1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tju [1.3M]
3 years ago
15

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

e chip has number 3 and rest is in pic

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0

Answer:

a.  Table completed

b.  E(X) = -0.5

c.  Miguel loses $0.5 each time he plays

Step-by-step explanation:

a.  The total outcomes S = {11, 13, 15, 13, 15, 35}

Let A be the event he wins $2 and B be the even he loses $1.

Then, A ={11} and

B = {13, 15, 13, 15, 35}

p(A) = \frac{n(A)}{n(S)} =\frac{1}{6}

p(B) = \frac{n(B)}{n(S)} =\frac{5}{6}

Then, the table would be as follows:

X_{i}            2    -1

p(X_{i})        \frac{1}{6}     \frac{5}{6}


b.  E(X) = X_{1}p(X_{1})+X_{2}p(X_{2})

=2(\frac{1}{6} )+(-1)(\frac{5}{6} )

=\frac{2}{6} -\frac{5}{6}

=\frac{2-5}{6}

=-\frac{3}{6}

=-\frac{1}{2}


c.  Based on the result (b), Miguel loses $0.5 each time he plays

swiftyhanban
2 years ago
thank you for explaining!
Blababa [14]3 years ago
3 0

To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.

The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)

We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.

You might be interested in
I WILL MARK BRAINLIEST PLS ANSWER!!!
pentagon [3]

Answer: 1.=c

2= 4

3= m=0.16875

4=b

5=c

3 0
3 years ago
The equation of the line of best fit of a scatter plot is y = −4x − 6. What is the slope of the equation?
spayn [35]
The slope-intercept form of a line is:

y=mx+b, where m=slope and b=y-intecept

So if y=-4x-6 the slope is -4.
6 0
3 years ago
Read 2 more answers
Select the reason why these triangles are
Brut [27]
AA because the angles are the same but the sides are not
3 0
2 years ago
Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. W
morpeh [17]

Answer:

The three buildings can look like following:

1. The building can look like a cube, with each side and height equal to 2.62 cm.

2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

Step-by-step explanation:

The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:

1. CUBIC SHAPE:

The building can look like a cube with the length of each side and height given as:

Volume of Cube = 18 cm³ = L³

L = ∛18 cm³ = 2.62 cm

<u>Thus, the building can look like a cube, with each side and height equal to 2.62 cm.</u>

<u></u>

2. CUBOID SHAPE:

The building can also look like cuboid with the following dimensions.

Length = 3 cm

Breadth = 1 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³

<u>Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.</u>

<u></u>

3. PYRAMID SHAPE:

The building can also look like pyramid with the following dimensions.

Length = 3 cm

Breadth = 3 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Pyramid = (Length * Breadth * Height)/3

Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³

<u>Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.</u>

<u></u>

<u></u>

5 0
3 years ago
AM is a median in △ABC (M∈ BC ). A line drawn through point M intersects AB at its midpoint P. Find areas of △APC and △PMC, if A
Snowcat [4.5K]

Answer:

The area of APC is 70m². The area of triangle PMC is 35m².

Step-by-step explanation:

Let the area of triangle ABC be x.

It is given that AM is median, it means AM divides the area of triangle in two equal parts.

\text{Area of }\triangle ACM=\text{Area of }\triangle ABM=\frac{x}{2}    .....(1)

The point P is the midpoint of AB, therefore the area of APC and BPC are equal.

\text{Area of }\triangle APC=\text{Area of }\triangle BPC=\frac{x}{2}          ......(2)

The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.

\text{Area of }\triangle APM=\text{Area of }\triangle BPM=\frac{x}{4}        .....(3)

The area of triangle APM is 35m².

\text{Area of }\triangle APM=\frac{x}{4}

35=\frac{x}{4}

x=140

Therefore the area of triangle ABC is 140m².

Using equation (2).

\text{Area of }\triangle APC=\frac{x}{2}

\text{Area of }\triangle APC=\frac{140}{2}

\text{Area of }\triangle APC=70

Therefore the area of triangle APC is 70m².

Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².

\triangle BPC=\triangle BPM+\triangle PMC

70=35+\triangle PMC

35=\triangle PMC

Therefore the area of triangle PMC is 35m².

8 0
3 years ago
Other questions:
  • How many different rotational symmetries does a square have?​
    15·2 answers
  • Find a equation for the line, in point-slope form, that contains (5,1) and is perpendicular to 6x − 3y = 2.
    10·1 answer
  • Please help with this, I do not have a graphing calculator at the moment
    6·1 answer
  • Linda earns $5.25 and spent $3.75 one week the next week she earned $4.40 and spent $2.25 how much money did Linda have left aft
    12·1 answer
  • A company is reviewing tornado damage claims under a farm insurance policy. Let X be the portion of a claim representing damage
    15·1 answer
  • What is the GCF of <br> 4x3 and 12x2y
    12·1 answer
  • Please help me on my math homework also please note that the answer in red is wrong. (This is serious)
    11·1 answer
  • Which of the following expressions is a polynomial?
    10·1 answer
  • Who want to help with my math final
    14·2 answers
  • Find the length of side BC.<br> Give your answer to 3 significant figures.<br> C<br> A<br> 71°<br> B
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!