the sides of a parallelogram are 11 feet and 17 feet. the longer diagonal is 22 feet. find the length of the shorter diagonal.

The required point estimate of the population mean and the margin of error are 16 and 4.

The point estimate is the value of a statistic that estimate the value of the parameter.

According to given data in the question:

Given, lower point =12, upper point = 20

we know that

Population mean(x) = 12+20/2 = 16

And formula for margin o error,

x + E = upper point  , x - E = lower point

Then, 16 + E = 20

E = 4

Similarly, 16 - E = 12

E = 4

Hence, population mean and margin of error are 16 and 4 respectively.

To know about margin error visit:

brainly.com/question/10501147

#SPJ4

None of these are correct.

m/HZN = m/TZY, so m/YZT = m/HZN demonstrate commutative property

To learn more about commutative property  refer,

https://brainly.com/question/778086

#SPJ1

Answer:

4x-3y=6

because it is a way to write in standard form

Answer:

[tex] \frac{4}{5} x + 2y = 6[/tex]

is the correct answer

Step-by-step explanation:

The standard form of a equation is Ax+By=C

Third option satisfy it so option (c)is the correct Answer.

The material cost will be $361.1

The tent ha no floor, and it ha a radiu of 3 ft, and a slant height of 5 ft. If canva ell for $23. 00/yd²

Then, radius of base = 3​

Therefore, area of conical tent =πrl

area of conical tent = 3.14 x 3 x 5

area of conical tent = 47.1

If cost of canvas is $23. 00/yd²

1 yard = 3 feet

Then cost of canvas = (47.1/3) x 23.00

cost of canvas = 361.1

Therefore, the material cost will be $361.1

To learn more about cones refer here

https://brainly.com/question/6613758

#SPJ4

The solution to the system of linear equations is (0,2).

What is equation?

In arithmetic, an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

2x + 3y = 6 multiplied by 3

-3x + 5y = 10 multiplied by 2

6x + 9y = 18

-6x + 10y = 20

19y = 38

y = 38 / 19

y = 2

2x + 3x2 = 6

2x + 6 = 6

2x = 0

x = 0/2

x = 0

Therefore, The correct answer is (0,2)

to know more about equation , click on the link below

https://brainly.com/question/22688504

#SPJ4

The functions that are exponential are f(x) = 4(1/4)ˣ , g(x) = 14(4)ˣ and k(x) = 6(5.49)ˣ , the options that are correct are (a) , (b) and (e) .

In the question ,

five function are given ,

we need to select the functions that are exponential ,

We know that , Exponential function is a function whose value is a constant raised to power of a variable ,

For Example , f(x) = cˣ, where c is any constant value and x is a variable.

Part(a) ,

f(x) = 4(1/4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(b) ,

g(x) = 14(4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(c) ,

h(x) = 10x⁵

Since , x is present in the base , hence , it is not an exponential function .

Part(d) ,

j(x) = −9x⁴

Since , x is present in the base , hence ,it is not an exponential function .

Part(e) ,

k(x) = 6(5.49)ˣ

Since , x is in the exponent , hence it is an exponential function .

Therefore , The exponential functions are (a) f(x) = 4(1/4)ˣ  , (b) g(x) = 14(4)ˣ   and  (e) k(x) = 6(5.49)ˣ  .

The given question is incomplete , the complete question is

which of the following are exponential functions? select all correct answers.

(a) f(x) = 4(1/4)ˣ

(b) g(x) = 14(4)ˣ

(c) h(x) = 10x⁵

(d) j(x) = −9x⁴

(e) k(x) = 6(5.49)ˣ

Learn more about Exponential Functions here

https://brainly.com/question/15909860

#SPJ4

If the mean of a normal distribution is negative then the median and mode must also be negative.

As given in the question,

Mean of the normal distribution is negative,

a. Standard deviation must be negative : False

b. Median and mode must also be negative : true

c. Variance must be negative : false

d. Mistake has been made in the computations , mean of a normal distribution cannot be negative : false

Therefore, for mean of a normal distribution to be negative then median and mode must be negative is the correct option.

Learn more about normal distribution here

brainly.com/question/29509087

#SPJ4

The real percentage off of pant in the store was 39.99% in the store, which was less than the stated 70% off sign present on the door of store.

The percentage off will be calculated by the formula -

Percentage off = change in cost/original cost × 100

Change in cost = original cost - new cost

Change in cost = 49.99 - 30.

Performing subtraction on Right Hand Side of the equation

Change in cost = 19.99

Keep the values in formula for calculation of percentage off -

Percentage off = 19.99/49.99 × 100

Performing division on Right Hand Side of the equation

Percentage = 0.3999 × 100

Performing multiplication on Right Hand Side of the equation

Percentage = 39.99%

Thus, there was 39.99% off.

Learn more about percentage -

https://brainly.com/question/24304697

#SPJ4

When two sides and sides of one triangle are equal then it can be said that the triangles are congruent.

Here we have to find the case in which it can be proven that two triangles are congruent.

Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another side.

One of the simplest ways to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those two triangles must also be congruent. This method is called side-side-side( SSS).

Therefore when two angles and their sides are equal then two triangles are said to be congruent.

To know more about the congruent refer to the link given below:

https://brainly.com/question/11637992

#SPJ4

The profit exceeds the cost as y > 1000 + 15x. So, option 1 is correct.

Gaining anything is known as profit. When the Selling price ( SP ) of the product is more than the cost price ( CP ) of the product, we gain profit. Opposite to the profit is loss i.e. losing anything is called loss. When the Selling price ( SP ) of the product is less than the cost price ( CP ) of the product, we get a loss.

Profit can be calculated by the formula,

Profit   =   Selling Price - Cost price

      P   =   SP - CP

Loss can be calculated by the formula,

Loss   =   Cost price - Selling price

    L    =   CP - SP

As per the question,

⇒  When y > 1000 + 15x, then profit exceeds cost:

Therefore, the graph in the 1st option is correct as the profit exceeds the cost.

To know more about Profit refer to:

https://brainly.com/question/26215194

#SPJ4

The complete question is

There are 2 rearrangements of abcd in which no two adjacent letters are also adjacent letters in the alphabet.

What is letter arrangements?

A sorting technique that allows the person to arrange alphabets as conditioned according to the question. Then total arrangements are calculated to know the result.

According to the given question:

Using XXXX as stencil for letters arrangement

We can't put B in either of the middle positions, as there would only be the far end at which to put both A and C and we can't put two things in one slot. That is, XBXX would require A and C to both be in the red X in order to avoid putting them next to B...can't do that, so B can't go in the middle.

Similarly, we can't put C in either of the middle positions, as there would only be the far end at which to put both B and D and we can't put two things in one slot.

So, B and C must go on the ends.

BXXC can only be filled in as BDAC.

CXXB can only be filled in as CADB.

Hence there are 2 such arrangements.

To know more about letter arrangements visit

https://brainly.com/question/10937024

#SPJ4

Problem 1:

1) Simplify 1/3p to p/3.

-p/3 = 7

2) Multiply both sides by 3.

-p = 7 x 3

3) Simplify 7 x 3 to 21.

-p = 21

4) Multiply both sides by -1.

p = -21

Problem 2:

1) Simplify 4/5x to 4x/5.

48 = 4x/5

2) Multiply both sides by 5.

48 x 5 = 4x

3) Simplify 48 x 5 to 240.

240 = 4x

4) Divide both sides by 4.

240/4 = x

5) Simplify 240/4 to 60.

60 = x

6) Switch sides.

x = 60

Thanks,

Eddie E.

Answer:

a) p= -21

b) x= 60

Step-by-step explanation:

A) -1/3p=7

   /-1/3.  /1/3

    p=7*3/-1

   p= -21

B) 48=4/5x

   /4/5.  /4/5

   48*5/4=x

240/4=x

60=x

Hopes this helps please mark brainliest

The jobs can be ordered in the queue so that job A is first or job B is last or both, in  (2 x 13! - 12!) different ways or 11,975,040,000 different ways.

Factorial is a function to calculate number of ways a number of objects can be arranged.

In the given problem, there is a set of 14 jobs in the printer queue, where two of them called job A and job B.

Case 1: job A is the first in the queue order.

In this case, the position of job A is fixed and there are 13 other jobs can be arranged.

Hence, the number of possible ways of case 1 = 13!

Case 2: job B is the last in the queue order.

Similarly, in this case, the position of job B is fixed and there are 13 other jobs can be arranged.

Hence, the number of possible ways of case 2 = 13!

Case 3: job A is the first in the queue order or job B is the last in the queue order.

In this case, 2 positions are fixed, while the other 12 queue positions need to be arranged.

Hence, the number of possible ways of case 3 = 12!

Notice, that case 3 is a subset of case 1 and case 2. Hence,

total possible ways = possible ways of case 1 + possible ways of case 2 - possible ways of case 3

total possible ways = 13! + 13! - 12!

                                = 2 x 13! - 12!

                                = 11,975,040,000

Hence, the jobs can be ordered in (2 x 13! - 12!) ways or 11,975,040,000

Learn more about queue order here:

https://brainly.com/question/1867768

#SPJ4

Answer:

67

Step-by-step explanation:

angle EGF and angle EFH has the same arc EDH, so their angles are also the same

The sentence translated to an equation is given by 8(x+2) = 4.

Let the variable be x which is the unknown number.

Sum of the variable and 2 is represented by (x+2) .

8 times the sum = 8 (x+2)

The sum is equal to 4.

∴  8 (x+2) = 4

Therefore the required equation is  8 (x+2) = 4 .

An equation is regarded as linear when its highest power continuously equals 1. It is also stated as a one-degree equation. A linear equation with one variable typically has the form Ax + B = 0.

In this case, the variables x is a variable while the variable B is a constant. A linear equation with two variables often has the form Ax + By = C. The variables x and y, their respective coefficients A and B, and the constant C are present in this scenario.

In contrast to a linear equation with two variables, x and y, the graph of a linear equation with one variable, x, forms a vertical line that is parallel to the y-axis and vice versa.

To learn more about equation visit:

https://brainly.com/question/22157922

#SPJ4

The number of choice out of 7 that consumer have are 42.

The term permutation alludes to a numerical computation of the quantity of ways a specific set can be sorted out. Set forth plainly, a change is a word that depicts the quantity of ways things can be requested or organized. With stages, the request for the course of action matters.

Number of choices of side dishes does a customer have,

total dishes(n)=7 , r = 2

ⁿP₂

⁷P₂

7×6 = 42

Thus required number of ways are 42.

To know more about permutation visit:

brainly.com/question/13715183

#SPJ4

2  is unit digit in the product  .

What do Units digits mean?

unit digit of (784 ×618 × 917 ×463)

unit digit of ( 4 × 8× 7 × 3 )

unit digit of ( 672)

Learn more about Units digit

brainly.com/question/24111947

#SPJ4

The correct choice regarding the grammar illustrated is A. two thousand people are expected to attend the conference, with 965 coming from outside of the United States.

The grammar of a natural language is the set of structural constraints on the composition of clauses, phrases, and words by speakers or writers. The term can also refer to the study of such constraints, which includes domains such as phonology, morphology, and syntax, which are frequently supplemented by phonetics, semantics, and pragmatics.

There are currently two approaches to grammar study: traditional grammar and theoretical grammar. In this case, it should be noted that the fact that 2000 is written in words make it more logical and better.

Learn more about grammar on:

https://brainly.com/question/19452542

#SPJ1

In Mexico, 350 dollars would be equivalent to 6769.21 Mexican Pesos.

What is currency conversion?

Currency conversion is the process of exchanging one type of currency for another to facilitate transactions in which the issuer and acquirer use different currencies. Currency conversion usually incurs some additional costs for the customer.

In Mexico, 1 US dollar = 19.34 Mexican Pesos

So In Mexico, $350 = 350 * 19.34

                                 = 6769.21 Mexican Pesos.

Hence, In Mexico, 350 dollars would be equivalent to 6769.21 Mexican Pesos.

To learn more about currency conversions, visit:

https://brainly.com/question/1511496

#SPJ4

Answer:

50

Step-by-step explanation:

Since 45-45-90 tri, x^2+x^2=100^2.

x^2+x^2=10000 so 2x^2=10000 and 2x=100 so x=50

The evaluation of the paths of the ellipse and hyperbola are as follows;

Part A: The vertices are; (0, 36), (0, -4)

Part B: Comet H comes closest to the sun

Part C: The location of the Sun is the location of the x-coordinate of the path of both ellipse

An ellipse is the locus of a point that moves such that the sum of the distances from two points, known as the focal points, is a constant

Part A: The standard form of the equation of a hyperbola is presented as follows;

[tex]\dfrac{(x - h)^2}{a^2} -\dfrac{(y-k)^2}{b^2} =1[/tex]

Where;

(h, ,k) = The center of the ellipse

a = Vertex to center distance

c = The distance from center to foci

The equation of an ellipse is presented as follows  

[tex]\dfrac{(x - h)^2}{a^2} +\dfrac{(y-k)^2}{b^2} =1[/tex]

The vertices of the ellipse are; a + h and k + b

The specified equation is presented as follows;

Comet E = [tex]\dfrac{(y+16)^2}{400} +\dfrac{x^2}{144} =1[/tex]

The vertices for the comet E are;

(0, 20 + 16) = (0, 36) and (0, 16 - 20) = (0, -4)

Part B: Comet H = [tex]\dfrac{(y+13)^2}{144} +\dfrac{x^2}{25} =1[/tex]

The vertex of the comet H = (0, -13 + 12) = (0, -1), and (0, -13 - 12) = (0, -25)

Based on the location of the comet H close to the origin, the comet that comes closest to the Sun is comet H

Part C; The location of the Sun at the origin is the location of the x-coordinate of the center of both comets

Learn more about ellipses here:

https://brainly.com/question/27745454

#SPJ1

The sixth term of the arithmetic sequence 11, 15, 19, 23, 27, ..... will be 31.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

11, 15, 19, 23, 27, .....

The first term is 11. And the common difference between the terms is given as,

d = 15 - 11

d = 4

Then the nth term is given as,

aₙ = 11 + (n - 1) × 4

At n = 6, then the 6th term is given as,

a₆ = 11 + (6 - 1) × 4

a₆ = 11 + 5 × 4

a₆ = 11 + 20

a₆ = 31

The sixth term of the arithmetic sequence 11, 15, 19, 23, 27, ..... will be 31.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ1

The Volume percentage of the solution which is 1 cup of sugar to 2 quarts of water is 15.15%.

⇒The volume percentage of the solution,

               = Volume of solute / Volume of Solution × 100%       →  1

As per the question,

Substitute the values in 1,

Volume percentage of the solution   =   Volume of solute / Volume of

                                                                  Solution ×  100%

                                                             =   ( 50 / 330 ) × 100

                                                             =   0.1515 × 100

Volume percentage of the solution   =   15.15%

Therefore, 15.15% is the volume percentage of this solution.

To know more about finding the volume percent of the solution refer to:

https://brainly.com/question/19379932

#SPJ4

The solution set of the inequality |x+2| ≤ 5 is x ∈ [-7,3].

The word inequality means a mathematical expression in which the sides are not equal to each other.

Basically, an inequality compares any two values and shows that one value is less than, greater than, or equal to the value on the other side of the equation.

The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative.

Modulus function is denoted as y = |x| or f(x) = |x|, where f: R→ (0,∞) and x ∈ R.

Here, we have an inequality  |x+2| ≤ 5

Solving the modulus , we get

          -5 ≤ x+2 ≤ 5

Subtracting -2 from both sides, we get

      ⇒ -5-2 ≤ x ≤ 5 -2

      ⇒ -7 ≤ x ≤ 3

      ⇒ x ∈ [-7,3]

Therefore, the solution set of the inequality is x ∈ [-7,3].

To know more about inequality, visit

https://brainly.com/question/28093318

#SPJ4

NOTE : The question given here is not complete. The complete question is given below.

Question: What is the solution set of the inequality |x+2|≤ 5 ?

Answer:

x=111, y=29

Step-by-step explanation:

The probability that the wheel stops on a white slice, given that the wheel stops on a number less than 9 is 1/2.

We have given that

A spinner with 8 equally size slices numbered 1 to 8 and some slices are white and other gray in colour .

Total possible outcomes = 8 = {1,2,3,4,5,6,7,8}

we have to calculate probability that the wheel stops on a white slice, given that the wheel stops on a number less than 9?

let consider two events

A : wheel stops at white

B: wheel stops on white slice and number less than 9

favourable cases for event A = 4

= { 8,4,2,1}

P( wheel stops at white colour)

= favourable cases/total possible outcomes

= 4/8 = 1/2

favourable cases for event B = 4

= {1,2,4,8}

Probability ( wheel stops white slice with numbered less than 9)= white slice with number less than 9/ total slices numbered less than 9

= 4/8 = 1/2

Hence, the required probability is 1/2.

To learn more about Probability, refer:

https://brainly.com/question/13604758

#SPJ4

Complete question:

spinner has 8 equally sized slices numbered from to 1&8 Some are white and some are grey, as shown below. 1 2 3 4 5 6 7 8 . Answer the following questions Write each answer a fraction. The wheel will be spun and will stop on a slice at random (a) What Is the probabllity that the wheel stops on grey slice, glven that the (b) wheel stops on &n even-numbered slice?

The four basic properties of addition are:

Commutative property.

Associative Property.

Distributive Property.

Additive Identity Property.

When we add two or more numbers, their sum is the same regardless of the order of the addends. We can write this property in the form of A + B = B + A.

When we add three or more numbers, the sum is the same regardless of the grouping of the addends. It also means that when we add three different numbers, the result is not affected by the addition pattern followed.

A +( B+C) = (A + B)+C

On adding zero to any number, the sum remains the original number. Adding 0 to a number does not change the value of the number. It is true for natural numbers, whole numbers, fractions, integers, and decimals.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately

Hence we get the required answer.

Learn more about Addition here:

brainly.com/question/25421984

#SPJ4

Answer:

2

Step-by-step explanation:

The original ratio is 6:12

That could be looked at as divided by half. OR, you can look at it as 12/3 is 4

So 4/2 is 2, and for the second method I provided... 6/3 is 2

Answer:

[tex]\frac{3} {4}[/tex] cup

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] as a decimal = 0.5

[tex]\frac{3}{4}[/tex] as a decimal = 0.75