Answer this questions like A......... B........ C......

Quadrilateral is dilated by a factor of 2 to create quadrilateral .
(A) What is the mapping rule for this transformation?
(B) Use the mapping rule to determine the coordinates of .
(C) Plot the coordinates of quadrilateral on the coordinate grid?

Answer:

5x³ + 5x² - 55x - 15

Step-by-step explanation:

simplify the expression:

5(x − 3)(x² + 4x + 1)

use the distributive property to multiply 5 by x-3

(5x - 15) (x² + 4x + 1)

Use the distributive property to multiply 5x−15 by x² +4x+1 and combine like terms

5x³ + 5x² - 55x - 15

================

Answer:

5x3+5x2−55x−15

Step-by-step explanation:

5(x−3)(x2+4x+1)

=(5(x−3))(x2+4x+1)

=(5(x−3))(x2)+(5(x−3))(4x)+(5(x−3))(1)

=5x3−15x2+20x2−60x+5x−15

=5x3+5x2−55x−15

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

There is no evidence that adult Atlantic bluefin tuna weigh more than 800 lbs, on average.

The p-value represents the probability of obtaining a sample result as extreme as the one observed, assuming the null hypothesis is true.

In this case, the null hypothesis states that the average weight of adult Atlantic bluefin tuna is 800 lbs.

A p-value of 0.112 means that there is a 11.2% chance of observing a sample mean weight of 825 lbs or higher, assuming the true population mean is 800 lbs.

Since the p-value is greater than the commonly used significance level of 0.05, we do not have enough evidence to reject the null hypothesis.

Therefore, we cannot conclude that adult Atlantic bluefin tuna weigh more than 800 lbs, on average, based on the findings so far.

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(1) Frames covered with shade cloth mean = 1.71 and standard deviation = 0.401

(2) control pvc frames only mean = 19.26 and standard deviation = 0.536

(3) warmer (pvc frames covered with plastic) mean = 2.08 and standard deviation = 0.774.

(1) Using the cooler mean and SD:

The calculations are shown in the table below:

\(\begin{array}{lll} & \mathrm{X} & (\mathrm{X} \text {-mean })^{2} \\& 1.59 & 0.0144 \\& 1.43 & 0.0784 \\& 1.88 & 0.0289 \\& 1.26 & 0.2025 \\& 1.91 & 0.04 \\& 1.86 & 0.0225 \\& 1.9 & 0.0361 \\& 1.57 & 0.0196 \\& 1.79 & 0.0064 \\& 1.72 & 0.0001 \\& 2.41 & 0.49 \\& 2.34 & 0.3969 \\& 0.83 & 0.7744 \\& 1.34 & 0.1369 \\& 1.76 & 0.0025 \\\text { Total } & 25.59 & 2.2496\end{array}\)

Sample size

\($$n=15$$\)

Sample sum:

\($$\sum x=25.59$$\)

Sample mean:

\($$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=25.59 / 15 \\&=1.71\end{aligned}$$\)

Sample standard deviation:

\(\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.2496 /(15-1)) \\&=0.401\end{aligned}\)

(2) Using the control mean and SD:

The calculations are shown in the table below:

\(\begin{array}{lll} & \mathrm{X} & (\mathrm{X}-\text { mean })^{2} \\& 1.92 & 0.0289 \\& 2 & 0.0625 \\& 2.19 & 0.1936 \\& 1.12 & 0.3969 \\& 1.78 & 0.0009 \\& 1.84 & 0.0081 \\& 2.45 & 0.49 \\& 2.03 & 0.0784 \\& 1.52 & 0.0529 \\& 0.51 & 1.5376 \\& 1.9 & 0.0225 \\\text { Total } & 19.26 & 2.8723\end{array}\)

Sample size:

\($$n=11$$\)

Sample sum:

\($$\sum x=19.26$$\)

Sample mean:

\(\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.8723 /(11-1)) \\&=0.536\end{aligned}\)

(3) Assuming a warmer mean and SD:

The calculations are shown in the table below:

\($\begin{array}{lll} & \mathrm{X} & (\text { X-mean })^{2} \\ & 2.57 & 0.3969 \\ & 2.6 & 0.4356 \\ & 1.93 & 0.0001 \\ & 1.58 & 0.1296 \\ & 2.3 & 0.1296 \\ & 0.84 & 1.21 \\ & 2.65 & 0.5041 \\ & 0.14 & 3.24 \\ & 2.74 & 0.64 \\ & 2.53 & 0.3481 \\ & 2.13 & 0.0361 \\ & 2.86 & 0.8464 \\ & 2.31 & 0.1369 \\ & 1.91 & 0.0009 \\ \text { Total } & 29.09 & 8.0543\end{array}$\)

Sample size:

\($n=14$\)

Sample sum:

\($$\sum x=29.09$$\)

Sample mean:

\($$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=29.09 / 14 \\&=2.08\end{aligned}$$\)

Sample standard deviation:

\(s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(7.7883 /(14-1)) \\&\)

  \(=0.774\)

Hence, these are the different samples of mean and standard deviation.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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The probability that a student lives within 3 miles of the school is 75%, and the probability that a student who lives within 3 miles walks to school is 20%. We can find the probability that a student both lives within 3 miles and walks to school by multiplying these probabilities:

0.75 x 0.20 = 0.15

Therefore, the probability that a student lives within 3 miles and walks to school is 0.15 or 15%.

Answer:

0.15  or   15%

Step-by-step explanation:

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

Answer:

Step-by-step explanation:

4x^2+120x

4x^2+120x=0

4x^2=-120x

4x^2/x=-120

4x=-120

x=-120/4

x=-30

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(y=3x+7\)

As we know that  the slope-intercept of the line equation is

\(y = mx+b\)

where m is the slope and b is the y-intercept

so comparing the equation \(y=3x+7\) with the slope-intercept of the line equation, we conclude that

\(y = 3x+7\)

\(m = 3\)

So, the slope of the line is \(m = 3\)

As the function is

\(y = 3x+7\)

Now, if we double the slope,

The slope will become: 2m = 2(3) = 6

Therefore, the function of the graph after doubling the slope will become:

\(y = 6x+7\)

The proportion of a normal distribution between z-scores of -0.25 and +0.25 is 0.1974, between -0.67 and +0.67 is 0.4994, and between -1.20 and +1.20 is 0.7699.

The normal distribution is a bell-shaped curve that is symmetrical about the mean. The area under the curve is equal to 1 and the z-score represents the standard deviations from the mean

a) The proportion of a normal distribution between z = -0.25 and z = +0.25 is 0.1974.
b) The proportion of a normal distribution between z = -0.67 and z = +0.67 is 0.4994.
c) The proportion of a normal distribution between z = -1.20 and z = +1.20 is 0.7699.

These proportions can be found by using a calculator with normal distribution functions.

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Answer:

X

Step-by-step explanation:

Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side

So, for 20/22; 20

is the opposite while 22 is the adjacent

The opposite side simply refers to the side that faces the given angle

We have the opposite side here as facing the angle X and that makes X the correct answer

The number of days that the race lasted is five days and the correct formula is 1/16(4^5 - 1)/4 - 1. Option B

Geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed non-zero number called the common ratio. In other words, each term is a constant multiple of the term that precedes it. The first term in the sequence is denoted by "a" and the common ratio is denoted by "r".

The common difference of the progression is;

1/4/1/16 = 1/4 * 16/1 = 4

Using the formula

a(r^n -1)/r - 1

1/16(4^5 - 1)/4 - 1

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In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.

To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.

Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:

Bearing of A from C = 50° + 180° = 230°

Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

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Complete question -

Answer:

C

Step-by-step explanation:

The inequality says greater than or equal to 8, which means the first two are automatically ruled out because they are both less than/equal to.

Then look at C and D, D starts at 3 and C starts at 8 so the answer should be C

Answer:

\(7^{8}\)

Step-by-step explanation:

When you multiply exponential numbers with the same base number, you have to add the exponents. So add 2 and 6 because the numbers share 7 as base.

please give brainliest if it helped:)

Answer:

57 degrees it’s an equalaterisl triangle all angles are the same on these types of triangles

Step-by-step explanation:

The graph of an equation is the collection of all of its solution points.

Consider the function y=f(x). All the ordered pair ( a, b) such that b=f(a) is called the graph of the equation.

The solution set consists of all points whose y-coordinate is greater than or equal to 1.

These points are contained in the shaded region in the graph below. This kind of region is called a half-plane because it is one of two parts of the plane into which a boundary line divides it.

Therefore, the set of all solution points of an equation is the graph of the equation.

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Answer:

13, 19, 73, 89

Step-by-step explanation:

Prime numbers only have two factors, 1 and itself.

Answer:

13, 19, 73, 89

Step-by-step explanation:

The website for Company A receives significantly more visitors per year than the website for Company B.

The number of visitors to Company A's website is 8 x 106 visitors per year, and the number of visitors to Company B's website is 4 x 102 visitors per year. We need to compare the two numbers in the same units.

First, let's convert the number of visitors to Company B's website to millions of visitors. We can do this by dividing the number by 106:

4 x 102 visitors / 106 visitors/million = 4 / 106 million visitors = 4 x 10-4 million visitors

Next, we divide the number of visitors to Company A's website by the number of visitors to Company B's website:

8 x 106 visitors / 4 x 10-4 million visitors = 8 / 4 x 10-4 = 2 x 104 = 200,000

So, the website for Company A receives 200,000 times more visitors per year than the website for Company B. This means that for every visitor to Company B's website, there are 200,000 visitors to Company A's website.

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The cost per pound is less in the first one. Hence price -wise, the first deal is better.

The pound or pound-mass is the unit of mass used in common British, Imperial and American measurement systems. Various definitions are used; the most common today is the international pound, legally defined as 0.45359237 kilograms, divided into 16 pound ounces. The international standard symbol for the avoirdupois pound is lb; another symbol is lbm.

The kilogram  is a unit of mass in the International System of Units (SI) with the unit symbol kg. It is a unit of measurement widely used in science, engineering, and business around the world and is often abbreviated colloquially as kilogram. It means "kilogram".

kilograms are defined in terms of seconds and meters, both based on fundamental physical constants. This allows properly equipped metrology laboratories to calibrate mass-measuring instruments, such as Kibble balances, as the primary standard for determining exact masses in kilograms.

Given that:

1 pound of apples = 2.15

3 Pound of apple = 5.76.

From this we can say that the 3 pound of apple is a better deal than the first one.

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Answer:

f(3) = 6

Step-by-step explanation:

F(3)=-(3)2+4(3)

f(3) = -6 + 12

f(3) = 6

Answer:

Step-by-step explanation:

When doing synthetic division, if the remainder is zero, we know that the divisor is a root of the polynomial.  If the remainder is not zero, the remainder is the function vaue for that divisor.

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

A perfect square is a number that is gotten by multiplying it by itself.

An example of a perfect square is 25 and one that is not is 7.

A square number, sometimes known as a perfect square, is an integer that is the square of another integer; in other words, it is the product of another integer and itself. For instance, 9 is a square number since it equals 3² and may be expressed as 3 × 3.

A perfect square is a number that can be written as the product of two integers or as an integer's second exponent. 25 is a perfect square because it is the product of the integer 5 and itself, 5 × 5 = 25. A perfect square is a positive integer formed by multiplying an integer by itself.

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The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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Answer:

Step-by-step explanation:

explain what ? what is the question here ?

to find the intersecting point of both lines ?

if that is the case, then please consider that an intersection point is a point, where both equations deliver the same coordinates. it is the same point for both of them.

in other words, the question is for what pair of (x, y) are both equations true (their left and right sides are equal).

we do this by finding a way to express one variable by an expression in the other variable, and then use that identity in one of the equations to solve for the remaining variable. and then we use that in the other equation to solve for the first variable.

line b gives us such an identity right away.

y = (-1/2)x + 6

we can use that in the line a equation :

2x - ((-1/2)x + 6) = 7

2x + (1/2)x - 6 = 7

2x + (1/2)x = 13

(4/2 + 1/2)x = 13

(5/2)x = 13

5x = 26

x = 26/5 = 5.2

y = (-1/2)×5.2 + 6 = -2.6 + 6 = 3.4

The bearing of an object is the angle of its position to a reference point. It can be determined by considering the clockwise sum of angles starting from the North pole. Thus, the bearing of the buoy to the boat is    \(177^{o}\).

The speed of an object is defined as the rate of distance covered with respect to the time taken.

speed = \(\frac{distance covered}{time taken}\)

Thus, the first distance covered is given by:

Distance covered = speed x time taken

                              = 12 km/h x 2 h

                              = 24 km

The second distance covered is given as:

Distance covered = speed x time taken

                              = 16 km/h x 1 h

                              = 16 km

Applying the Cosine rule to determine distance from the boat to buoy, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2abCos C

But, C = \(50^{o}\) + \(60^{o}\)

          =      \(110^{o}\)

\(c^{2}\)  = \((16)^{2}\) + \((24)^{2}\) - 2(16)(24) Cos \(110^{o}\)

   = 256 + 576 - 768(-0.3420)

  = 832 + 262.656

\(c^{2}\) = 1094.656

c = \(\sqrt{1094.656}\)

c  = 33.0856

c = 33.0 km

Apply the Sine rule to determine the angle at the stopping point of the boat;

\(\frac{b}{Sin B}\) = \(\frac{c}{Sin C}\)

\(\frac{24}{Sin B}\) = \(\frac{33}{Sin 110}\)

Sin B = \(\frac{24*Sin 110}{33}\)

         = 0.6834

B = 43.11

B = \(43^{o}\)

The angle made at the stopping point to the buoy is  \(43^{o}\).

So that,

The bearing of the buoy from the boat = \(180^{o}\)- \(3^{o}\)

                                                                 =  \(177^{o}\)

Therefore, the required bearing of the buoy to the boat is   \(177^{o}\).

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The bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.



The speed of an object is defined as the rate of distance covered to the time taken.

speed = Distance / time

Thus, the first distance covered is given by:

Distance covered = speed x time taken

                              = 12 km/h x 2 h

                              = 24 km

The second distance covered is given as:

Distance covered = speed x time taken

                             = 16 km/h x 1 h

                             = 16 km

Applying the Cosine rule to determine the distance from the boat to buoy, we have:

c² = a² + b² - 2abCos C

   = ( 16 )²  + ( 24 )² -2(16)(24)Cos110

   = 256 + 576 - 768(-0.3420)

   = 832 + 262.656

   = 1094.656

c² = 1094.656

c= √1094.656

c = 33.10 Km

Apply the Sine rule to determine the angle at the stopping point of the boat;

\(\dfrac{b}{SinB}=\dfrac{c}{SinC}\)

\(\dfrac{24}{SinB}=\dfrac{33}{Sin110}\)

Sin B = \(\dfrac{24\times Sin110}{33}\)

B = 43.11°

The angle made at the stopping point to the buoy is 43.11°  .

So that,The bearing of the buoy from the boat = 180 - 3 = 117°

Therefore the bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.



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Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.

Given that;

First, we determine the mark price.

Since the Furniture Store marks up all furniture by 45%.

Mark up price = mark up × purchase price

Mark up price = 45% × $113.00

Mark up price = 0.45 × $113.00

Mark up price = $50.85

Now, the selling price will be;

Selling price = Purchase price + mark up price

Selling price = $113.00 + $50.85

Selling price = $163.85

Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.

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A grouped frequency distribution is the name given to the data presentation in Exercise 2 when it is altered by classifying the data. The lower class limit is 80 and the upper class limit is 89 if one class in such a distribution ranges from 80 to 89.

What is the formula for grouped frequency distribution?

What is the clustered frequency distribution formula?

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The complete question is -

If the data presentation in Exercise 2 is varied by organizing the data into classes, the data presentation is called a ______________. If one class in such a distribution is 80-89, the lower class limit is 80 and the upper class limit is 89.

The number 20 represents the common difference of the arithmetic sequence. Each subsequent term in the sequence would be obtained by adding 20 to the previous term.

In this case, the first term, a_1, is equal to 3, and the fifth term, a_5, is equal to 23. By subtracting the first term from the fifth term, we can determine the common difference.

a_5 - a_1 = 23 - 3 = 20

The difference between the fifth term and the first term is 20. Therefore, the number 20 represents the common difference of the arithmetic sequence. Each subsequent term in the sequence would be obtained by adding 20 to the previous term.

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