Use the distributive property to expand the following expression.
-2(2.1x+3y-1.8)
WILL MARK BRAINLYEST

Done!

The given statement is false.

Statistics is a science concerned with developing and studying methods of collecting, analyzing, interpreting, and presenting empirical data. Statistical research is applicable to virtually all scientific disciplines, and research challenges in various scientific disciplines motivate the development of new statistical methods and theories. Statisticians use a variety of mathematical and computational tools to develop methods and study the theory behind methods.

The given statement is false: A p-value is the probability of obtaining a sample statistic less extreme than the one observed under the assumption that the statement in the null hypothesis is true.

learn more about statistics here :

brainly.com/question/23091366

#SPJ4

1. 22/25

2. -1 1/4

3. -1 7/10

4. 1 5/6

5. 1 2/3

Answer:

Step-by-step explanation:

1= 22/25

2= -1 1/4

3= - 1 7/10

4= 1 5/6

5= 1 2/3

The total area of the window is 1824 square inches

From the question, we have the following parameters that can be used in our computation:

The composite figure that represents the window

The total area of the window is the sum of the individual shapes

So, we have

Surface area = 48 * 32 + 1/2 * 48 * 12

Evaluate

Surface area = 1824

Hence. the total area of the window is 1824 square inches

Read more about area at

brainly.com/question/26403859

#SPJ1

Answer:

640 students

Step-by-step explanation:

We are told in the question that 4 out of every 5 students owns a bicycle

This also means , out of every 5 students only 1 does not have bicycle

Then we have a ratio of 4 : 1

This means a fraction of 4/5 students own a bicycle in a school

Based on this result, how many of the 800 students in a school own a bicycle?

This calculated as:

4/5 × 800

= 640 students

Therefore, 640 students out of 800 students own a bicycle

There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.

The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.

We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.

Using a z-test, we can calculate the z-score by using the formula:

z = (p' - p) / sqrt(p * (1 - p) / n)

where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.

At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.

If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:

z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83

Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.

To know more about null hypothesis, refer here:

https://brainly.com/question/31525353#

#SPJ11

Step-by-step explanation:

27^1/3

=(3^3)^1/3

=(3^3)×1/3

=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Or

27^1/3=?

To find the answer, I will use one formula from Laws of Exponent

a^p/q

=q√a^p

Apply the same steps to 27^1/3

27^1/3

=³√27¹

=³√27

=3. Hope it help!

Answer:

Step-by-step explanation:

Solution

This is matching the last answer option

Answer:

t =28

Step-by-step explanation:

A pentagon is formed with 3 triangles so 3*180 is 540 so the total is 540 degrees.

Now we add all the angles up 96+102+147+139 = 484.

540-484 = 56

2t = 56

t = 28

nice profile pic btw

Answer:

b= 15 cm

Step-by-step explanation:

Answer:

15 cm

Step-by-step explanation:

Area of a triangle a = 1/2 * base * height

60 = 1/2 * base * 8

base = 60* 2 / 8 = 15 cm

Answer:

80.01>11.69n

Explanation:

100-19.99=80.01

she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.

By multiplying a number by 2 or adding a number to itself, then the number is doubled.

What is a double fact equation?

A doubles fact is a number sentence that repeats the same addend, such as 3 + 3 = 6 or 8 + 8 = 16.

a doubles fact is a number sentence that repeats the same addend, such as 3 + 3 = 6 or 8 + 8 = 16.

Double numbers or doubles simply represent twice the given amount or number.

A double is a number or an amount that is twice as large as the given number or amount.

So, if we multiply a number by 2 or if we add a number to itself, we say that the number is doubled.

Doubling 1 ball results in 2 balls.

How to Double a Number:

the formula for doubling numbers.

We can double any number in two ways.

1) Multiply the number by 2.

Double of n = n * 2 = 2n

2) Add the number to itself.

Double of n = n + n = 2n.

Hence, by multiplying a number by 2 or adding a number to itself, then the number is doubled.

To learn more about the double fact equation visit,

https://brainly.com/question/29631557

#SPJ4

Answer:

x = 33

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x

x = 180 - (90 + 57) = 180 - 147 = 33

Answer:

0.9168

Step-by-step explanation:

From the data given:

Mean = 110

standard deviation = 5

Let consider a random sample n =49 which have a mean between 109 and 112.

The test statistics can be computed as:

\(Z_1 = \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z_1 = \dfrac{109- 110}{\dfrac{5}{\sqrt{49}}}\)

\(Z_1= \dfrac{-1}{\dfrac{5}{7}}\)

\(Z_1\)  = -1.4

\(Z_2= \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z_2 = \dfrac{112- 110}{\dfrac{5}{\sqrt{49}}}\)

\(Z_2 = \dfrac{2}{\dfrac{5}{7}}\)

\(Z_2 =2.8\)

Thus; P(109  <  \(\overline x\)  <  112) = P( - 1.4 < Z < 2.8)

= P(Z < 2.8) - P( Z < -1.4)

= 0.9974 - 0.0806

= 0.9168

the exact length of the arc intercepted by a 75º central angle on a circle with a radius of 20 feet is (25π) / 3 feet.

To find the exact length of the arc intercepted by a central angle of 75º on a circle with a radius of 20 feet, we can use the formula:

Arc length = (central angle / 360º) * (circumference of the circle)

First, let's calculate the circumference of the circle:

Circumference = 2 * π * radius

Circumference = 2 * π * 20

Circumference = 40π

Now, we can substitute the values into the formula to find the length of the arc:

Arc length = (75º / 360º) * (40π)

Simplifying the fraction:

Arc length = (5/24) * (40π)

Multiplying the fractions and simplifying further:

Arc length = (200π) / 24

Reducing the fraction:

Arc length = (25π) / 3

To know more about angle visit:

brainly.com/question/31818999

#SPJ11

To find the exact length of the arc on a circle, we can use the formula Arc length = (central angle in degrees / 360°) * (circumference of the circle)

Given:

Radius of the circle (r) = 20 feet

Central angle (θ) = 75°

First, we need to calculate the circumference of the circle using the formula:

Circumference = 2 * π * radius

Substituting the value of the radius:

Circumference = 2 * π * 20 feet

Circumference = 40π feet

Now, we can find the length of the arc:

Arc length = (75° / 360°) * (40π feet)

Arc length = (5/24) * (40π feet)

Arc length = (200π/24) feet

To simplify the expression, we can divide both the numerator and denominator by 4:

Arc length = (50π/6) feet

So, the exact length of the arc intercepted by a 75° central angle on a circle with a radius of 20 feet is (50π/6) feet.

To know more about intercepted visit-

brainly.com/question/30334132

#SPJ11

Debbie sat for 9 tests with a total score of 756, based on her average of 84 marks for all tests.

The average refers to the quotient of the total value divided by the number of data items.

The average is also known as the mean.

The total number of marks obtained in x tests = 504

The additional number of tests taken = 3

The total number of marks obtained in x + 3 tests = 756

The number of marks obtained in 3 tests = 252 (756 - 504)

The average marks obtained in the 3 tests = 84 (252 ÷ 3)

The average marks obtained in x tests = 84

x = 6 (504 ÷ 84)

Therefore, the total number of tests taken = x + 3 = 6 + 3 = 9.

Learn more about the average at https://brainly.com/question/20118982.

#SPJ1

Answer:1,750

Step-by-step explanation:

sorry if im wrong I tried

Answer:

2.133 g/cm³

Step-by-step explanation:

We are given;

Mass = 832 g

Length = 12 cm

Width = 6.5 cm

Height = 5 cm

Now, volume of a block is given by the formula; length × width × height = 12 × 6.5 × 5 = 390 cm³

Now, density = mass/volume

Thus; density = 832/390 = 2.133 g/cm³

Answer:

-30

Step-by-step explanation:

Simplifying:

2x + 30 = x

Reorder the terms:

30 + 2x = x

Solving:

30 + 2x = x

Solving for variable 'x'

Move all the terms containing x to the left, all the others to the right

Add '-1x' to each side of the equation

30 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x

30 + 1x = x + -1x

Combine like terms: x + -1x = 0

30 + 1x = 0

Add '-30' to each side of the equation

30 + -30 + 1x = 0 + -30

Combine like terms: 30 + -30 = 0

0 + 1x = 0 + - 30

1x = 0 + -30

Combine like terms: 0 + -30 = -30

1x = -30

Divide each side by '1'

x = -30

Simplifying:

x = -30

Hope this helps :)

Pls brainliest...

Answer:

9.73 × 10^-^1

Step-by-step explanation:

If we move the decimal over once to the left we will get 9.73 which now we need one more so we can put it as9.73 × 10^-^1

Bad things do happen to good people, is the story's central theme or premise.

H.H. Munro, a British novelist who wrote under the pen name Saki, examines the issues of pride, moral instruction, and inappropriate conduct for kids during the Edwardian era in his book "The Storyteller." In his short stories, Saki cherished satirizing upper society. Pride comes before a fall is the idea that the bachelor's story in "The Storyteller" best illustrates.

Thus, among the available possibilities, the third is the one that is correct. The "aunt," who struggles to give her nieces and nephews a tale that will amuse them while also imparting a valuable lesson, would be the story's protagonist. The aunt's tale has as its main message that doing kind often pays off.

Learn more about bachelor's story Visit: brainly.com/question/24694625

#SPJ4

The number of turns gear B will make is 8.25 turns

Given data

Gear A turns clockwise and has 54 teeth

Gear B turns counterclockwise and has 36 teeth

gear A makes 5.5 rotations

One of the gears is driving the other hence the distance covered by each of the gears is constant.

The distance is the product of the number of rotations and the number of teeth and this should be a constant

Therefore, let the number of rotations of gear B be x

54 teeth * 5.5 rotations = 36 teeth * x rotations

x rotations = ( 54 teeth * 5.5 rotations ) / 36 teeth

x rotations = 54/36 * 5.5

x rotations = 1.5 * 5.5

x rotations = 8.25

We can therefore say that gear B will make 8.25 rotations

Read more on rotation calculations here: https://brainly.com/question/13286537

#SPJ1

Answer C

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

Learn more about volume -

https://brainly.com/question/463363

#SPJ4

Answer:

independent: b

dependent: p

Step-by-step explanation:

p = 2b

To find p, choose values for b, then do the calculation.

b is independent. You can choose any value for it.

p is dependent since its value depends on the value you chose for b.

Answer:

19.90

Step-by-step explanation:

If wrong will post question and you can get points back

Amount of money he get in change is, $2.51

We have to given that;

Olivia buys a University of Florida sweatshirt that costs $37.49.

And, She pays with two $20 bills.

Hence, Amount of money he get in change is,

⇒ 2 x 20 - 37.49

⇒ $40 - $37.49

⇒ $2.51

Thus, Amount of money he get in change is, $2.51

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ1

Answer:

She catered for 40 people.

Step-by-step explanation:

According to the information given, you can write an equation that indicates that 30 people multiply for its cost that is $10 plus the number of people after 30 for its cost that is $9 is equal to $390. According to this, the equation is:

10(30)+9x= 390, where

x= number of people after 30

Then, you can solve for x:

300+9x= 390

9x=390-300

9x= 90

x=90/9

x=10

The answer is that she catered for 40 people, 30 people at a cost of $10 and 10 people for a cost of $9.

The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.

Given function: `g(u)

= u(2u - 3)^3`

To find the first derivative of the given function, we use the product rule of differentiation.`g(u)

= u(2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g'(u)

= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`

Using the chain rule of differentiation, we have:

`g'(u)

= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`

Simplifying:

`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

To find the second derivative, we differentiate the obtained expression for

`g'(u)`:`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g''(u)

= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`

Using the product rule and chain rule of differentiation, we have:

`g''(u)

= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`

Simplifying:

`g''(u)

= 12(u - 1)(2u - 3)^2`.

The first derivative of the function `g(u)

= u(2u - 3)^3` is `g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)

= 12(u - 1)(2u - 3)^2`.

To know more about derivative visit:

https://brainly.com/question/29144258

#SPJ11

The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

First, let's find the first derivative:

g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]

Using the chain rule, we can differentiate (2u - 3)³ and u as follows:

d(u)/du = 1

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

Plugging these values back into the equation for g'(u), we have:

g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2

= (2u - 3)³ + 6u(2u - 3)²

Simplifying the expression, we have:

g'(u) = (2u - 3)³ + 6u(2u - 3)²

Now, let's find the second derivative:

g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]

Using the chain rule and product rule, we can differentiate each term:

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]

= 6(2u - 3)² + 6u * 2(2u - 3)

Plugging these values back into the equation for g''(u), we have:

g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)

= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)

= 12(2u - 3)² + 12u(2u - 3)

Simplifying the expression further, we have:

g''(u) = 12(2u - 3)² + 12u(2u - 3)

Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

Learn more on differentiation : https://brainly.com/question/25081524

#SPJ4