A bag contains 5 pieces of string. The lengths of the pieces of string are 1 inch, 3 inches, 5 inches, 7 inches, and 9 inches. Suppose you pick three pieces of string from the bag at random and all pieces are equally likely to be chosen. What is the probability you can form a triangle with the three pieces

Answers

Answer 1

Answer:

30%

Step-by-step explanation:

There are 10 possible combinations of sticks that can be drawn from a group of 5 strings

 

5C3 = (5*4*3)/(3*2)   = 10 combinations, which are

1,3,5 ; 1,3,7 ; 1,3,9 ; 1,5,7 ; 1,5,9 ; 1,7,9 ; 3,5,7 ; 3,5,9 ; 3,7,9 ; 5,7,9

 

to make a triangle, the sum of any two sides must be greater than the third side and if you look at the possible combinations there are only three cases where that is true

 

so the probability for drawing three sticks that would make a triangle is 3/10 or 30%


Related Questions

Can somebody help me please.

Answers

I’m pretty sure it is 57?

A person walks on average 4000 steps per day. If one step is about 2 feet long, how much would the average person walk per week? HELP

Answers

Answer:

56000 ft

Step-by-step explanation:

4000 steps a day.

7 days in a week.

2 ft per step

so, we calculate how many steps in a week

4000 × 7 = 28000

and then we calculate the distance by saying each of these steps is 2 ft

so,

28000 × 2 = 56000 ft

as a little extra thought :

there are 5280 ft in a mile.

so, the person walks

56000 / 5280 miles = 10.61 miles

in a week.

what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>sp​

Answers

Step-by-step explanation:

what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>sp

I need help on this asap please!

Answers

Answer:

-8 5/20 , 4/25 , 9/20

Step-by-step explanation:

If there are negative numbers, those are the least. Let's say the number was -2 and -1. With a positive integer, 2 would be greater, but since it's negative, it's the least. SO -8 and 5/20 would be the least. Then putting the other two fractions into decimal form, or you can find the greatest common denominator, you'll find that 9/20 is greater than 4/25.

Find the length of each side and the
perimeter.
(5n -17) cm
(2n + 1) cm
n cm

Answers

7n-16

Step-by-step explanation:

Sry can u give me the picture

PLS HELP THIS IS DUE TODAY

Answers

Answer: You can find after i explain how

Step-by-step explanation:

Add the x's together

So the problem is 6x + 1 =

This is a triangle so it = 180

6x + 1 = 180

__________

Subtract 1 from itself so 6x crosses out

Then subract 1 from 180

Which = 179

Now, divide 6 from both sides 6x is crosses out

You are left with x = (the number you got when dividing 179 / 6)

Find the value of x.

Answers

Answer:

[tex]\textsf{x=22.5}[/tex]

Step-by-step explanation:

[tex]\textsf{According to intersecting tangent - secant theorem,}[/tex]

[tex]\textsf{x=1/2[(4x+5)-50]}[/tex]

[tex]\textsf{2(x)=4x+5-50}[/tex]

[tex]\textsf{2x=4x-45}[/tex]

[tex]\textsf{2x-4x=-45}[/tex]

[tex]\textsf{-2x=-45}[/tex]

[tex]\textsf{x= -45/-2}[/tex]

[tex]\textsf{x=22.5}[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Bryan is getting trained and licensed to be a truck driver. He only has $350 in his bank account. The training is free but gas costs 13 cents per mile. If he travels 1,254 miles, how much money will he have left in his bank account?
A. $186.98
B. $127.32
C. $64.83
D. $206.17

Answers

Answer:

186.98

Step-by-step explanation:

The cost of gas is the cost per miles times the number of miles

1254 * .13

163.02

Subtract this from the amount in the bank account

350-163.02

186.98

It’s A , because if it costs 13 cents per mile and he drives 1,254 you multiply the 13 with 1,254 which would give you 163.02 , (you need this to find how much money he spent ) after you just minus 350 wit 163.02 you get 186.98

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?

The equation has one zero because the discriminant is 1.
The equation has one zero because the discriminant is a perfect square.
The equation has two zeros because the discriminant is greater than 0.
The equation has no zeros because the discriminant is not a perfect square.

Answers

Answer:

The equation has two zeros because the discriminant is greater than 0.

Step-by-step explanation:

3x^2 – 7x + 4

a=3   b = -7   c=4

The discriminant is

b^2 -4ac

(-7)^2 - 4(3)(4)

49 - 48

1

Since the discriminant is greater than zero, there are two real solutions

Answer:

The equation has two zeros because the discriminant is greater than 0.

Step-by-step explanation:

(5x+1)(5x-1) what is the answer

Answers

(a+b)(a-b)=a^2-b^2

[tex]\\ \rm\Rrightarrow (5x+1)(5x-1)[/tex]

[tex]\\ \rm\Rrightarrow (5x)^2-(1)^2[/tex]

[tex]\\ \rm\Rrightarrow 25x^2-1[/tex]

Answer: 25x²-1

i have attached a graph of it if you need it :)

125 Children get one pen, there are 8
pens in a pack. How many pens are
needed?

Answers

Answer:

16 packs

Step-by-step explanation:

Take the number of children and divide by the number of pens in a pack

125/8

15.625

We need to round up to get the number of packs

16 packs

Answer:

125 pens and 16 packs.

Step-by-step explanation:

Given:

Each child gets 1 pen.There are 125 children.Each pack has 8 pens.

Each child gets 1 pen, so there needs to be 125 pens.

Since there are 8 pens in a pack, there will need to be:

125 / 8 = 15.62

Estimate:

16 packs

There needs to be 16 packs for the 125 children.

Please help!!!!!!!!!!!!!!!!

Answers

Answer:

.2

Step-by-step explanation:

There are 5+6+4+7+5+3 = 30 total

Girl who likes burgers = 6

P(Girl who likes burgers) = 6/30 = 1/5 = .2

Which is the simplified form of the expression (602)(99) *•(104)(4??
1
o
О.
p12760

Answers

Answer:

[tex]q^{-30}[/tex]

Step-by-step explanation:

[tex](p^{2}q^{5})^{-4}\cdot(p^{-4}q^{5})^{-2}\\=p^{-8}q^{-20}\cdot p^{8}q^{-10}\\=p^{-8+8}\cdot q^{-20+-10}\\=q^{-30}\\[/tex]

Answer ASAP please!

Which of the following statements is correct?

A :sin 42° = cos 52°
B:sin 90° = cos 90°
C:cos 30°= sin 70%
D:sin 80º = cos 10°
E:cos 60°= cos 30

Answers

Answer:

D

Step-by-step explanation:

A. Sin 42=0.669

Cos=52=0.617

B. Sin 90=1

cos 90=0

C. cos30=0.866

sin 70=0.940

D. sin80=0.985

cos 10=0.985

common ratio of the geometric sequence 6,42,294

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

If there is a common ratio, it can be found by finding the ratio of any two adjacent terms:

  42/6 = 7

The common ratio is 7.

PLEASE PLEASE PLEASE PLEASE HELPME I *REALLY* NEED HELP!!!
(ALL LINKS WILL BE REPORTED)
Which of the following pairs of triangles can be proven similar through SSS similarity? PHOTO ATTACHED :))

Answers

Answer:

A

Step-by-step explanation:

since there are 3 corresponding sides shown, the SSS similarity theorem can be utilized.

The area of a square of side X is 8. What's the area of a square of side 3x

Answers

Answer:

Step-by-step explanation:

We know, for square

[tex](side)^2=(Area)\\=>X^2=8\\[/tex]

∴[tex]X=2\sqrt{2}[/tex] unit

[tex]Now, Side=3X[/tex]

[tex]Then,Area=(3X)^2=(3*2\sqrt{2} )^2=(6\sqrt{2} )^2=72 sq. unit[/tex]

hope you have understood this...

pls mark my answer as the brainliest

The area of square of side 3X is 72 square unit.

What is square?

The square is a 4 sided figure, each side of the square is equal and make a right angle.

The area of square having sided a unit can be given by a² square unit.

Given that,

Area of square having side X is 8.

Since, formula for area of square having side X is X².

Implies that,

X² = 8

X = 2√2

The area of square having side 3X
side =3 × 2√2

side = 6√2

The area of square = (6√2)²

                                = 36 x 2

                                = 72

The area of square is 72 square unit.

To know more about Square on:

https://brainly.com/question/28776767

#SPJ2

round 1.89 to one decimal place

Answers

Answer:

1.9

Step-by-step explanation:

You round when the numbers behind the decimal are 5 or greater. This being said, you need to round from the number furthest away from the decimal. In this case it would be 9. 9 is greater than 5 so we round 8 up to 9 and get rid of the number behind it. We are left with 1.9

Find X.
Use angle center circle page for reference.
Explain your answer.

Answers

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Refer to the diagram below for letter names of points.

Using the theorem provided on the second image, we can conclude that [tex]m\angle AOC=2*m\angle ABC=2*100\textdegree = 200\textdegree[/tex]. Keep in mind that this is the reflex [tex]\angle AOC[/tex].

Because [tex]O \in DC[/tex], we know that [tex]DC[/tex] is a diameter by definition, which makes [tex]m\angle DOC = 180\textdegree[/tex].

Using the Angle Addition Postulate, we can write the following equation:

[tex]m\angle AOD+m\angle DOC=m\angle AOC[/tex]

Substituting the measures of each angle into the equation gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

Solving the equation for [tex]x[/tex] gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

[tex]x\textdegree + 180\textdegree - 180\textdegree = 200\textdegree - 180\textdegree[/tex] (Subtract [tex]180\textdegree[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]x\textdegree = 20\textdegree \rightarrow \bf x=20[/tex] (Simplify)

Remember that [tex]x=20[/tex], not [tex]20\textdegree[/tex] because the degree symbol was already given in the original expression. Hope this helps!

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

C

Step-by-step explanation:

The sum of three times a number and 6 is 4 times the difference of a number and "-3"

Answers

Answer:

x = 30

Step-by-step explanation:

i hope it help, sorry if its wrong

(a+2b)^2
.............

Answers

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

Một ôtô đi từ A đến B với vận tốc 60km/h và đi từ B về A với vận tốc 45km/h. Thời gian cả đi và về hết 7giờ. Tính quãng đường AB

Answers

Please explain in english

Answer:

Đáp án: 180km

Step-by-step explanation:

Giải thích các bước giải:

Gọi quãng đường AB là x (km)

            (x > 0)

Thời gian ô tô đi từ A -> B là x/60 (h)

Thời gian ô tô đi từ B -> A là x/45 (h)

Vì thời gian cả đi và về hết 7h

=> x/60 + x/45 = 7

=> x = 180 (TM)

Vậy quãng đường AB là 180 km

Solve for a.
-4a – 2a – 7 = 11
a =
[?]

Answers

Answer:

a = [-3]

Step-by-step explanation:

-4a - 2a - 7 = 11

Combine like terms

-4a - 2a = -6a

-6a - 7 = 11

Add 7 to both sides

-6a = 18

Solve for a

a = 18/-6
••••••••••••••••••••••••••••••
doomdabomb:
All brainliest and thanks
are appreciated and
would mean a lot to me,
thanks!

a = -3
••••••

Answer:

or, -4a - 2a -7 = 11

or, -4a -2a =11 +7

or, - 6a = 18

or, a= 18÷ -6

a= -3

Find the discount and the selling price, when:
(ii) the printed price =₹12750, discount= 25/3%

Answers

Answer:

12,741.66666

Step-by-step explanation:

12750 - 25/3%

= 12,741.66666

1. $25; 30% increase

Answers

Answer:

32.5

Step-by-step explanation:

25, percentage increased by 30% (percent) of its value = 32.5

32.5 is the answer of this question

What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6


please explanation needed

Answers

Let the adding value be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{2+x}{5+x}=\dfrac{5}{6}[/tex]

[tex]\\ \sf\longmapsto 6(2+x)=5(5+x)[/tex]

[tex]\\ \sf\longmapsto 12+6x=25+5x[/tex]

[tex]\\ \sf\longmapsto 6x-5x=25-12[/tex]

[tex]\\ \sf\longmapsto x=13[/tex]

plzzzzzzz help asap!!!!!! T.T

Answers

C

since the graph is almost symmetrical then the mode,median and mean are approximately equal

The sum of twice a number and 13 is 75.

Answers

Answer:

The value of this number is 31.

Step-by-step explanation:

To solve this you could set up an equation and solve for x.

Sum means add, so you are going to add 2n and 13 to get 75.

2n + 13 = 75

Subtract 13 from both sides.

2n = 62

To get n alone, divide by 2 on both sides.

n = 31

The value of this number is 31.

Have a nice day, please mark brainliest if possible! :)

Simplify 9x + 4 + 2x + 2 by combining like terms.

Answers

Answer:

11x+6

Step-by-step explanation:

9x + 4 + 2x + 2

Combine like terms

9x+2x   + 4 +2

11x     +6

Answer:

11x + 6

Step-by-step explanation:

9x + 4 + 2x + 2

Combine like terms

9x + 2x = 11x

Combine like terms

4 + 2 = 6

Answer: 11x + 6
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