Please help me this is due tonight

If an 80% confidence interval for a proportion is found to be (0.27, 0.33), then the sample proportion would be 0.30

Sampling is frequently used to estimate the proportion of a population that has a given attribute, such as the proportion of all faulty goods coming off an assembly line or the proportion of all individuals visiting a retail store who make a purchase before leaving. The percentages for the population and sample are written as p and p, respectively. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance.

How to solve?

For this case the confidence interval is given by:

(0.27; 0.33)

We can find the estimaed proportion in the following way:

p = (0.27 + 0.33)/2 = 0.30

then the sample proportion would be 0.30

To learn more about sample proportion, visit:

https://brainly.com/question/16348463

#SPJ4

System A: (1, -1)

System B: No solution

Answer:

System A

The system has a unique solution: x=1, y=-1

System B

The system has no solution

Step-by-step explanation:

System A

Use simultaneous equations to see if we can solve the system by multiplying the second equation by -1 and adding them together:

5x + 3y = 2

-4x - 3y = -1

We get (5-4)x+(3-3)y=(2-1), which simplifies to x=1

If x=1:

5+3y=2

3y=-3

y=-1

Since we have specific answers for x and y, we can say the system has a unique solution.

System B

If y is equal to both 5x+8 and 5x+5, that means

5x+8=5x+5

Subtracting 5x from both sides we get 8=5, which is illogical.

Therefore the system has no solution

Answer:

  (2n -5)(3n -2)

Step-by-step explanation:

You want to factor 6n² -18n +10.

You want to start by finding factors of the product (6)(10), the first and last coefficients, that have a sum equal to -18, the linear term coefficient.

This sum is negative, but the product is positive, so both factors will be negative. Listing the smallest magnitude first, we have ...

  60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)

The sums of these pairs are -61, -32, -23, -19, -17, -16. This identifies the pair of interest as (-4)(-15).

From here, there are a couple of ways you can proceed. One is to write the linear term as a sum using these values:

  6n² -4n -15n +10

Now, you can factor by grouping:

  = (6n² -4n) -(15n -10)

  = 2n(3n -2) -5(3n -2)

  = (2n -5)(3n -2) . . . . . . . . the factorization you want

Another way you can do this is to write binomial factors using the leading coefficient for each one. The product of these must be divided by the leading coefficient for it to remain equal to the original trinomial.

  = (6n -4)(6n -15)/6

The denominator of 6 is used to reduce each of the binomial factors.

  [tex]=\dfrac{(6n-4)(6n-15)}{2\cdot3}=\dfrac{6n-4}{2}\cdot\dfrac{6n-15}{3}[/tex]

  = (3n -2)(2n -5) . . . . . . . the factorization you want

Ordered triplet (-2, -6, 3) is the solution of the system of equations

3x+4y-z = 5

5x-y + 3z = -7

9x + 5y + 7z = -21

How to determine if an ordered triplet is solution to system of equations?

To determine if an ordered triplet is a solution to a system of three equations, we substitute the values of the variables into each equation. If the ordered triple makes all three equations true, it is a solution to the system.

According to the given question:

System of equations are

3x+4y-z = 5

5x-y + 3z = -7

9x + 5y + 7z = -21

Now, substituting (-1, 2, 0) in every equation to check if LHS = RHS for each.

1. 3x + 4y - z = 5

    LHS = 3(-1) + 4(2) - 0 = -3 + 8 = 5 = RHS

2. 5x-y + 3z = -7

   LHS = 5(-1) - 2 + 0 = - 5 -2 = -7 = RHS

3. 9x + 5y + 7z = -21

   LHS = 9(-1) + 5(2) + 0 = -9 + 10 = 1 ≠ RHS

Therefore (-1, 2, 0) is not the solution for the system of equations.

Similarly substituting (-2, -6, 3) in every equation.

Clearly (-2, -6, 3) satisfies the system of equations.

Hence (-2, -6, 3) is the solution to the system of equations.

To know more about system of equations visit

https://brainly.com/question/28450054

#SPJ1

The proportionality constant from the original figure to the scaled copy is 2/9.

The constant of proportionality is the ratio between two given integers in what is known as a proportional relationship. The proportionality constant is also known as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

We have here

To make a scaled duplicate, a four-sided figure is resized.

The proportionality constant from the original figure to the scaled copy is: 8/36 = 10/45 = 12/54 = 2/9.

As a result, the proportionality constant from the original figure to the scaled copy is 2/9.

Hence, the proportionality constant from the original figure to the scaled copy is 2/9.

To know more about constant of proportionality, visit:

https://brainly.com/question/924976

#SPJ1

In the discrete distribution the probability that x equals 5 is 0.51

A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum

The summation of the discrete probabilities must be always equal 1,

The probaility of 2 is 0.16

The probaility of 6 is 0.30

The probaility of 8 is 0.21

We need to find The probaility of 5

To find the probaility of 5, we can subtract the probaility of all other numbers from 5.

Probability (X = 5) = 1 - (0.25+0.16+0.08) = 0.51

Therefore, in the discrete probability distribution the probability that x equals 5 is 0.51

To learn more about probability refer here

https://brainly.com/question/23286309

#SPJ4

Answer:

y+5 = -2(x+3)

Step-by-step explanation:

y-(-5) = -2(x-(-3)

y+5 = -2(x+3)

y +5 = -2x - 6

y = -2x - 6 - 5

y = -2x - 11

The quotient is 2x² + 10x − 5, and the remainder is 0.

What is synthetic division?

Synthetic division is a method in algebra for manually performing Euclidean division of polynomials that requires less writing and fewer calculations than long division. It is typically taught for division by linear monic polynomials, but the method can be applied to any polynomial.

The given polynomial is (2x³ + 4x² - 35x + 15) and we have to divide this polynomial by (x - 3).

By using synthetic division

   2x³ + 4x² - 35x + 15

Take the constant term of the divisor with the opposite sign and write it to the left

     3 |   [tex]x^3[/tex]    [tex]x^2[/tex]     [tex]x^1[/tex]      [tex]x^0[/tex]

        |   2     4     -35     15

   ----|----------------------------

Write down the first coefficient as it is

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

   3 |   2            4     -35     15

      |         3.2 = 6

 ----|----------------------------

         2           10    

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

 3 |   2      4     -35     15

    |           6       30

-----|----------------------------

         2    10       -5

Again, we get

3 |   2      4     -35     15

    |           6      30   -15

-----|----------------------------

         2    10     -5      0

We have completed the table and have obtained the following resulting coefficients: 2,10,−5,0.

Thus, the quotient is 2x² + 10x − 5, and the remainder is 0.

To learn more about synthetic division, visit:

https://brainly.com/question/24662212

#SPJ4

Answer:

I didn't know kindergardeners had Brainly.

The exact value of tan(θ ) in simplest radical form is 1/9 .

What is the trigonometric ratio?

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

(-9,-1), is a point with x= -9 = adjacent side, y= -1 = opposite side

tan(θ ) = opposite side/adjacent side = -1/-9  = 1/9

1/9 can't be simplified further

So, the exact value of tan(θ ) in simplest radical form is 1/9 .

To learn more about trigonometric ratios form the given link

https://brainly.com/question/23130410

#SPJ4

Answer:

8551.56

Step-by-step explanation:

[tex]A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56[/tex]

The final answer to this Problem is 32000 pesos.

What is Company?

A company is an organization that provides goods or services to its customers in exchange for money. Companies are typically formed by entrepreneurs or business owners who have a vision for a product or service they want to offer. The company is responsible for producing the product or service, marketing it, and then distributing and selling it to the public. Companies must also manage their finances and comply with any legal or regulatory requirements. Companies are typically owned by shareholders who reap the profits of the business. Successful companies often have a strong corporate culture that is reflected in their mission and values.

Pesos that initially was available = 15000 pesos

During year Pesos purchased by company = 25000 pesos

Total pesos at end of the year = 15000 + 25000 pesos = 40000 pesos

Total pesos remaining at end of year = 8000 pesos

Hence pesos consumed in the complete year = 40000 - 8000= 32000 pesos

Hence 32000 pesos are left in the company

To learn more about Company click the below link:

https://brainly.com/question/29354835

#SPJ9

The object continues to roll without slipping, and the actual force of static friction stays constant.

A force that holds an object at rest is called static friction.

The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

The range of static friction is 0 to the minimum force required to initiate motion.

The following is the formula to determine static friction: Normal Force x Static Friction Coefficient = Static Friction.

So, in the given situation the object keeps rolling without slipping, and the static friction's actual force remains constant.

Therefore, the object continues to roll without slipping, and the actual force of static friction stays constant.

Know more about static friction here:

https://brainly.com/question/13680415

#SPJ4

The value of the quotient of the polynomial is 2x^2 + 2x + 10 and the remainder is 28

A method for solving a rational number that represents a polynomial divided by a monomial or another polynomial is called "dividing polynomials." In order to divide normally, we place the dividend and the divisor in the exact same manner.

Divide the first term of the dividend by the highest term of the divisor, which in this case is x (i.e., the term with the highest power of x).

Divide the divisor by the outcome you just got (the first term of the eventual quotient).

By following the above rules where

2x3-4x2+3x+2 is divided by the x-3, We get the following equation

where

quotient is 2x2+2x+10

and the remainder is 28

To know more about polynomials click the following link:-

https://brainly.com/question/2833285

#SPJ1

0.0721 proportion of the students in the class have a height less than Ikue's height.

Here, we are given that a set of elementary school student heights are normally distributed with a mean of 105 cm ⇒ μ = 105 and standard deviation 10 cm ⇒ σ = 10

The z score can be calculated using the formula-

Z = (X - μ) / σ

X is the observed value, here, X = 90.4

Since we need the proportion of student heights are lower than ikue's height, we look at the negative z score only.

Substituting the values in the z score formula we get-

Z = ( 90.4 - 105) / 10

Z = - 1.46

Now, from the z score tables, we see that the value of Z < -1.46 is 0.0721.

Thus, 0.0721 proportion of the students in the class have a height less than Ikue's height.

Learn more about z scores here-

brainly.com/question/25638875

#SPJ4

The coordinates of a' after scaling factor of 1/3 is a'(1,1).

Given:

points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.

Rectangle:

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.

Scale factor :

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

scale factor = 1/3

= (3*1/3 , 3*1/3)

= (3/3 , 3/3)

= (1,3/3)

= (1,3)

Therefore the coordinates of a'(1,1).

Learn more about the coordinates here:

https://brainly.com/question/27749090

#SPJ4

Answer:

y = 10/17x - 7

Step-by-step explanation:

→ Write in standard form

y = 10/17x + c

→ Substitute in (17, 3)

3 = 10 + c

→ Solve for c

c = -7

→ Rewrite

y = 10/17x - 7

What is this question I don't understand

Answer:

-626.8

Step-by-step explanation:

78 -716 + (0.8)(14)

78 - 716 + 11.2

(78 -716) + 11.2

-638 + 11.2

-626.8

Given two calculations are different.

What is a square of a number?

The square of any number can be calculated by multiplying the number by itself twice.

Let 'a' be any number then the square of this number 'a' will be

                        a² = a × a

Now  - 3² = - (3) × (3)

               = -9  ----------(I)

and (-3)² = (-3) × (-3)

              = 9 ----------(II)

By observing (I) and (II) we can say that in the second case just because of the scope of brackets the square of -3 would result in 9.

But in the first case square of 3 would give 9 and because of the minus sign, it gave -9.

Hence, These two calculations are different.

To learn more about the square of a number, visit:

https://brainly.com/question/27307830

#SPJ4

The statement that is used to prove the congruence of angles PTR and STQ is given by:

Lines PQ and RS intersect at an angle less than a right angle.

Congruent angles are angles that have the same measure.

One example of congruent angles is for vertical angles, as these angles are opposite by the same vertex in crossing segments, with an angle less than a right angle of 90º, and then these two angles will be congruent.

The common vertex in the segment given at the end of the answer is of:

T.

The vertical angles are both acute angles, that is, angle measures that are less than 90º, which is the reason for the correct statement.

The diagram is given by the image presented at the end of the answer.

More can be learned about vertical angles at brainly.com/question/1673457

#SPJ1

Answer:

About 2.1 pounds a month.

Step-by-step explanation:

In this question, we know the amount of weight gained and the time it took, 20 pounds and 9.5 months.

to find the rate, we can do:

20/9.5

about 2.1

So, the answer will be:

about 2.1 pounds / month

The distance between holes is 11.7m

A diagonal is a line segment that joins one corner (vertex) of a polygon to another but is not an edge (side). In other words, it joins any two non-adjacent vertices of a polygon. So, we form a diagonal in a polygon when we directly join any two vertices which are not joined by any side.

let x be the distance between opposite holes which is the diagonal of the rectangle.

so that,

x^2 = 11^2 + 4^2

x^2 = 121 + 16

x^2 = 137

x = [tex]\sqrt{137}[/tex]

x = 11.7km

In conclusion the distance between holes is 11.7km

Learn more about diagonal: https://brainly.com/question/23008030

#SPJ1

Answer:

A,B, C is the answer

Step-by-step explanation:

35 +25 +15 +25= 100

I hope this helps

Answer: First number is 16, second number is 17.

Step-by-step explanation
16 + 17 = 33

16 x 7 = 112
17 x 5 = 85

112 + 85 = 197

Answer:

129723

Explanation:

[tex]1800(1+0.13)^{35} \approx 129723[/tex]

The divide rule will be;

⇒ Divisor = (Dividend - Remainder) / Quotient

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Vocabulary Use the terms divisor, dividend, quotient, and remainder.

Now,

If we have to find the divisor , then we can use the divide rule as;

⇒ Divisor = (Dividend - Remainder) / Quotient

Thus, The divide rule will be;

⇒ Divisor = (Dividend - Remainder) / Quotient

Learn more about the divide rule visit:

https://brainly.com/question/4158962

#SPJ1

The Division Equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].

What is Division Equation?

Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety.

For given solution i.e. -9/14, we can write division equation as follows,

           [tex]\frac{-9* 2x}{14*2x}[/tex]

    i.e.   [tex]\frac{-18x}{28x}[/tex]

Hence, The division equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].

To learn more about Division Equation, visit

https://brainly.com/question/25289437

#SPJ1