Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn?

Answer:

Step-by-step explanation:

b

Step-by-step explanation:

(a)(i) The average rate of change is:

(895 − 455) / (250 − 150)

4.4

(a)(ii) Since the profit is linear, the slope of the line is equal to the average rate of change.  Using point-slope form:

y − 455 = 4.4 (x − 150)

Simplifying to slope-intercept form:

y − 455 = 4.4x − 660

y = 4.4x − 205

(a)(iii) The break-even point is when the profit is 0.

0 = 4.4x − 205

4.4x = 205

x = 46.6

(b)(i) The "demand function" is the selling pice of the compasses:

p = 40 − 4q²

where p is the price in dollars and q is the quantity in millions of units.

Profit is revenue minus cost.

P = R − C

P = pq − 15q

P = (p − 15) q

P = (25 − 4q²) q

P = 25q − 4q³

where P is the profit in millions of dollars and q is the quantity in millions of units.

(b)(ii) Find values of q when P = 18.

18 = 25q − 4q³

4q³ − 25q + 18 = 0

We know that q=2 is a root of this equation.  Using grouping:

4q³ − 8q² + 8q² − 25q + 18 = 0

4q² (q − 2) + (q − 2) (8q − 9) = 0

(q − 2) (4q² + 8q − 9) = 0

4q² + 8q − 9 = 0

Solve with quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

q = [ -8 ± √(8² − 4(4)(-9)) ] / 2(4)

q = (-8 ± √208) / 8

q = (-8 ± 4√13) / 8

q = (-2 ± √13) / 2

Since q is positive, q = (-2 + √13) / 2, or approximately 0.803.

Answer:

15 uniforms.

Step-by-step explanation:

830-80=750/50=15  : )

Answer:

A. 2

Step-by-step explanation:

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

Use any two points given in the table of values. Let's use (1, 5), (3, 9)

Let,

[tex] (1, 5) = (x_1, y_1) [/tex]

[tex] (3, 9) = (x_2, y_2) [/tex]

Plug these values into the slope formula:

[tex] slope (m) = \frac{9 - 5}{3 - 1} [/tex]

[tex] slope (m) = \frac{4}{2} [/tex]

[tex] slope (m) = 2 [/tex]

Answer:

Step-by-step explanation:

960/3. that's 320 a side. They said maximum, I'm guessing they just wanted you to use base times height as if it was a square, since I'm not seeing any other information. the maximum possible area would be, if the sides were 320 each would be 102,400 square feet. Maximum

Answer:

Addition

Step-by-step explanation:

Better to use addition since you already have a -4y and +4y. So if you add them together it will cancel out!

x = -5 and y = -6.

We can use either of the addition or subtraction as both will involve the same process of solving the equation.

We have a system of equations -

7x - 4y = - 11

7x + 4y = - 59

We have to investigate on the process of solving these equations.

A system of linear equations is a collection of one or more linear equations involving the same variables.

According to the question, we have -

7x - 4y = - 11

7x + 4y = - 59

We would subtract second equation from first as follows -

7x - 4y - (7x + 4y) = - 11 - (- 59)

7x - 4y - 7x - 4y = -11 + 59

-8y = 48

y = - 6

therefore -

7x - 4y = - 11

7x - 4(- 6) = -11

7x + 24 = -11

7x = -11 - 24

7x = - 35

x = -5

Hence, x = -5 and y = -6.

We can use either of the addition or subtraction as both will involve the same process of solving the equation.

To solve more questions on System of Linear equations , visit the link below-

https://brainly.com/question/17053411

#SPJ2

Answer: 23

Step-by-step explanation: Plug in your values:

7(5) + 4(-3)

35 + (-12)

35 - 12

23

Hope this helps!

Answer:

13 inches of snow

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply answer = - 106

Divide answer = 1.25

Answer:

2/121, 1/121

Step-by-step explanation:

Problem 1:

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters.

If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.

Thus we have a (2/11) * (1/11) chance to get that combination,

Which is 2/121.

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

Problem 2

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.

Thus we have a (1/11) * (1/11) chance to get that combination,

Which is 1/121.

Answer:

Supercalifragilisticexpialidocious is 34 letters long.

Step-by-step explanation:

I see you like Fortnite by your profile picture, I play as well. I'm an OG, I have Black Knight. That's why I think you should give it to me.

еthaȵ is my Epic if you ever want to play.

Answer:

380058.475044

Answer:

Step-by-step explanation:

380058.475044

Answer:

7:11

Step-by-step explanation:

No of linemen = 7

No of running backs = 2

No of fullback = 1

No of quarterback =1

The total no of players on the team = 7+2+1+1 = 11

We need to find the ratio of the number of linemen to the total number of players on the team.

R = 7/11

or

R = 7:11

Hence, the required ratio is 7:11.

Answer: 8

Step-by-step explanation:

You are correct. The answer is choice B.

The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.

Answer:

(A) c) 0.1

(B) a) 0.9

(C) b) 0.5

(D) b) 0.1

(E)  b) 0.18

Step-by-step explanation:

Given;

P(science) = 0.3

P(Arts) = 0.6

P(no degree) = 0.2

(A) The probability a student gets a Bachelor of Arts and Science degree;

= 1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is

= P(Science) + P(Arts)

= 0.3 + 0.6

= 0.9

(C) The probability a student gets only a Bachelor of Arts degree is

= P(Arts ) - P(Science and Arts)

= 0.6 - 0.1

= 0.5

(D) The probability a student gets a Bachelor of Arts and Science degree is:

1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(E) Independent case

= P(Science) and P(Arts)

= 0.3 x 0.6

= 0.18

Answer:

Two solutions.

hope that will help you

Answer:

A. zero

Step-by-step explanation:

3x + 13 = 3(x + 6) + 1

step 1. distribute 3 through the parantheses:

3x + 13 = 3(x + 6) + 1

step 2. cancel equal terms on both sides of the equation:

3x + 13 = 3x + 18 + 1

13 = 18 + 1

step 3. add the numbers:

13 = 18 + 1

13 = 19

13 ≠ 19, so there is no solution.

may i please have brainliest?

Answer:

22.778%

Step-by-step explanation:

0.22778/1*100/100=22.778/100

Answer:

convergent

Step-by-step explanation:

the function increases or decreases or as the number of terms of the series increases.

Answer:

Divergent

Step-by-step explanation:

The series can be written as:

∑ 1 / (4n − 1)

We can compare this to 1 / (5n).  1 / (5n) is smaller and diverges (p-series test).  Therefore, the larger function also diverges.

Answer:

One solution

Step-by-step explanation

Answer:

The cost of the dryer would be 425$

Step-by-step explanation:

796 - 54 = 742

742 ÷ 2 = 371

371 = washer cost

371 + 54 = 425

425 = dryer price

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

Explanation:

w = cost of washer

d = cost of dryer

costs are in dollars

w+d = 796 since the two costs combine to get a total cost of $796

w = d-54 because the washer is $54 cheaper

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

Let's start with the first equation and plug in the second equation

w+d = 796

(w) + d = 796

(d-54)+d = 796 ... replace w with d-54

d-54+d = 796

2d-54 = 796

2d = 796+54 ... adding 54 to both sides

2d = 850

d = 850/2 ... dividing both sides by 2

d = 425

The dryer costs $425

We can stop here.

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

If you want to find the cost of the washer, then,

w = d-54

w = 425-54 .... plug in d = 425

w = 371

The washer costs $371

Note that

w+d = 371+425 = 796

which matches with the total cost we were given. This confirms our answer.

Using the probability concept, it is found that:

a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.

b) The events are neither complementary nor mutually exclusive.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.

[tex]p = \frac{118}{2000} = 0.059[/tex]

There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

Item ii:

2000 - 302 = 1698 people are not in management, hence:

[tex]p = \frac{1698}{2000} = 0.849[/tex]

There is a 0.849 = 84.9% probability that the first person selected is not in management.

Item b:

If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Following are the solution to the given points:

For point a:

i)

[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]

Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.  

[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]

                    [tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]

ii)

[tex]\to P(D^c) = 1 - P(D)[/tex]

               [tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]

For point b:

Please find the attached file.

For point c:

Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.

Learn more:

brainly.com/question/20661176

Answer:

None

Step-by-step explanation:

First of all you have 12 balloonas, and you blow up 13 of them and your friend blows up 5 of them but you only have 12. So you can’t find the right amoun.

Answer:

The Awnser is 1/4

Step-by-step explanation:

Answer:

9

Step-by-step explanation: