A bowl of fruit contains seven pieces of fruit, including two bananas and five apples. Three pieces of fruit are chosen. What is the probability that one banana and two apples are chosen?

Answers

Answer 1

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

A combination refers to the selection of objects such that order does not matter. A permutation refers to the arrangement of objects such that order do matter.

Number of bananas = 2

Number of apples = 5

One banana and two apples are chosen.

So,

probability that one banana and two apples are chosen = [tex]\frac{C(2,1)\,C(5,2)}{C(7,3)}[/tex]

[tex]C(2,1)=\frac{2!}{1!(2-1)!}=2[/tex]

[tex]C(5,2)=\frac{5!}{2!(5-2)!}=\frac{5!}{2!31} =10[/tex]

[tex]C(7,3)=\frac{7!}{3!(7-3)!} =\frac{7!}{3!4!}=35[/tex]

So,

Probability that one banana and two apples are chosen = [tex]\frac{2(10)}{35}=\frac{4}{7}[/tex]

Answer 2

Answer:

Or 57.14%

Step-by-step explanation:


Related Questions

Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u

Answers

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

Helppppp plsss?!?!?!?!?!

Answers

Answer:

153.86

Step-by-step explanation:

3.14 x 7 x 7=153.86

On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park

Answers

4 ice cream shops
hope this helps!

Answer:

( 4 )

Step-by-step explanation:

Hope this helps

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Type in Brandon Acevedo

okay

miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?​

Answers

Yes, Miles is correct.

Help me please!!!!!!!!

Answers

Step-by-step explanation:

To solve the equation for s we've got to leave s alone

[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]

A circle has a diameter of 60m. What is its circumference?

Answers

The circumference would be 188.5m

Help! I honestly dont get this !

Answers

Answer:

i don't get that ether

Step-by-step explanation:

HELP WITH 4. AND 5. Thanks in advance

Answers

here’s the answers hope this helps

1079 divided by 4 Yeah Also whoever helps thank you :D

Answers

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls. He will pick one
ball at random. What is the probability that the next ball he randomly chooses will be
red or green?
Type the answer in the box as a fraction in simplest form.

Answers

Answer:

7/11 green or red balls

Step-by-step explanation:

5 + 3 + 2 = 11 = whole basket

5 + 2 = 7 = red + green

probability = 7 / 11  balls

Hope this helps!

The probability that the next ball he randomly chooses will be red or green is 7/10

Probability

From the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green

From the given information,

Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls

∴ Total number of possible outcome = 5 + 3 + 2 = 10

Now we will determine the probability of picking red

Using the formula,

[tex]P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}[/tex]

∴ [tex]P(R) = \frac{5}{10}[/tex]

For the probability of picking green

[tex]P(G) = \frac{2}{10}[/tex]

Then, the probability of red or green is

∴ [tex]P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}[/tex]

[tex]P(R \ or \ G) = \frac{7}{10}[/tex]

Hence, the probability that the next ball he randomly chooses will be red or green is 7/10

Lear more on Probaility here: https://brainly.com/question/251701

#SPJ 2

QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)

Answers

Answer:

a) Vf = at + Vi

b) 10 m/s

Step-by-step explanation:

Part A:

first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi

now bring the Vi over to the other side and flip the sign: at + Vi = Vf

this can be rewritten as Vf = at + Vi

Part B:

substitute the numbers: Vf = (2)(3) + 4

solve to get: Vf = 10 m/s

You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.



1) Write an equation to represent this situation.

2) How much will it cost you to play the game for 5 hours? Show your work.

Answers

Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

IF YOU ARE REALLY GOOD AT MATH PLEASE HELP ASAP!! Select all the correct answers on the table

Answers

Row 1:the second one down
Row2.the first and last one

Use the properties of logarithms to write the following expression as one logarithm.

3 ln(x) + 2 ln(y) − 4 ln(x + 1)

Please show your work and explain, I would like to learn how to complete this type of problem!

Answers

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]

Factor completely n2+3n+2

Answers

I’m assuming you mean n^2 + 3n + 2?

The 2 on the right has factors of 2 and 1, which can also add together to get three. We will use these numbers to factor.

We are left with:
(n+2)(n+1)

This is it’s factored form. Good luck!

PLASE ANSWER THIS!! MARKING BRAINLEIST

Answers

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

Which of the following subsets of ℝ3×3 are subspaces of ℝ3×3? A. The 3×3 matrices of rank 2 B. The 3×3 matrices in reduced row-echelon form C. The 3×3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) D. The diagonal 3×3 matrices E. The 3×3 matrices with all zeros in the second row F. The invertible 3×3 matrices

Answers

Answer:

The answer is "Option C, Option D, and Option E".

Step-by-step explanation:

In point, A: Its matrix (aA+bB) for A, B matrices of rank 2 is not always of rank 2. for Rank(A+B) is smaller or equivalent to RankA+B.

In point B: The two matrices, A, B, and each entry is equal to or larger than zero. Then, take a = -1 = b, and so all entries (aA+bB) belong to the subset are less than or equal to Zero.hence.

In point C: We get the matrix (aA+bB) for A, B matrices with trace 0. Trace zero.  (aA + bB) trace is  (a×trace(A) + b×trace(B)) thus null.

In point D: For Both A and B, the matrix (aA+bB) is again diagonal for two diagonal matrices.

In point E: For Both A and B matrices, each insertion in second row zero will also have the second-row matrix (aA+bB) as zero.

In point F: In this case, A and B must become two reduced raw echelons, so that A+E is also a reduced raw shape.

Use polynomial identities to prove that 63^2=(60+32)^2

Answers

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3

Find the length of the side x in simplest radical form with a rational denominator.

Answers

Answer:

2.449489743

Step-by-step explanation:

What are the factors of x2+3x-40

Answers

(x-5)(x+8)

Let's factor
x
2
+
3
x

40
x
2
+
3
x

40
The middle number is 3 and the last number is -40.

Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?

We need two numbers that...
Add together to get 3
Multiply together to get -40
Can you think of the two numbers?

Try -5 and 8:
-5+8 = 3
-5*8 = -40

Fill in the blanks in
(x+_)(x+_)
with -5 and 8 to get...
(x-5)(x+8)

She don't believe in shooting stars,
but she believe in shoes and cars​

Answers

Dun dub what a bop


Thanks

Answer:

This aint a question right?

but for some reason its funny

Step-by-step explanation:

hah my since of humor is broken i luaght at everything

3x - 4 < 8 and 2x+ 2 > 4
20 points crq

Answers

Answer:

x<4 and x>1

Step-by-step explanation:

1) 3x-4<8

Add 4 to both sides first to isolate x.

3x-4<8

  +4 +4

3x<12

Divide both sides by 3.

3x<12

/3  /3

x<4

2) 2x+2>4

Subtract both sides by 2 to isolate x.

2x+2>4

   -2  -2

2x>2

Divide both sides by 2.

2x>2

/2  /2

x>1

Hope this helped!! Have an amazing day :3

Find Each Sum.
1) (-1)+(-46)=
2) (-30)+10=
3) (-34)+50=
4) 38+(-5)=

Answers

Answer:

1 is -47.

2 is -20

3 is 16.

4 is 33.

Step-by-step explanation:

Brainiest?

1. -47
2. -20
3. 16
4. 33

HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist

Answers

Answer:

you can have 35 tickets

Step-by-step explanation:

-6(x - 6) = x(16 - 7)
Help please

Answers

Answer:

the answer would be x equal 2.4

Step-by-step explanation:

sorry for my bad handwriting

is this correct or not​

Answers

Answer:

yes it is u did a good job

YOU ARE GIVEN AN APPLE AS A WEAPON...WHAT DO YOU DO NEXT?

(A) Keep the doctor away?
(B) Throw it hard enough to keep people away

DAILY DOSE OF MEMES TRY NOT TO OD PEEEPS

Answers

Answer:

a

Step-by-step explanation:

If you make your enemy's doctor away he will die of sickness

Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false

Answers

Answer: B

Step-by-step explanation:

I will give brainliest :)

Which equation represents this tape diagram?
44

• 4x+3x=44
• 4+(3+x) = 44
• 4(3+x)=44
• 4x+3=44

Answers

4(3+x) = 44 hope this helps

Un automóvil recorre 1000 Km y consume 95 L de gasolina. Si la gasolina tiene un precio de $18.75 por cada litro ¿cuánto cuesta recorrer cada Km, en $/Km? (redondear a tres decimales)

Answers

Answer:

$1781.25

1 x 95= 95

18.75 x 95= 1781.25

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