A survey showed that the average daily expenditure ( in rupees) of 24 household of a city were 215 , 248 , 225, 237, 227, 240, 238, 215, 214, 249, 236, 244, 221, 219, 232, 216, 242, 220, (230, 238, 228, 225, 211,221. What is the frequency of the class interval 225 – 230 (EXCLUDING 230)

Answer:

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law, "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."

[tex]F= ke[/tex]

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= [tex]\frac{15}{100}[/tex]= [tex]0.15m[/tex]

we can solve for the spring constant k

we also know that the force F = mg

assuming [tex]g=9.81m/s^{2}[/tex]

therefore

[tex]24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\[/tex]

We can use this value of k to solve for the mass that will cause an extension of  [tex]10cm= 0.1m[/tex]

[tex]x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg[/tex]

Answer:

Answer: upstream: 5.2= (x-y) 5

Downstream: 5.2= (x+y) 2.5

Step-by-step explanation:

The equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )

We can write the equations for upstream and downstream motion for time [t] seconds as -

Upstream - (Opposing motion)

5.2 = (x - y) t

Downstream - (Supporting motion)

5.2= (x + y) (t/2)

Therefore, the equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

To solve more questions on system of equations , visit the link below-

https://brainly.com/question/16308797

#SPJ2

Answer:

28

Step-by-step explanation:

x = 2 point questions, y = 3 point questions

x + y = 40

2x + 3y = 92

Solving this we get x = 28, y = 12 so the answer is 28.

Answer: 28

Step-by-step explanation:

Let x be the number of 2 mark questions

Let y be the number of 3 mark questions

x+y=40. ---------------(1)

2x+3y=92 ---------------(2)

Solve equation (1) for y

y=40−x

Substitute

y=40−x in equation (2)

2x+3(40−x)=92

2x+120−3x=92

2x−3x=92−120

−x=−28

x=28

Substitute

x=28 in equation (1)

28+y=40

y=40−28=12

Number of 2 mark questions

=28

Number of 3 mark questions

=12

Answer:

45 different outcomes

Step-by-step explanation:

There are 10+15+20 = 45 pens in the bag

Since he is pulling one pen,  and there are 45 different pens in the bag, there are 45 different outcomes

Answer:

45 fsfs

Step-by-step explanation:

i just took a test and got it right

Answer:

Option A

Step-by-step explanation:

We are given the inequality 4x + 6 [tex]\leq[/tex] 18;

[tex]4x + 6 \leq 18,\\4x \leq 12,\\\\x \leq 12 / 4,\\x \leq 3,\\\\Conclusion - Option A[/tex]

As you can tell, the second step was derived through the subtraction of 6 from either side of the inequality sign. 18 - 6 is 12, which resulted in the simplified inequality [tex]4x \leq 12[/tex]. Dividing 4 on either side, we derived [tex]x \leq 3[/tex], which is Option A

Pls mark brainliest,thankyou.

Answer:

b

Step-by-step explanation:

_______________________________

Hey!!

Solution,

Radius(r)= 6 mm

Circumference of circle=?

Now,

Circumference of circle=2 pie r

=2*pi*6

=12 pie

So the answer is 12 pie.

Hope it helps...

Good luck on your assignment

______________________________

The circumference of the circle is 12[tex]\pi[/tex] mm.

The boundary of a circle, i.e. the length of the full arc of a circle is called circumference of circle.

Let, radius of the circle be r

Then, Circumference of circle = [tex]2\pi r[/tex] unit

Given, The radius is 6 mm

∴ Circumference of the circle = [tex]2\pi r[/tex]

                                                  = ([tex]2\pi[/tex]× 6) mm

                                                  = 12[tex]\pi[/tex] mm

Hence, Circumference of the circle = 12[tex]\pi[/tex] mm

Learn more about circumference of circle here :

https://brainly.com/question/164719

#SPJ2

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:

Answer:

flank right-angled triangle right triangle

Step-by-step explanation:

Answer & Step-by-step explanation:

In the problem, we are given an equation. h(t) = -20 + 11t

In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.

t = 11

h(11) = -20 + 11(11)

h(11) = -20 + 121

h(11) = 101

So, h(11) is equal to 101

Answer:

101

Step-by-step explanation:

h(t)= -20+11t

h(11)= -20+11(11)

h(11)= -20+121

h(11) = 101

Answer: THE ANSWER IS -1/36

Step by step: Find the LCD then combine

The answer is : -1/36

You forgot the 1 for 18 in the last question lol

Hope this helps, pls mark as brainliest :))))

Step-by-step explanation:

Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest

Answer:

14

Step-by-step explanation:

look at the other answer as the person is taking a very long time to write it

Answer: radius = 14.01 m

Step-by-step explanation:

Circumference = 2πr

88 = 2πr

r = 88/2π = 14.01m

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }[/tex]

[tex]=1[/tex]

Answer:

x = -2,-3

Step-by-step explanation:

Solve the equation by factorizing.

To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.

This one is obvious, but for others you may use trial and error.

After finding the 2 numbers: 2 and 3.

Present them in this format:

(x+3) ( x+2) = 0

You may check if this is correct using the distribution method.

After this,

you have to solve it individually.

for example:

x+3 = 0

x = -3

x+2 = 0

x = -2.

Thus, x has 2 different values: -3, -2.

You may check this by substituting x with either of these values.

Please mark brainiest

Answer:

Using point (0,2) and gradient 1/3

Equation of the line is

y - 2 = 1/3(x -0)

Multiply through by 3

You'll get

3y - 6 = x

3y = x - 6 or y = 1/3x - 2

Hope this helps.

Answer:

3.14

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^2[/tex], where r is the radius. In this circle, the area would therefore be [tex]3.14\cdot 2^2=12.56[/tex]. However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!

Answer:

π

Step-by-step explanation:

calculate the the full circle: A = π*[tex]r^{2}[/tex] = π*[tex]2^{2}[/tex] = π*4 (the area of the full circle)

you've got 1/4 or the circle according to the picture, so divide the area of the full circle with 4:

(π*4)/4 = π

Answer:

the answer is 183.77

Step-by-step explanation:

if you know the price was 7.99 for each one he bought you work multiply 23 by 7.99 and you get 183.77.

a

because it has the highest values from all the options from all the above

414.48 square feet is needed to make 3 dozen of the covers.

To find the circumference, you multiply the 4 by π, and π is 3.14, and you get  12.56.

The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.

Step 3: Add them up.

125.6 + 12.56 is 138.16

138.16 multiplied by 36 is 4973.76 square inches.

12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.

Answer:

12

Step-by-step explanation:

A compound interest equation is represented as A = P(1 + r/n)^nt, where n=the number of times per year the interest is compounded. In the given equation, n=12.

Answer:

12

Step-by-step explanation:

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

y= 1/2x + 2.5

Step-by-step explanation:

We already have the point-slope form of the line.

Convert into Slope Intercept form:

y-3=1/2(x-1)

[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]

Answer:

It is 0

Step-by-step explanation:

Answer: 5/9

Step-by-step explanation:

Because you are looking for the ratio of BOYS to GIRLS you put those numbers in that order so it would be 10boys/18girls simplified that is 5/9

Answer:

Haaave youuu ever seen a troll

digging a hole

down by the bay?

Step-by-step explanation:

May I have brainliest please? :)

Answer & Step-by-step explanation:

Since you looking for the width and you are given the length and the area, then you will divide the area by the length.

(10x² + 5x) ÷ 5x

You can also turn this into a fraction so you can know what you are dividing.

[tex]\frac{10x^2+5x}{5x}[/tex]

So, your width is 2x + 1

Answer:

2x + 1 is the width.

Step-by-step explanation:

Length times width equals the area, which means that the area divided by the length equals the width. In this case, 10x^2 + 5x divided by 5x equals the width.

10x^2 / 5x equals 2x.

5x / 5x equals 1.

The width equals 2x + 1.

Answer: 130.66

Step-by-step explanation:

Answer:

$31.88

Step-by-step explanation:

on edge 2020

Answer:

AB = 30 inch

BC = 14 inch or BC = 50 inch

Step-by-step explanation:

Make a drawing. Please see the attachment. All measurements are in inches.

Consider the two triangles:

∆ ABC and ∆ AB'C

1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.

AN is the height and there fore is perpendicular to NC and thus also to BC.

In ∆ ANC

AN² + NC² = AC²

We want to calculate NC, so:

NC² = AC² - AN²

Given: AC = 40 and AN = 24

NC² = 40² + 24²

NC² = 1600 + 576

NC² = 1024

NC = +-SQRT(1024)

NC = 32

NC = NB + BC

We want to know BC

BC = NC - NB

Given: NB = BN = 18 and we just calculated NC to be 32 so...

BC = 32 - 18

BC = 14

2. Looking only at ∆ AB'C

AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.

AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.

In ∆ AB'N

c² = a² + b²

AB'² = AN² + B'N²

Given: AN = 24 and B'N = 18

AB'² = 24² + 18²

AB'² = 576 + 324

AB'² = 900

AB' = +-SQRT(900)

AB' = 30

In ∆ AB'C

with AB' = 30 and AC = 40

c² = a² + b²

B'C² = AB'² + AC²

B'C² = 30² + 40²

B'C² = 900 + 1600

B'C² = 2500

B'C = +-SQRT(2500)

B'C = 50

Now we have our answers.

Extra:

Please look at the picture again, but now concentrate on the indicated 50 and - 50...

I am trying to explain something about the meaning of the outcome of mathematical calculations like:

c² = 2500

c = +- SQRT(2500)

c = 50 or c = - 50

Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...

1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?

2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).

It is important to understand that a negative sign means the 180° in the direction of the other way.

In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -

minus value of your calculated outcome.

Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.

I hope this has made some sense to you :-).

Answer:

see below

Step-by-step explanation:

The smallest size has area b^2

A = s^2

A= b^2 = 24^2 =576 m^2

The middle size has area a^2

1024 = a^2

Take the square root of each side

sqrt(1024) =sqrt(a^2)

32 = a

The side length is 32 m

To find the side length of the largest pasture use the pythagorean theorem

a^2 + b^2 = c^2

32^2 + 24^2= c^2

1024+576 = c^2

1600 = c^2

Taking the square root of each side

sqrt(1600) = sqrt(c^2)

40 = c

The side length is 40 m

The area is 1600 m^2

It is fair since the areas are the same.1600 m^2 = 1600 m^2