(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?

Answers

Answer 1

Answer:

101 - min, 5051 - max

Step-by-step explanation:

Minimum number of regions

You may have 100 parallel lines. This will give us 101 regions

Use following formula to find the maximum possible number of regions:

R(n) = 1 + n(n + 1)/2, where n is the number of linesR(100) = 1 + 100*101/2 = 5051

Related Questions

what is the circumference of a circle with diameter 14-inches long

Answers

Answer:

the circumstance is 43.98

? Steve has 7 biscuits in a tin. There are 3 digestive and 4 chocolate biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.​

Answers

Using the hypergeometric distribution, it is found that there is a 0.5714 = 57.14% probability that he chooses two different types of biscuits.​

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

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

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem, the values of the parameters are given as follows:

N = 7, k = 3, n = 2.

The probability that he chooses two different types of biscuits is P(X = 1), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 1) = h(1,7,2,3) = \frac{C_{3,1}C_{4,1}}{C_{7,2}} = 0.5714[/tex]

More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394

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which product is greater (-4) x (-6) or (-7) x (-8) explain how

Answers

Answer:

(-7) × (-8)

Step-by-step explanation:

(-4) × (-6) = 24

(-6) × (-7) = 42

The sum of two numbers is x . If one of the numbers is 12, what is the other?

Answers

Answer:

x - 12

Step-by-step explanation:

Given

12 + ? = x ( subtract 12 from both sides )

? = x - 12

The other number is x - 12

The sides forming the right angles and hypotenuse of a right angled triangle are x cm, (2x + 2) cm and (3x – 2) cm respectively. Calculate the perimeter of the triangle.

Answers

Answer:

6x

Step-by-step explanation:

Perimeter is the sum of all the sides:

(x) + (2x + 2) + (3x - 2)

Add like-terms:

6x + 2 - 2 = 6x

Perimeter = 6x

The formula for the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the height of the triangle. The area of the triangular sail of a sailboat is 126ft^2. The base is 12 ft. Find the height of the sail.

(Show steps please)

Answers

Answer:

H=21ft

Step-by-step explanation:

Height=2•Area/Base

Area=126ft^2

Base=12ft.

H=2•126/12=21ft

H=21ft

Hope this helps :)

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
\$

Answers

Answer:

$3.50

Step-by-step explanation:

111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.

Large boxes weigh 75 pounds, and small boxes weigh 40 pounds. a. Write an inequality that represents the numbers of large, x , and small, y, boxes a 200-pound delivery person can take on the elevator.

Answers

The inequality that represents the numbers of large, x and small, y boxes of a 200 pound delivery person is; 75x + 40y ≤ 200

Weight of large boxes = 75 pounds

Weight of small boxes = 40 pounds

Number of large boxes = x

Number of small boxes = y

Thus;

Total weight of large boxes = 75x

Total weight of small boxes = 40y

If the delivery man has 200 pound weight to deliver, then inequality is;

75x + 40y ≤ 200

Read more about Inequalities at; https://brainly.com/question/24966055

anyone please help me for brainly

Answers

Answer:

A.) [tex]f(x)=25x+40[/tex]

Step-by-step explanation:

Answer:

[tex]f(x)=25x+40[/tex]

Step-by-step explanation:

Hope this helps

solve pls brainliest

Answers

Answer:0.16 bar ontop of 6

Step-by-step explanation:

Answer:

0.166

Step-by-step explanation:

I did this about 2 years ago

half the quotient of 4 and a number y

Answers

Answer:

y = 1

Step-by-step explanation:

Hello!

2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.

The expression of half the quotient of 4 and a number y is gotten as; ¹/₂ * 4/y

How to solve algebraic questions?

From the definition of quotients, we know that a quotient is a result obtained by dividing one quantity by another.

Thus, quotient of 4 and a number y is; 4/y

To get half of the value above, we will just multiply it by half to get;

¹/₂ * 4/y

Read more about Algebra at; https://brainly.com/question/4344214

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write a linear equation that passes through the point (-3,3) and (9,-13)

Answers

Answer:

y=-4/3x-1

Step-by-step explanation:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } } [/tex]

[tex] \frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }[/tex]

y=mx+b like this:

y=-4/3x+b

To find b:

y=-4/3x+b. 

You can use either (x,y) point you want..the answer will be the same

(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.

(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.

the total cost of five equally priced dvd's is $55 how much does each dvd cost?

Answers

Answer: x=45/3

Step-by-step explanation:

11 dollars
11x5=$55

The sum of two numbers is 91 the difference of the two numbers is 67 what are the two numbers let x be the larger number and y be the smaller number

Answers

Answer:

x = 79

y = 12

Step-by-step explanation:

x + y = 91

x - y = 67

=> x = (91 + 67) : 2 = 79

=> y = (91 - 67) : 2 = 12

P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:

=> Larger number: (Sum + difference) : 2

=> Smaller number: (Sum - difference) : 2

If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.

Need help answering this question, and 4 others that are on my page. Giving Points and Brainiest.

Answers

h(x) = -4

Step-by-step explanation:

Simple. Plugging this into the equation will give us:

h(x) = -14 -(-40)/4 = -14+10

h(x)= -4

Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

Amy thinks that 2/5 in its simplest form is 1/2.5
Do you agree? Convince me​

Answers

Answer:

no

Step-by-step explanation:

2/5 is the simplest form in this question 1/2.5 would not mathematically go into 2/5

8b–9b–5b+7b
Simplify the expression:

Answers

Answer:

b, or 1b

Step-by-step explanation:

First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.

3 feet in 4 minutes
A._______________
B._______________ per 16 minutes

Answers

Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4×4=16, so multiply 3x4to get 12

A city has a population of 38,802,500 people. Esitmate this population to the nearest ten million

Answers

Answer:

40,000,000

Step-by-step explanation:

hope this works

( No Copy answer Use)

:)

Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.

Answers

Detail: 37









Answer: 69


Gummi


Blick: 55

[tex]\bold{ \sqrt{12} \times \sqrt{12} }=[/tex]

Answers

The answer will be 12
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers
12.
Hope this helped >_

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{12}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \sqrt{12} \times \sqrt{12} [/tex]

[tex] \sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 2 \times 3} [/tex]

[tex] \sqrt{2 \times 2 \times 3 \times 2 \times 2 \times 3} [/tex]

[tex]2 \times 2 \times 3[/tex]

[tex]12[/tex]

Jayden needed gloves
and bought 2 packages
of gloves. There were 5
pairs in each package.
He added this to the 3
pairs of gloves he
already owned. How
many gloves did Jayden
now own?

Answers

Answer:

Jayden has 13 pairs of gloves.

Step-by-step explanation:

2 packages multiplied by 5 pairs = 10

10 pairs plus 3 pairs he already had

= 13 pairs of gloves total  

Joseph is pouring concrete for his new patio. The area of the patio is 25.2 square feet
and the length is 7.2 feet. What is the width, w, of his patio?

Answers

Answer:

3.5ft

Step-by-step explanation:

A = L(W)

25.2 = 7.2(W)

3.5 = W

PLEASE HELP ME OUT!

25 cm = ______ mm

15 g = ______ mg

Answers

Answer:

25cm = 250mm

15g = 1500mg

Step-by-step explanation:

cm to mm = multiply by 10

therefore 25 x 10 = 250

g to mg = multiply by 1000

therefore 15 x 1000 = 15000

pls help!!

Dominick buys a package of soup mix that is 1.38 ounces. How many ounces are 6 packages of soup mix?​

Answers

Answer:

8.28

Step-by-step explanation:

this is the answer because

.08*6= .48

.3*6= 1.8

1*6=6

.48+1.8 = 2.28

6+2.28=8.28

16.093 x 10 to the third power





HELP ME PLEASE GOD

Answers

Answer:

16093

Step-by-step explanation:

I hope this helps!

Answer:

Your answer is 6,960,212.797357.

End of Answer

Step-by-step explanation:

(19.093 * 10)^3 OR

19.093 * 10 = 190.93

190.93^3 = 6,960,212.797357

End of Step-by-step explanation

Edit: I'm probably wrong this is the actual answer: 16093

Model a desert community where 19% of the area is
desert and the rest is houses.
squares represent the area of the community
that is desert.
The area of the community that is houses is
represented by squares.

Answers

Answer: the first one is 19 and the second is 81.

What is the answer to 3) 1 + 4x = −5 + 7x

Answers

Answer:

x = 2

Step-by-step explanation:

X=2 because

You subtract the one and carry it over to negative five which makes it negative 6 and it should be

4x = -6+ 7x

Subtract the 7x and carry it over to the 4x

And you should have

-3x=-6

And you divide by the negative 3 and since dividing a negative and negative gets a positive you should get this as your answer

X=2

I need help quickly

Answers

the answer is 6 (x- 5)= 36
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