26/9 , -7/9)

Step-by-step explanation:

Here,

let the points be

X(-1,7) = (x1, y1)

Y(4,-3) = (x2,y2)

and let the ratio be...

m:n = 7:2

and.. let the point that divides the line be

P(x,y)

now using the section formula for internal division..

P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )

= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )

= ( 26/9 , -7/9 )

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