given 12 points on a plane, no three of which are collinear, what is the number of lines that can run through any two of these points?

The volume of the solid cone obtained by rotating the region bounded by the line y=12x, y=0, and x=4 about the x-axis is 38603.89 [tex]unit^{3}[/tex]

We will calculate the volume in the following way,

Given lines are: x=4, y=0, y=12x

First, we make a triangle from the given equation and then rotate it along the x-axis to get the dimensions of the cone.

We, need to put x=4 and y=0 in y=12x to get all the vertices of the triangle.

Points are: (0, 0), (4, 0), and (4, 48).

Now, we rotate this triangle about the x-axis.

Thus, the radius of the cone(r)= 48 and the height of the cone(h)= 4.

Therefore, the formula for the volume of the cone (v)= [tex]\frac{4}{3}*(\pi *r^{2}*h )[/tex]

=[tex]\frac{4}{3} \pi*48^{2}*4[/tex]

=38603.89 [tex]units^3[/tex]

Therefore the volume obtained is 38603.89 [tex]unit^{3}[/tex]

Read more about the Volume of the solids revolution:

https://brainly.com/question/15829988

#SPJ4

Answer: 40%

Step-by-step explanation:

the pecentage of decrease is 40%

correct me if i'm wrong ;(

HOPE THIS HELPS

ok i can di it...... ..........

The solution is 28.3 m

The circumference of the circle whose radius is 4.5 m is 28.3 m

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the circumference of the circle be represented as C

Now , the equation will be

The diameter of the circle = 9 m

The radius of the circle r = d/2 = 4.5 m

And , the circumference of the circle C = 2πr

Substituting the values in the equation , we get

Circumference of the circle C = 2 x 3.142 x 4.5

Circumference of the circle C = 28.278 m

Therefore , the value of C is 28.3 m

Hence , the circumference of the circle is 28.3 m

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

Answer:

Indentify a pair of segments that are marked perpendicular to each other on the diagram below

Step-by-step explanation:

OQ

Answer:

Marsha earn $1350.

Step-by-step explanation:

So,

9000 × 5 × 3 ÷ 100

135000/100

$1350

Thus, Marsha earn $1350.

As per the Pythagoras theorem, the number of feet along the ground from the tent pole to the rope is 8 feet.

Here we have given that A 15-foot tall tent pole incurred to the ground using a piece of rope 17 feet long that goes from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground,

And we need to determine the number of feet along the ground from the tent pole to the rope.

AS per the given data, here we have consider that the pole makes 90° with the ground and is supported by a rope.

And for the clear observation, here we can realize that the pole, rope and ground form a right-angled triangle, where

The value of Hypotenuse (h) = length of rope = 17 feet

And the Side 1 (p) = length of tent pole = 15 feet

Then the Side 2 (b) = distance between pole and rope along the ground

Now, we have to applying the Pythagorean theorem, the following equation is obtained:

=> h² = p² + b²

Then we have to apply the values on it, then we get

=> 17² = 15² + b²

=> b² = 289 - 225

Therefore, the value of is calculated as,

=> b = √64

=> b = 8 feet

Therefore the distance between the tent pole and the rope along the ground is 8 feet.

To know more about Pythagoras theorem here.

https://brainly.com/question/343682

#SPJ4

Answer: 5

Step-by-step explanation:

(5^2) - (4 x 5)

When the point N is dilated, the coordinate of N changes to N' ,the coordinate of point N is (8,12).

What is dilation?

In arithmetic, a dilation may be a perform f from a mathematical space M into itself that satisfies the identity d=rd for all points x, y \in M, wherever d is that the distance from x to y and r is a few positive imaginary number.

Main body;

How to determine the coordinate of N

The given parameters are:

N' = (10,15)

k = 5/4

To calculate the coordinate of N, we make use of:

N * k = N'

So, we have:

N * 5/4 = (10,15)

Multiply both sides by 4

N * 5 = (40,60)

Divide both sides by 5

N = (8,12)

Hence, the coordinate of point N is (8,12)

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

Answer: 360

Step-by-step explanation:

Answer is 360 degrees

a parallelogram can be divided into two triangles

The Sum of the angles of each triangle is 180°

2 x 180 =360

Answer:

360

Step-by-step explanation:

Formula to find the sum of angles of any shape

(n-2)x180

(4-2)x180

2x180=360

Hence the sum of angles of a parallelogram is 360

Answer:

x = 90 Tan 50

107.1

Step-by-step explanation:

Adjacent = 90

Height of the tree(opposite) = x

so what connects adjacent and opposite is TOA

Tanθ = opposite /Adjacent

Tan 50° = x/90

cross multiply

x = 90 Tan 50°

x = 90 × 1.19

x = 107.1m

:- the height of the tree is 107.1m

pls rate as brainliest

The probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05.

The distribution of backpack with mean deviation = 19.7 pounds

And the standard deviation = 3.1 pounds

According to this question,

He normal probability distribution and the central limit theorem were used.

Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.

Mean standard deviation, the z-score of a measure X is given by:

Z = x-μ/σ

The Z-score measures how many standard deviations. the measure is from the mean.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.

This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Subtracting 1 by the p value,

We get the value probability that of the measure is greater than X.

Central Limit Theorem;  The Central Limit Theorem establishes  that, for a normally distributed random variable X, with mean  and standard deviation the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For samples of size 5, which of the following is the best interpretation of P(ä > 22) = 0.05

No matter the size of the sample mean will be the same.

However, the standard deviation will be changed.

P(ä > 22) is the probability of the sample means being above 22.

For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

For more information about standard mean and deviation:

https://brainly.com/question/28108712

#SPJ4

Answer:

y = 4x + 1

Step-by-step explanation:

4x - y = 2 => y = 4x - 2

So slope of the above equation is 4.

Parallel lines should have the same slope

Given m = 4, y = -3, x = -1

y = mx + b

-3 = 4(-1) + b

-3 = -4 + b

b = 1

so y = 4x + 1

Micah's best long jump is 3 meters long.

In this question we have been given Avi and Micah are teammates on a track and field team.

We need to find the how long is Micah's best long jump.

Let Micah's best long jump is x meters and Avi's  best long jump is y meters.

Avi's best long jump is 3 1/2 meters.

⇒ y = 3 1/2 meters

We write this improper fraction as proper fraction.

3 1/2 = 7/2

Also, Avi's best long jump is 1 1/6 times as long as Micah's.

So, we get an equation

y = (1 1/6) * x

We write improper fraction 1 1/6 as 7/6

So equation becomes,

y = 7/6 * x

Subatitute the value of y

7/2 = 7/6  * x

x = (7/2)/(7/6)

x = 6/2

x = 3 meters

Therefore, Micah's jump is 3 meters long.

Learn more about the fraction here:

https://brainly.com/question/8969674

#SPJ4

Answer:

It seems that you are describing a geometric transformation in which triangle WXY is rotated to form triangle W'X'Y'. The correct statement describing this transformation is: "WXY right-arrow W'X'Y'". In this transformation, the triangle is rotated in some way, resulting in the new triangle W'X'Y'.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.

Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs.  First you have to divide by 3 on both sides.

Therefore, Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.

Answer:

D: 3/11

Step-by-step explanation:

3/11 is equal to .2727272727 which is known as a repeating decimal as it is never-ending.

3/5 = .6

3/8 = .375

3/10 = .3

Answer:

4

Step-by-step explanation:

x + 8 = 12

Subtract 8 from both sides :

x = 12 - 8

x = 4

Hope this helped and have a good day

Answer:

-12/3

Step-by-step explanation:

the slope of a linear equation is defined as

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y is the output so in this case, the y's would be f(n) on the chart

x is the input so in this case the x's would be n on the chart

to keep things simple ill use the first 2 columns of the chart, which give the (x,y) pairs (-3,15) and (0,3)

Simply plug these x's and y's into the above equation to get the slope

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\\frac{3 -15 }{0--3 }\\\frac{-12}{3} \\[/tex]

The correct answer is a. margin of error.

The margin of error is a measure of the precision of a survey or poll. It represents the range of values within which the true value of the population parameter being measured is likely to fall, based on the sample data collected. A smaller margin of error indicates a higher level of precision and a more reliable estimate of the population parameter. In general, a margin of error of less than +/- 5 is considered to be a good benchmark for a reliable public opinion poll.

The modal response is the most common response to a survey question. The sample size is the number of people included in the survey. Standard deviation is a measure of the dispersion of a set of data. Self-selection bias refers to the possibility that the people who choose to participate in a survey are not representative of the entire population being studied.

To know more about the Margin of error visit :

https://brainly.com/question/10501147?referrer=searchResults

#SPJ4

The proof is explained below

A column proof is a logical argument that is presented in an organized manner. Every two-column proof has exactly two columns. One column represents our statements or conclusions and the other lists our reasons. In other words, the left-hand side represents our “if-then” statements, and the right-hand side explains.

     Statements                                  Reasons

1) ΔABC & ΔDCB are right                  ∠B =∠C =90°

angle triangle

2) AC=DB                                              Given

3) BC is common                                 Given

to both ΔABC & ΔDCB

4)  By SAS property ΔABC≅ΔDCB          ∠B =∠C =90° , BC is common,                          

                                                                       and AC = DB

5) AB=DC                                                 By CPCT theorem

Hence, proved via two column proof.

Learn more about two column proof:

https://brainly.com/question/29047207

#SPJ1

In a regression analysis, the error term ε is a random variable with a mean or expected value of zero.

The model used in regression analysis is known as the regression model it is used to estimate the relationships between a dependent variable and one or more independent variables.

It helps us to find the strength between two given relations thus determining whether a plan is correct or not. It helps us to make plans based on certain reports .

Another way of analyzing things is by using multiple regression analysis, it can be used to assess the connection between a dependent variable and two or more independent variables. For example, you may assess the relationship between a person's income and their experience, education, and geographic area.

To learn more about regression analysis

brainly.com/question/28178214

#SPJ4

Answer:

-6

Step-by-step explanation:

Do whats in the parentheses first (3-5=-2)

so you have 3(-2), and that equals -6

Answer:

Step-by-step explanation:

3(x - 5) when x = 3

Substitute x with 3:-

[tex]\tt 3\left((3)-5\right)[/tex]

[tex]\tt 3\left(-2\right)[/tex]

[tex]\tt -6[/tex]

Therefore, your answer is -6!

______________________

Hope this helps you!

Have a nice day!

The required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total sample space = 4 × 6 = 24
Favorable event  = (2, 2) = 1
The probability that the spinner and number cube both lands on number 2,
= favorable outcome/sample space
= 1 / 24

Thus, the required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

Below

Step-by-step explanation:

"The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic."

v is dependent variable (see the quote above)

     c is independent

Answer:

Below

Step-by-step explanation:

D / 5.2 = 2.4        multiply both sides of the equation by 5.2 to get

D = 12.48

Answer:

w < 65 is the correct inequality.

Answer:

Here are 5 ordered pairs whose first and second coordinates are equal:

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

If we plot these points and connect them, we get a straight line that runs from the bottom left to the top right of the coordinate plane. This line is called the "diagonal" of the coordinate plane and it divides the plane into 4 quadrants.

The figure that we get lies in all 4 quadrants of the coordinate plane. The top right and bottom left quadrants are the "positive" quadrants, where both the x- and y-coordinates are positive. The top left and bottom right quadrants are the "negative" quadrants, where both the x- and y-coordinates are negative.

Answer:

the length is 15

Step-by-step explanation:

So the height of the pole(Opposite) = 9m

The steel wire fixed to the ground(Adjacent) = 12m

the length( Hypotenuse) = ?

using the formula

Hyp² = opp² + Adj²

Hyp² = 9² + 12²

Hyp² = 81 + 144

Hyp² = 225

Hyp = √225

Hyp = 15

i hope this helps

The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.

This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday

America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.

Learn more about Christmas in:

https://brainly.com/question/25861763

#SPJ1

The probability the card is red, given that it is a face card is 1/2 and  the probability the card is a king, given that it is a face card is 1/3.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

A card is drawn from a standard 52-card deck (no jokers).

We have to match each event with its probability.

Since, a deck of cards contains the face cards J, Q, and K.

Let's say there are four different kinds of cards: spades, clubs, hearts, and diamonds.

King, Queen, and Jack are contained in each of these types.

Thus, the total number of face cards is 12 (3 x 4).

(1)  Let the face cards are 12 and there are 6 red cards in that 12 face cards.

So, the probability the card is red, given that it is a face card is

= 6/12 = 1/2.

(2)  There are 4 king in a 12 face cards.

So, the probability the card is a king, given that it is a face card

= 4/12 = 1/3.

Hence the probability the card is red, given that it is a face card is 1/2 and  the probability the card is a king, given that it is a face card is 1/3.

To know more about probability, click on the link

https://brainly.com/question/24756209

#SPJ1