Finding missing angles

Answer:

y= -3.7x+100.94

Step-by-step explanation:

Generally this type of problems is solved by using a calculator or a spreadsheet. Now, getting the final equation depends on the model of calculator you are using, so I will suggest you look for the instructions on your calculator's instruction manual. I'll provide indications for using excel.

So first you need to input the table on an excel sheet. You can input them just the same way they were given to you. (See attached picture)

Once you inputed them, you can highlight them and go to the insert tab. There you can pick the scattering plot option. Once the scatterplot is graphed, you can right-click on the graph and a menu should appear. Pick the option add tendency line. Choose the line option and below, you can mark the option present equation on the graph and present the value of R. And that will be it! Excel will automatically provide you with the equation of the regression line you need.

Most scientific calculators nowaday can provide you with the equation, you just need to input the data and they will return the slope and y-intercept of the line.

There are other formulas you can use to find this regression by hand, but they are generally used in statistics courses.

Answer:

The picture on the bottom right.

Step-by-step explanation:

There are eight compartments and seven of it is shaded and the other one five of the eight compartments are shaped.

I hope this helps :)

Answer:

39

Step-by-step explanation:

Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.

The solution is: 39 is the perimeter of XYZ.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

Angle AQC, AQB and BQC are 120deg.

(360/3=120).

Therefore, Angle BZC, CXA and AYB are 60deg.

Because, angle BZC is half of angle BQC.

same for the other three angles.

As, all 3 angles are 60deg, it is an equilateral triangle.

So, YZ is 13

therefore as all 3 sides are equal

its 13*3=39.

Hence, 39 is the perimeter of XYZ.

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Answer:

4159277

Step-by-step explanation:

156218 and 8162336

Add the two numbers and divide by 2

(156218 + 8162336)/2 =

8318554/2=

4159277

Answer:

4159277

Step-by-step explanation:

156218+8162336

=8318554

8318554 divided by 2 = 4159277

you add both numbers and divide by how many you added

Answer:

a.) dx3x² + 2

Use the properties of integrals

That's

integral 3x² + integral 2

= 3x^2+1/3 + 2x + c

= 3x³/3 + 2x + c

= x³ + 2x + C

where C is the constant of integration

b.) x³ + 2x

Use the properties of integrals

That's

integral x³ + integral 2x

= x^3+1/4 + 2x^1+1/2

= x⁴/4 + 2x²/2 + c

= x⁴/4 + x² + C

c.) dx6x 5 + 5

Use the properties of integrals

That's

integral 6x^5 + integral 5

= 6x^5+1/6 + 5x

= 6x^6/6 + 5x

= x^6 + 5x + C

d.) x^6 + 5x

integral x^6 + integral 5x

= x^6+1/7 + 5x^1+1/2

= x^7/7 + 5/2x² + C

Hope this helps

x+-2*2-3x-7

x+4-3x-7

x+1.x-7

x.x-7

2x-7

Answer:

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Step-by-step explanation:

x² / (x + y) = y² + 7

x² = (x + y) (y² + 7)

Take derivative of both sides with respect to x.  Use power rule, product rule, and chain rule.

2x = (x + y) (2y dy/dx) + (y² + 7) (1 + dy/dx)

Simplify.

2x = (2xy + 2y²) dy/dx + y² + y² dy/dx + 7 + 7 dy/dx

2x = (2xy + 3y² + 7) dy/dx + y² + 7

2x − y² − 7 = (2xy + 3y² + 7) dy/dx

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Answer:

4/7

Step-by-step explanation:

The numbers 7 or odd are 1, 3, 5, and 7.

4 numbers out of 7.

P(7 or odd) = 4/7

Answer:

7. f⁻⁻¹(x)=x-3                 11. f⁻⁻¹(x)= 2x/(1-x)

Step-by-step explanation:

to find the inverse of an expression:

1. change f(x) to y.

2. switch the x and y values.

3. solve to find y.

So....                                                              

7.) f(x)=x+3                              11.) f(x)=  x/(x+2)

y=x+3                                            y=x/(x+2)

x=y+3                                            x=y/(y+2)

f⁻⁻¹(x)=x-3                                       f⁻⁻¹(x)= 2x/(1-x)

Answer:

A. System of equations:

[tex]3.2C+3P=48.5\\C+P=15.5[/tex]

B. 5.5 pounds of peanut butter fudge were sold.

Step-by-step explanation:

Given:

Cost of chocolate fudge = $3.20

Cost of peanut butter fudge = $3.00

Total pounds sold = 15.5

Total gross profit = $48.50

C is the number of pounds of chocolate fudge sold.

P is the number of pounds of peanut butter fudge sold.

To find:

System of equations and number of pounds of peanut butter fudge sold = ?

Solution:

As per given conditions:

1. [tex]C+P=15.5[/tex]

Gross profit from Chocolate fudge: [tex]3.20 \times C[/tex]

Gross profit from Peanut Butter fudge: [tex]3.00 \times P[/tex]

Total gross profit = [tex]3.20C+3.00P = 48.50[/tex]

So, the system of equations is:

[tex]3.2C+3P=48.5\\C+P=15.5[/tex]

2. To find P.

Let us solve the equations.

Multiply 2nd equation with 3 and subtracting from 1st equation:

[tex]0.2C = 48.5- 3 \times 15.5\\\Rightarrow 0.2C = 48.5- 46.5\\\Rightarrow C = 10\ pounds[/tex]

Putting in 2nd equation:

[tex]10+P=15.5\\\Rightarrow P =5.5\ pounds[/tex]

So, the answer is:

5.5 pounds of peanut butter fudge were sold.

Answer:

A.  A = 8h + 10

     A = 10h

B.  5 hours

C.  $50

Step-by-step explanation:

A.  https://brainly.com/question/17036764

Pizza Place:  A = 8h + 10

Hardware Store:  A = 10h

Since you had made a separate question for part A, I answered that.

B.  Kevin's earnings is represented by A.  Because we want the earnings for each job to be equal, set the two equations equal to each other.  Solve for h.

8h + 10 = 10h

10 = 2h

5 = h

Kevin has to work 5 hours.

C.  Plug 5 into each equation.

A = 8h + 10

A = 8(5) + 10

A = 40 + 10

A = 50

A = 10h

A = 10(5)

A = 50

Kevin will make 50 from each job.

Answer:

Greatest number = 9867

Smallest number = 1027

Step-by-step explanation:

Greatest number:

- - - 7

In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).

9867

Smallest number:

- - - 7

In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).

1027

Answer:

$2,160 is what he need for both daughters for 1 year

Step-by-step explanation:

90 x 2 = 180

180 x 12 = 2,160

Dominic need to budget a total of 2160 for a year of gymnastics for both daughters.

Multiplication is one of the basic mathematical operations which includes a number added repeatedly to times of the other number. The final answer is called the product of the numbers.

Multiplication is usually denoted as '×' sign.

a × b indicates that a is added repeatedly upto b times.

Cost for the gymnastics per month per child = 90

In order to find the cost per month for both daughters, we need to multiply 90 with 2.

Cost for the gymnastics per month for 2 daughters = 2 × 90 = 180

To find the total cost for an year, we need to multiply 180 with 12.

Total cost for the year = 180 × 12 = 2160

Hence the total budget for Dominic to send both the daughter in a year is 260.

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Answer:

b and I will be there at work and I will be there at work and I will be there at work and I will

Step-by-step explanation:

you are not going to be able to make it to the meeting tonight but I can tomorrow if you have time

Answer: a) 2401  b) 840 c)343  d)343  e) 686

Step-by-step explanation:

a) Total are 7 letters

There are 4 possible places in 4-letter word for each of 7 letter.

So total amount of the words is

7*7*7*7= 2401

b) No letter can be repeated mens that in 1st place can stay any of 7 letters,

in 2-nd place- any of 6 letters

in 3-rd place- any of 5 letters

in 4-th place any of 4 letters

Total amount of words is

7*6*5*4=840

c)  It is not written if the letters can be repeated. Assume that they can.

1st place occupied by letter A. So at 2-nd, 3-rd and 4th places can stay any of 7 letters

Total amount of words is

1*7*7*7=343

d) Similar case like c). At 1-st ,2-nd, 3-rd can stay any of 7 letters, and at 4th place the letter C (1 letter). Total amount of words is

7*7*7*1=343

e) There are 2 vowels A and E.  

So at 1st place can stay any of 7 letters, at 2-nd place -any of 2 letters, at 3-rd place- any of 7 letters and at 4th place any of 7 letters. Total amount of words is

7*2*7*7=686

The total number of 4-letter words possible is 2401

The total number of 4-letter words possible with no letter repeated is 840

The total number of 4-letter words possible with the first letter being A is  343

The total number of 4-letter words possible with the letter C at the end is 294.

The total number of 4-letter words possible with the second letter being a vowel is 1029.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(a) No condition is imposed:

There are 7 choices for the first letter, 7 choices for the second letter, 7 choices for the third letter, and 7 choices for the fourth letter.

The total number of 4-letter words possible.

7 × 7 × 7 × 7 = 2401

(b) No letter can be repeated in a word:

For the first letter, there are 7 choices.
For the second letter, there are only 6 choices left (since we cannot repeat the first letter). Similarly, for the third letter, there are only 5 choices left, and for the fourth letter, there are only 4 choices left.

The total number of 4-letter words possible with no letter repeated.

7 × 6 × 5 × 4 = 840

(c) Each word must begin with the letter A:

For the first letter, there is only 1 choice (the letter A). For the second letter, there are 7 choices (since any letter can be used).

For the third letter, there are 7 choices, and for the fourth letter, there are 7 choices.

The total number of 4-letter words is possible with the first letter being A.

1 × 7 × 7 × 7 = 343

(d) The letter C must be at the end:

For the fourth letter, there is only 1 choice (the letter C).

For the first letter, there are 7 choices (since any letter can be used).

For the second letter, there are 7 choices, and for the third letter, there are 6 choices (since the letter C cannot be used).

The total number of 4-letter words possible with the letter C at the end.

7 × 7 × 6 × 1 = 294

(e) The second letter must be a vowel:

For the first letter, there are 7 choices (since any letter can be used). For the second letter, there are 3 choices (the vowels A, E, and I).

For the third letter, there are 7 choices, and for the fourth letter, there are 7 choices.

The total number of 4-letter words possible with the second letter being a vowel.

7 × 3 × 7 × 7 = 1029

Thus,

The total number of 4-letter words possible is 2401

The total number of 4-letter words possible with no letter repeated is 840

The total number of 4-letter words possible with the first letter being A is  343

The total number of 4-letter words possible with the letter C at the end is 294.

The total number of 4-letter words possible with the second letter being a vowel is 1029.

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Answer:

a) 0.0498

b) 0.1489

c) 0.1818

Step-by-step explanation:

Given:

Number of telephones = 6+6+6= 18

6 cellular, 6 cordless, and 6 corded.

a) Probability that all the cordless phones are among the first twelve to be serviced:

12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂

Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.

The possible ways of selecting thr remaining 6 telephones = ¹²C₆

Probability of servicing all cordless phones among the first twelve:

= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)

[tex] = \frac{1 * 924}{18564} [/tex]

[tex] = 0.0498 [/tex]

b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:

Here,

One type must be serviced first

The 6 remaining to be serviced can be a combination of the remaining two types.

Since there a 3 ways to select one type to be serviced, the probability will be:

= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂

[tex] = \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}[/tex]

[tex] = \frac{2766}{18564} [/tex]

[tex] = 0.1489 [/tex]

c) probability that two phones of each type are among the first six:

(⁶C₂)³/¹⁸C₆

[tex] \frac{3375}{18564}[/tex]

[tex] =0.1818 [/tex]

Answer:

Total number of T-shirts= 200

Cost per T-shirt (without shipping ) = $2.80

Shipping cost per t-shirt ; 5% of a T-shirt = 0.05 *2.80 = $0.14

Total cost of T-shirt (shipping included) = 2.80 +0.14 = $2.94

Markup = 150% of total cost = 1.50 * 2.94 = $4.41

To get the price at which Michelle will sell each T-shirt , add total cost  to the markup; 2.94 +4.41 = 7.35.

Therefore, selling price will be $7.35

Answer:

x=9

Step-by-step explanation:

for this sort of a problem, I would set up a proportion

5/25=x/45

multiply both sides by 25 and 45

45*5=x*25

225=25x

x=9

Answer:

B. 3x+15 / 4x+10

Step-by-step explanation:

[tex]\frac{3x+}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex]  -> multiply by the reciprocal

[tex]\frac{3x}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex]  -> reduce the expression

[tex]\frac{3}{2x+5}[/tex] X [tex]\frac{x+5}{2}[/tex] -> multiply the fractions

[tex]\frac{3(x+5)}{2(2x+5)}[/tex]       -> remove parenthesis

and you get:

[tex]\frac{3x+15}{4x+10}[/tex]

-Hope this helps :)

Answer:

1.03 × 10-1

3.1 × 10-2

2.01 × 10-3

2.32 × 10-4

4.2 × 10-5

Step-by-step explanation:

Hope this helps you!

Answer:

1.03 × 10-1

3.1 × 10-2

2.01 × 10-3

2.32 × 10-4

4.2 × 10-5

Step-by-step explanation:

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

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

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

Answer:

see below

Step-by-step explanation:

9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank

We are replacing 9 with 10 minus something

9 = 10 -1

9 x 8 = (10 x 8) - ( 1 x 8)

           80 - 8

             72

Answer:

I wanna end myself bye random stranger.

Answer:

P = 0.5

Step-by-step explanation:

Let's call A the event that the second card is red suit and B the event that the second card is a heart.

So, the probability that the second card is a heart given that is a red suit is calculated as:

P(B/A) = P(A∩B)/P(A)

Additionally, the probability P(A∩B) that the second card is a red suit and is a heart is equal to the probability P(B) that the second card is a heart. So,

P(B/A) = P(B)/P(A)

Then, P(A) is equal to 0.5 because half of the cards are red cards and P(B) is equal to 0.25 because a quarter of the cards are red. Finally, P(B/A) is equal to:

P(B/A) = 0.25/0.5 = 0.5

Answer: Part 1: 1/52 Part 2: 15/26 Part 3: 1/26

Step-by-step explanation:

A ace of hearts is only 1 card

a 8 or a diamond a 8 is a 4/52 chance and a diamond is a 26 / 52 chance

26 + 4 = 30

30/52 simplifies to 15/26

A red 7 has a 4/52 chance for a 7 and half of that for a red card so 2/52 then 1/26

Answer:

187 ft/s

Step-by-step explanation:

Given in the y direction:

v₀ = 0 ft/s

Δy = 75 ft

a = 32 ft/s²

Find: t

Δy = v₀ t + ½ at²

(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²

t = 2.165 s

Given in the x direction:

Δx = 480 ft

a = 0 ft/s²

t = 2.165 s

Find: v₀

Δx = v₀ t + ½ at²

(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²

v₀ = 187 ft/s

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

There is a 0.9986 probability that a randomly selected 27​-year-old male lives through the year. A life insurance company charges ​$174 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$90 comma 000 as a death benefit. Complete parts​ (a) through​ (c) below.

a. From the perspective of the 27​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?

b. If the  27  -year-old  male purchases the policy, what is his expected value?

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

Answer:

a. The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $89,826

b. The expected value for a 27-year-old male is

E(x) = -$48

c. The expected value for the insurance company is

E(x) = $48

Step-by-step explanation:

The probability that a randomly selected 27​-year-old male survives is given by

P(survive) = 0.99864

The probability that a randomly selected 27​-year-old male does not survive is given by

P(not survive) = 1 - P(survive)

P(not survive) = 1 - 0.99864

P(not survive) = 0.0014

a. From the perspective of the 27​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?

If 27​-year-old ​male survives:

The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

If 27​-year-old ​male does not survive:

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $90,000 - 174

Value(not survive) = $89,826

b. If the  27-year-old male purchases the policy, what is his expected value?

The expected value for a 27-year-old male is given by

E(x) = P(survive)×Value(survive) + P(not survive)×Value(not survive)

E(x) = 0.9986×-174 + 0.0014×89,826

E(x) = -$48

The negative sign indicates that it is a loss from the perspective of the 27​-year-old ​male.

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

The expected value for the insurance company is given by

E(x) = 0.9986×174 + 0.0014×-89,826

E(x) = $48

The positive sign indicates that it is a profit from the perspective of the insurance company.

Answer:

1/7

Step-by-step explanation:

y=-7X

The slope of this line is -7

Perpendicular lines have slopes that multiply to -1

-7 * m = -1

Divide each side by -7

m = -1 / -7

m = 1/7

The slope of the perpendicular line is 1/7

Answer:

1/7

Step-by-step explanation:

Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.

So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).

to find perpendicular slope..

Step 1. Multiple -7 by -1 = 7

Step 2. Flip 7/1 to 1/7

Answer: 1/7 is perpendicular slope

Answer:

42

Step-by-step explanation:

7/8 = x / 48

We need to get a common denominator

Multiply the left side by 6

7/8 *6/6 = x/48

42/48 = x/48

Since the denominators are equal, the numerators must be equal

42 =x

Answer:

42

Step-by-step explanation:

7/8=42/48

Cross products: 7(48)=8x