By using words per sentence and characters per words, we can create formulas for the Flesch-Kincaid grade level readability. The readability statistics for random pages from a Harry Potter novel are given below.

Words/Sentence 15.7 9 16.3 14.5 9.7 7.4 14 16.1 13.9 12.5 17.2 11.5
Characters/Word 41 4.2 4.2 4.3 4.3 4.2 4.5 4.5 4.3 4 4.4 4.3
F-K Grade Level 5.2 3.7 6.1 4.9 4.4 3.2 5.6 6.9 5.7 4.1 6.7 4.4

What is the correct analysis statement for the coefficient of determination between words per sentence (x-variable) and characters per word (y-variable)?

a. 1.5% of the variance in characters per word is accounted for by words per sentence.
b. 8% of the variance in characters per word is accounted for by words per sentence.
c. 10% of the variance in characters per word is accounted for by words per sentence.
d. 31% of the variance in characters per word is accounted for by words per sentence.
e. None of these

Answers

Answer 1

Answer:

d. 31% of the variance in characters per word is accounted for by words per sentence.

Step-by-step explanation:

The coefficient of determination is the statistical measurement that determines the impact in difference of one variable which is explained by the difference in another variable. It is denoted by [tex]R^{2}[/tex] or R-squared. It helps in predicting the outcome of the event.


Related Questions

Name one real-world object that suggests A. Points B. Lines and C. Planes

Answers

There are many examples to pick from, one is

point = location on map

line = straight road between two locations (aka two points)

plane = flat ground (the ground cannot have any hills or valleys)

First, let's write some useful definitions:

Point: it is an entity that has a location in a given space or plane, and do not have any surface nor measure.

Line: if we have two points, we can define a line as a straight, infinite ray that connects them. Still does not have a surface

Plane: We can define a plane as a line and a point outside of it, here appears the concept of the surface.

So, the easier one is a plane, a sheet of paper could be a good representation of a plane. And in the same way that a sheet of paper can bend in different ways, also do the planes.

For the line, we could use a really straight wire.

Finally, the point, which is the hardest one to describe (notice that we used points to describe the other two, lines, and planes) so here we could choose something small, that has near to no surface and that also has a location in the space. An example of this could be an electron or any other elemental particle.

If you want to learn more, you can read:

https://brainly.com/question/17213603

Aiko and Kendra arrive at the Texas
State Fair with $60. What is the total
number of rides they can go on if
they each pay the entrance fee of
$17 and rides cost $3 each?

Answers

Answer:

They can go on 14 rides the maximum.

Step-by-step explanation:

First, you have to set up the equation. Basically, Aiko and Kendra only carry $60 with them. They cannot go over that limit. Furthermore, the entrance free is $17. Each ride is $3.

(x = the amount of rides)

17 + 3x ≤ 60

17 represents the entrance fee which only has to be paid one time. 3x represents the cost of each ride (x equals to the amount of rides).

Now you solve.

Isolate the variable, which is 3x.

3x ≤ 60 - 17

3x ≤ 43

Now, divide 43 by 3 to find the value of x.

x ≤ 43 ÷ 3

x ≤ 14.3333333333

They can go on a max of 14 rides. Anymore, and they will go over budget. Normally, with problems like this one, if you have a decimal, you should round down unless your instructor says otherwise.

After all, who would you be able to go on a third of a ride? It isn't possible, so generally, they just have you round down.

They would be able to get in 14 rides

Which statement about the angle measures is true?
m_BAC + m2 ACB 85
m.BAC MACB 95
95°
m..BACA BC 85
m. BACIMBC 95
B

Answers

Answer:

Option (4)

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles."

In the triangle ABC,

∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.

m∠ACD = m∠BAC + m∠ABC

95° = m∠BAC + m∠ABC

Therefore, Option (4) will be the correct option.

A sport jacket is on sale for 35% off, if the originsl price is $140, what is the sale price?

Answers

Answer:

$91

Step-by-step explanation:

If a jacket is on sale for 35% off, that means that the price of the jacket is [tex]100-35=65[/tex]% of its original price.

We can find 65% of 140 by making 65% into a decimal - 0.65, then multiply it by 140.

[tex]140\cdot0.65=91[/tex]

Hope this helped!

Answer:

$91.00

Step-by-step explanation:

The jacket is on sale for 35%. Usually, you pay for 100% of the jacket's price. Since it is on sale, we can subtract 35% from 100%.

100%-35%=65%

With the sale, you only pay for 65% of the price.

Now, we can multiply 65% and 140.

65% * 140

Convert 65% to a decimal. Divide 65 by 100 or move the decimal place 2 spots to the left.

65/100=0.65

65.0 --> 6.5 --> 0.65

0.65 * 140

Multiply

91

$91

The sale price for the sports jacket is $91.00

If you conducting a test for statistical study and you got outcome with the likelihood of 0.005. Please evaluate outcome.

Answers

Here is the complete question:

a. Statistically significant at 0.01

b. Not statistically significant

Answer:

The test is significant

Step-by-step explanation:

When a p value is smaller than or less than alpha we say it is statistically significant.

We are testing the p value or likelihood of 0005 against a significant level of 0.01

P value = 0.005 < 0.01

0.005 is less than 0.01 which shows the test to be significant.

The decision rule would be to reject the null hypothesis and say the result is statistically significant.

Mark each of the following as true or false and explain how you know.

Answers

true false false true...is the quick answer

Remember that negatives are always less than positive numbers.

Help and show work plz

Answers

Answer:

30

Step-by-step explanation:

If we have 4 integers that have an average of 9, then all the numbers will add up to [tex]9\cdot4=36[/tex].

If we want the greatest number possible, the other 3 need to be the lowest possible.

Since they are all different, the lowest possible values of the first 3 numbers are 1, 2, and 3.

[tex]1 + 2 + 3 = 6[/tex]

[tex]36 - 6 = 30[/tex]

So 30 is the greatest value of one of the integers.

Hope this helped!

A multiple regression model involves 5 independent variables and a sample of 10 data points. If we want to test the validity of the model at the 5% significance level, the critical value is:

Answers

Answer:

The critical value is 6.26.

Step-by-step explanation:

It is provided that there are 5 independent variables involved in a multiple regression model and the sample consist of 10 data points.

The critical value of F to test the significance of the model is:

[tex]\text{Critical Value}=F_{\alpha, (k, n-k-1)}[/tex]

Here,

k = number of independent variables

n = number of observations.

Then the critical value is:

[tex]\text{Critical Value}=F_{\alpha, (k, n-k-1)}[/tex]

                      [tex]=F_{\alpha, (5, 10-5-1)}\\=F_{0.05,(5, 4)}\\=6.2561\\\approx 6.26[/tex]

*Use a F-table.

Thus, the critical value is 6.26.

WILL GIVE BRAINILY 5 STARS AND THANKS FOR CORRECT ANSWERLenora wants to buy granola bars for her hiking trip. Eight bars cost $2.40. She wants to buy 12 bars. How much will 12 bars cost?

Answers

Answer:

$3.60

Step-by-step explanation:

2.40/8=.30

$.30 per bar

.3 x 12= $3.60

Answer:

$3.60

Step-by-step explanation:

Proportions

8 bars ⇔ $2.4

12 bars ⇔ $W

W = 12*2.4/8

W = $3.6

83=4k-7(1+7k) How to solve

Answers

Answer:

k = -2

Step-by-step explanation:

83=4k-7(1+7k)

Distribute

83=4k-7-49k

Combine like terms

83 = -45k -7

Add 7 to each side

83+7 = -45k-7+7

90 = -45k

Divide each side by -45

90/-45 = -45k/-45

-2 = k

Answer:

k = -2

Step-by-step explanation:

Step 1: Use 7 to open the bracket :

-7(1+7k)=-7-49k

Step 2: Collect like terms

Step 3 : Divide both sides of the equation by -45

[tex]83=4k-7(1+7k) \\ \\83 = 4k-7-49k\\\\ 83+7=4k-49k\\\\90 = -45k\\\\\frac{90}{-45} = \frac{-45k}{-45} \\\\k = -2[/tex]

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 116 feet. Assume that the population standard deviation is 21 feet. (You may find it useful to reference the appropriate table: z table or t table) a. State the null and the alternative hypotheses for the test.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  [tex]H_o : \mu = 122[/tex]

the alternative hypothesis is [tex]H_a : \mu \ne 122[/tex]

The test statistics is  [tex]t = - 1.761[/tex]

The p-value is  [tex]p = P(Z < t ) = 0.039119[/tex]

so

    [tex]p \ge 0.01[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 122[/tex]

     The sample size is  n=  38

    The sample mean is  [tex]\= x = 116 \ feet[/tex]

     The standard deviation is [tex]\sigma = 21[/tex]

     

Generally the null hypothesis is  [tex]H_o : \mu = 122[/tex]

                the alternative hypothesis is [tex]H_a : \mu \ne 122[/tex]

Generally the test statistics is mathematically evaluated as

         [tex]t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }[/tex]

substituting values

         [tex]t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }[/tex]

         [tex]t = - 1.761[/tex]

The p-value is mathematically represented as

      [tex]p = P(Z < t )[/tex]

From the z- table  

     [tex]p = P(Z < t ) = 0.039119[/tex]

So  

     [tex]p \ge 0.01[/tex]

 

         

     

           

Which of the following is not a way of generating random numbers? A. random number tables B. using phone numbers selected at random in a local phone book C. using the internet D. books of random numbers

Answers

Answer:

well all of these look like a way so we have to use elimination method

A : random number tables : well it has random numbers so X out

B: PHONE NUMBERS: well phone numbers are random so X out

C: USing the internet : totally X out

D: books of random numbers: X out

so none of the above i guess

The only way that might not be used in generating random numbers is : (B). using phone numbers selected at random in a local phone book

Meaning of random numbers

Random numbers are numbers that occurs randomly without prediction. these numbers are impossible to predict using past values.

Random numbers are important for computer encryption and lotteries.

In conclusion, The only way that might not be used in generating random numbers is using phone numbers selected at random in a local phone book

Learn more about random numbers: https://brainly.com/question/10352102

#SPJ2

NEED ASAP I WILL GIVE BRAINLEYEST What is the value of the expression 22 + 82 ÷ 22? 8 10 17 20

Answers

Answer:

Exact Form:

283 /11

Decimal Form:

25.  72

Mixed Number Form:

25  8 /11

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

How do I solve these equations:
sin(2θ) + sin θ = 0
sin(2θ) = sqrt 3 cos θ

for intervals 0=< θ < 2pi

Answers

Answer:

Step-by-step explanation:

Given that

sin(2θ)+sinθ=0

We know that

sin(2θ)=2 sinθ x cosθ

Therefore

2 sinθ x cosθ + sinθ=0

sinθ(2 cosθ+1)=0

sinθ= 0

θ=0

2 cosθ+1=0

cosθ= - 1/2

θ=120°

_______________________________________________________

[tex]sin 2\theta=\sqrt{3cos\theta}[/tex]

By squaring both sides

[tex]sin^2 2\theta={3cos\theta}[/tex]

4 sin²θ x cos²θ=3 cosθ

4 sin²θ x cos²θ - 3 cosθ=0

cos θ = 0

θ= 90°

4 sin²θ=3

θ=60°

nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?

Answers

Using concepts of circles, it is found that the angle measure of each slice is of 72º.

--------------------------------------------

The cookies have circular formats.A complete circle, which is the format of a cookie, has an angular measure of 360º.If it is divided into a number n of equal slices, the angles will be 360 divided by n.

--------------------------------------------

5 equal slices, thus:

[tex]\frac{360}{5} = 72[/tex]

The angle measure of each slice is of 72º.

A similar problem is given at https://brainly.com/question/16746988

If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18.

Answers

Answer:

1/7

Step-by-step explanation:

If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25

Let the probability that the number chosen at random is a multiple of  6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)

P(A) = P(multiple of 6)

P(B) = P(number larger than 18)

A = {6, 12, 18, 24}

B = {19, 20, 21, 22, 23, 24, 25}

The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).

P(A|B) = P(A∩B)/P(B)

Since probability = expected outcome/total outcome

A∩B = {24}

n(A∩B) = 1

P(A∩B) = n(A∩B)/n(U)

P(A∩B) = 1/25

Given B = {19, 20, 21, 22, 23, 24, 25}.

n(B) = 7

p(B) = n(B)/n(U)

p(B) = 7/25

Since P(A|B) = P(A∩B)/P(B)

P(A|B) = (1/25)/(7/24)

P(A|B) = 1/25*25/7

P(A|B) = 1/7

Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7

how do you figure out ratios? the problem is 12 quarters to 34 dollars. thanks

Answers

Step-by-step explanation:

When you have a ratio, you put one number as the numerator and than one number as the denominator.

so it would be (12/34)=(x/68)

In this example I made the ratio you are comparing it to have 68 dollars, so when you solve for the amount of quarters you need it should be 24, since all of the numbers in this example are just being doubled.

To solve for x, you multiply 68 on both sides of the equation, 68×(12/34)=x

24=x

So this proves that this is how ratios, are used. It also does not matter what number you place on the numerator or denominator.

SOMEONE PLEASE HELP.............

Select the type of equations.

consistent
equivalent
inconsistent​

Answers

Answer:

this is an inconsistent because no solutions

The table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have. A 2-column table has 4 rows. The first column is labeled Number of siblings with entries 0, 1, 2, 3. The second column is labeled number of students with entries 4, 18, 10, 8. What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings? Round to the nearest whole percent. 65% 70% 75% 80%

Answers

Answer:

70%

Step-by-step explanation:

Given

Number of Siblings:   ||    0  ||    1    ||      2     ||       3

Number of Students: ||    4  ||    18    ||    10     ||       8

Required

Determine the probability of a student having at least one but not more than 2 siblings

First, we have to determine the total number of 10th grade students

[tex]Total = 4 + 18 + 10 + 8[/tex]

[tex]Total = 40[/tex]

The probability of a student having at least one but not more than 2 siblings = P(1) + P(2)

Solving for P(1)

P(1) = number of students with 1 sibling / total number of students

From the given parameters, we have that:

Number of students with 1 sibling = 18

So:

[tex]P(1) = \frac{18}{40}[/tex]

Solving for P(2)

P(2) = number of students with 2 siblings / total number of students

From the given parameters, we have that:

Number of students with 2 siblings = 10

So:

[tex]P(2) = \frac{10}{40}[/tex]

[tex]P(1) + P(2) = \frac{18}{40} + \frac{10}{40}[/tex]

Take LCM

[tex]P(1) + P(2) = \frac{18 + 10}{40}[/tex]

[tex]P(1) + P(2) = \frac{28}{40}[/tex]

Divide numerator and denominator by 4

[tex]P(1) + P(2) = \frac{7}{10}[/tex]

[tex]P(1) + P(2) = 0.7[/tex]

Convert to percentage

[tex]P(1) + P(2) = 70\%[/tex]

Hence, the required probability is 70%

Answer:

Step-by-step explanation:

bB

HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP

Answers

Answer:

Segment LM Corresponds to RQ    

Segment R corresponds to angle M

Answer:

Step-by-step explanation:

six hundred men,six hundred men with big mouths to feed

Hey guys! I have this problem and I dont really understand how to solve it, could you guys help me? :' )

Answers

Answer:

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Solve 45 - [4 - 2y - 4(y + 7)] = -4(1 + 3y) - [4 - 3(y + 2) - 2(2y -5)] (make sure to type the number only - rounded to the tenth)

Answers

Answer:

Rounded: -5.5

Step-by-step explanation:

Work above :)

A methods and measurements analyst for Timepiece, Inc., needs to develop a time standard for the task of attaching a watch to a wristband. How many observations should be made if he wants to be 95.44 percent confident that the maximum error in the observed time is one second

Answers

In a preliminary study, he observed one of his workers perform this task five times, with the following results:

Observation: Time (secs):

1 27

2 19

3 20

4 21

5 13

Answer:

100 Observations

Step-by-step explanation:

Z value = 2 (due to confidence percentage of 95.44)

S = 5

A = 1

N equals to square of (ZxS/A)

N = (ZxS/A)^2

N = (2x5/1)^2

N = 10^2 = 100

Diane has a rectangular poster that is 20 centimeters long and 15 centimeters wide. What is the area of the poster in square meters? Do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

0.03 square meters

Step-by-step explanation:

1. convert 20 cm, 15 cm into m by dividing the number by 100 then you got 0.2 m and 0.15 m respectively

2. calculate the area by multiply 2 numbers together

0.2 × 0.15 = 0.03 square meter

find the range. 83, 71, 62, 86, 90, 95, 61, 60, 87, 72, 95, 74, 82, 54, 99, 62, 78, 76, 84, 92

Answers

Answer: 45

Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 99 - 54 or 45. So the range of this data set is 45.

Answer:

[tex] \boxed{45}[/tex]

Step-by-step explanation:

Given data:

83 , 71 , 62 , 86 , 90 , 95 , 61 , 60 , 87 , 72 , 95 , 74 , 82 , 54 , 99 , 62 , 78 , 76 , 84 , 92

largest value = 99

Smallest value = 54

Let's find the range:

Range = Largest value - smallest value

= 99 - 54

= 45

Extra information:

Range

It is the simple method of measuring the variations. A range is defined as the difference between the largest and the smallest value of distribution. If the data are arranged in ascending or descending order, then the difference between the largest and smallest value is called the range.

The range is defined by

Range = Largest value - smallest value i.e ( highest value - lowest value )

= L - S

Range is the absolute measure of dispersion = L - S

Thus, if a₁ , a₂ , a₃ ...............aₙ are n term in a sequence arranged in ascending order, the range is given by

R = a - a where a₁ is the smallest value and aₙ is the highest value or R = L - S , where L is the largest value and S is the smallest value.

Hope I helped!

Best regards!

the square of a number is 3 less than four times the number. which values could be the number?​

Answers

Answer:

x could be 3 or 1

Step-by-step explanation:

x²+3=4x

x²-4x+3=0

(x-3)(x-1)

x could be 3 or 1

The values could be 1 or 3.

Let the number be n.

In this exercise, you're required to write a mathematical (algebraic) expression for the given word problem and determine which values could be the unknown number.

Translating the word problem into an algebraic expression, we have;

[tex]n^{2} = 4n - 3\\\\n^{2} - 4n + 3 = 0[/tex]

We would solve the quadratic equation by using the factorization method;

[tex]n^{2} - 3n -n + 3 = 0\\\\n(n - 3) - 1(n - 3) = 0\\\\(n - 1)(n - 3) = 0[/tex]

Therefore, the values could be 1 or 3.

Find more information: https://brainly.com/question/17215161

Adam’s house is 2 centimeters from Juan’s house on a map. If each centimeter on the map represents 6 kilometers, how far apart are the two houses?

Answers

Answer:

Since 1 cm represents 6 km

2 cm will represent 12 km

Hence Adam's house is 12 km away

Answer:

The answer is  C. 3

Step-by-step explanation:

If u divide 6 divided by 2 it will get you 3

i also got it right bc i took the quiz.

Find the equation with the given slope through the given point. Write the equation in the given form AX+BY=C m=1/9 (-6,2)

Answers

Answer:

x - 3y = 12

Step-by-step explanation:

Find the point-slope form of this equation and then convert the point-slope form into standard form (ax + by = c):

y - k = m(x - h) becomes y - 2 = (1/9)(x + 6).

Multiplying all three terms by 9 removes the fraction:

3y - 6 = x + 6, or x - 3y = 12

musah stands at the center of a rectangular field . He first takes 50 steps north, then 25 step west and finally 50 steps on a bearing of 315°. How far west and how far north is Musah final point from the center?

Answers

Answer:

85.36 far north from the center

10.36 far east from the center

Step-by-step explanation:

The extra direction taken in the north side is x

X/sin(360-315)=50/sin 90

Sin 90= 1

X/sin 45= 50

X= sin45 *50

X= 0.7071*50

X= 35.355 steps

X= 35.36

Then the west direction traveled

West =√(50² - 35.355²)

West = √(2500-1249.6225)

West= √1250.3775

West= 35.36 steps

But this was taken in an opposite west direction

From the center

He is 35.36 +50

= 85.36 far north from the center

And

25-35.36=-10.36

10.36 far east from the center

There are 8 books needing re-shelving in a library where 65% of the library's collection consists of reference books. Let X be the number of reference books a student helper re-shelves out of the 8 on her cart. a) What is the probability that all 8 of them are reference books

Answers

Answer:

0.0319

Step-by-step explanation:

To approximate this probability, we shall be using the Bernoulli approximation of the Binomial distribution.

Let p = probability of selecting a reference book = 65% = 0.65

Let q = probability of selecting other books= 1-p = 1-0.65 = 0.35

Now, we want to find the probability that all of these 8 books to be re-shelved are reference book.

We set up the probability as follows;

P(X = 8) = 8C8 •p^8•q^0

P(X = 8) = 1 * (0.65)^8 * (0.35)^0

P(X = 8) = 0.031864481289 which is 0.0319 to 4 decimal places

Other Questions
How many 1-foot rulers laid end to end wouldit take to equal 3 yards? what is the domain of the function shown in the graph below?answer type: interval, all real numbers, all values except one, all values except twointerval: An inductor is connected to the terminals of a battery that has an emf of 12.0 VV and negligible internal resistance. The current is 4.96 mAmA at 0.800 msms after the connection is completed. After a long time the current is 6.60 mAmA. Part A What is the resistance RR of the inductor Write a balanced nuclear equation for the following: The nuclide thorium-234 undergoes beta decay to form protactinium-234 . Four items are purchased at prices of $5.30, $1.29, $.53, and $.68. Sales tax applies at 5% of the total purchase price. What is the total charge? g A company issues 9% bonds with a par value of $170,000 at par on January 1. The market rate on the date of issuance was 8%. The bonds pay interest semiannually on January 1 and July 1. The cash paid on July 1 to the bond holder(s) is: What is the value of 1/4m +n 8 - 6 = 12 * What is health science? How many atoms are in 65.0g of zinc? Unemployment numbers drop as more jobless Americans find positions in local businesses. Which determinant of aggregate demand causes the change Which of the following is NOT a factor to consider when examining extrinsic job satisfaction?a. payb. coworkersc. job tasksd. supervisors The rain pounded the windows, and Fredrick couldn't shake the gloom that descended on him as they drove past the baseball field. He was supposed to have a baseball game, and the coach was going to put Fredrick in as the pitcher, but it was cancelled because of rain. Instead, Fredrick pulled out his baseball cards, hoping the familiar faces of the famous players would cheer him. First, Fredrick sorted the cards by team, then by the year the card was printed. He examined each one before carefully putting it back into its plastic cover and filing it away. When he finished, the rain had stopped, and he realized that he felt better. 19. Fredrick _______ organized his cards. Group of answer choices relentlessly incorrectly alphabetically methodically We've seen that for thermal radiation, the energy is of the form AVT4, where A is a universal constant, V is volume, and T is temperature. 1) The heat capacity CV also is proportional to a power of T, Tx. What is x Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF. Monte Services, Inc. is trying to establish the standard labor cost of a typical brake repair. The following data have been collected from time and motion studies conducted over the past month. Actual time spent on the brake repairs 5 hours Hourly wage rate $10 Payroll taxes 10% of wage rate Setup and downtime 11% of actual labor time Cleanup and rest periods 27% of actual labor time Fringe benefits 25% of wage rate.Required:a. Determine the standard direct labor hours per brake repairs.b. Determine the standard direct labor hourly rate. c. Determine the standard direct labor cost per brake repair. what opportunity did many colonial countries have after world war ll A fireperson is 50 m from a burning building and directs a stream of water from a fire hose at an angle of 300 above the horizontal. If the initial speed of the stream is 40 m/s the height that the stream of water will strike the building is Give an example of hypothesis for an experiment and then identify its dependent and independent variables. Write all the steps of the scientific method. Explain why it is good to limit an experiment to test only one variable at a time whenever possible ? Please somebody !!!! what do you think youd like most about working as a forensic scientist? why Most of the costs associated with using renewable resources are due to. overuse of resourcesb. atmospheric pollutionC.lack of availabilityd.global warming