1. Length and breadth of a rectangular table-top are 36 cm and 24 cm respectively. Find its perimeter.​

Answers

Answer 1

Answer:

120 cm.

Step-by-step explanation:

The perimeter of a rectangle is found by adding up the length of all four sides. In this case, the length is 36 cm and the breadth is 24 cm. Therefore, the perimeter of the rectangular table-top is

2 (length + breadth) = 2 (36 + 24) = 2 × 60 = 120 cm.

Answer 2
perimeter is 30cm
36-24=12 12/2=6
24+6=30

Related Questions

Simplify the expression please!

Answers

Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .

What is a mathematical expression?

A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.

What do you mean by law of indices?

The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:

a^m * a^n = a^(m+n) (product of powers)(a^m)^n = a^(m*n) (power of a power)a^m / a^n = a^(m-n) (quotient of powers)(a^m)^(-n) = a^(-m*n) (power of a reciprocal)

These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.

[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]

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What is the value of 3 in tan?

Answers

The value of tan 3° is 0.0524.

tangent is the trigonometric ratio.

we can find out the value of tangent by taking perpendicular of the triangle divided by base of the triangle.

tan Q = perpendicular of the triangle  /base of the triangle.

sine theta divided by cos theta gives the value of tan theta.

tan Q = sin Q/ cos Q.

some formula of the tan Q are as follows,

1- tan Q = sin Q/cos Q

2- tan Q= 1 /cot Q

3-tan^2 Q =sec^2 Q -1

4- tan(90 - Q)=cot Q

5- tan (Q+π) = tan Q

6- tan (π-Q) = -tan Q

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I have no clue about this.
Help!

Answers

Answer: 294 feet^2

Step-by-step explanation:

Find the volume of the cube.

Find the cube root of the volume.

Plug this answer into the formula for finding the surface area of a cube.

(area = 6 · s2)

Answer:

294cm[tex]^{2}[/tex]

Step-by-step explanation:

A cube has 6 faces

To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).

To find out the total surface area of the cube, use this equation to help you:

AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)

so in other words...

AREA=6×7[tex]^{2}[/tex]

AREA= 294cm[tex]^{2}[/tex]

hope this helped:)

What are the 3 steps for solving a quadratic equation?

Answers

Determine what a, b, and c are worth. the quadratic formula in writing. After that, enter the values for a, b, and c. Simplify.

what is quadratic equation ?

A quadratic polynomial in a single variable is represented by the expression x ax2+bx+c=0, which is a quadratic equation. a 0. Since it is a second order polynomial, the Fundamental Theorem of Algebra guarantees that it has at least one solution. Simple or difficult solutions are both possible. The term "quadratic equation" refers to an equation that is quadratic. It must square at least one word, according to this indication. One of the common solutions for quadratic equations is the formula "ax2 + bx + c = 0." where the variables "X" are undefined and are numerical coefficients or constants a, b, and c.

given

steps are

Find out what a, b, and c are worth.

Quadratic formula: write it down.

Add the values of a, b, and c after that. Simplify.

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(i) change 234mm into m
(ii) change 876m^2 into square cm

Answers

Answer: (i) 0.234m

(ii) 8760000cm^2

Step-by-step explanation:

234÷1000=0.2234m

876x10^4=8760000cm^

The domain of y = √√√x-5-1 is
DONE
3 of 8
P
10
1000
098
7
6
5
4
3
12
y
2
19
Ð
6
8x

Answers

The function domain is X≥5  Or in interval notation [5, ∞)

What is Domain definition?The domain of a function is the set of input or argument values for which the function is real and definedThe domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limitedIn mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the functionFind non-negative values for radicals x≥5solve x-5≥0:x≥5 function domain is X≥5  Or in interval notation [5, ∞)

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What is the measure of ∠ A if it is complementary to ∠ B that has a measure of 55?

Answers

For the given complementary angles, the measure of angle  A is found to be 45°.

Define the term complementary angles?When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are referred to as supplementary angles.When two angles sum up to 90 degrees, they are complementary (a Right Angle). They don't even have to be close to one another for the total to be 90 degrees. Examples: The complimentary angles of 40° and 50°.

For the stated question-

Angle A is complementary to Angles B.

So,

Angle A  + Angles B = 90°

Angle A  + 55° = 90°

Angle A = 90° - 55°

Angle A = 45°

Thus, the measure of angle  A is found to be 45°.

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The lengths of the four sides of a quadrilateral (in centimeters) are consecutive even integers. If the perimeter is 132 centimeters, find the value of the shortest of the four side lengths.

Answers

The value of the shortest of the four side lengths of the quadrilateral is 30 cm

What is the length of the shortest side of the quadrilateral?

The perimeter of a quadrilateral is the sum of all the sides.

Perimeter of the Quadrilateral = 132 centimeters

Let

The shortest side = x

Since, the sides are consecutive even integers;

Second side = (x + 2)

Third side = (x + 4)

Fourth side = (x + 6)

Perimeter of the Quadrilateral = shortest side + Second side + Third side + Fourth side

132 = x + (x + 2) + (x + 4) + (x + 6)

132 = x + x + 2 + x + 4 + x + 6

132 = 4x + 12

132 - 12 = 4x

120 = 4x

divide both sides by 4

x = 120/4

x = 30 centimeters

Therefore,

Second side = (x + 2)

= 30 + 2

= 32 cm

Third side = (x + 4)

= 30 + 4

= 34 cm

Fourth side = (x + 6)

= 30 + 6

=36 cm

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What is the solution of 2x^2 3x 5 0?

Answers

Answer: The answer is 10x2

Step-by-step explanation:

I really need help on this. 22 points if you get it!!

Answers

The value of angle x in the triangle shown is 78°

How to solve an equation?

An equation is an expression that shows the relationship between two or more numbers.

A triangle is a polygon that has three sides and three angles. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, scalene, equilateral

In the large triangle let the missing angle by y, hence:

y + 87 + 36 = 180  (sum of angle in a triangle)

y = 57°

In the triangle containing the angle 45, let the missing angle be z, hence:

z + y + 45 = 180 (angle in a triangle)

z + 57 + 45 = 180

z = 78°

x = z (corresponding angles are equal)

x = 78°

The value of x is 78°

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A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman, sophomore, junior, and senior classes to complete the survey. This plan is an example of which type of sampling

Answers

This method is used when the population has distinct subgroups.

The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.

In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.

This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.

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6) The area of a triangle is A = bh-2. If the base (b) is H untis and the
height (h) Is 7 units, what is the area of the triangle?
I

Answers

Answer:

The area of a triangle can be calculated using the formula A = 1/2 * b * h, where b is the base and h is the height of the triangle. In this case, if the base of the triangle is H units and the height is 7 units, the area of the triangle would be A = 1/2 * H * 7 = 3.5 * H.

Step-by-step explanation:

What is math trying to do with me?
seriously
:^

Answers

Answer:

1.

Y would equal to 449 after plugging in 12 for x

2.

Y would equal to 239 after plugging 7 in for x

Step-by-step explanation:

We just have to plug in the values give too us and find what y equals.

1.

y=42(12)-55

y=504-55

y=449

2.

y=42x-55

we just have to plug in 7 for x.

y=42(7)-55

42*7=294

y=294-55

y=239


ESSENTIAL QUESTION CHECK-IN
17. Tell how you can determine whether a number is a solution of an
equation.
324 Unit 4

Answers

Answer:

Step-by-step explanation:

1. Substitute the number for the variable in the equation.

Is the area of an equilateral triangle is 196 root 3 cm square then each of its side is?

Answers

Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

What is triangle?

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

What is polygons ?

A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.

Here,

We must apply the mathematical procedure for computing an equilateral triangle's area.

An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.

[3/4 (a)2] cm2 is the equilateral triangle's surface area.

In light of the information mentioned in the query,

√3/4 × (a)² = 196√3

a²/4 = 196√3/√3

a²/4 = 196

a² = 196×4

a² = 784

a = √784

a = 28

In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

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A dishwasher at a restaurant washes 9 forks. These forks represent 4% of the forks owned by the restaurant. How many forks does the restaurant own?

Answers

Answer:

The restaurant owns 225 forks

Step-by-step explanation:

We can get our answer by displaying as an equality

9 to 4/100

x to 100/100

You can multiply 4 by 25 to get 100 so to get the amount of forks, multiply 9 by 25

9 * 25 = 225

Answer:

225 forks

Step-by-step explanation:

9 to 4/100

x to 100/100

Multiply 4 by 25 to get 100 so to get the number of forks, multiply 9 by 25!

9 * 25 = 225

Hope this helps.

Simplifying algebraic expressions

Answers

Answer:

-8

Step-by-step explanation:

7-6x+3x

You have to replace x for a 5.

7-6(5)+3(5)

After this you would multiple all of it.

7-30+15

Then add

7+15=22

-30+22=-8

Answer:

[tex] \sf \: 7 - 6x + 3x = - 8[/tex]

Step-by-step explanation:

Now we have to,

→ find the value of expression.

The expression is,

→ 7 - 6x + 3x

→ using (x = 5)

Let's solve the expression,

→ 7 - 6x + 3x

→ 7 - 6(5) + 3(5)

→ 7 - 30 + 15

→ 7 - 15

→ -8 => final answer

Hence, the answer is -8.

Random students from a high school were surveyed to determine if there was enough interest to start a Ukulele Club.

Identify the population:

A. Students of high schools across the country
B. Students of the high school
C. Citizens of the city
D. Every citizen of the country

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. Students of the high school

Step-by-step explanation:

It is high school because you just want to ask that area.

A sookeeper weighted an African elephant to be 9 x 10 (to the 3rd power) pounds, and an African lion to be 4 x 10 (to the second power) pounds. Hiw many times greater is the weight of the elephant than the weight of the lion

Answers

2.25×10 times greater is the weight of the elephant than the weight of the lion.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that a zookeeper  weighted an African elephant to be 9 x 10³ pounds.

An African lion to be 4 x 10² pounds

We need to find how many times greater is the weight of the elephant than the weight of the lion

Now, Divide the weighed an African elephant with weighed an African lion to determine times greater is the weight of the elephant than the weight of the lion,

N=9×10³/4×10²

=2.25×10

Hence, 2.25×10 times greater is the weight of the elephant than the weight of the lion.

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Practice 2-2 Using number sense to solve Equations (PLEASE HELP)

Answers

The solutions for all the equations would be

1. p = 30

2. h = 99

3. t = 31.4

4. r = 57

5. t = 5

6. w = 8

7. y = 9

8. p = 7

9. a = 13

10. w = 12

11. h = 24

12. g = 128

13. a = 21

14. y = 39

15. d = 16

16. w = 25

What is an equation?

An equation is a statement that asserts the equality of two expressions. The expressions on either side of the equation are separated by an equals sign (=), and they must have the same value for the equation to be true.

1) 30p = 900

  p = 900/30

  p = 30

2) h/9 = 11

   h = 9 * 11

   h = 99

3) t + 32.4 = 62

   t = 62 - 32.4

   t = 31.4

4) r - 17 = 40

   r = 40 + 17

  r = 57

5)  5t = 25

      t = 25/5

      t = 5

6) 8w = 64

    w = 64/8

   w = 8

7)  9y = 81

     y = 81/9

     y = 9  

8) p + 5 = 12

   p = 12 - 5

   p = 7

9)  a + 2 = 15

    a = 15 - 2

    a = 13

10)  w + 8 = 20

      w = 20 -8

      w = 12

11)  h/6 = 4

    h = 6 * 4

    h = 24

12) g/8 = 16

    g = 16 * 8

    g = 128

13) a/7 = 3

    a = 3 * 7

    a = 21

14) y - 11 = 28

    y = 28 + 11

    y = 39

15) d - 4 = 12

    d = 12 + 4

    d = 16

16) w - 10 = 15

    w = 15 + 10

    w = 25

Hence, solutions for all the equations would be

1. p = 30

2. h = 99

3. t = 31.4

4. r = 57

5. t = 5

6. w = 8

7. y = 9

8. p = 7

9. a = 13

10. w = 12

11. h = 24

12. g = 128

13. a = 21

14. y = 39

15. d = 16

16. w = 25

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. Which of the following is the graph of the equation y = 2x + 3?

Answers

Answer:

The graph of the equation y = 2x + 3 is a straight line that passes through the point (0,3) and has a slope of 2.

It can be represented as a set of points in a coordinate plane. The slope of the line is 2, so for every unit increase in x (horizontal coordinate), y (vertical coordinate) increases by 2 units. The y-intercept of the line is 3, so when x is 0, y equals 3.

A line passing through (0,3) with a slope 2 can be represented as (x, 2x + 3)

It is important to note that an equation in the form of y = mx + c, with m being the slope and c being the y-intercept, always represents a straight line in a coordinate plane.

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

6.3

Step-by-step explanation:

This is a right triangle, so in order to solve you can use the Pythagorean theorem; which is a² + b² = c² (The hypotenuse, or the longest side, equals C.  A and B equal the legs, or the shorter sides.)  So once you plug in the values, your equation should look like this:

3² + b² = 7²

Square each side, or in other words multiply it by itself.  

9 + b² = 49

Subtract 9 from both sides.  

b² = 40

Take the square root of 40 and your done!

b = 6.3

I hope this helped you!  :)

How do you find the f of G in a pair of functions?

Answers

To find the domain of f(g(x)), find the domain of both the inner function g(x) and the resultant function f(g(x)) and then compute the intersection.

What is function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Have given ,

f of G in a pair of functions ,

Let a example that f(x) = [tex]x^{2}[/tex] and g(x) = √x + 2

To find f(g(x)), we take f(x) and everywhere there's an x, we replace it with g(x).

f(x) = x2

f(g(x)) = g(x)2

= (√x + 2)2

= x + 2√x + 4

To find the domain of f(g(x)), find the domain of both the inner function g(x) and the resultant function f(g(x)) and then compute the intersection.

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3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto

Answers

The given set of ordered pairs does not satisfy a linear function.

What is a linear function?

A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.

Given:

The given set of ordered pairs is:

{(3, 2), (4, 3), (5, 4), (6, 5)}

To find:

Whether the given set of ordered pairs satisfies a linear function or not.

Explanation:

The slope of a linear function is:

m = (y₂ - y₁)/ (x₂ -x₁)

The slope of the linear function passes through the points  and  is:

m₁ = (3-1)/(3-1)

m₁ = 2/2

m₁ = 1

The slope of the linear function passes through the points  and  is:

m₂ = (9-3)/(5-3)

m₂ = 6/2

m₂ = 3

Therefore m₁ ≠ m₂ therefore the given set of ordered pairs does not satisfy a linear function.

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Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction

Answers

The required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.

What are Similar triangles?

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

The figure of the triangle is not given the quesiton, An figure is attached after the solution regarding the solution,

From diagram,
Consider the triangle RST and triangle VUT

ST/UT = 2

∠S = ∠U both are of 90°
RS/VU = 2.

So, triangles are similar by the SAS similarity theorem.

Thus, the required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.

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The length of the base of an isosceles triangle is x. The length of a leg is 5x -2. The perimeter of the triangle is 106. Find x. X =​

Answers

Answer:

x = 10

Step-by-step explanation:

the legs of an isosceles triangle are congruent.

the perimeter is the sum of the 3 sides of the triangle

sum the 3 sides and equate to 106

x + 5x - 2 + 5x - 2 = 106

11x - 4 = 106 ( add 4 to both sides )

11x = 110 ( divide both sides by 11 )

x = 10

3 pounds of peanuts for 7.50. how much is one pound

Answers

Answer: Ok to solve this question you would have to do $7.50 divided by  

3 and your answer should come out to be $2.5 or $2.50 per each pound.

Step-by-step explanation:

$7.50 divided by 3 = 2.5


and with money if you get a $2.5 it would be $2.50 because you have to add the zero to the end of it.

How do you multiply FG?

Answers

FG cannot be multiplied because it is not a numerical value.

Multiplication is a mathematical operation that involves multiplying two numerical values together to produce a single numerical result. In order for multiplication to be possible, both values must be numerical values. FG is not a numerical value, which means that it cannot be multiplied. In order for FG to be multiplied, it would need to be replaced with a numerical value, such as a number or an expression that can be evaluated to a number. Without a numerical value, multiplication is not possible. Multiplying numerical values is done by taking the product of the two values, meaning that the result of the multiplication is the sum of each value multiplied by itself the number of times the other value is. For example, if you were to multiply 3 and 4, the result would be 12 because 3 multiplied by itself 4 times is 12, and 4 multiplied by itself 3 times is also 12. Without numerical values, this operation cannot be performed.

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express √832 in the form 4n where n is the integral

Answers

We can express √832 as 4(2√13).

What is definite integral?

A definite integral of a function can be represented as the signed area of the region bounded by its graph.

Given is the root of 832 or √832.

Assume that {4n} is equal to {y}. So, we can write -

y = 4n

Squaring both sides, we get -

y² = (4n)² = (√832)²

y² = 16n² = 832

16n² = 832

n² = (832/16)

n² = 52

n = √52

n = 2√13

So, we can write (√832) as 4(2√13).

Therefore, we can express √832 as 4(2√13).

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How many ways can we put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together

Answers

On solving the provided question, we can say that the permutation will bw  , N = (4!)(5!)(3!)(3!)= 103,680

what is permutation?

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.

we can put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together will be , N = (4!)(5!)(3!)(3!)= 103,680

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how to solve inequations Why is it important to include flexibility in a workout exercise plan? An engine with a power output of 110 hp has a thermal efficiency of 28%. Determine the rate of fuel consumption (in kg/hr) if heating valve of the fuel is 44,200kj/kg 18 POINTS (dont answer icebrain)a.)b.)c.) Who wrote The Wealth of Nations in 1776 and coined the term the invisible hand? What are positive and negative examples? 95 POINTS!!! To increase business, the owner of a shoe store is running a promotion in which a customer's bill can be selected at random to receive a discount. When a customer's bill is printed, a program in the cash register determines randomly whether the customer will receive a discount on the bill. The program was written to generate a discount with a probability of 0.15; that is, 15% of the bills get a discount in the long run. However, the owner is concerned the program is incorrect and is not generating the intended long-run proportion of 0.15.The owner selects a random sample of bills and finds that only 12% of them received a discount. A confidence interval for p, the proportion of bills that will receive a discount in the long run, is 0.12 0.05, and all conditions for inference are met.Consider the confidence interval 0.12 0.05.Part A: Does the confidence interval provide convincing statistical evidence that the program is not working as intended? Justify your answer. (3 points)Part B: Does the confidence interval provide convincing statistical evidence that the program generates the discount with a probability of 0.15? Justify your answer. (2 points)Part C: A second random sample of bills is taken that is six times the size of the original sample. In the second sample, 12% of the bills received the discount. Determine the value of the margin of error based on the second sample of bills used to compute an interval for p with the same confidence level as that of the original interval. (2 points)Part D: Based on the margin of error in part C that was obtained from the second sample, is the program working as intended? Justify your answer. Can anyone help with this? Which of the following most likely accounts for acid precipitation occurring far from its point of origin, as indicated by the map Which expression is modeled by this set of arrows on the number line? How long will it take P6700 to accumulate to P7604.50 if the money is invested at 9% simple interest? Find the product.(6t-8bs) (t + bs)Enter the correct answer. Find the commission on a 1,250 sale with a commission rate of 5%. Please help only if you know it and please explain the answer Solve x^3 + x - 4 = 0, leaving your answers correct to 2 decimal places. Why is military communication important? What do the numbers on a pedigree mean? EX 2QUAD ABCD is a rectangle withdiagonals that intersect at point P.AC = 4x-13 and DP = x + 7. Find thevalue of 'x'. Highschool Algebra: Indicated Operation. (-ab2)(-6ab2)(3ab) Find (fg)(1)f(x)=x-1g(x) = x monteverdi composed the early opera work? orpheo, j.s bach, lully, the messiah