PLZ HELP ASAP!!! What is the area of sector DEF in terms of pi ?
120°
3 cm
E

Answer:

y = 115.0977+12.2992X

91.59%

Step-by-step explanation:

Given :

DLH(X) ILE(Y)

20 361_0

25 400

22 376

23 384

20 361_0

19 360

24 427.2

28 458.4

26 450_8

29 475.2

DLH (X) : Direct Labor Hours

ILE (Y) : Indirect Labor Expense

The regression model obtained by fitting the data using technology is :

y = 115.0977+12.2992X

Where ;

Intercept = 115.0977 ;

Slope = 12.2992

The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.

For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.

1. -2<2 2. -4> -5. -20<20. -7>-8. -10<-1. 50>-100

Answer:

the answer is -2,9 lollololl

Answer:

Step-by-step explanation:

Height= 1 foot

Radius= 1 foot

Density= 60 pounds per cubic foot

Density = mass/ volume

Vol of cone= 1/3× 22/7 ×(radius^2)

=1/3×22/7×1×1

=22/21

Mass=volume × density

= 22/21 × 60

=440/7

Energy = mgh

= 440/7 ×10 × 1

= 628.57 foot pounds

Answer:

E and A

Step-by-step explanation:

Answer:

Apples

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If x = -2, then substitute it into the given equation}[/tex].

[tex]\large\textsf{f(x) = 4(-2) - 2}[/tex]

[tex]\large\textsf{y = 4(-2) - 2}[/tex]

[tex]\large\textsf{4(-2) = \boxed{\bf -8}}[/tex]

[tex]\large\textsf{y = -8 - 2}[/tex]

[tex]\large\textsf{-8 - 2 = \boxed{\bf -10}}[/tex]

[tex]\boxed{{\large\text{y = \bf -10}}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf y = -10}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\quad\quad\quad\quad \tt{f(x) = 4x - 2}[/tex]

[tex]\quad\quad\quad\quad \tt{f( - 2) = 4( - 2)- 2}[/tex]

[tex]\quad\quad\quad\quad \tt{f( - 2) = ( - 8)- 2}[/tex]

[tex]\quad\quad\quad\quad \tt{f( - 2) = - 10}[/tex]

[tex]\quad\quad\quad\quad\boxed {\tt{\color{green}f( - 2) = - 10}}[/tex]

__________

#LetsStudy

m<1=130°[alternate angle are equal again]

m<1+m<2180°[linear pair]

m<2=180°-130°

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

If you have any questions feel free to ask me^^

Have a nice and great day!

#PilipinasAngBayanKo

Answer:

B

Step-by-step explanation: Net worth is the total assets minus total liabilities of an individual or entity.

Answer:

translation then rotation

Answer:

Question 1

Shannon: 882/2688

Trey: 1008/2688

Robert: 798/2688

Callie: 882/2688

Lani: 840/2688

Question 2

The greatest is 1008/2688 students.

The least is 798/2688 students.

The median of the data is 882/2688 students.

The mode of the data is 882/2688 students.

So, use the inference of 882/2688 students to describe the number of students at the school who prefer pop music.

Step-by-step explanation

Question 1

Shannon: Because 21/64 in Shannon's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.

Trey: Because 24/64 in Trey's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 24 gets us 1008/2688 who might prefer pop music in the entire school without surveying all of the students.

Robert: Because 19/64 in Robert's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 19 gets us 798/2688 who might prefer pop music in the entire school without surveying all of the students.

Callie: Because 21/64 in Callie's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.

Lani: Because 20/64 in Lani's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 20 gets us 840/2688 who might prefer pop music in the entire school without surveying all of the students.

Question 2

Using Shannon's or Callie's survey would best describe the number of students in the entire school because their individual results (21/64) is the average of all of the individual results of the 5 students. If you decide to use any of the other individual survey results, you will not get the closest answer to the actual amount of students who prefer pop music in the entire school.

Using the individual survey results to estimate the number of students who prefer pop music in the entire school:

The greatest was Trey's results, which estimated about 1008 out of 2688 students in the entire school who would prefer pop music.

The least was Robert's results, which estimated about 798 out of 2688 students in the entire school who would prefer pop music.

The median of the data was 882 out of 2688 students in the entire school who would prefer pop music, as shown in Shannon's and Callie's individual survey results.

To find the median, list the results least to greatest, then look at the number that is in the exact middle. If there is no middle, but instead two middle numbers, find the average of the two.

The mode of the data was Shannon's or Callie's results, which estimated about 882 out of 2688 students in the entire school who would prefer pop music.

To find the mode, look for the number or result that it repeated the most (Ex: the result of 21/64 students who preferred pop music was found twice compared to the other individual survey results which did not repeat more than once).

So, in the end using Shannon's or Callie's individual survey results to estimate the amount of students in the entire school who prefer pop music is the best way to do so.

Please comment if you think I made a mistake, misunderstood, or missed something.

Solution 1 :-

Statement : corresponding angles in similar triangles must be congruent .

Answer : True

Solution 2 :-

Statement : The hypotenuse of a right angle triangle has to be opposite of 90 degree .

Answer : True

Reason : We know that the side opposite to largest angle in a triangle is largest . Since in a right angle triangle 90 degree is the largest angle and hypotenuse is the longest side therefore they must be opposite to each other .

Answer: 27

Step-by-step explanation:

Answer:

3 weeks

Step-by-step explanation:

Two puppies from the same litter are named Bruno Puppy Weight and Jasper. Their weights during the first  weeks are plotted on the coordinate grid. At which age did Bruno and Jasper weigh the same?

Solution:

We can see that Bruno and Jasper weight is represented by a straight line. Let y represent the weight of the puppies in ounce and x represent the age in weeks.

For Bruno:

The line passes through (1, 10) and (5, 16), hence the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{16-10}{5-1} (x-1)\\\\y-10=\frac{3}{2}(x-1)\\\\y=1.5x+8.5\ \ \ (1)[/tex]

For Jasper:

The line passes through (0, 12) and (3, 13), hence the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-12=\frac{13-12}{3-0} (x-0)\\\\y-12=\frac{1}{3}(x)\\\\y=\frac{1}{3} x+12\ \ \ (2)[/tex]

To find the age at which both puppies weighed the same, we have to solve equation 1 and 2 simultaneously. Subtract equation 1 from 2:

-1.167x + 3.5 = 0

1.167x = 3.5

x = 3

Put x = 3 in equation (2)

y = (1/3)(3) + 12 = 13

The solution is (3, 13)

Therefore both Jasper and Bruno weigh the same weight of 13 ounce at 3 weeks of age

Answer:

x = 28°

y = 23°

Step-by-step explanation:

5y - 4 + 3y = 180

solve for y

8y = 184

y = 23

3y and 2x + 13 are equal

solve for x now that we know y is 23.

3(23) = 2x + 13

69 = 2x + 13

56 = 2x

28 = x

Answer:

y=23 x=28

Step-by-step explanation:

5y-4 + 3y =180⁰

8y-4=180

8y=184

y=23

3y=2x+13

69=2x+13

-13 -13

56=2x

28=x

Hope this is helpful. good luck

Answer:

2 · 10¹⁵ seconds

Step-by-step explanation:

1.2 · 10⁵

2.4 · 10²⁰

2.4 · 10²⁰ ÷ 1.2 · 10⁵

2 · 10²⁰ ⁻ ⁵

2 · 10¹⁵

It took the message 2 × 10¹⁵ seconds to travel from one object to the other.

To be able to solve this problem, we need to understand the relation between speed and distance.

Speed is the change of an object's position with time, the distance is the space covered with a specified range of time.

The relation between Speed and distance can be expressed by using the relation:

[tex]\mathbf{speed = \dfrac {distance}{time}}[/tex]

From the parameters given:

The time it took the message to travel from one object to the other can be determined by making time(t) the subject of the formula from the above equation:

i.e.

[tex]\mathbf {time = \dfrac{distance} {speed}}[/tex]

[tex]\mathbf {time = \dfrac{2.4 \times 10^{20}\ cm} {1.2 \times 10^5 \ cm/s}}[/tex]

time = 2 × 10¹⁵ seconds

Learn more about speed and distance here:

https://brainly.com/question/4931057

Answer:

Step-by-step explanation:

4a-6ab-18ac

=2a(2-3b-9c)

The required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

In mathematics,  factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

The given equation is,

4a-6ab-18ac​

So factorising each term we have,

4a = 2*2*a

6ab = 2*3*a*b

18ac = 2*3*3*a*c

Thus the equation becomes,

4a-6ab-18ac​ = 2*2*a - 2*3*a*b - 2*3*3*a*c

taking 2*a common we get,

4a-6ab-18ac​ = 2a(2 - 3b - 3*3*c)

or, 4a-6ab-18ac​ = 2a(2 - 3b - 9c)

which is the the required factorisation of the equation.

Thus, the required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

To learn more about factorisation:

https://brainly.com/question/20293447

#SPJ2

Answer:

1-3, 2-1, 3-3, 4-4, 5-1, 6-3

Step-by-step explanation:

Its the top number in a row to colum

Answer:

B. Of the students who walk, the probability of choosing a female.

D. Of the females, the probability of choosing one who rides the bus.

Step-by-step explanation:

Conditional probability is the chance of something happening provided that something else has previously occured (think dependent events).

For example, the probability of getting into college P(college) is Event A.

The probability of receiving dormitory housing P(housing) is Event B.

First, the person must get into college before they are even able to receive dormitory housing. Therefore, this is a situation of conditional probability. The "condition" of being accepted into the college (Event A) is necessary before the individual can attempt Event B, housing.

The key word in the question is "Of all the students." This means that from the first instance, you are only calculating one probability.

However, in B, it first singles out "all the students who walk."

Therefore p(walk) must be met before p(gender) can happen.

Same with D, it singles out "of the females."

Therefore p(gender) must be met before p(transportation) can happen.

C does have two categories, but since it is still out of the general draw pool "of all students," it is not conditional. No condition needs to be met first to choose a male who walks out of ALL students.

Answer:

7.211

Step-by-step explanation:

I'm going to assume that's supposed to say (33, 5) to (37, -1)

Use the pythagorean theorem: a^2 + b^2 = c^2

"a" is going to be your difference in x values (37 - 33) = 4

"b" is going to be your difference in y values (5 - (-1)) = 6

4^2 + 6^2 = c^2

16 + 36 = c^2

52 = c^2

sqrt(52) = c

7.211 = c

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

Three easy steps must be taken in order to express any system of linear equations in matrix form:

1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.

2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.

3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.

Given system of linear equations:

4x - 2y = -7

0x + 3y = 5

The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].

The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].

[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]

The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.

Learn more about matrix here -

https://brainly.com/question/19683437

#SPJ2

Answer:

7 1/9

Step-by-step explanation:

because I know i'm right

Answer:

Answer in Improper fraction: 64/9

Answer is Mixed number: 7 1/9

In decimal form: 7.11111111111111111111111111111111111111 (Forever, you get the picture)

Step-by-step explanation:

Improper fraction form:

8/3*8/3= 64/9

Hope this helps!

Answer:

Below.

Step-by-step explanation:

y + 2 > -3(x + 1)

y + 2 > -3x - 3

y > -3x - 5

The graph will be the graph of the line y = -3x - 5 (dotted line),  with the area above the line shaded.

Answer:

1/6

Step-by-step explanation:

the options greater than 4 on a six-sided dice are 5 and 6 so 2 out of the 6 options so that simplifies to 1/3 and then heads or tails for the coin is 1/2 so then multiply 1/3 times 1/2 to get the probability of those both happening and the answer is 1/6

9514 1404 393

Answer:

  28. 480

  29. 40,320

Step-by-step explanation:

28. The number of possible choices is the product of the numbers of choices for each component:

  5×8×12 = 480 . . . . possible different systems

__

29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.

There are 40,320 possible seating arrangements.

Answer:

6 pencils in each group

Step-by-step explanation:

Total = 88

Gave away = 46

Balance = 88 - 46 = 42

Divided into 7 groups, means : 42/7 = 6

So each group has 6 pencils

Answer:

a. Females are more likely to enroll in Online Only courses than males.

Step-by-step explanation:

From the data, we have that:

There are 9,000 students that are online only, of which 2,000 are male and 7,000 are female.

There are 9,000 students that are Online and in the class only, of which 8,000 are male and 1,000 are female.

In total, there are 18,000 students, of which 10,000 are male and 8,000 are female.

a. Females are more likely to enroll in Online Only courses than males.

True, 7,000 females compared to 2,000 males in online only courses. This option is the answer to this question.

b. Females are more likely to enroll in Online and In Class courses than males

False, in online and in the class courses, there are 8,000 males and 1,000 females, so females are less likely.

c. There are more females enrolled at the community college than males.

False, there are 10,000 males and 8,000 females.

d. Females are equally likely as males to enroll in an Online Only course.

False, there are 7,000 females compared to 2,000 males in online only courses, so they are more likely, and not equally likely.