Aabc is dilated by a factor of to produce aa'b'c!
28°
34
30
62
b
16
what is a'b, the length of ab after the dilation? what is the measure of a?

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

The probability of playing 4 games is 17/77 . To construct a discrete probability distribution for the random variable x, we need to calculate the probability of each possible outcome (games played) .

Assign it to its corresponding value. Given the frequency data provided, we can calculate the probabilities as follows: Total number of games played: 17 + 14 + 20 + 26 = 77. (a) Constructed discrete probability distribution: x (games played) | P(x); 4 | 17/77 ≈ 0.221; 5 | 14/77 ≈ 0.182; 6 | 20/77 ≈ 0.260 ; 7 | 26/77 ≈ 0.338. The discrete probability distribution table shows the values of x (games played) and their corresponding probabilities, which are calculated by dividing the frequency of each outcome by the total number of games played.

For example, the probability of playing 4 games is 17/77, approximately 0.221, since there were 17 instances of 4 games played out of the total of 77 games played. Similarly, the probabilities for playing 5, 6, and 7 games are calculated based on their respective frequencies and the total number of games played.

To learn more about probability click here: brainly.com/question/31828911

#SPJ11

Answer:

Value of X = 21

EAH = 63

HAC = 84

Step-by-step explanation:

Answer:

picture a is 180⁰ clockwise or counterclockwise (c)

picture b is 90⁰ counterclockwise (b)

Step-by-step explanation:

hope this helps :)

Answer:

A and B

Step-by-step explanation:

The first one is 180 clockwise…

Second picture is 90 counterwise.

I hope thi help and have a good day.

Answer: Pythagorean Theorem in 3 D

sqrt ( 3^2 + 4^2 + 2^2) =

sqrt ( 9 + 16 + 4) =

sqrt( 29) = 5.3852 approximately

Step-by-step explanation:

The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.

Width of the rectangle is 2.5, Length is 10 and perimeter is 25

Given

Length of rectangle is 5 greater than double of width

let us say width = w

According to the question length L = 5 + 2w

Perimeter is 10 times the width

P= 10w

we know that perimeter of a rectangle is 2(L+W)

Substituting the values in the formula we get

10w = 2(5+2w + w)

10w = 10 + 6w

w= 2.5

From this length L = 5+2(2.5)

                            L = 10

Perimeter P = 10W

P= 10(2.5)

P= 25

Hence the length is 10, width is 2.5 and perimeter is 25

Learn more about Rectangles at

https://brainly.com/question/15019502?referrer=searchResults

#SPJ1

(a) To show that the residuals are orthogonal to the fitted values, we start by substituting y^​=Xβ^​ into the equation: y^​t(y−y^​) Using the expression for y^​, we have: Xβ^​)t(y−Xβ^​) Expanding the expression, we get: (β^​tXt)(y−Xβ^​) Using the properties of matrix algebra, we can rewrite the expression as:

β^​tXt(y−Xβ^​) Next, we substitute the normal equations Xt(y−Xβ^​)=0:

β^​tXt(Xβ^​)

Simplifying further, we have:

β^​t(XtX)β^​

Since β^​ is a vector and β^​t(XtX)β^​ is a scalar, we can rewrite the expression as:

(β^​t(XtX)β^​)t

This is equivalent to:

(β^​t(XtX)β^​)

Since this expression represents a scalar, it is equal to its transpose. Therefore, we have shown that y^​t(y−y^​)=0, which means the residuals are orthogonal to the fitted values.

(b) To show that XtX is a symmetric matrix, we need to prove that it equals its transpose, (XtX)t.

We start by writing out the transpose of XtX:

(XtX)t = Xt(Xt)t

Using the property of matrix algebra, we know that (AB)t = BtAt, so we can rewrite the expression as:

XtX = Xt(Xt)

Since matrix multiplication is associative, we can simplify further:

XtX = (XtX)t

This shows that XtX is equal to its transpose, making it a symmetric matrix.

To show that (XtX)−1 is also symmetric, we utilize another property of matrix algebra, which states that if a matrix C has an inverse, then (C−1)t = (Ct)−1.

Since (XtX) is invertible (given that X is a full rank matrix), we can apply this property:

((XtX)−1)t = ((XtX)t)−1

Substituting the result from the previous step, we get:

((XtX)−1)t = (XtX)−1

This confirms that (XtX)−1 is symmetric as well.

Learn more about matrix algebra here: brainly.com/question/13047373

#SPJ11

\(\huge\underline\purple{Answer ☘}\)

\(4x {}^{2} + 3x + 5 = 0 \\ \\ dividing \: by \: 4... \\ \frac{4x {}^{2} }{4} + \frac{3x}{4} + \frac{5}{4} = 0 \\ x {}^{2} + \frac{3x}{4} + \frac{5}{4} = 0 \\ \\ we \: know \: that... \\ \: (a + b) {}^{2} = a {}^{2} + b {}^{2} + 2ab \\ \\ here... \\ 2ab = \frac{3x}{4} \\ = > 2xb = \frac{3x}{4} \: \: \: \: \: \: \: \: \: (a = x) \\ 2b = \frac{3}{4} \\ b = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} \)

\(x {}^{2} + \frac{3x}{4} + \frac{5}{4} = 0 \\ \\adding \: and \: subtracting \: (\frac{3}{8}){}^{2} \\ \\ x {}^{2} + \frac{3x}{4} + \frac{5}{4} + ( \frac{3}{8} ) {}^{2} { - ( \frac{3}{8} })^{2} = 0 \\ \\ x {}^{2} + \frac{3x}{4} + (\frac{3}{8} ) {}^{2} + \frac{5}{4} - ( \frac{3}{8} ) {}^{2} = 0 \\ \\ (x + \frac{3}{8} ) {}^{2} + \frac{5}{4 } - ( \frac{3}{8} ) {}^{2} = 0 \\ \\ (x + \frac{3}{8} ) {}^{2} = (\frac{3}{8} ) {}^{2} - \frac{5}{4} \\ \\ (x + \frac{3}{8} ) {}^{2} = \frac{9}{64} - \frac{5}{4} \\ \\ (x + \frac{3}{8} ) {}^{2} = \frac{9 - 5(16)}{64} \\ \\ (x + \frac{3}{8} ) {}^{2} = \frac{9 - 80}{64} \\ \\ (x + \frac{3}{8} ) {}^{2} = \frac{ - 71}{64} \)

ѕquαrє σf αnч numвєr cαn't вє nєgαtívє..

ѕσ.. αnѕwєr dσєѕ nσt єхíѕt~

hσpє hєlpful~

The roots of the equation are ±71/64i - 3/8.

The completing the square method is one of the methods of solving a quadratic equation. Now we have to solve the equation 4x^2 + 3x + 5 = 0 using this method.

First, we must divide through by 4 to have;

x^2 + 3/4x + 5/4 = 0

Next we add half of 3/4 to both sides after taking 5/4 to the RHS

(x + 3/8)^2 = -5/4 + (3/8)^2

(x + 3/8)^2 = -5/4 + 9/64

(x + 3/8)^2 = -80 + 9 /64

(x + 3/8)^2 =-71/64

x = √-71/64 - 3/8

x =  ±71/64i - 3/8

Learn more about completing the square: https://brainly.com/question/2055939

Answer:

The absolute value of 4 is just 4

Step-by-step explanation:

Answer:

The answer to your problem is, D. $13,564.80

Step-by-step explanation:

We know it took her 4 years to pay this amount. Let's solve for the total amount she paid including the interest.

12,560 x 0.02 = 251.2 per year

251.2 x 4 = 1004.8 dollars for 4 years.

1004.8 + 12,560 = 13,564.8 dollars.

Thus the answer to your problem is, D. $13,564.80

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

To learn more about surface area of cylinder link is here

brainly.com/question/22074027

#SPJ4

The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

Answer:

8.32*10^2 or

832.08

Step-by-step explanation:

Answer:

{ 62/45,19/9}

Step-by-step explanation:

Answer:

∠ GOF = 53°

Step-by-step explanation:

∠ LON and ∠ GOF are vertically opposite angles and are congruent, then

∠ GOF = 53°

Answer:

x = 12 and y = 60°

Step-by-step explanation:

As we can see it is parallelogram as the opposite sides are parallel

so,

y = 60° {opposite angles of a parallelogram are equal }

x + 3 = 15 (opposite sides of a parallelogram are equal)

x = 15 - 3

x = 12

Hope it will help :)❤

Answer:

800 feet, if you do 200x4 you you would get 800 feet

Step-by-step explanation:

200x4

Answer:

-11

Step-by-step explanation:

y2-y1/x2-x1

Take the y-value from the second pair of coordinates and subtract it from the first y-value, then do the same for the x-coordinates. Take the result from subtracting the y-values and put it over the result from subtracting the x-values. I got 11/-1, which is -11.

I hope this helps :)

Answer:

try -7

Step-by-step explanation:

In the marketing class of 50 students who evaluated their instructor using the given scale, the descriptive summary of the survey results indicated that the majority of students rated the instructor as either average or poor, with 45% in each category.

This suggests that the instructor's performance might not have been highly effective or satisfactory for most of the students. Meanwhile, a small percentage of students found the instructor to be good (8%) and even fewer rated them as superior (2%). No students rated the instructor as inferior.

Based on these findings, the conclusion can be drawn that the instructor's performance was perceived as predominantly average or poor by the class, indicating potential areas for improvement in their teaching approach or methods to better cater to students' needs and expectations.

To learn more about percentage  click here

brainly.com/question/16797504

#SPJ11

The upper bound for the remainder in the series Σ kat 546 is (273/2) * n^2.

To find an upper bound for the remainder in the given series, we can use an integral approximation. Since the terms of the series are all positive, we can use the integral test to estimate the remainder. Integrating the function f(x) = kat 546 over the interval [n, ∞] gives us F(x) = \((273/2) * x^2\). The integral approximation states that the remainder R(n) is less than or equal to the value of the integral from n to ∞. Therefore, \(R(n) ≤ (273/2) * n^2\). This provides an upper bound for the remainder in terms of n.

Using the integral test, we consider the function f(x) = kat 546, which is positive and continuous on [1, ∞]. Integrating f(x) with respect to x gives us\(F(x) = (273/2) * x^2\). By the integral approximation, the remainder R(n) is less than or equal to the integral of f(x) from n to ∞, which simplifies to \((273/2) * n^2.\)Therefore, the upper bound for the remainder in the given series is\((273/2) * n^2.\)

Learn more about Integrating here

https://brainly.com/question/31744185

#SPJ11

Answer:

f = 5

g = -3

Step-by-step explanation:

11f + 14g = 13        Q1

11f + 10g = 25       Q2

Q1 - Q2  =

4g = -12

g = -3

put it back in the equation

11f + 10g = 25

11f + 10 (-3) = 25

11f + -30 = 25

11f = 55

f = 5

Answer:

f = 5 , g = - 3

Step-by-step explanation:

11f + 14g = 13 → (1)

11f + 10g = 25 → (2)

subtract (2) from (1) term by term to eliminate f

(11f - 11f) + (14g - 10g) = 13 - 25

0 + 4g = - 12

4g = - 12 ( divide both sides by 4 )

g = - 3

substitute g = - 3 into either of the 2 equations and solve for f

substituting into (1)

11f + 14(- 3) = 13

11f - 42 = 13 ( add 42 to both sides )

11f = 55 ( divide both sides by 11 )

f = 5

solution is f = 5 , g = - 3

Answer:

The height difference is 1.44 feet

Step-by-step explanation:

8 feet (1 plant height) - 6.56 feet (1 plant height) = 1.44 feet (height difference)

A point is selected at random from the portion of the number line shown here. What is the probability that the point is closer to 4 than to 0?

The segment is marked in the figure and the length of the segment is $4 - 1 = 3$. The middle point of the segment is at $(1 + 4)/2 = 2.5.$ Now, we have to consider two cases.

If the selected point is between 0 and 2.5 (closer to 0), or if the selected point is between 2.5 and 4 (closer to 4).If the selected point is between 0 and 2.5,

then the distance between the point and 4 is $4 - x$, and the distance between the point and 0 is $x$. For $x$ to be closer to 0 than to 4, $$4 - x > x$$Thus, $$x < 2.$$

Therefore, the probability of selecting a point closer to 0 is the ratio of the length of the segment $AC$ to the length of the entire segment, $AB$: $$P(\text {closer to 0}) = \frac {2}{6} = \frac{1}{3}.$$

If the selected point is between 2.5 and 4, then the distance between the point and 4 is $x - 4$, and the distance between the point and 0 is $x - 0 = x$.

For $x$ to be closer to 4 than to 0,$$x - 4 < x$$Thus,$$x > 4.$$Therefore, the probability of selecting a point closer to 4 is the ratio of the length of the segment $CB$ to the length of the entire segment, $AB$:$$P(\text{closer to 4}) = \frac{1}{3}.$$

Hence, the required probability is the sum of the probabilities of the two cases:$$P(\text{closer to 4 than to 0}) = P(\text{closer to 4}) + P(\text{closer to 0})$$$$P(\text{closer to 4 than to 0}) = \frac{1}{3} + \frac{1}{3} = \boxed{\frac{2}{3}}.$$

Therefore, the required probability that the point is closer to 4 than to 0 is $\boxed{\frac{2}{3}}$ and the response is 250 words long.

To know more about probability, click here

https://brainly.com/question/31828911

#SPJ11

The null hypothesis (H0) when testing for normality is:

H0 states that the values are sampled from a population that follows a normal distribution.

When testing for normality, the null hypothesis (H0) assumes that the data in the sample is derived from a population that follows a normal distribution. In other words, it assumes that the underlying population from which the sample is taken is normally distributed.

The purpose of testing for normality is to assess whether the data deviates significantly from a normal distribution. By assuming the null hypothesis, we aim to determine whether there is enough evidence to reject it and conclude that the data does not follow a normal distribution.

The other statements provided in the answer choices are not directly related to the null hypothesis when testing for normality. Statements such as "there is not statistically significant difference between two samples" or "if the data is normal, we can be certain that the data in different samples are similar" are not specific to testing for normality.

The null hypothesis (H0) when testing for normality states that the values are sampled from a population that follows a normal distribution. This hypothesis is tested using various statistical tests and techniques to assess the normality assumption of the data.

To know more about null hypothesis, visit

https://brainly.com/question/4436370

#SPJ11

Answer:

1/4

Step-by-step explanation:

I assume the original H-shaped polygon is the one on the left, and the scaled copy is the smaller one on the right.

To find the scale factor, find a dimension in the original polygon and the corresponding dimension in the scaled copy. Then divide the dimension of the scaled copy by the corresponding dimension of the original one.

For example, use the upper width of the left rectangle of the H shape.

A) original polygon: 4 units

B) scaled polygon: 1 unit

scale factor = (1 unit)/(4 units) = 1/4

The scale factor is 1/4. That means that if you multiply every linear dimension of the original polygon by 1/4, you find the corresponding dimension in the scaled copy.

Answer: The scale factor is 1/4

The ordered pair (-2, 1) is not a solution

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

6x + 5y = -7

2x - 4y = -8

The ordered pair is given as

(-2, 1)

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

6(2) + 5(-1) = -7 == false

The above equation is false

Hence, the ordered pair is not a solution

Read more about equation at

https://brainly.com/question/13729904

#SPJ1

Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.

Recovered memory:

The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.

Repressed Memory:

Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.

Learn more about Even:

https://brainly.com/question/2289438

#SPJ4

From the given information in the dichotomous key, the relationship that can be determined is that organism Z is genetically closer to organism X than to organism Y.

This conclusion is drawn based on the statement that organism X and organism Z have at least one observable trait in common. It indicates a similarity between these two organisms. Additionally, the statement also mentions that organism Y has at least one observable trait in common with organisms X or Z, implying some level of similarity between organism Y and either organism X or organism Z.

Moreover, the key states that organism X is in a different phylum than organism Y, suggesting a taxonomic distinction between these two organisms.

Therefore, based on the information provided, the relationship that can be determined is that organism Z is genetically closer to organism X than to organism Y.

To know more about dichotomous key, visit:
brainly.com/question/30582413

#SPJ11

Answer:2

Step-by-step explanation:

4 x 2=8

7 x 2 = 14

Answer: The scale image of the parallelogram is 2

Step-by-step explanation:

Hello LeeLee

We first find the side lengths of both of the parallelograms. We find that Figure A's base is 7 while its side length is 4. We also find that Figure B's base is 14 while its side length is 8.

Now, let's scale both the parallelograms. 4/7 = 8/14, 4(2)/7(2) = 8/14,

8/14 = 8/14. This scale is correct, and the scale image is 2.

Hope this helps

Answer:

9/40

Step-by-step explanation:

3/5 - 3/8

24/40 - 15/40

= 9/40

( I hope this was helpful) >;D