Find the Factor of 20

Answer:

[895.05; 940.81]kWh

Step-by-step explanation:

Hello!

Be X: monthly electricity usage by a residential customer

X~N

σ²: 12100KWh²

To estimate the population mean using a 98% CI you have to use the following formula

[X[bar]±\(Z_{1-\alpha /2}\) * \(\frac{Sigma}{\sqrt{n} }\)]

1-α: 0.98

α0.02

α/2: 0.01

1-α/2:0.99

\(Z_{1-\alpha /2}= Z_{0.99}= 2.326\)

n= 125

X[bar]= ∑X/n= 228565/125= 917.93

[917.93±2.326 * \(\frac{110}{\sqrt{125} }\)]

[895.05; 940.81]

Using a 98% confidence level you'd expect that the interval [895.05; 940.81]kWh will include the average monthly electricity usage of residential customers.

I hope this helps!

Raw data:

Electric Usage

765

1139

714

687

1027

1109

749

799

911

631

975

717

1232

806

637

894

856

896

1272

1224

621

606

898

723

817

746

933

595

851

1027

770

685

750

1198

975

678

1050

886

826

1176

583

841

1188

692

733

791

584

1163

593

1234

603

1044

1233

1178

598

904

778

693

590

845

893

1028

975

788

1240

1253

854

1185

1164

741

1058

1053

795

1198

1240

1140

959

938

1008

1035

1085

1100

680

1006

977

1042

1252

943

1165

1014

912

791

612

935

864

953

667

1005

1063

1095

1086

810

1032

970

1099

1229

892

1074

579

754

1007

1116

583

763

1231

966

962

1132

738

1033

697

891

840

725

1031

Using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. This method allows us to calculate both the value of many units from the value of one unit and the value of one unit from the value of many units. In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or fewer quantities are then determined. This method is known as the unitary method for this reason.

Given,

The cost of an ounce of medium soft serve = $0.56

The amount of soft serve in a medium size  = 6.5 ounces

We are asked to find the cost of the total amount of soft serve in a medium size.

This can be done using the unitary method.

If 1 ounce = $0.56

Then for 6.5 ounces, the cost is = 6.5 * 0.56 = $3.64

Therefore using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

To learn more about the unitary method, follow the link.

https://brainly.com/question/24587372

#SPJ1

Answer:

Dear Friend

the answer is 6

Step-by-step explanation:

Just see the highest possible degree x in each term being multiplied and add the degree

that is

x has a degree 1

(x-1)² has a highest possible x degree as 2

for (x+5)³ it is 3

1+2+3=6

Answer:

3/4.236=0.70

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

1 kilogram is 1000 grams

2 kilograms is 2000 grams

We multiply our amount of kilograms by 1000 to find the amount of grams!

9 * 1000 = 9000

So, 9 kilograms = 9000 grams

Answer:

9000 grams.

Step-by-step explanation:

"Kilo" means 1000.

Therefore, in converting 9 kilograms to grams:

9 kilograms x (1000 grams/1 kilogram) = 9000 grams/9 kilograms, or

9 kilograms = 9000 grams.

~

Learn more about kilograms to grams, here:

https://brainly.com/question/14147088

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

More can be learned about complex numbers at https://brainly.com/question/10662770

#SPJ1

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Answer: $94.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

since the base angles of a triangle are equal the given triangle an isosceles triangles.

therefore side x is also 9 because the two sides of an isosceles triangle is equal.

Now for side y

using pythagoras theorem

a^2 + b^2 = c^2

9^2 + 9^2 =y^2

81 + 81 = y^2

162 = y^2

\(\sqrt{162}\) = y

\(9\sqrt{2}\) =y

Answer:

x= -27

Step-by-step explanation:

multiply by -9 on both sides

x/-9=3

x-9    x-9

x= -27

Answer:

A) Protractor

Step-by-step explanation:

In Mathematics, geometric constructions refers to the drawing of geometric shapes, lines and angles with the exclusive aid of a pencil, straightedge/ruler and a pair of compass.

The pencil is the major drawing tool during the construction while the pair of compass and straightedge are used to construct arcs/circles and straight lines respectively. Note that, a PROTRACTOR is not needed in a geometric construction because length or angle measurements are prohibited.

In true geometric construction, we can not use Protractor.So that, protractor is not tool for geometric construction.

Option a is correct.

The two tools that we need to make geometric constructions are these two: compass, straightedge.

By using  compass , to make various arcs from different points, these arcs will intersect at important points that we can then use the straightedge to connect with other points.

Measurements using a protractor or a ruler is never considered to be part of a geometric construction.

Learn more about the construction tool here:

https://brainly.com/question/17038146

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

Read more about Trigonometric Identities at: https://brainly.com/question/7331447

#SPJ1

Answer:

1/3

Step-by-step explanation:

Answer:

The answer to this is 12850

Step-by-step explanation:

All the three locations has been checked below.

Using Pythagoras theorem,

12² = 8² + x²

144 - 64 = x²

x= √80

x=8.9

Now, using Trigonometry

tan F = P/B

tan F= 8/8.9

and, sin F = P/H

      sin F= 8/12 = 2/3

and, cos F = B/H

        cos F= 12/8.9

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ1

Answer:

Step-by-step explanation:

343: = 7 * 7 * 7

x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x

y^12: = y^6 * y^6

z^6: = z^3 * z^3

So the square root  is

√343 = 7 √7

√x^9 = x^4√x

√y^12 = y^6

√z^6 = x^3

The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.

So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.

x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.

So the answer is

7  * x^4 * y^6 * z^3 * √7x

The solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

The system of equations is given as

2x - y + 2z = -6

-3y + z = -2

2x - 3z = -4

Subtract 2x - 3z = -4 from 2x - y + 2z = -6

This is represented as

(2x - y + 2z = -6) - (2x - 3z = -4)

This gives

- y + 5z = -2

Multiply - y + 5z = -2 by 3

-3y + 15z = -6

Subtract -3y + 15z = -6 from -3y + z = -2

This is represented as

(-3y + z = -2) - (-3y + 15z = -6)

This gives

-14z = 4

Divide by -14

z = -2/7

Substitute z = -2/7 in - y + 5z = -2

- y - 5 * 2/7 = -2

This gives

- y - 10/7 = -2

Rewrite as:

y = 2 - 10/7

Evaluate

y = 4/7

Substitute z = -2/7 in 2x - 3z = -4

2x - 3 * 4/7 = -4

This gives

2x - 12/7 = -4

So, we have:

2x = 12/7 - 4

Evaluate

2x = -16/7

Divide by 2

x = -8/7

Hence, the solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

Answer:

4 and 9

Step-by-step explanation:

I am going to use an upper case E for the symbol in the answers. The E symbol means "is a member of set..."

So " 1 E A " means "1 is a member of set A."

And " 4 E A" means "4 is a member of set A.

Now at the beginning of the question they told you what numbers were in which sets. 1 through 9 are in set U. But only 4 and 9 are in set A. The contents of the set are listed in between a pair of grouping symbols { } that are kind of squiggly brackets. That's how you know what is in the set.

Since set A only contains 4 and 9, those are your two correct answers:

"4 E A" AND "9 E A"

3 teragrams is equal to 3 million grams.

The formula to convert teragrams (tg) to grams (g) is: grams = teragrams x 1000000000000. For example, to convert 15 teragrams to grams, we multiply 15 by 1000000000000, which equals 1.5e+13 or 150000000000000 grams. To convert grams to teragrams, we reverse the formula by dividing grams by 1000000000000. For example, to convert 1500000000000 grams to teragrams, we divide 1500000000000 by 1000000000000, which equals 1.5 teragrams.1 tg (teragram) is equal to 1000000 g (grams).

To calculate how many grams are in a teragram, you can use the following formula:

Grams = Teragrams x 1,000,000

For example, let's say you have 3 teragrams. To find out how many grams this is, you would use the formula above:

Grams = 3 tg x 1,000,000

Grams = 3,000,000 g

In other words, 3 teragrams is equal to 3 million grams.

Learn more about teragrams here:

https://brainly.com/question/941818

#SPJ4

The value of the expression is:

5 * 5 + (3/3)

First, we perform the multiplication:

5 * 5 = 25

Then, we perform the addition:

25 + (3/3)

Since 3 divided by 3 equals 1, the expression simplifies to:

25 + 1

Therefore, the value of the expression is:

25 + 1 = 26

Answer:

I like looking and drawing a penguins

Step-by-step explanation:

And no 1-5 is not 3, it is -4

Answer: pretty sure

Step-by-step explanation:

Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

For more such questions on angle

https://brainly.com/question/31615777

#SPJ8

Answer:

esta padre tu pregunta si que bueno

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

x-intercept: \(\bigg(\frac{5}{2}, \:0\bigg)\)

y-intercept: \((0,\:5)\)

Step-by-step explanation:

To find the x-intercept, substitute in \(0\) for \(y\) and solve for \(x\).

\(-4x + 7 = 2y - 3\)

\(-4x+7=2\left(\bold{0}\right)-3\)

Simplify 2(0):                                          \(-4x+7=2\cdot \:0-3\)

Subtract 0 - 3 = -3:                         \(-4x+7=-3\)

Subtract 7 from both sides:          \(-4x+7-7=-3-7\)

Simplify:                                         \(-4x=-10\)

Divide both sides by -4                \(\frac{-4x}{-4}=\frac{-10}{-4}\)

\(\bold{x=\frac{5}{2}}\)

To find the y-intercept, substitute in \(0\) for \(x\) and solve for \(y\).

\(-4x + 7 = 2y - 3\)

\(-4(\bold{0})+7=2y-3\)

Switch sides:                               \(y-3=-4\left(0\right)+7\)

Simplify -4(0):                              \(2y-3=-0+7\)

Add 3 to both sides:                  \(2y-3+3=7+3\)

Simplify:                                      \(2y=10\)

Divide both sides by 2:             \(\frac{2y}{2}=\frac{10}{2}\)

\(\bold{y=5}\)

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

By using a system of equations, we will see that the solution is:

x = 25, y = -50, z = -15

We can write this as a system of equations:

4x + 2y - z = 15

x + y - z = -10

-3x - y + z = 60

Notice that if we add the second and third equations, we get:

(x + y - z) + (-3x - y + z ) = -10 + 60

-2x = 50

x = 50/-2 = -25

So we already got the value of x. Replacing that in the second equation we et:

25 + y - z = -10

Isolating y we get:

y = -10 - 25 + z = z - 35

Now we can replace that in the first equation:

4x + 2y - z = 15

4*25 + 2*(z - 35) - z = 15

100 + z - 70 = 15

z = 15 - 100 + 70 = -15

And using:

y =  z - 35 = -15 - 35 = -50

Then the soution to the matrix equation is:

x = 25, y = -50, z = -15

If you want to learn more about matrix equations:

https://brainly.com/question/11989522

#SPJ1