A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4

Answers

Answer 1

The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.

How to find the mean (expectation)?

The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]

As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,

[tex]E(x) = \sum xP[/tex]

where x is the score and P is the probability of the score occurring.

[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]

Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.

Also, the probability of score 3 coming is maximum which is equal to 0.48.

Hence, the score that is most likely to occur is 3.

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Answer 2

Answer:c

Step-by-step explanation: just took the test


Related Questions

Sue is touring San Francisco with her family. They want to visit the Golden Gate Bridge, Alcatraz, and Chinatown before their dinner reservations at 7:30 P.M. They want to spend 45 minutes at the Golden Gate Bridge, 2 hours and 30 minutes on the tour of Alcatraz, and 1 hour and 15 minutes in Chinatown. What is the latest time Sue's family can start their tour of San Francisco and still make it to dinner on time?
please help n explain ily

Answers

Answer:

3pm

Step-by-step explanation:

so for this you want to work backwards, starting at 7:30pm because that's when they have dinner.

how i would solve this is I would add up all the amount of time they want to tour around San francisco

so 45 + 1hr15mins = 2hrs

2hrs +2hrs30mins= 4hrs30mins

so starting at 7:30 take away 4hrs 30mins

7:30 - 4hrs = 3:30pm

3:30 - 30 minutes = 3pm

They must start their tour at 3pm.

hope that helps :)

Answer:

The latest time Sue's family can start their tour but still make it home for dinner would be:
3:00 p.m




Step-by-step explanation:

Starting at 7:30pm because that's when they have dinner:
45min. + 1hr & 15mins = 2hours

2hours + 2hours & 30mins= 4hours & 30mins



Starting at 7:30 take away 4hrs 30mins:

7:30p.m - 4hrs = 3:30p.m

3:30 - 30 minutes = 3:00p.m

In conclusion, they must start their tour at 3:00 p.m to be able to reach dinner by 7:30 p.m (which is the latest time).




Have a great rest of your day
#TheWizzer

1 > -1/2x + 5 solve for x

Answers

Answer:

x is greater than 8

Step-by-step explanation:

what is the median of the data set below? 45 57 41 67 33 43 A.41 B.44 C.54 D.67

Answers

Answer:

41

Step-by-step explanation:

The middle number is the median

you answer is 44 because you have to put all the numbers in order from least to greatest then cross off the same amount from each side until you get to the middle number.

In exercises, 4 and 5, find the unknown or marked angles. ​

Answers

Answer:

alternate angle and counter

Help me, please! It's all in the question...!

Answers

Answer:

the answer is the first one

Step-by-step explanation:

because

Answer

c                                                  hope it helps

Find the area of the figure two red triangles

Answers

I need to see some picture or whatever the problem is

what is
Find p(rolling a 4)

Answers

Answer: 4/6

Step-by-step explanation: This because most dice have a  6 sides on them and others have more and if you roll a 6-sided dice you will get 4/6 of a probabilty that you will role a 4.

Hope This Helps!

somebody help me with this!


i haven't done this in a while, so i forgot how to do it

Answers

Step-by-step explanation:

x+48=180

x=180-48

x=132

have a good day

Answer:

x = 132°

Step-by-step explanation:

The exterior angle is equal to the sum of two opposite interior angles.

d = a + b, where d is the exterior angle, a and b are the two opposite interior angles.

d = 60 + 72

d = 132°

What is the radius of a circle given by the equation x2 y2 – 2x 8y – 47= 0?

Answers

Answer:

the answer is 8 units

Step-by-step explanation:

The radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units.

It is given that the circle equation is given by  [tex]\rm x^2+y^2-2x+8y-47=0[/tex]

It is required to find the radius of the circle.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We circle the equation:

[tex]\rm x^2+y^2-2x+8y-47=0[/tex]

Converting this equation into the standard form of the circle:

[tex]\rm (x-a)^2+(y-b)^2=r^2[/tex]

[tex]\rm x^2+y^2-2x+8y-47=0[/tex]

[tex]\rm x^2+y^2-2x+8y-47+1-1+16-16=0[/tex]  (by adding and subtracting by                  

                                                                         1 and 16)

     

[tex]\rm x^2-2x+1+y^2+8y+16-1-16-47=0\\\\\rm (x-1)^2+(y-(-4))^2-64=0\\\\\rm (x-1)^2+(y-(-4))^2=64\\\\\rm (x-2)^2+(y-(-4))^2=8^2 \\\\[/tex]

By comparing with the standard circle equation, we get:

r = 8

Thus, the radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex]  is 8 units

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If ∠QSR≅∠QST and QT=65, what is QR?

Answers

Answer:

it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.

Answer:

QR would equal 65

Step-by-step explanation:

It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)

Hope this helps!!

Have a wonderful day!!

Please rate and mark brainliest!!

If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

A. 18, 22, 24
B. 26, 30, 36
C. 26, 42, 68
D. 26, 42, 66

Answers

Answer:

10 + 16 = 26

16 + 26 = 42

26 + 42 = 68

(C) the next three terms are 26, 42, 68

A. Directions/Instructions:

Given

Solution (3 points)

Final Answer (1 point)

Ex. : 5ab( 4a3 + 2ab - 3b4)

=5ab( 4a3 + 2ab - 3b4)


=20a4b+10a2b2-15ab5

=20a4b+10a2b2-15ab5

1. (6k + 5)(5k + 5)









2. (a2+6a-4)(2a-4)









3. (4x2-5x-21)÷(x-3)










Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)













B. Directions/Instructions:


Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)


Given

Solution (2 points)

Final Answer

Example: 8c52d42

=8c52d42


=64c104d8

=16c10d8

1. (4x5y3)2









2. 18c8(-2c)2









3. 3a2bab24ab2c3c

Answers

Answer:

Hope the pictures will help. I have done what I knew

Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft. 3. Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft. 3. What are the widths of Kyle and Myla's boxes? Explain how you know.

Answers

The widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A storage box oftenly has the shape of a right rectangular prism.

We're specified that:

For Kyle's box:

Volume of the box = 12 cubic ftLength of the box = 2 ftHeight of the box = 3 ftWidth of the box = x ft (suppose)

For Myla's box:

Volume of the box = 16 cubic ftLength of the box = 4 ftHeight of the box = 2 ftWidth of the box = y ft (suppose)

Using the formula for volume of right rectangular prism to find the missing widths:

Case 1: For Kyle's box:

[tex]12 = 2 \times 3 \times x\\12 = 6 \times x\\\text{Dividing both the sides by 6}\\2= x\\x = 2 \: \rm ft[/tex]

Case 2: For Myla's box:

[tex]16 = 4 \times 2 \times y\\16 = 8 \times x\\\text{Dividing both the sides by 8}\\2= y\\y = 2 \: \rm ft[/tex]

Thus, the widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft

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passes through (-2, 1) and (2, -5)
I need to find the y=mx+b

Answers

Answer:

[tex]y = (-3/2)\, x + (-2)[/tex].

Step-by-step explanation:

If [tex](x_{0},\, y_{0})[/tex] is on the equation of the line [tex]y = m\, x + b[/tex], then substituting [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] into the equation would still give an equality: [tex]y_{0} = m\, x_{0} + b[/tex].

In this question, since [tex](-2,\, 1)[/tex] is a point on the line [tex]y = m\, x + b[/tex], equality shall still hold after substituting in [tex]x = (-2)[/tex] and [tex]y = 1[/tex]:

[tex]1 = m\times (-2) + b[/tex].

Similarly, since [tex](2,\, -5)[/tex] is a point on this line, equality shall still hold after substituting in [tex]x = 2[/tex] and [tex]y = (-5)[/tex]:

[tex](-5) = m\times 2 + b[/tex].

The unknowns of both equations are [tex]m[/tex] and [tex]b[/tex].

Solve this system of two equations and two unknowns:

[tex]\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.[/tex].

[tex]\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.[/tex].

Therefore, the equation of this line would be:

[tex]y = (-3/2)\, x + (-2)[/tex].

A line segment has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment?

Answers

Answer:

  32.2 units

Step-by-step explanation:

The length of a line segment can be found from its endpoint coordinates using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040

  d ≈ 32.2

The line segment is about 32.2 units long.

The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

We have two points (2, 10) and (18, -18)

From the distance formula:

[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]

[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]

[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]

[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units  or

d = 32.25 units

Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

Learn more about the distance formula here:

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#SPJ4

10 points !!!!!!!!!!!!

Answers

Step-by-step explanation:

the numbers are a bit cut off at the top.

do I understand it correctly that the question is when the balloon loses 6/8 of a cubic foot of air ?

if so, I need to point out that the balloon loses 1/8 of a cubic foot per day.

so, how many days until it loses 6/8 if a cubic foot ?

well, 6 times that of 1/8 of a cubic foot = 6 days.

Help!!!!! This is i-ready !!! Will mark brainiest please help!!!!

Answers

Answer:

I think answer C

Step-by-step explanation:

You can display how many toothbrushes were distributed each month on the dot plot :)

Have an amazing day!!

Please rate and mark brainliest!!

which expression is a perfect cube?

Answers

Answer:

it is option b

Step-by-step explanation:

Pls do let me know in the comments for complete explanation

What is the surface area of each figure 11 m 7 m 6 m?

Answers

Answer:

hi, I'm glad to help! 185

Step-by-step explanation:

11*7=77

11*6=66

6*7=42

77+66+42=185

What is 7 / 27 as a decimal rounded to 3 decimal places?

Answers

0.259 is the answer:)

Answer:

0.259

Step-by-step explanation:

7/27 = 0.25925926

Rounded to 3 decimal places = 0.259

hope this helps!! p.s. i really need brainliest :)

HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLIST

PLEASE SHOW HOW YOU GOT THE ANSWER!

Answers

Answer: 27

Step-by-step explanation:

Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

-4096
2048
4096
-2048

Answers

A geometric sequence has a common ratio.

The formula for the nth term is

[tex]\sf{a_n =ar^{n-1} }[/tex]

where,

an = nth term of the sequence,a = first term of the sequence and r = common ratio

Given -

A geometric sequence 2, -4, 8, ...

To find -

the 12th term of the given geometric sequence

Solution -

A.T.Q, a = 2 and r = -2

[tex]\rightarrow\sf{a_{12} =2(-2)^{12-1} }[/tex]

[tex]\rightarrow\sf{a_{12 }=2(-2)^{11} }[/tex]

[tex]\rightarrow\sf{a_{12} =2×(-2048) }[/tex]

[tex]\rightarrow\bf{a_{12 }=-4096 }[/tex]

Hence, the 12th term is -4096.

Which measurement is more precise? 45 fluid ounces or 79 cups

Answers

Answer:

45 fluid ounces

Step-by-step explanation:

Weight will be more accurate and consistent

To think of it simply, you may not always fill a measuring cup completely to the top and never spill out of it, weight is a given, cup measurements turn into a very close measurement that isn't 100% exact

Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. he then had a total of $19.75. let p represent the amount of money sam had in his pocket. which equation can you use to find the amount of money sam had in his pocket? how much money did sam have in his pocket?

Answers

Answer:

13.25$

Step-by-step explanation:

p+6.50=19.75

substract 6.50 on both side : p=13.25$

The total amount of money sam had in his pocket is $13.25.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. The total amount sam had was $19.75.

Here, let p represent the amount of money sam had in his pocket.

The equation formed

p + $6.50 = $19.75

p = $19.75 - $6.50

p = $13.25

Therefore, the total amount of money sam had in his pocket is $13.25.

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The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. If enrollment continues in the same trend, which of the following is a good prediction for eighth grade enrollment in 2010?
130
200
165
75

Answers

Considering the double line graph, it is found that a good prediction for eighth grade enrollment in 2010 is of 165.

What does the graph state?

It states that:

The number of students enrolled in the 7th grade is falling by about 20 students per year.The number of students enrolled in the 8th grade is increasing by about 20 students per year.

In 2009, there were 150 students enrolled in the 8th grade, hence an estimate for 2010 should be of about 165 or 170 students.

More can be learned about graphs at https://brainly.com/question/24808124

Answer:

165

Step-by-step explanation:

What is the trigonometric ratio for cosn? enter your answer, as a simplified fraction, in the boxes. $$ triangle l m n with right angle m. l m equals 15. l n equals 39. m n equals 36.

Answers

The trigonometric ratio will be Cos(n)=12/13

What will be the trigonometry ratio?

Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.

Given are the sides LM = 15, MN = 36, and LN = 39.

It says to find cos(n) = ?

So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.

We know that the cosine ratio is given by :-

[tex]Cos(n)=\dfrac{adjacent}{Hypotenuse}[/tex]

[tex]Cos(n)=\dfrac{MN}{LN}[/tex]

[tex]Cos(n)=\dfrac{36}{39}[/tex]

[tex]Cos(n)=\dfrac{12}{13}[/tex]

Hence the required ratio will be   [tex]Cos(n)=\dfrac{12}{13}[/tex]

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Lukas plotted these points on the number line.

Point A: −12
3

Point B: −2
3

Point C: −11
3

Point D: −22
3

Which point did he plot incorrectly?

Point
Please mark BRAINLIEST

Answers

Answer: Point A: −12 3

explanation: I hope that helps

HELPPPP URGNT!!!!!!!

Answers

The answer is x:8

Solution

Kite formula : 1/2(d1 x d2)

D1=15
D2=x

60=1/2 x15 x x
X=60x2/15
X= 4 x2
X=8

Do you have any doubt?

Write the name of the multiplication property that is being represented 8x(9-4) = (8x9)-(8x4) pleasee help

Answers

Answer:

The distributive property

Step-by-step explanation:

A pet store has 5 tanks of fish. Each tank has 30 fish. How many fish does the store have?

Answers

Answer:

30 fish

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

5 tanks with 30 fish each so 5x30

5x30=150

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