In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
Does the table show a probability distribution? Select all that apply.
Answers
The mean of the distribution is 0.4241, and the standard deviation is 0.4507 .So,the correct answer to the question is A. Yes, the table shows a probability distribution.
What is probability distribution?A probability distribution is a function that describes the likelihood of obtaining the possible values that a random variable can take. It provides a way to quantify the uncertainty associated with the outcomes of an experiment or random process. A probability distribution can be discrete, meaning that it is based on a countable set of values, or continuous, meaning that it is based on an uncountable set of values.
The given table shows the probabilities associated with a categorical variable x, where x represents the ear that people use to hear their cell phone.
To check whether it is a probability distribution, we need to check if the following conditions are satisfied:
The sum of probabilities is equal to 1:
0.6359 + 0.3037 + 0.0604 = 1
So, this condition is satisfied.
The probability of each outcome is between 0 and 1 inclusive:
0 <= P(x) <= 1 for all values of x
From the given table, we see that all probabilities are between 0 and 1 inclusive.
Each possible outcome has a probability:
Every possible value of x is listed in the table and has a probability associated with it.
Therefore, all the conditions are satisfied, and the table shows a probability distribution.
To find the mean and standard deviation of the distribution, we can use the following formulas:
Mean (μ) = Σ(x * P(x))
Standard deviation (σ) = √[Σ((x - μ)² * P(x))]
Using the given probabilities and their corresponding values of x, we get:
Mean (μ) = (0 * 0.6359) + (1 * 0.3037) + (2 * 0.0604) = 0.4241
To calculate the standard deviation, we first need to calculate the squared deviations from the mean:
(x - μ)²: 0.1795 0.1187 0.8725
P(x): 0.6359 0.3037 0.0604
(x - μ)² * P(x): 0.1142 0.0361 0.0527
Using the formula for standard deviation, we get:
Standard deviation (σ) = √[Σ((x - μ)² * P(x))] = √[0.2030] = 0.4507
Therefore, the mean of the distribution is 0.4241, and the standard deviation is 0.4507.
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Related Questions
What is the Recursive relation of 1,1,5,17,71,247…
Answers
The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).
How to find the recursive relation ?A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.
Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:
1 x 1 - 0 = 1
1 x 2 - 1 = 1
1 x 3 - 2 = 5
5 x 4 - 3 = 17
17 x 5 - 4 = 71
71 x 6 - 5 = 247
We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).
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The dotplots below display the scores for two classes on a 30-point statistics quiz. Class A has 26 students and Class B has 25 students.
2 dot plots. For Class A, the dots are spread out more. For Class B, the dots are more grouped together.
Which statement best compares the variability of the quiz scores for Class A and Class B?
The scores on the quiz for Class A have more variability than the scores for Class B.
The scores on the quiz for Class B have more variability than the scores for Class A.
The scores on the quiz for Class A have less variability than the scores for Class B.
The scores on the quiz for Class B have about the same variability as the scores for Class A.
I think its (A), The scores on the quiz for Class A have more variability than the scores for Class B. Can someone check me?
Answers
The statement that best compares the variability of the quiz scores for Class A and Class B is A; The scores on the quiz for Class A have more variability than the scores for Class B.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
LEt suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.
The dot plot is skewed to the right due to majority of the data occur to the right of the dot plot.
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one.
For Class A the dots are spread out more.
For Class B, the dots are more grouped together.
Here, Looking at the dot plot, it can be seen that the numbers that range from 16 to 21 have only one dot.
The statement that best compares the variability of the quiz scores for Class A and Class B is A; The scores on the quiz for Class A have more variability than the scores for Class B.
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Clara’s commission is 4% of sales. Her minimum wage is 8/hr. She works 27hrs and sells $5000 worth of merchandise.
a) What is Clara’s pay based on minimum wage?
b) What is Clara’s pay based on commission?
c) How much will Clara earn this week?
Answers
Answer:
Step-by-step explanation:
a) Clara's pay based on minimum wage is found by multiplying her minimum wage rate by the number of hours she worked:
Pay based on minimum wage = 8 dollars/hour * 27 hours = 216 dollars
b) Clara's pay based on commission is found by multiplying her commission rate by her sales:
Pay based on commission = 4% * 5000 dollars = 0.04 * 5000 dollars = 200 dollars
c) To find Clara's total earnings for the week, we add her pay based on minimum wage to her pay based on commission:
Total earnings = Pay based on minimum wage + Pay based on commission
= 216 dollars + 200 dollars
= 416 dollars
Therefore, Clara will earn 416 dollars this week.
Commitment to goals can be promoted in which of the following ways?
Answers
Commitment to goals can be promoted in through:
by imagining how you will feel when you achieve themby identifying who or what might keep you from achieving themWhat is goal commitment?Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and
Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.
Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.
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how many pattern blocks rhombuses would 4 triangles create
Answers
Four triangles can create a set of pattern blocks that includes a total of four rhombuses.
To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.
To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.
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Paula wants to retire. She has an account that has $250,000. It is earning an APR of 5.63%. What is the monthly yield on the account for a 20-year period?
(Please round your answer to the nearest dollar.)
Answers
Paula's account will earn a total of $282,546.60 in interest over the next 20 years, in addition to her initial investment of $250,000.
The monthly yield on Paula's account can be calculated using the following formula:
Monthly Yield = (Account Balance x Annual Percentage Rate) ÷ (12 x 100)
Monthly Yield = (250,000 x 5.63) ÷ (12 x 100) = $1,177.29
So, Paula's account will earn a monthly yield of $1,177.29 for the next 20 years. To calculate the total amount earned over the 20-year period, we can multiply the monthly yield by the number of months in 20 years (i.e., 240):
Total Earnings = Monthly Yield x Number of Months
Total Earnings = $1,177.29 x 240
Total Earnings = $282,546.60
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help me please and explain if possible?
Angie and Kenny play online video games. Angie buys 1 software packages and 2 months of gameplay. Kenny buys 2 software packages and 5 months of gameplay. Each software package costs $35. If their total cost is $203, what is the cost of one month of gameplay?
Answers
so we know that price of software package is $20
Now we need to find x the price of one month
we know that Angie and Kenny spent 115 total
Angie: 20 + 3x ( one software pack + 3(price of one month)
Kenny: 20+ 2x ( one software pack + 2( price of one month)
So Angie + Kenny = $ 115
20 + 3y + 20 + 2y = 115
combine like terms and solve for x. That will give you the cost of one month
40 + 5x = 115
-40 -40
5x= 75
5x/5 = 75/5
x=15
if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
Answers
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
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unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answers
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
help due today hurry up
Answers
Answer:
What is the question?
Step-by-step explanation:
I'll see if I ca help
Answer:
yeha i would be happy to help but wheres the qoution i will wdit my answer and give you answer of your quotion
the bottom angle is also 45 could some one answer this for me
Answers
The length of the side opposite to the reference angle is 7.77 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.
We know, sin = opposite/hypotenuse.
Therefore,
sin45° = x/11.
1/√2 = x/11.
x = 11/√2.
x = 7.77 units.
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I save 100 a month to go to Tokyo and rent a hotel
Which costs 1,391 for a flight and 34 for a hotel
What is the constant rate of proportionality?
Answers
Answer:
the c.o.p is 14.25
Step-by-step explanation:
By What Fraction Must ⅝ be divided to get 7/9
Answers
Answer:
I don't understand this Qu?estion
Step-by-step explanation:
Answer: 45/56
Step-by-step explanation: I did 5/8 divided by 7/9. Dividing is the same as multiplying by recriprical, so 5/8 * 9/7 = 45/56. 5*9=45, 8*7=56
Answer this with explanation please
Answers
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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Ben is going bowling this weekend. It will cost $5 for the shoe rental plus $6 per game bowled. Which equation models the cost,
for Ben to bowl 9 games?
Answers
Answer:
Step-by-step explanation:
c=6g+5 (this is the answer to problem on screen)
The question asks for how much it costs for g games not 9 games. Though solving for 9 games is simple
c(9)=6(9)+5
c(9)=54+5
c(9)=$59
Answer:
c=6g+5
Is the correct answer BECAUSE IT IS THE ONE I CHOSE AND I GOT A 100 as you can see.
72 ft
30 ft
What is the length of the hypotenuse?
Answers
Answer:
78ft
Step-by-step explanation:
a^2 + b^2 = c^2
72^2 + 30^2 = 6084
square root 6084 to get 78
(6-^8)^4 please helpppp
Answers
\((6^-^8)^4\)
\(=6^-^2^4\)
\(=\frac{1}{6^2^4}\)
which choice is equivalent to the fraction below? hint: rationalize the denominator and simplify. 6 over the square root of 2.
Answers
Answer
(6/√2) = 3√2
Explanation
We are asked to simplify
6/√2
So, we will rationalize this by multiplying numerator and denominator by √2
\(\frac{6}{\sqrt[]{2}}\times\frac{\sqrt[]{2}}{\sqrt[]{2}}=\frac{6\sqrt[]{2}}{\sqrt[]{2}\times\sqrt[]{2}}=\frac{6\sqrt[]{2}}{2}=3\sqrt[]{2}\)Hope this Helps!!!
{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
Answers
What is sixty-seven point four three divided by ten
Answers
Answer:
67,43/10 = 6.743
When dividing any number by 10, you just move the decimal to the left. When multiplying, you move it to the right.
Step-by-step explanation:
Hope it helps! =D
Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
Answers
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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1. What Can You Say About The Sign Of Two Numbers If Their Product Is Positive?
2. What Can You Say About The Sign Of Two Numbers Is Their Quotient Negative?
3. If You Have The Product Of Four Number One is Positive And Three Are Negative, What Will The Sign Of The Product Be?
Answers
all them correct right
one less than twice some number
Answers
Answer:
Step-by-step explanation:
2x - 1
Now, let's assume x to be 5.
Then, 2x -1 evaluates to be 2(5) - 1 = 9
Now, this is one way in which I solved this math.
You can assume x as some other value and get some other answer.
Elizabeth gave 13% of the cost as a tip to the delivery person who delivered her car after service at a cost of $294. What will be the total cost with tip to the nearest cent?
Answers
Answer:
If an amount is included as a "Gratuity" or "Service Charge," tipping is not required. ... If the tip is included, the breakdown of the bill will read "gratuity" or "service charge," which means that a tip is already included.
Step-by-step explanation:
hope this helps!
Captain Umaima has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Nadia and her merciless band of thieves.
The Captain has probability \dfrac{3}{7}
7
3
start fraction, 3, divided by, 7, end fraction of hitting the pira
te ship. The pirate only has one good eye, so she hits the Captain's ship with probability \dfrac{2}{5}
5
2
start fraction, 2, divided by, 5, end fraction.
Answers
The probability of the Captain hitting the pirate ship and the pirate hitting the Captain's ship is 6/35.
Based on the given information, Captain Umaima has a probability of 3/7 of hitting the pirate ship, while the pirate Nadia has a probability of 2/5 of hitting the Captain's ship.
To determine the probability of specific outcomes, we can use the multiplication rule for independent events.
We assume that the events of the Captain hitting the pirate ship and the pirate hitting the Captain's ship are independent.
The probability of both events occurring (Captain hitting the pirate ship and pirate hitting the Captain's ship) is calculated by multiplying their individual probabilities:
P(Captain hits pirate)×P(Pirate hits Captain)= 3/7 × 2/5
To simplify the calculation, we can multiply the numerators together and the denominators together:
P(Captain hits pirate)×P(Pirate hits Captain)= 3×2/7×5
= 6/35
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Which of the following is a prime number between 20 and 30?
A. 27
B. 25
C. 21
D. 23
Answers
Answer:
23
Explanation:
A prime number can only be multiplied by itself and 1 and that is true for 23
Solve the system of equations:
x-y=4
4x-7z=24
4y+z=8
Answers
Answer:
Solve for x, y, and z. 1st Equation: 2x + 2y + 4z = 48. 2nd Equation: 2x + 9y + 7z = 105. 3rd Equation: x + 4y + z = 37. Subtract the 2nd Equation from the 1st Equation. This will eliminate the variable “x”.
Step-by-step explanation:
What is the area of triangle ABC?
Answers
Answer:
c) 36√3 square units
Step-by-step explanation:
Using trigonometry, you can find the height CD to be ...
CD = CB·sin(60°) = 12(√3/2) = 6√3
We know all three angles must be 60°, so all three sides must be the same length. That is, base AB = 12.
Then the area formula can be used.
A = 1/2bh . . . . . triangle with base b and height h
A = 1/2(AB)(CD)
A = 1/2(12)(6√3) = 36√3 . . . square units
HELP PLEASE FAST
Find the second differences for the relation.
Answers
The second differences for the relation is -2 which is option A.
What is the second differences for the relation?To find the second differences, we need to calculate the difference between consecutive differences of the 'y' values in the given relation.
First, let's calculate the first differences:
-9 - (-4) = -5
-4 - (-1) = -3
-1 - 0 = -1
0 - (-1) = 1
-1 - (-4) = 3
-4 - (-9) = 5
Now, let's calculate the second differences:
-5 - (-3) = -2
-3 - (-1) = -2
-1 - 1 = -2
1 - 3 = -2
3 - 5 = -2
The second differences for the given relation are all -2.
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3. Give the digits in ones place and tenths place in the number 6.704
A. 7,6
B. 4,6
C. 6,4
D. 6,7
Answers
Answer:
D
Step-by-step explanation: