A bag of M&Ms contains 7 blue, 4 brown, 4 orange, 2 yellow, 3 red, and 3
green. Reaching into the bag, a person grabs 5 M&Ms.
What is the probability of getting 3 blues?

Answers

Answer 1

Answer:

0.1248 = 12.48% probability of getting 3 blues.

Step-by-step explanation:

The M&Ms are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

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

In which:

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.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

7 + 4 + 4 + 2 + 3 + 3 = 23 total M&Ms, which means that [tex]N = 23[/tex]

Sample of 5 means that [tex]n = 5[/tex]

7 blue means that [tex]k = 7[/tex]

What is the probability of getting 3 blues?

This is P(X = 3).

[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 = 3) = h(3,23,5,7) = \frac{C_{7,3}*C_{16,2}}{C_{23,5}} = 0.1248[/tex]

0.1248 = 12.48% probability of getting 3 blues.


Related Questions

if a=1 and b=2 what is the value of a²+b²?​

Answers

Answer:

1^2+2^2=5

Step-by-step explanation:

Answer is 5..

anyone know who Howard is ?​

Answers

Answer:

Howard stark or Howard the duck?

lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities

Answers

Answer: 19/28

Step-by-step explanation:

9/28 participate, so that means that ? dont participate.

28/28 = 1 whole

28 - 9 = 19

so 19/28 students do not participate in after school activities.

The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a

Answers

Answer:

Step-by-step explanation:

http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf

You can find it in this site

Find the measure of angle BAC. (The figure is not drawn to scale.)
A. 22
B. 34
C. 68
D. 136​

Answers

If angle BOC in circle is 68° then the measure of angle BAC is 34°.

Given that angle BOC in the circle is 68°.

We have to find the angle BAC.

We have that m∠BOC=arc BC ------by central angle.

we have m∠BOC=68°.

therefore arc BC=68°.

We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1

In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.

We have that arc BC=68°

substitute arc BC in equation 1 to get the measurement of ∠BAC.

m∠BAC=[tex]68/2[/tex]

=34°

Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.

Learn more about angles at https://brainly.com/question/25716982

#SPJ1

Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams

Answers

I think it’s Venn diagrams, sorry if im wrong.

Answer:

Venn diagrams

Explanation:

A Venn diagram is a widely used diagram style that shows the logical relation between sets.

A jar contains 4 marbles marked with the numbers 1 through 4. You pick a marble at random. What is the
probability of not picking the marble marked with the number 3? Enter your answer as a simplified
fraction.
The probability of not picking the marble marked with the number 3 is

Answers

Answer:

p =favorable outcome/possible outcome

p(not 3)=3/4

How many centimeters are equal to 0.4 inches? Remember, 2.54 cm = 1 in.
Enter you number as a decimal and round to the nearest hundredth. 

Answers

1.02 centimeters is your answer

Answer:

1.016 cm

Step-by-step explanation:

1 inch = 2.54 cm

0.4 inch = 2.54 * 0.4 cm = 1.016 cm

Find the value of x.

Answers

Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?

Answers

5:6?
Is this it I’m not sure

Please help me please

Answers

Answer:

F

Step-by-step explanation:

Andrew, Blake, Jamal, Ernesto

Let ​g(x)x and ​h(x)
. Evaluate .

Answers

9514 1404 393

Answer:

  h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

  [tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]


P
13pls answer and will mark brainliest​

Answers

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1

Answers

I think b but not sure :)

Answer:B

Step-by-step explanation:

just took the test

What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

What is the arc measure of major arc ABC in degrees?

Answers

Answer:

123847323247647525547824817703412

Identify the missing measures

Answers

Answer: The value of the question mark should be 28 Since Angles are vertically Opposite

Given that the measure of ∠x is 149°, and the measure of ∠y is 110°, find the measure of ∠z.

Answers

Answer:

∠z is 79°

Step-by-step explanation:

Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.

Answers

Answer:

The surface area is 12 square yards.

Step-by-step explanation:

Is 12 yards big boss don’t worry

Find the value of x to the nearest tenth

Answers

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Find the value of x
7-10 plsss

Answers

Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

What is Polygons?

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

Learn more about Polygons here :

https://brainly.com/question/27331337

#SPJ2

Can I get some help on this can’t find any of the answers anywhere

Answers

Answer:

3(9)+20=47

Step-by-step explanation:

47 inches after 9 weeks

What is the measure of angle B in degrees?

Answers

Answer: how do I delete my answer?

Step-by-step explanation.

Here's the solution,

=》 C + 112° = 180°

( they form linear pair )

=》 C = 180° - 112°

=》C = 68°

And we know, measure of exterior angle if a triangle is equal to the sum of measures of the opposite interior angles,

So,

=》B = C + 51°

=》B = 68° + 51°

=》B = 119°

How do I find the right answer for b)

I got $2760.38 but the answer is $2760.37

Answers

Answer:

I guess u must  not round it off

Step-by-step explanation:

A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price​

Answers

Answer:

250 rupees

Step-by-step explanation:

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

1st one

Step-by-step explanation:

because it is

Answer:

Option 1

Step-by-step explanation:

In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.

The second one is the first one reversed, so it's ordered from greatest to lowest.

The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.

What is i86?
-i
-1
i
1

Answers

B. -i

I'm not sure abt it but that's the answer that showed up hope that helps

Answer:

-1

Step-by-step explanation:

Which of the following represents a coefficient from the expression given?

5x - 21 + x2

Answers

Answer:

1 or 5

Step-by-step explanation:

A coefficient is "a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy)".

So, in this case, the coefficient of 5x would be 5.

The coefficient of x^2 would be 1.

Hope this helps!

If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12

Answers

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

look at the picture above please help

Answers

Answer:

♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]

☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]

Height ( h ) = 4 cm , Base ( b ) = 16 cm

☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]

Area of the parallelogram

☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]

☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]

~Plug the known values & then multiply!

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]

☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]

♡ Hope I helped! ツ

Have a wonderful day / night !

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]

Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.

Other Questions
Acts as the digestive system inside a cell. It helps to break down old or unneeded parts of the cell, and substances that have been brought into the cell from the outside. WHO I AM? If Clarie bikes at an average speed of 7miles per hour, how many hours willit take her to ride 28 miles?28 hoursB4 hours9 hoursD14 hours Draw Aufbua diagram of sodium ion Determine the area of the rectangle. Write your answer as a decimal. 6. GAMA Corp. and FAMA Corp. have the same tax rate, sales, total assets, and basic earning power. Both companies have positive net incomes. GAMA Corp. has a higher debt to asset ratio and, therefore, a higher interest expense. Which of the following statements is CORRECT? a. GAMA Corp. has a lower times interest earned (TIE) ratio. b. GAMA Corp.has more net income. c. GAMA Corp.pays more in taxes. d. GAMA Corp. has a lower ROE. diferencia entre profeta y adivino Which entity enforces Section 1557 for programs that receive funding from on are administered by HHS? Determine whether the triangle with the given side lengths is acute,right, obtuse or not a triangle 14,16,27 how did belgian approach colonization please help me in biology! I will give brainliest. Help me . Thank you ! Bradbury has written in which literary genre?a. poetryb. short storiesc. dramad. all of these Which measure of center is best to use for this set of data?45, 39, 49, 37, 3, 51 The Fitzgerald paid $3,200 to heat their home in the year of 2018. By the end of the year 2019, they saw the cost of heating their home rose to $3,516 for the year. What could be use to find the difference in what they paid from 2918-2019? What is the Definition of Algebra? it provides background information setting and information about the characters a falling action beaks potions a climax d resolution Give three reasons why building apps might not be the sole source of income for an individual.no weird links YOU WILL BE REPORTED A) The climbers used their satellite phone to call the mountain rescue team. (MEANS) b)The mountain rescue team _________ a satellite phone. How did non-Western empires in the 19th century differ from the ideologies reflected in the sources?A. China remained relatively undeveloped, while the colonies of Spain and Great Britain underwent rapid economic and technological innovation.B. China sought to maintain cultural purity, while Spain and Great Britain sought to incorporate new cultures into their national identity.C. Japan sought to isolate itself, while the expansion of Spain and Great Britain drove a growing sense of global interconnection.D. Japan adopted elements of Western culture to compete globally, while Spain and Great Britain forced colonies to assimilate to their cultures. Write a question in Spanish to your friend Pedros mom asking if he can come to your house for dinner today. Then write a sentence that gives her response as an affirmative answer in Spanish.