What is the slope of the line that passes through the points (-9, 8)(−9,8) and (-21, 10) ?(−21,10)?

Answer:

151°

Step-by-step explanation:

Pentagons interior angles are always 540°. So to solve, you must put

540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31). After solving this you will get x=14 and you can now substitute x in for measure s.

13(14) -31

182 - 31

measure of s = 151°

Answer: 151

Step-by-step explanation:

Step-by-step explanation:Pentagons interior angles are always 540°.

So to solve, you must put 540= (5x+2)+(10x-3)+(8x-19)+(7x-11)+(13x-31).

After solving this you will get x=14 and you can now substitute x in for measure s.

13(14) -31182 - 31 

measure of s = 151°

Step-by-step explanation:

profit = selling price - cost price

= $975 - $450

I'm just as confused as you are

Answer:

5/21

Step-by-step explanation:

Answer:

i dont know but the answer comes out as 0.238095

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{x^{-8}}{x^5}\\ \\ x^{-13}[/tex]

Answer:

6.71 unit

Step-by-step explanation:

Given that:

Legs of a right angle triangle are 3 and 6

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Both legs are adjacent and opposite

Hence,

Hypotenus = sqrt(3² + 6²)

Hypotenus = sqrt(9 + 36)

Hypotenus = sqrt(45)

Hypotenus = 6.708

Hypotenus = 6.71

Answer:

area of top and bottom (total of 2) = 4x4x2 = 32 yd^2

area of 4 sides = 4x1x4 =16 yd^2

32+16 = 48 yd^2

Answer:

y=-7

Step-by-step explanation:

Answer:

[tex]n = 5[/tex]

Step-by-step explanation:

Given

[tex]^nP_2 = 20[/tex]

Required

Find n

To do this, we apply permutation formula.

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

So, we have:

[tex]\frac{n!}{(n-2)!} = 20[/tex]

Expand the numerator

[tex]\frac{n(n-1)(n-2)!}{(n-2)!} = 20[/tex]

Divide by (n-2)!

[tex]n(n-1)= 20[/tex]

Expand

[tex]n^2 - n = 20[/tex]

[tex]n^2 - n - 20 = 0[/tex]

Expand

[tex]n^2 +4n -5n - 20 = 0[/tex]

Factorize

[tex]n(n+4)-5(n+4)= 0[/tex]

[tex](n-5)(n+4) = 0[/tex]

[tex]n - 5 = 0[/tex] or [tex]n + 4 = 0[/tex]

[tex]n = 5[/tex] or [tex]n = -4[/tex]

Since n cannot be negative, then:

[tex]n = 5[/tex]

Answer:

- Discount car rentals charges less daily

- After 3 days

Step-by-step explanation:

Required

Which charges less per day

When is the total cost the same

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have:

[tex](x_1,y_1) = (2,185)[/tex]

[tex](x_2,y_2) = (6,345)[/tex]

So, we have:

[tex]m = \frac{345 - 185}{6 - 2}[/tex]

[tex]m = \frac{160}{4}[/tex]

[tex]m = 40[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 40(x - 2) + 185[/tex]

[tex]y = 40x - 80 + 185[/tex]

[tex]y = 40x + 105[/tex]

So, the equation of the table (i.e. Discount Car rental) is: [tex]y = 40x + 105[/tex]

While the equation of Pay Less is: [tex]y = 55x + 60[/tex]

The company that charges less per day has the smaller slope and that is: Discount car rental because the slope (40) is less than the slope (55)

For the total cost to be the same, we simply equate both expressions:

i.e.

[tex]y = y[/tex]

[tex]55x + 60 = 40x + 105[/tex]

[tex]55x - 40x = - 60 + 105[/tex]

[tex]15x =45[/tex]

[tex]x = 3[/tex]

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Circles.

Since we know that, diameter is always twice of radius, and also one important point that,

A diameter is the longest chord of the circle passing from the centre of the circle, hence here,

BT is the diameter of the circle,

option c.) BT

Answer:

BT

Step-by-step explanation:

This is because a line which passes through the centre of a circle and falls on the circumference is called the diameter.

Answer:80 students

Step-by-step explanation:

80% of 100 is 80. :)

Answer:

they ate 1/3 and thrte is 2/3 left

Step-by-step explanation:

subtraction

One-third of the pizza will be left

Let the total amount of pizza eaten be "x

Total pizza ate = x/3 + x/3

Total pizza eaten = 2x/3

Amount of pizza left = x - 2x/3

Amount of pizza left = (3x-2x)/3

Amount of pizza left = x/3

Hence one-third of the pizza will be left

Learn more on ratio and proportion here: https://brainly.com/question/21602143

Answer:-4x^2+22x+-12cm^2

Step-by-step explanation:

Answer:

18 quarts

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

It is given that:

A quadrilateral is given in the picture.

As we know, in the parallelogram the diagonals of the parallelogram bisect each other.

In the figure, it is given that the diagonals are bisecting each other.

From the figure, the two opposite sides are parallel.

In the parallelogram the pair of opposite sides are parallel.

Thus, the provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

Learn more about the parallelogram here:

brainly.com/question/1563728

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Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Answer:

Step-by-step explanation:

The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.

2.89

Hope you got your answer.

Answer:

Hello, Guys..

The Answer for this would be this..

percentage of this will be 5% ..

Step-by-step explanation:

Hope you have received your answer..

Happy Learning!..

Answer:

Kindly check explanation

Step-by-step explanation:

Acceptable = a

Fails = f

For machines X, Y, Z ;

Sample space, S = {aaa, aaf, aff, fff, faa, afa, ffa, faf}

Total elements in sample space = 8

B.)

Elements of the set:

ZF={circuit from Z fails},

XA ={circuit from X is acceptable}.

ZF = {aaf, aff, fff, faf}

XA = {aaa, aaf, aff, afa}

C.)

c. Are ZF and XA mutually exclusive?

Check if ZF n XA = ∅

ZF n XA = {aaf, aff}

Hence, ZF and XA are not mutually exclusive

d. Are ZF and XA collectively exhaustive?

To be collectively exhaustive :

ZF u XA = Sample space

ZF u XA = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, aff, afa, faf, fff} ≠ sample space

Hence, ZF and ZA are not collectively exhaustive.

e. What are the elements of the sets

C={more than one circuit acceptable},

C = {aaa, aaf, faa, afa}

D={at least two circuits fail}.

D = {ffa, faf, aff, fff}

f. Are C and D mutually exclusive?

Check if C n D = ∅

C n D = ∅

Hence, A and D are mutually exclusive

g. Are C and D collectively exhaustive?

To be collectively exhaustive :

C u D = Sample space

C u D = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, faa, ffa, aff, afa, faf, fff} = sample space

Hence, C and D are collectively exhaustive.

Answer:

Its 9!

Step-by-step explanation:

6×3=18

18/2=9

Hope this helps and don't forget to follow!

Answer:

x = 63°, y = 27°

Step-by-step explanation:

We know that x + y = 90°

Since ∠ x and 117° are on the same line, they are adjacent angles and add up to 180°.

x + 117 = 180

x = 180 - 117

x = 63°

Now back to the first equation:

x + y = 90°

63 + y = 90

y = 90 - 63

y = 27°

Answer:

x=63

y=27

Step-by-step explanation:

x y 117 son suplementarios x+117=180, entonces para obtener x debemos de restarle 117 a 180

el angul x y y son complementarios x+y=90 , en el anterior x nos dio igual a 63, entonces 90-63=y(que y es 27)

Answer:

bucket of water = 50.397 lbs

Step-by-step explanation:

Pi(r^2)(h) = volume

3.14(6^2)(12) = 1356.48 in^3 = volume of bucket

one ft^3 = 12 x 12 x 12 = 1728 in^3

1356.48/1728 = 0.785 ft^3 (volume of bucket)

0.785(64.2) = 50.397 lbs

Answer:

13/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you have 5/8 of a large bottle of shampoo,

(5/8)*(3/10)=15/80=3/16

Answer: D

Step-by-step explanation:

The volume of the box is equivalent to 400 cubic inches.

Given is that a a box is 5 inches high, 10 inches wide, and 8 inches deep.

The volume of a cuboid is equivalent to -

V{C} = L x B x H

V{C} = 8 x 10 x 5

V{C} = 80 x 5

V{C} = 400 cubic inches

Therefore, the volume of the box is equivalent to 400 cubic inches.

To solve more questions on functions, expressions and polynomials, visit the link below -

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This question is incomplete, the complete question is;

Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73

Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps. You may need an appropriate population proportion (which you actually found in a previous problem).

Some data:

Total population: 2327

Indiana residents: 1845

Other: 482

Frequency table results for Total Sales:

Count = 2327

Total Sales                          Frequency

0 to 200                                1960

200 to 400                           303

400 to 600                            53

600 to 800                             9

800 to 1000                            2

Answer:

The probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Step-by-step explanation:

Given the data in the question;

p" = Indiana residents / Total population

p" =  1845 / 2327

p" = 0.7929

Now, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 will be;

P( 0.66 < p < 0.73 ) = P{ [x1 - p" / √( p"(1-p")/n )] < p < [x2 - p" / √( p"(1-p")/n )] }

we substitute

= P{ [0.66 - 0.7929 / √( 0.7929(1-0.7929)/99 )] < p < [0.73 - 0.7929 / √( 0.7929(1-0.7929)/99 )] }

=  P{ [-0.1329 / 0.0407] < p < [-0.0629 / 0.0407] }

= P{ -3.2654 < z < -1.5455 }

= ⊕( -1.5455) - ⊕(-3.2654)

from the standard normal table;

= 0.0618 - 0.0006

P( 0.66 < p < 0.73 ) = 0.0612

Therefore, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Answer:

A,C,and E!

Step-by-step explanation:

Obtuse=>90

Equilateral triangles do not have right angles, because then the angles wouldn't be equal!

Both acute and Equilateral have angles smaller than 90!

Hope this helps, and don't forget to follow!

Answer:

Have not done this in a while but I believe it is 81

Step-by-step explanation:

Please excuse me if I am wrong but hope this helps