Length of rectangle is three times bigger than the width. Area of rectangle is 27. A) find width of rectangle B) find length of rectangle C) find perimeter of rectangle.

What is the answer? I need help to solve it.

Answers

Answer 1

Answer:

Length: 9

Width: 3

Perimeter: 24

Step-by-step explanation:

First you can set up a few equations. You know that L x W is your area, or 27.

L * W = 27

Then you also know that your length is equal to three times the width.

L = 3W

So you can substitute L into the first equation to solve for W.

3W * W = 27

3W^2 = 27

W^2 = 9

W = 3

Then you can plug 3 into either equation to solve for your length.

L = 3(3)

L = 9

Then your perimeter is just 2L + 2W

2(9) + 2(3) = 24

Answer 2

Answer:

Step-by-step explanation:

Let the dimensions of the rectangle be length = L and width = W. Then P = perimeter = 2L + 2W.  A = area of rectangle = L * W.  Finally, L = 3W.

Here A = 27 units^2 = W*(3W) = (3*W^2), or 3W^2 = 27 units^2, or

W^2 = 9 units^2, or W = 3 units.  Then L = 3W = 3(3 units) = 9 units.

The length of the rectangle is 9 units.  See above.

The perimeter of the rectangle is 2(9 units) + 2(3 units) = 24 units.


Related Questions

given the function defined below, what is the value of the 4th term?
f (1) = -4
f (n) = -3f (n-1) +5
f (4) =

Answers

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

Explanation:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         f(2) = -3 f(2-1) +5

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                        f(3) = -3 f(3-1) +5

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

                 f(4)  = -3f(4-1) +5

                 f(4)  = -3f(3)+5

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

Final answer:-

The 4 t h term is   f(4)   = 143

         

Identify Y, inscribed angels

Answers

Answer:

  y = 2

Step-by-step explanation:

PQ is a diameter, so arc PQ has a central angle of 180°. Inscribed angle PRQ has a measure half that, or 90°. (An inscribed triangle with one side a diameter is a right triangle.)

Then you can write ...

  53y -16 = 90

  53y = 106 . . . . . add 16

  y = 106/53 = 2 . . . . divide by the coefficient of y

y = 2

1. A car priced at $25,329 is financed with a simple interest rate of 4.25% for 5 years with no down payment. Payments of $511.86 are made each month. Another car priced at $22,464 is financed with a simple interest rate of 3.78% for 5 years with a down payment of $2,500. Payments of $395.62 are made each month. a. For each loan, generate a table, graph, and equation that can be used to represent the balance after the down payment, if applicable, and the first 12 months of payments. The tables should represent the number of months in terms of x and the balance of the loan after each month’s payment in terms of y. b. Determine the rate of change, or slope, of each line and state the y-intercepts. c. Using your generated graph for the first situation, describe how the unit rate of the amount of money paid monthly is related to the slope of the line. d. Determine if each relationship represented in the table, graph, and equation represents a proportional or non- proportional situation. e. Use a set of ordered pairs, table, mapping, or graph to determine if each relationship represents a function.

Answers

Answer:

Step-by-step explanation:

Car 1

Price of the car  $25,329

Add Interest    ($25,329 * 4.25% / 12 * 12 * 5) = $5382.41

Total amount to be paid $30711.41

X               Y            

0              30711.41

1               30199.55

2              29689.69

3              29175.83

4              28663.97

5              28152.11

6              27640.25

7              27128.39

8              26616.53

9              26104.67

10             25592.81

11               25080.95

12              24569.09

Equation

Y = 30711.41 - 511.86 * x

Car 2

Price of the car                                            $22,464

Less down payment                                   - $2500

Amount to be financed                                $19964

Add interest (19964 * 3.78% / 12 * 12 * 5)     $3773.20

Total amount to be paid                                 $23737.20

X                             Y                

0                       23737.20

1                        23341.58

2                       22945.96

3                      22550.34

4                     22154.72

5                      21759.10

6                     21363.48

7                     20967.86

8                    20572.24

9                   20176.62

10                 19781.00

11                  19385.38

12                 18989.76

Equation

Y = 23737.20 - 395.62 * x

b) Determine the  rate of change, or slope, of each line and state the y-intercepts

                                       Car 1                  Car 2

Slope of each line          511.86                395.62

Y intercept                      30711.41             23737.20

c) Using your generated graph for the first situation, describe how the unit rate of the amount of money paid monthly is related to the slope of the line.

Ans; The unit rate is same because in both payments are made monthly

d) Determine if each relationship represented in the table, graph, and equation represents a proportional or non- proportional situation

Ans; Each relationship represented in the table , graph and equation is not proportional because it doesn't cross the origin.

Can someone explain it to me please(? C:
I don’t know how to solve the problem when there’s two different variables next to each other.

Answers

Answer:

11

Step-by-step explanation:

just put the values in for the variables

5(3)(1) - 4(1)

15(1) - 4(1)

15 - 4

11

(Brainliest pleaseee)

You plug in the numbers. So it would be 5(3(1) - 4(1) or 15 - 4


Area = 27 mi2
The area of the polygon is 27 mi? What is the length of side
miles​

Answers

Answer:

3 mi

Step-by-step explanation:

There are three squares with side a

The area of a square is s^2 where s is the side length

A of the square is a^2

We have three of them so add the areas together

a^2+a^2+a^2 = 3a^2

This is equal to 27

3a^2 = 27

Divide each side by 3

3/3a^2 = 27/3

a^2 = 9

Take the square root of each side

sqrt(a^2) = sqrt(9)

a = 3

The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tower. The height, h, of the penny is recorded after each second, t, in the table. Write an equation for the curve of best fit, then find the approximate height of the penny after 7 seconds.

Answers

Answer:

The equation for the height of the penny in function of time is:

[tex]h(t)=1451-16t^2[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

Step-by-step explanation:

The penny will have a free fall.

The initial velocity is zero, and the initial height is h(0)=1,451.

The acceleration will be the gravity, that has a value g=32 ft/s^2.

Then, we can model this starting by the speed:

[tex]dv/dt=-g\\\\v(t)=v_0-gt=-gt[/tex]

Then, the height becomes:

[tex]dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2[/tex]

The approximate height of the penny after 7 seconds can be calculated as:

[tex]h(7)=1451-16(7^2)=1451-16*49=1451-784=667[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

how do u solve -10 + z - 1 = 7z - 5 ?

Answers

Answer:-1

Step-by-step explanation:

-10+z-1=7z-5

Collect like terms

7z-z=-10-1+5

6z=-6

Divide both sides by 6

6z/6=-6/6

z=-1

An important part of the customer-service responsibilities of a telephone company relates to the speed with which trouble in residential service can be repaired. Suppose that past data indicates that the probability is 0.9 that troubles in residential can be repaired in the same day. For the first five troubles reported on a given day. What is the probability that all troubles will be repaired in the same day

Answers

Answer:

59.05% probability that all troubles will be repaired in the same day

Step-by-step explanation:

For each trouble, there are only two possible outcomes. Either it can be repaired on the same day, or it cannot. The probability of a trouble being repaired on the same day is independent of other troubles. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Suppose that past data indicates that the probability is 0.9 that troubles in residential can be repaired in the same day

This means that [tex]p = 0.9[/tex]

For the first five troubles reported on a given day. What is the probability that all troubles will be repaired in the same day

This is P(X = 5) when n = 5. Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.9)^{5}.(0.1)^{0} = 0.5905[/tex]

59.05% probability that all troubles will be repaired in the same day

Walter’s family made a bowl of punch to have at their summer picnic. They used 1 ½ gallons of orange juice, 3 quarts of soda, 3 cups of lemonade, and 2 cups of cranberry juice. Would their 3 gallon punch bowl be big enough? How many cups away from 3 gallons are they?

Answers

Answer:

YES,30

Step-by-step explanation:

A Pringles chip can has a diameter of about 2.8 inches and a height of about 11.8 inches (close to real measurement) what volume of air and chips can it hold ? Round your answer to the nearest hundredth

Answers

Answer:

72.66 in³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is given by V = πr²h.

Here we have  V = πr²h = π([2.8]/2 in)²(11.8 in) = π(1.96 in²)(11.8 in) = 23.1 π in³, or approximately 72.66 in³

Junior bought a bag of mixed fruit snacks. The flavors in the bag are 4 strawberry, 3 cherry, and 5 grape. If he chooses one fruit snack at random, what it the probability of the first one being grape?

Answers

Answer:I believe it would be 5/12

Step-by-step explanation:

You add all of them up then since it's 5 grapes and in total there is 12 fruit snacks. It should be 5 grapes of 12 fruit snacks in the bag.

what is nine hundred seven thousands in decimal srandard form


Answers

Answer:

0.907

Step-by-step explanation:

0.000 thousandths place

Answer:

9.0 x 10⁶

Step-by-step explanation:

if your looking for 900,000

Of all rectangles with a perimeter of 29​, which one has the maximum​ area? (Give the​ dimensions.) Let A be the area of the rectangle. What is the objective function in terms of the width of the​ rectangle, w? Aequals 14.5 w minus w squared ​(Type an​ expression.) The interval of interest of the objective function is nothing. ​(Type your answer in interval notation. Use integers or simplified fractions for any numbers in the​ expression.) The rectangle that has the maximum area has length nothing and width nothing. ​(Simplify your​ answer.)

Answers

Answer:

For maximum area: Its a square of dimensions 7.25 * 7.25.

Step-by-step explanation:

We can use calculus to solve this:

Let the length of the rectangle be L and the width be W then we have

2L + 2W = 29

L + W = 14.5

W = 14.5 - L

Area = WL

A = L(14.5 - L)

A = 14.5L - L^2

We need this to be a maximum.

Finding the derivative:

dA/dW = 14.5 - 2L = 0   for a maximum

2L = 14.5

L = 7.25

Also W = 14.5 - L

= 14.5 - 7.25 = 7.25.

So the dimensions for maximum area are 7.25 * 7.25.

The  figure is a SQUARE.

The perimeter of a rectangle, is the sum of its side lengths.

The rectangle that has the maximum area when the length is 7.25 and the width is 7.25

The perimeter is given as:

[tex]\mathbf{P = 29}[/tex]

Let the dimensions be l and w.

So, we have:

[tex]\mathbf{2( l + w) = 29}[/tex]

Divide both sides by 2

[tex]\mathbf{l + w = 14.5}[/tex]

Make l the subject

[tex]\mathbf{l = 14.5 - w}[/tex]

The area of a rectangle is:

[tex]\mathbf{A = lw}[/tex]

Substitute [tex]\mathbf{l = 14.5 - w}[/tex]

[tex]\mathbf{A = (14.5 - w)w}[/tex]

Open brackets

[tex]\mathbf{A = 14.5w - w^2}[/tex]

Differentiate

[tex]\mathbf{A' = 14.5 - 2w}[/tex]

Set to 0

[tex]\mathbf{14.5 - 2w = 0}[/tex]

Collect like terms

[tex]\mathbf{2w = 14.5}[/tex]

Divide both sides by 2

[tex]\mathbf{w = 7.25}[/tex]

Recall that: [tex]\mathbf{l = 14.5 - w}[/tex]

So, we have:

[tex]\mathbf{l = 14.5 - 7.25 = 7.25}[/tex]

Hence, the rectangle that has the maximum area when the length is 7.25 and the width is 7.25

Read more about maximum areas at:

https://brainly.com/question/11906003

10^2What is the answer

Answers

Answer:

100

Step-by-step explanation:

10 times 10=100

Answer: 100

Step-by-step explanation: The 2 in this problem means that we are going to multiply 10 twice in order to find the answer.

When we multiply a number by itself, it's called squaring.

So any number squared is that number times itself.

So 10² is just 10 · 10 or 100.

Cody paid $24.00 to join an online music service. If she purchases 15 songs each month at a cost of $1.25 per song, what will be the total amount she has spent after 6 months?

Answers

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

What is the disciminant of 3x^2-10x=-2

Answers

Answer:

76

Step-by-step explanation:

First get the equation into the form

ax^2 +bx+c =0

3x^2-10x+2=-2+2

3x^2-10x+2 =0

The discriminant is

b^2 -4ac  where a=3  b = -10 c =2

(-10)^2 - 4(3)(2)

100 - 24

76

1) Which system of linear equations could the graph represent? A) y = x + 5 y = 2x + 4 B) y = 3x + 6 y = −4x + 8 C) y = −3x + 6 y = −x + 3 D) y = −2x + 6 y = −4x + 8

Answers

Answer:

A

Step-by-step explanation:

Correct systems of linear equations which represent the two lines are,

a. x=3, y=6

e. y= x + 3, y= 2x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are two lines are graphed on the same coordinate plane.

And, the lines only intersect at the point (3,6).

Now, We know that;

When Point (3, 6) is lies on line then it satisfy the equation of lines.

Hence, By options;

a. x=3, y=6

Clearly, Point (3, 6) is lies on line.

e. y= x + 3, y= 2x

y = x + 3

y = 3 + 3

y = 6

Hence, Point (3, 6) is lies on line.

Thus, Correct systems of linear equations which represent the two lines are,

a. x=3, y=6

e. y= x + 3, y= 2x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

complete question:

Two lines are graphed on the same coordinate plane.the lines only intersect at the point (3,6).which of these systems of linear equations could represent the two lines?

a. x=3

y=6

b. x=6+y

y=3+x

c. y=3x-3

y= x-1

d. x=3+y

y=6+x

e. y= x+3

y= 2x

What do you add to the cost of one frozen yogurt to get the cost of two frozen yogurt?

Answers

Answer:

You add another Frozen yogurt...

Answer:

You just add it again or multiply it by 2.

Step-by-step explanation:

For example, if the frozen yogurt cost $3.50, you would add it again or multiply it by 2. 3.50 + 3.50 = $7.00

A wedge of cheese in the shape of a triangular prism is shown below.
​Find the surface area of the cheese.

_______Square feet

Answers

Answer:

[tex]144 $ Square feet[/tex]

Step-by-step explanation:

The given triangular prism comprises of two equal right triangles and three rectangles.

The Surface Area of the Prism

=Area of Two Triangles + Area of Three Rectangles

[tex]=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet[/tex]

Answer: 144

Step-by-step explanation:32+24+4-+48=144

The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 52 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 52

Answers

Answer:

34% of lightbulb replacement requests numbering between 47 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 52

Standard deviation = 5

Between 47 and 52:

52 is the mean and 47 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.

Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).

So

34% of lightbulb replacement requests numbering between 47 and 52

Can someone help me please

Answers

it would affect the mean the most

You take out a bagel and place it in the toaster for 5 minutes the toaster uses 1050 watts/hour

Answers

If the power consumption is linear, then the toaster consumed 1050*(5/60)=87.5 watts.

Parallel lines s and t are cut by a transversal, r.

Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.

If the measure of angle 1 is 68°, what is the measure of angle 5?
22°
68°
112°
158°

Answers

Answer:

68°

Step-by-step explanation:

Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal

Answer:

B.

Step-by-step explanation:

For a sphere with a radius of 8, what is the surface area

Answers

Answer:

64

Step-by-step explanation:

Which mixes number is equivalent to the improper fraction 17/10

Answers

Answer:

1  7/10

Step-by-step explanation:

Your Welcome :)

Answer:

1 7/10

Step-by-step explanation:

17/10

To find the mixed number, we have to see how many times 10 goes into 17. (Only whole numbers)

17➡1*10 Remainder 7

Since there is a remainder seven we can put 7/10. Since 10 went once into 17 we can say the anwser is 1 7/10

ice, as long as it stays in its frozen form, will not lose its shape or its volume. Why?

Answers

solid form

Step-by-step explanation:

it will not loose shape because it is in solid form

Answer:

It freezes it self in the solid state

Step-by-step explanation:

what is (4 to the square root of 81)5?

Answers

Answer:

1310720

Step-by-step explanation:

Find out the frist part "4 to the square root of 81"  262144

then times it by 5

to get 1310720

ONLY BOYS ANSWER PLSSSS



What would you do if Shakira was right next to you and you can do whatever you want to her :)

Answers

Answer:

you need Jesus lol :)

Step-by-step explanation:

.....

I would smash and yea I’m a girl and idc lol

In a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten," according to The NDP Group, the market-research company that conducted the poll. A researcher wonders if a smaller proportion of students at her university would respond in the same fashion. Suppose the researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten. A statistician carries out a significance test of the null hypothesis that the proportion wanting to reduce gluten at the university is the same as for all adults versus the alternative hypothesis that a smaller proportion p of students would say they want to reduce or be free of gluten. What is the value of the standardized test statistic for this significance test? A) – 0.100 B) – 1.250 C) 0.200 D) – 1.091

Answers

Answer:

The value of the standardized test statistic for this significance test is -1.25.

Step-by-step explanation:

We are given that in a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten".

The researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten.

Let p = population proportion of students wanting to reduce gluten at the university.

So, Null Hypothesis, [tex]H_0[/tex] : p = 30%      {means that the proportion wanting to reduce gluten at the university is the same as for all adults}

Alternate Hypothesis, [tex]H_A[/tex] : p < 30%     {means that a smaller proportion of students would say they want to reduce or be free of gluten}

The test statistics that would be used here One-sample z test for proportions;

                           T.S. =  [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of students who would say they want to reduce or be free of gluten = [tex]\frac{5}{25}[/tex] = 0.20

            n = sample of students taken = 25

So, the test statistics  =  [tex]\frac{0.20-0.30}{\sqrt\frac{0.20(1-0.20)}{25} {} }[/tex]

                                     =  -1.25

The value of standardized z test statistic is -1.25.

Using the z-distribution, it is found that the value of the standardized test statistic for this significance test is:

D) –1.091

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is of less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

For this problem, the parameters are:

[tex]p = 0.3, n = 25, \overline{p} = \frac{5}{25} = 0.2[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.2 - 0.3}{\sqrt{\frac{0.3(0.7)}{25}}}[/tex]

[tex]z = -1.091[/tex]

A similar problem is given at https://brainly.com/question/24166849

Can y’all answer this or not !?

Answers

Answer:

b

Step-by-step explanation:

Answer:

x=417.6

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5x+78.2=287

Step 1: Subtract 78.2 from both sides.

0.5x+78.2−78.2=287−78.2

0.5x=208.8

Step 2: Divide both sides by 0.5.

0.5x   divided by 0.5

208.08 divided by 0.5

Other Questions
What is 4/12 x 70.please help me In the diagram ABD and BDC are supplementary, the measure of EDF = 9x, and the measure of ABD = (2x + 105).Based on this information, which equation can be used to find the value of x?Options:1. 9x=2x+1052. 2x+105+9x=1803. 2x+105+9x=804. 2x+106-9x=90 Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands.The table shows the numbers of kernels and berries on two of Belinay's garlands. Based on the ratio, complete the missing values in the table. A mirror should be centered on a wall the mirror is 4 feet wide in the wall is 20 Feet wide what equation helps determine the distance X on each side of the mirror State the degree of each expression.1) 10x10 + x Which of the following descridbes the translation of the graph of y=x^2 to obtain the graph of y=-x^2-3 .5s+1=7+4.5s solve for s What is the adjective phrase in this statement. A woman in financial difficulties requested me to help her Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002. Steven nas a deck OF 52 playing cards, as shown below. Determine thetheoretical probability of each event. Express each probability as a fractionsimplest form.A. Randomly selecting a red cardB. Randomly selecting a 7, 8, 9, or 10C. Randomly selecting the 6 of diamondsD. Randomly selecting a card that is not a king Someone plz helppppp is the normal resting position of an object. What is the value of n? 20 points! (point13. Prior to the arrival of the Spanish, Native Americans would likely havechosen which material with which to weave their blankets?oat woolsheep woolcotton Please answers only , 100 pts and brainliest, wrong answers will be reported.What is the molarity of 9.8 gram Sulfuric Acid in 500 mL of water? Question 1(Multiple Choice Worth 1 points)Choose the correct amount:Elle paie ________ euros. 29 39 32 21 A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.LanguageSpanish French GermanSystem 1 9 12 1313 16 17System 2 9 15 1913 17 25Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.Complete the following ANOVA table (to 2 decimals, if necessary).Source of Variation Sum of Squares Degrees of Freedom Mean Square FFactor A Factor B Interaction Error Total The p-value for Factor A is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 18What is your conclusion with respect to Factor A?- Select your answer -Factor A is significantFactor A is not significantItem 19The p-value for Factor B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 20What is your conclusion with respect to Factor B?- Select your answer -Factor B is significantFactor B is not significantItem 21The p-value for the interaction of factors A and B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 22What is your conclusion with respect to the interaction of Factors A and B? Enter the correct answer in the box. What is this expression in simplified form? 3\sqrt{88} Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above? please helpThis spinner has 6 equal sections. what are the odds in simplest form against spinning blue or yellow?A) 1:2B) 2:3C) 3:2D) 2:1