Help please
Rotation
Translation
Reflection

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

Read more on midpoint here: brainly.com/question/17918978

#SPJ2

There are 73,440 ways can the singers finish first through fourth​.

A way, especially one of several possible variations, in which a set or number of things can be ordered or arranged.

Given that, There are 18 finalists in a singing competition. The top four singers receive prizes.

In this case, the order is required, so we'll use permutation here. You need to pick 4 out of 18.

\(^{n} P_{r}\) = n!/(n-r)!

n = 18 and r = 4

18P4 = 18!/(18-4)!

= 18!/14!

= 73,440

Hence, there are 73,440 ways possible.

For more references on permutation, click;

https://brainly.com/question/1216161

#SPJ1

The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.

What is the probability?

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

Total Number of Guests which forms the Sample Space, n(S)=80

Let the event (a friend of the bride) =A

Let the event (a friend of the groom) =B

n(A) =59

n(B)=50

Friends of both bride and groom,

So,

n(A∪B)=n(A)+n(B)-n(A∩B)

n(A∪B)=59+50-30

n(A∪B)=79

The number of Guests who was a friend of the bride OR of the groom = 79

Thus,

P(A∪B)=n(A∩B)/n(S)

= 79/80

= 0.9875

Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

To learn more about the probability visit:

brainly.com/question/11234923.

#SPJ4

The perimeter if a square is 60 feet, then find the length of the diagonal. If necessary, round to the nearest tenth.

Square

Perimeter = s*4

s= side

Digonal^2 = s^2 + s^2

Diagonal = √(2s*^2) (I)

_____________________

Can you see the updates?

_____________________

Perimeter = s*4

60 = s*4

s = 60/ 4

s= 15

_________________

Replacing in ( I )

Diagonal = √(2s*^2)

= √(2* ( (15)*^2) )

= √2* 225

= 15√2

= 21.21

_______________________

Answer

a). 21.2

Answer:

100 ft

Step-by-step explanation:

1 yd = 3 ft

Gena: 12 yd= 36 ft

Alicia: 10 yd and 4 ft= 34 ft

Lyona: about 10 yd= 30 ft

36 + 34 + 30 = 100

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

Learn more about union of sets on:

brainly.com/question/2166579

#SPJ1

Answer:

the answer to the problem is b

Answer:

x = 40

Step-by-step explanation:

Measure of an external angle of a circle = ½(difference of the intercepted arcs)

This means that:

½(PQ - RS) = m<T

m<T = x/2

PQ = (x + 70)°

RS = (x + 30)°

Plug in the values

½((x + 70) - (x + 30)) = x/2

½(x + 70 - x - 30) = x/2

½(x - x + 70 - 30) = x/2

½(0 + 40) = x/2

½(40) = x/2

20 = x/2

Multiply both sides by 2

20*2 = x

40 = x

x = 40

The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

Given is the function as -

f(x) = (x - 3)²

{ 1 } -

The domain of the function f(x) = (x - 3)².

The function has no undefined points. So, we can write the domain as -

Domain → (- ∞ , + ∞)

{ 2 } -

The inverse of the function f(x) = (x - 3)².

We have -

f(x) = (x - 3)²

y = (x - 3)²

x = (y - 3)²

y - 3 = √x

y = 3 + √x

Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

To solve more questions on domain of function, visit the link below

brainly.com/question/29014197

#SPJ1

Answer:

Difference, D = 40

Step-by-step explanation:

This question requires options. Since there's none, I'll answer generally.

Represent the distances with d1 and d2

d1 = 527 Meters

d2 = 487 Meters

Required

Determine the absolute difference

The absolute difference (D) of the given distances can be calculated using the following expression

D = |d1 - d2|

Substitute values for d1 and d2

D = |527−487|

D =|40|

D = 40

Hence, Twyla traveled 40 meters.

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

Learn more about speed here: brainly.com/question/7359669

#SPJ1

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

To know more about interest visit:

https://brainly.com/question/29185625

#SPJ1

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ1

Answer:

x = 1

Step-by-step explanation:

3 (x + 1) = -2 (x - 1) + 6

Expand the brackets on both sides.

3x + 3 = -2x + 2 + 6

3x + 3 = -2x + 8

Solve for x.

3x + 2x = 8 - 3

5x = 5

x = 1

Hope this helped!

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

For more such questions on Parameters

https://brainly.com/question/29673432

#SPJ8

Answer:

27

Step-by-step explanation:

Answer:

18Πin3

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

<95141404393>

Answer:

$54000

Step-by-step explanation: 3780 divided by the number of years he paid interest for, (6) gives you 630. If he pays 7% interest, you calculate what number 630 is 7% of (9000.) Therefore he takes out 9000 dollars a year. Meaning that in total, he borrowed 54,000 dollars. (9000 x 6)

Answer:

If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?

then the answer is 5/32

Step-by-step explanation:

The point shown on the graph is

(4, -5, 6)

An ordered triplet of lines (the axes) that are pair-wise perpendicular and pass through the same point (the origin) make up a Cartesian coordinate system for a three-dimensional space.

Each axis also has an orientation, and the length of all three axes is equal.

In ordered triplet, the order of the axis is (x, y, z)

z is vertical up positive and down negative

y is horizontal right is positive and left is negative

x is the axis pointing to us which is positive pointing away is negative

Using this information, to trace the point shows that the point marked by a dot is  (4, -5, 6).

Learn more about ordered triplet at:

https://brainly.com/question/29601205

#SPJ1

Answer:

5:6

Step-by-step explanation:

when adding the two probabilities together, they should equal 6:6. So, 5:6 is the odds of winning.

The probability is the ratio of the favorable event to the total number of events. Then the probability that Bucksnot will win the race is 5/6.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The odds against the horse Bucksnot winning the race are 1:6.

Then the probability that Bucksnot will win the race will be

\(\rm P = 1 - \dfrac{1}{6}\\\\P = \dfrac{5}{6}\)

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can check your answer in 1 step.

We need to find how much they earn if they worked 37 hours at a rate of 26 dollars per hour.

We can mutliply to figure this out:

\(37*26=962\)

Therefore, yes, your answer is correct!

Cheers!

Answer:

$26=1hr

x   =37hr

$26 x 37=$ 962

Step-by-step explanation:

The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .

Ratio of line = 3:2

m and n represents the ratios 3:2

let the coordinates of p(x, y).

using Section formula

= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]

= (15/ 4, 14/4)

= (3.75, 3.5)

Learn more about section Formula here:

https://brainly.com/question/17261859

#SPJ9

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

The average rate of change is 1/4

Step-by-step explanation:

As you can see in the chart, for every four units rightward, the line goes up one unit.  That means f(x) has an average rate of change of 1/4.

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

For more such questions on  relative frequency  visit:

https://brainly.com/question/3857836

#SPJ8

Answer:

2/5

Step-by-step explanation:

markup / cost       =    10 /25 = 2/5

It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

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

f(3) = 3*(3+1)/2 = 6

and so on.

Answer:

250 feet by 250 feet

Step-by-step explanation:

The largest area that can be closed is a square, so divide 1000 by 2 to determine the length and width of the yard. Length is 250 feet, and width is 250 feet.

Hopefully this helps - let me know if you have any questions!

the probability of event B happening is 0.50 or 50%. This means that the occurrence of event A has no impact on the likelihood of event B happening, and vice versa.

How to solve the question?

If A and B are independent events, then the occurrence of A does not affect the probability of B happening. Mathematically, this can be written as P(B|A) = P(B), where P(B|A) represents the conditional probability of B given that A has occurred.

Using the formula for the probability of the intersection of two events, we have:

P(A AND B) = P(A) * P(B|A)

Since A and B are independent, we can substitute P(B|A) with P(B):

0.30 = 0.60 * P(B)

Solving for P(B), we get:

P(B) = 0.30 / 0.60 = 0.50

Therefore, the probability of event B happening is 0.50 or 50%. This means that the occurrence of event A has no impact on the likelihood of event B happening, and vice versa. It's important to note that independence is a key assumption when using the multiplication rule to calculate the probability of the intersection of two events. If the events are not independent, this rule cannot be used, and other methods such as the addition rule or Bayes' theorem must be used to calculate probabilities.

To know more about probability visit :-

https://brainly.com/question/13604758

#SPJ1