consider the raoll of the two dice. let x ve a random vasriable representing the sumof the dots appearing on each of the dice. the probability of each possible value of x are as follow
Answers
The expected value of X is 7, and the standard deviation of X is 2.42 respectively.
The average of X's potential values is the expected value of X. We must first determine the sum of all potential x values multiplied by each value's associated probability before we can determine the expected value.
Calculate the expected value of X
Expected value = (2×(1/36)) + (3×(2/36)) + (4×(3/36)) + (5×(4/36)) + (6×(5/36)) + (7×(6/36)) + (8×(5/36)) + (9×(4/36)) + (10×(3/36)) + (11×(2/36)) + (12×(1/36))
Expected value = 7
Calculate the variance of X
Variance = (2-7)2×(1/36) + (3-7)2×(2/36) + (4-7)2×(3/36) + (5-7)2×(4/36) + (6-7)2×(5/36) + (7-7)2×(6/36) + (8-7)2×(5/36) + (9-7)2×(4/36) + (10-7)2×(3/36) + (11-7)2×(2/36) + (12-7)2×(1/36)
Variance = 5.83
Calculate the standard deviation of X
Standard deviation = √(variance)
Standard deviation = 2.42
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Complete Question:
Consider the roll of two dice. Let X be a random variable representing the sum of the number of dots appearing on each of the dice. The probabilities of each possible value of X are as follows:
x P(x)
2 1/36
3 2/36
4 3/36
5 4/36
6 5/36
7 6/36
8 5/36
9 4/36
10 3/36
11 2/36
12 1/36
Determine the expected value and standard deviation of X.
Related Questions
if r = 0.49, what does the coefficient of determination equal? multiple choice 0.1465 0.2401 0.4357 0.4413
Answers
. Please HELP me WITH this EQUATION ; A triangle has two base angles of 35º and another angle of 110º. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled
Answers
Answer:
Isosceles
Step-by-step explanation:
Lisa represented the phrase '9 less than a number' with the expression 9-n.
Is her expression correct? Explain why or why not.
Answers
how do I solve for x ?
Answers
Answer: 4
Step-by-step explanation:
Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10]
Answers
2.1 The volume in ml of one can of cold drink is 83 ml.
2.2 The height of the cooler bag is 18 cm.
2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.
2.4 The circumference of the can is 18.84 cm.
How to calculate the volume of a cylindrical can?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height or length of a cylinder.r represents the radius of a cylinder.By substituting the given side lengths into the volume of a cylinder formula, we have the following;
Volume of can = 3.14 × (6/2)² × 8.84
Volume of can = 83.27 cm³.
Note: 1 cm³ = 1 ml
Volume of can in ml = 83.27 ≈ 83 ml.
Part 2.2.
For the height of the cooler bag, we have:
Height of cooler bag = 2 × height of can
Height of cooler bag = 2 × 8.84
Height of cooler bag = 17.68 ≈ 18 cm.
Part 2.3
Volume of cooler bag = length × breadth × height
Volume of cooler bag = 18 × 12 × 18
Volume of cooler bag = 3,888 ml.
Part 2.4
The circumference of the can is given by:
Circumference of circle = 2πr
Circumference of can = 2 × 3.14 × 3
Circumference of can = 18.84 cm.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
its all in the picture v
Answers
F(x) = -2x^2 +32
F(3) =-2(3)^2 +32
F(3)=-2(9)+32
F(3) =-18+32
F(3) = 14
X=14
Answer:
lynns is correct
Step-by-step explanation:
hduydgdgdududuegegdhdudggrhr
To prove the statement “If the dog does a trick, then the dog will get a treat” by proving its contrapositive, what statement should you prove? A) If the dog gets a treat, then the dog does a trick. B) If the dog does a trick, then the dog will not get a treat. C) If the dog does not do trick, then the dog will not get a treat. D) If the dog does not get a treat, then the dog will not do a trick.
Answers
Answer:C
Step-by-step explanation:
Contrapositive
the empirical rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. the heights of women at a large university are approximately bell-shaped, with a mean of 65 inches and standard deviation of 2.5 inches. use this information to answer the questions.(a) what is the probability that a randomly selected woman from this university is 67.5 inches or taller? (give the answer to two decimal places.)
Answers
Thus the probability that a randomly selected woman from this university is 67.5 inches or taller is 0.16
Let x be the height of the woman. Mean height of women μ = 65 inches
Standard deviation σ = 2.5 inches
By theorem if X ~ N( 65 , 2.5² )
then normal distribution Z = X - μ / σ ~ N(0,1)
68% of women have a height that falls within 1 standard deviation of the mean. That is P ( 62.5 ≤X ≤ 67.5) = 0.68
From symmetry and using probability, we can find the area under the bell-shaped curve for this interval. This area to the right of 67.5 under the bell-shaped curve ultimately gives us that the probability a randomly selected woman from the university is 67.5 inches or taller. This probability = 0.16
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if alpha and beta are zeros of the polynomial x² - 6 X + k find k such that (alpha+beta)²-2alha beta =40
Answers
Answer:
k = - 2
Step-by-step explanation:
Given α and β are the zeros of x² - 6x + k = 0 , with
a = 1, b = - 6 and c = k , then
α + β = - \(\frac{b}{a}\) = - \(\frac{-6}{1}\) = 6
αβ = \(\frac{c}{a}\) = \(\frac{k}{1}\) = k
Then solving
(α + β)² - 2αβ = 40
6² - 2k = 40
36 - 2k = 40 ( subtract 36 from both sides )
- 2k = 4 ( divide both sides by - 2 )
k = - 2
find the vertex of the graph of f(x)=-|0.75+1.5|
please explain how you found it
Answers
The graph of the function f(x) = -|0.75 + 1.5| has no vertex
How to determine the vertex of the function?From the question, the definition of the function is given as
f(x) = -|0.75 + 1.5|
From the above definition, we can see that:
The expression of the function f(x) has no occurrence of x
i.e. there is no presence of x in the expression -|0.75 + 1.5|
This means that the function is a linear function
Linear functions do not have vertices
Hence, there are no vertices in the function f(x)
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5#Consider the following random sample of diameter measurements (in inches) of 12 softballs.4.72, 4.74, 4.83, 4.75, 4.73, 4.87, 4.69, 4.7, 4.76, 4.7, 4.79, 4.76Send data to calculatorIf we assume that the diameter measurements are normally distributed, find a 90% confidence interval for the mean diameter of a softball. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.)Lower limit:??Upper limit:??
Answers
ANSWER:
Lower limit: 4.73
Upper limit: 4.78
STEP-BY-STEP EXPLANATION:
Given the following data set:
\(4.72,4.74,4.83,4.75,4.73,4.87,4.69,4.7,4.76,4.7,4.79,4.76\)We calculate the mean and standard deviation:
\(\begin{gathered} \mu=\frac{4.72+4.74+4.83+4.75+4.73+4.87+4.69+4.7+4.76+4.7+4.79+4.76}{12}=\frac{57.04}{12}=4.753 \\ \\ \sigma=\sqrt{\frac{\lparen4.72-4.753^2+\left(4.74-4.753\right)^2+\lparen4.83-4.753)^2+\left(4.75-4.753\right)^2+\left(4.73-4.753\right)^2+\lparen4.87-4.753)^2+\left(4.69-4.753\right)^2+\lparen4.7-4.753)^2+\left(4.76-4.753\right)^2+\left(4.7-4.753\right)^2+\left(4.79-4.753\right)^2+\left(4.76-4.753\right)^2}{12-1}} \\ \\ \sigma=0.054 \end{gathered}\)The critical limit of 90% confidence interval is 1.645
We can determine the limits as follows:
\(\begin{gathered} \text{ Lower limit: }\mu-Z\cdot\frac{\sigma}{\sqrt{n}}=4.753-1.645\cdot\frac{0.054}{\sqrt{12}}=4.727\cong4.73 \\ \\ \text{ Upper limit:: }\mu+Z\cdot\frac{\sigma}{\sqrt{n}}=4.753+1.645\cdot\frac{0.054}{\sqrt{12}}=4.778\cong4.78 \end{gathered}\)Suppose that ΔFAR is similar to ΔSUN. Part A: Identify the corresponding angles.
Answers
Angle F is correspond to angle S. Angle A is congruent to angle U
and Angle R is congruent to angle N.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion
Given that ΔFAR is similar to ΔSUN.
We need to find the corresponding sides.
Corresponding angles are the angles that are in the same position in any different 2-dimensional shapes.
For any two polygons to be congruent, they must have exactly the same shape and size.
This means that all their interior angles and their corresponding sides must be the same measure.
Angle F is correspond to angle S.
Angle A is congruent to angle U.
Angle R is correspond to angle N.
Hence, Angle F is congruent to angle S. Angle A is congruent to angle U
and Angle R is congruent to angle N.
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Ajay is researching how the population of his hometown has changed over time. Specifically, he learns his hometown had a population of 20{,}00020,00020, comma, 000 in 199019901990, and that the population has since increased by about 8\%8%8, percent every 333 years.
Ajay predicts that his town can only support a population of 50{,}00050,00050, comma, 000. Ajay is relieved to see that population has not exceeded 50{,}00050,00050, comma, 000 ttt years after 199019901990.
Write an inequality in terms of ttt that models the situation.
Answers
Answer:
Could you Write the question more clearly?
Step-by-step explanation:
solve for x 3x - 4 = 3x - 10
Answers
Answer:
no solution
Step-by-step explanation:
3x - 4 = 3x - 10
Subtract 3x from each side
3x-3x - 4 = 3x-3x - 10
-4 = -10
This is never true so there is no solution
Answer:
Step-by-step explanation:
I think you might have copied down the problem incorrectly.
If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:
3x-4=3x-10
+10 +10
3x+6=3x
-3x -3x
6=0 (which is FALSE)
Hope this helps!
P.S. Please give me brainliest. Thanks :)
What is the slope of the line parallel to :y=-4/7x+2
Answers
Answer:Two lines are parallel if the have the same slope. To find the slope of the line parallel to the line y=4/7x-2 we need to get the line into slope-intercept form (y = mx + b), but the line is already in that form, so the slope is m = 4/7.
Step-by-step explanation:
Meghan has her own business. When she makes money, it is called income. When she spends money, it is called expenses. Choose the phrases below to explain how to use positive or negative integers to represent income and expenses. You would use positive integers to represent income because it is a Choose... amount. You would use negative integers to represent expenses because they are opposites of income.
Answers
Answer and explanation:
When you use positive interger to represent income, it shows that there has been an addition instead of a subtraction in money value to the business. In other words money is coming in instead of going out. Example when there is profit on goods sold say $10, it is indicated with a positive integer 10 to indicate addition in terms of operating income
When you use a negative value to represent expense, it indicates there has been a subtraction instead of an addition in money value. In other words money is going out of the business and not coming in. Example when there is a transportation expense to convey goods to the buyer, it is recorded as expenses subtracted from say revenue sales of the business. expenses are usually indicated in brackets in accounting to show negative value, although not a requirement since they are already named and recognized as expenses and subtracted regardless
What is the product of 4⁴(4⁻⁷)(4)?
Answers
Answer: 0.0625
Step-by-step explanation: I plugged it into my calculator and this is what I got.
Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply
Answers
Answer:
A C D Because dilate means to become larger/smaller
Step-by-step explanation:
The top and bottom margins of a poster are each 3 cm and the side margins are each 2 cm. The area of printed material on the poster is fixed at 96 cm2. Find the dimensions of the printed area that minimize the area of the whole poster.
Answers
The dimensions of the smallest area of the poster is 8 cm by 12 cm.
Let the dimensions of the poster be x and y.
So, the area is:
Area =xy
The area is given as 96 cm²
So, we have:
A=(x-4)(y-6)
Make x the subject in xu=96
x=96/y
Substitute 96/y for x in
A = (x-4)(y-6)
A = (96/y - 4)(y - 6)
Express as:
A = (96y⁻¹ - 4)(y - 6)
Expand
A = 96 - 576y⁻¹ - 4y + 24
Differentiate
A' = 576y⁻² - 4
set to 0
576y⁻² - 4=0
Add 4 to both sides
576y⁻² = 4
Multiply both sides by y²
576 = 4y²
144 = y²
12 = y
Recall :
x = 96/y
x = 96/12
x = 8
Hence, the dimension of the smallest area of the poster is 8 cm by 12 cm
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a boy is y years old now .how old was he 10 years ago
Answers
Answer:
Hi there the answer is y-10
Will give brainliest to best answer
Simplify please
-7(3e + 4) + 6e - 2
Answers
Answer:
-30 - 15e
Step-by-step explanation:
given -7(3e + 4) + 6e - 2, we can distribute -7 to parenthesis
-21e - 28 + 6e - 2, then we add like numbers
-15e - 30
Answer:
-15e - 30
Step-by-step explanation:
-7(3e + 4) + 6e - 2
Simplify:
-21e + (-28) + 6e - 2 (distribute -7 to 3e + 4)
-21e + 6e - 28 - 2 (combine like terms)
-15e - 30 (combine like terms)
-Chetan K
you roll two dice and total the up faces. what is the probability of getting a total of 8 or two up faces that are the same? round to the the nearest hundredth.
Answers
The probability of getting a total of 8 is 1/9 or 0.111. The probability of getting two up faces that are the same is 1/6 or 0.167. The combined probability is 0.278
This can be calculated by adding the individual probabilities together. To get the probability of getting a total of 8, we need to look at the different combinations that add up to 8. There are nine possible combinations (1+7, 2+6, 3+5, 4+4, 5+3, 6+2, 7+1).
Therefore, the probability of getting a total of 8 is 1/9 or 0.111. To get the probability of getting two up faces that are the same, we look at the different combinations of two dice. There are six possible combinations (1+1, 2+2, 3+3, 4+4, 5+5, 6+6).
Therefore, the probability of getting two up faces that are the same is 1/6 or 0.167. The combined probability of getting a total of 8 or two up faces that are the same is 0.278. This can be calculated by adding the individual probabilities together (0.111 + 0.167 = 0.278).
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Two hikers start a trip from a camp walking 15 miles due east. They turn north and walk 17 miles to a large pond. How far is the pond from base camp to the nearest tenth of a miles.
Answers
Answer:
22.7 miles
Step-by-step explanation:
The hikers start walking 15 miles due east and then they turn north and walk 17 miles to a large pond.
The shape of their journey can be represented as a right angled triangle, shown below.
To find the distance between the pond and the base camp, we need to find the hypotenuse of the triangle.
We can do this by using Pythagoras theorem:
\(hyp^2 = a^2 + b^2\)
where a and b are the other two sides of the triangle. Therefore:
\(hyp^2 = 15^2 + 17^2\\\\hyp^2 = 514\\\\hyp = \sqrt{5`4} \\\\hyp = 22.7 miles\)
The pond is 22.7 miles far from the base camp.
the slope of the line below is -3. use the coordinates of the labeled point to find a point-slope equation of the line.
Answers
Answer:
B
Step-by-step explanation:
point (5,-7) slope ( -3) form of the line would be
(Y- -7) = - 3(x-5)
y+7 = -3 (x-5)
Write an equation for the following real life scenario.
Use "h" to represent your variable.
Diane worked to earn $48.50 babysitting her neighbors, she earns $6.00 per hour.
Answers
I don't understand the question
The volume of a cone is 37x³ cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
3x
6x
О Злх2
97X2
Answers
The radius of the cone's base in the unit is 9*7x².
Which expression represents the radius of the cone's base, in units?Given:
The volume of a cone is 3*7x³ cubic units Its height is x units.To find:
The expression represents the radius of the cone's base, in units.Solution:
As we know, the volume of the cone formula is
V = πr²h/3
So, lets us compare the above formula with the given expression;
πr²h/3 = 3*7x³
Here, h is represented as x, we get;
πr²x/3 = 3*7x³
πr²/3 = 3*7x²
r²= 9*7x²
Hence, the radius of the cone's base, in units, is 9*7x².
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1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answers
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
Which of the following is true about a "cumulative ACK witha sequence number M in the Go-Back-N protocol) A When received by the sender, it retransmits all da packets in the window up to sequence number M When received by the sender, it slides its window by b When sent by the receiver, all packets up to sequer number M were correctly received and delivered D. Both (B) and (C) B. C. 11. The function that is not a cause of extra overhead of routers used to forward IPv4 datagrams is: A. The datagram header checksum B. The datagram fragmentation C. The datagram options D. The datagram reassembly 12. In the Selective-Repeat protocol, if the timer expires, A. All packets in the window are retransmitted and t is restarted B The packet, for which the timer has exp retransmitted immediately and its timeout in Part 1: (20 points, I point each) Choose the best answer for each of the following multiple-choice questions 1. Which of the following Internet transport-layer services provide error checking" A. TCP B. UDP C Neither TCP nor UDP D. Both TCP and UDP 2. The type of delay that is not caused by the store-and-forward strategy used by the switching devices is: A. The processing delay B. The queuing delay C. The transmission delay D. The propagation delay 3. In a statistical multiplexed system, if the average queuing delay is very close to zero, then: A. The system is very well-engineered B. The traffic intensity is greater than 50% C. The system resources are inefficiently utilized D. None of the above
Answers
TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.
TCP provides error checking to ensure reliable data delivery, making option A the correct answer.
The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.
The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.
Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
3. The correct answer is A. The system is very well-engineered.
In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.
Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.
When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.
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Claire bought 6 packs of baseball cards. Each pack had the same number of cards. If Claire bought 48 baseball cards in all, how many cards were in each pack.
Answers
Answer:
8 baseball cards were in each pack
Step-by-step explanation:
Since she has a total of 48 cards and each of the 6 packs had the same amount you would just do 48 divided by 6 which is 8. So there were 8 baseball cards in each pack
Solve for x. Options are 6,3,5,4.
Answers
The value of x as required to be determined in the given task content is; 3.
What is the value of x in the given diagram?It follows from the task content that the value of x is required to be determined in the given task content.
By observation; the triangles formed by the parallel lines and the common vertex they share are similar triangles.
On this note, the ratio of their corresponding sides are equal and hence; we have that;
15 / (15 + x) = 10 / (10 + 2)
(15 × 12) = 10 (15 + x)
180 - 150 = 10x
30 = 10x
x = 3.
Consequently, it follows that the value of x as required is; 3.
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