There are five lines of length 1, 3, 5, 7, 9. Take randomly three straight segments from those five lines. Calculate the probability that the three selected segments can form a triangle

Answers

Answer 1

Answer:

3/10 or 30%

Step-by-step explanation:

Given the segments:

1, 3, 5, 7, 9

Number of combinations of 3 line segments out of 5:

5C3 = 5!/3!2! = 10

Triangle can be formed if only any side is smaller than the sum of the other  two sides.

Possible triangles:

(3,5,7), (3,7,9) and (5,7,9) - the number is 3

Probability:

Favorable outcomes/total outcomes = 3/10 or 30%

Related Questions

Hector spent $40.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $4.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Answer:

36.75 + 1 = 37.75 - 2.15 = 35.60/2 = 17.80

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the
new price for a total of $5.88.

Answers

Answer:

original price per pound = $1.21

Step-by-step explanation:

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of 5.88

write an equation to determine the original price per pound (p)

find the original price per pound

Let

p = original price per pound

3p = original price for 3 pounds

Additional increase = 0.75

Number of pounds = 3

3p + 0.75(3) = 5.88

3p + 2.25 = 5.88

3p = 5.88 - 2.25

3p = 3.63

p = 3.63/3

p = 1.21

original price per pound = $1.21

When 3 is divided by 9 what is the denominator?

Answers

Answer:

the equation is 9/3, so the denominator is the number under the line, so the denominator is 3.

Answer:

the denominator is 3! look up a division diagram to help u learn the terms of division.

Step-by-step explanation:

[tex]3=\frac{x}{3.3}[/tex]
what is x?

Answers

the correct answer is 9.9

Step-by-step explanation:

3 × 3.3 = 9.9

x = 9.9 ÷ 1 = 9.9

x = 9.9

Answer:

[tex]3 = \frac{w}{3.3} \\ [/tex]

Multiplying both sides of the equation by 3.3, we get

[tex]3 \times 3.3 = \frac{w}{3.3} \times 3.3 \\ 9.9 = w \\ \boxed{w = 9.9}✓[/tex]

★ w=9.9 is the right answer.

3x2- 4x + 2 = 0
Discriminant to determine

Answers

Use the values of a, b, and c to find the discriminant.

Answer: -8

Answer:

The answer is 2+/- 2 over(/) 3

Step-by-step explanation:

You use the discriminant formula :)

Use the Distributive Property to simplify the expression. 8(12+a)

HELP ME PLEASE I BEG OF YOU

I'm just a kid trying not to fail math

Answers

The answer is 96 + 8a I guess

Answer:

96.8a thats what I got

Step-by-step explanation:

hope this helps

9. Jamie ha ahorrado $ 42 del dinero de su asignación para comprar libros. Si compra 5 libros a d dólares por libro, le quedarán 42 5d de su asignación. ¿Cuánto le queda si los libros cuestan $ 3.50 cada uno?

Answers

Answer:

$24.50

Step-by-step explanation:

Jamie has saved $ 42 of his allowance money to buy books. If you buy 5 books at d dollars per book, you will have 42- 5d left of your allowance. How much is left if the books cost $ 3.50 each?

We have the equation

42 - 5d = Amount of Allowance left

d = 3.50

Hence:.42 - 5 × 3.50

= $42 - 17.5

= 24.5

how can you tell that the slope of the line through (2,2) and (-3,5) is negative without calculating

Answers

The y values decrease as the x values increase. If you picture the points in your head, you’ll see that (2,2) is to the right and lower than (-3,5), creating a negative slope.

I NEED HELPPPPPPPPP AHHHHHHHHHHHHHHHHHHHH
please TwT

Answers

Answer:

-3,3

Step-by-step explanation:

there are two space of distance from A to the reflected line

two spaces above the reflected line is -3,3

There are twice as many boys as girls in Ms. Lyn's chorale group. When 3 girls join the chorale, the new group has 24 members. How many boys and girls were there in the original group? ​

Answers

Answer:6tuytuyttyty

Step-by-step explanation:

Pls answer the four questions if they are true or false!!
Thanks!!

Answers

Answer:

..........

Step-by-step explanation:

False

False

True

True

Taylor got an Ulta gift card that had $20 on it. If she bought 3 lipsticks at $2.99 each
and a make-up bag for $4.59, how much money is left on her Ulta gift card?

Answers

$6.44 is left

Hope this helps! :D

Answer:

$6.44

Step-by-step explanation:

3x2.99=8.97

8.97+4.59=13.56

20.00-13.56=6.44

Parallelograms (5x+4). 59

Answers

Answer:

59 = (5x + 4)

x = 11

Step-by-step explanation:

59 = (5x + 4)

5x + 4 = 59

5x = 59 - 4

5x = 55

x = 55/5

x = 11

NEED HELP ASAP! ill give brainliest

Answers

Answer: (0,3) 2. no

Step-by-step explanation:

help me -30=5(x+1)−30=5(x+1) x=

Answers

x=-1
i think that’s what it is

Answer:

X=-7

Step-by-step explanation:

Divide then subtract to get x by itself

-30=5(x+1)

Divide each side by 5= -30/5=5(x+1)/5

-30=x+1

-6=x+1

-6-1=x+1-1 Subtract one to get x by itself

-6-1=x+1-1 (cross out both x's.

-6-1=x

Hope this helped

whats the slope of the line and whats in on the graph?

Answers

Answer:

-1 is the slope

Step-by-step explanation:

The rise is up 1 and the run is sideways 1.

Hope it helps!

PLEASE HELP



James had a collection of 500 Matchbox cars at the beginning of the summer.


After the summer, James had traded some of his Matchbox cars and now he has only 485 Matchbox cars.


What is the percent decrease of his Matchbox car collection?

Answers

500 - 485 = 15
1% = 5 (b/c 5 x 100 = 500)
check: 5 x 3 = 15

Lost 3%

Kinda a bad explanation but yea

What is the value of
[tex]2 {x}^{ - 2} {y}^{ - 2} [/tex]
for x = 3 and y = -2?
A.
[tex] \frac{1}{18} [/tex]
B. 72
C.
[tex]2 {( - 6)}^{ - 4} [/tex]
D. 1/648​

Answers

A or 1/18 is correct. Substitute values of x and y and solve.

1. What are the coordinates of the solution to this linear system
A. (2.1)
B. (-2,1)
C. (-1,2)
D. (2,-1)

Answers

I think (-1,2) for some reason my answer needs to be 20 characters long but that should be right.

pid 2. The perimeter of triangle GHI is 40 cm. If both triangles are similar, then what is the length of JT. 15 cm 15 cm Wool 10 cm G​

Answers

Write your answer below:

In ΔPQR, r = 4.9 cm, ∠R=21° and ∠P=104°. Find the length of p, to the nearest 10th of a centimeter.

Answers

Answer:

Step-by-step explanation:

The answer is  the length of p, to the nearest 10th of a centimeter is 13.3 cm .

What is the law  of sines ?

he Law of Sines (or Sine Rule) is very useful for solving triangles.

According to the law ,

When we divide side a by the sine of angle A

it is equal to side b divided by the sine of angle B

and also equal to side c divided by the sine of angle C

[tex]\rm \dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]

It is given that in Δ PQR

r = 4.9 cm

angle R = 21

angle P =104

Length of p needs to be found

Therefore by using above equation

[tex]\rm \dfrac{r}{sinR} = \dfrac{p}{sinP}[/tex]

[tex]\rm \dfrac{4.9}{sin21^{0}} = \dfrac{p}{sin104^{0}}[/tex]

p= 13.3 cm

Therefore the length of p, to the nearest 10th of a centimeter is 13.3 cm .

To know more about law of sines

https://brainly.com/question/17289163

#SPJ2

PLZ HELP!!!
multiply the polynomials.
(x+3)(x^2-6x+5)
A. x^3-3x^2-13x+15
B. x^3-6x^2+5x+15
C. x^3-6x^2-13x+15
D. x^3-3x^2+5x+15

Answers

the answer is A

:D :D :D :D :D :D :D

Zackary says that point c has the same location as point a because both points have the same coordinates.is Zachary right?explain why or why not

Answers

Can you show me a picture of the problem plead

Answer:No

Step-by-step explanation:

No because A was (3,4) and point C was (4,3).

I hope this helps !!

help with this question

Answers

Answer: yes y=12 is a solution to y over -6

Step-by-step explanation: you simply have to put 12 in for y. 12 divided by -6 = -2.

[tex] \frac{12}{ - 6} = - 2 [/tex]

[tex] - \frac{2}{1} = - 2[/tex]

Therefore, y = 12 is the correct solution.

We get -2/1 from 12/-6 by diving the top and bottom by 6.

12x + 15y = 9

−12x − 18y = −6
PLEASE I NEED EXPLANATION THANKS

Answers

Answer:

x = 2

y = –1

Step-by-step explanation:

We need to solve this system of equations for the point where the two linear equations intersect. That means solving for one variable, then using that to solve for the other. But, I'm looking at this, and...

Well, I see an easy way to isolate y right now! See how one equation has 12x and the other has 12x? Adding the two equations together will cancel them out!

That gives us this equation:

12x – 12x + 15y – 18y = 9 – 6  — adding the expressions together

15y – 18y = 9 – 6  — cancel out the 12x

–3y = 3  — simplify the equation

–3y ÷ 3 = 3 ÷ 3  — divide by 3 to isolate y

y = –1  — simplify the equation

Now that we have our y-value, we can substitute into the equation and solve for x. I'm substituting into both to make sure y = –1 is part of the solution point (on a coordinate plane, this is where the functions intersect).

12x + 15y = 9  — original equation

12x + 15(–1) = 9  — substitute –1 for y

12x – 15 = 9  — simplify

12x – 15 + 15 = 9 + 15  — add 15 on both sides to isolate 12x

12x = 24  — simplify

12x ÷ 12 = 24 ÷ 12   — divide by 12 on both sides to isolate x

x = 2  — simplify

That's one equation. Let's check the other with these values to make sure (2, –1) is the solution point.

–12x – 18y = –6

–12(2) – 18(–1) ≟ –6

18 – 24 ≟ –6

–6 = –6 ✓

Yep, this is the solution we're looking for!

Hope this helps you understand the concept! Have a great day!

-2 (e+6)=-6 PLEASE HELP !!!!

Answers

Answer:

e=-3

Step-by-step explanation:

-2(e+6)=-6

/-2         /-2

e+6=3

 -6  -6

e=-3

hope this helps have a blessed day :)

Which best describes a standard thermometer...
EXPLAIN

Rational
Real Number
Whole Number
Integer

Answers

Answer:

inteager

Step-by-step explanation:

temperature can express both positive and negative

In a school, lessons are 55 minutes long. a) A maths lesson starts at 9:20am. What time does it end? b) A science lesson ends at 2:15pm. What time does it start?

Answers

Answer:

A. It ends at 10:15am

B. It starts at 1:20pm

Explanation:

A. Add an hour then subtract 5 minutes

B. Subtract an hour then add 5 minutes

Answer:

a- 10:15 b- 1:20

Step-by-step explanation:

a- there are 40 min remaining in the hour. Subtract that from 55, you get 15. That means the time is 10:15.

b- There are 15 min in the hour, subtract that from 55. You get 40, the time is 1:20

Please Help me!
If the sales-tax rate is 8%, how much will the total cost of a purchase of $200 be?

Answers

Answer:216

Step-by-step explanation:

because 200 times 8 percent = 16 so then you add 16 too 200 and get 216.

Can you plz help me with this question thx :)

Answers

Answer:

43.988 because it is the number of the math equals math equation and then I did it.

Answer:

In this case the numbers would be 13.48 because youre taking the circumfrence out of 14

Step-by-step explanation:

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