The weight of a medium-sized orange selected at random from a large bin of oranges at a local supermarket is a random variable with mean μ = 12 ounces and standard deviation σ = 1.2 ounces. Suppose we independently select two oranges at random from the bin. The difference in the weights of the two oranges (the weight of the first orange minus the weight of the second orange) is a random variable with a standard deviation equal to
Answers
The standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.
What do you mean by standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The standard deviation of the difference in the weights of the two oranges is equal to the square root of the sum of the squares of the standard deviations of the two oranges. This is because the weights of the two oranges are independent random variables.
Therefore, the standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.
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Related Questions
Please answer all questions (If correct will give brainliest)
1. Prove or Disprove the figure defined by points A,B,C, and D is a rhombus.
2. Prove or Disprove that point (4.00,4.50) lies on circle O centered at the origin.
3. Prove the diagonals of the rhombus ABCD bisect each other.
Answers
The coordinates (4.0 , 4.5) to the center is not the distance of radius
How to show that diagonals of the rhombus ABCD bisect each other?From the circle formula centered at origin: x² + y² = r²
Where r is the radius of the circle. and by substitution for the various values of x, y and r we have
x² + y² = 6² = 36
Also, substituting the values of the lengths of the line we have
(4)² + (4.5)² = 16 + 20.25 = 36.25 ≠ 36
This proves the diagonals of the rhombus ABCD bisect each other
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use deductive reasoning to show that the following procedure always produces the number 8. procedure: pick a number. add 5 to the number and multiply the sum by 3. subtract 7 and then decrease this difference by the triple of the original number.
Answers
After using the deductive reasoning the procedure always produces the number 8.
Procedure:
Let the number be x.
We have to add 5 to the number x.
So the expression is x + 5.
We have to multiply the sum by 3.
Now the expression is 3(x + 5).
Now we have to subtract 7.
Now the expression is 3(x + 5) - 7.
Then we have to decrease this difference by the triple of the original number.
The triple of original number is 3x.
Now the expression is {3(x + 5) - 7} - 3x.
Now solving this expression
= {3(x + 5) - 7} - 3x.
First simplify the bracket
= 3x + 15 - 7 - 3x.
= 8
Now we can se that the after following the whole procedure the answer is 8.
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Solve the triangle.
A= 108° C=27° c = 160
Answers
if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that angle A is 108 degrees
Angle B is 27 degrees
We need to find angle C
By angle sum property we know that the sum of three angles is 180 degrees
108+27+x=180
135+x=180
Subtract 135 from both sides
x=180-135
x=45 degrees
Hence, if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.
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In a triangle ABC, Find the angle C when angle A= 108° ,B=27° .
Find the area of an equilateral triangle with a height that measures 9 feet
Answers
Given
The height of an equilateral triangle is, 9 feet.
To find the area of an equilateral triangle
The area of an equilateral triangle is,
\(A=\frac{1}{2}\cdot b\cdot h\)Since h=9 feet.
Then the value of b is measured using pythagoras theorem.
\(\begin{gathered} a^2=h^2+(\frac{a}{2})^2 \\ a^2=h^2+\frac{a^2}{4} \\ a^2-\frac{a^2}{4}=h^2 \\ \frac{3}{4}a^2=h^2 \end{gathered}\)Then for h=9,
\(\begin{gathered} 9^2=\frac{3}{4}a^2 \\ 81\cdot\frac{4}{3}=a^2 \\ a^2=27\cdot4 \\ a=\sqrt[]{9\cdot3\cdot4} \\ a=6\sqrt[]{3} \end{gathered}\)Then the area will be,
\(\begin{gathered} A=\frac{1}{2}\cdot b\cdot h \\ A=\frac{1}{2}\cdot a\cdot h \\ A=\frac{1}{2}\cdot6\sqrt[]{3}\cdot9 \\ A=27\sqrt[]{3}=46.77sq.feet \end{gathered}\)
What is the equation of the parabola with focus (4, 1) and directrix y = 2?
Answers
After answering the given query, we can state that the parabola equation expands upwards, and the apex is (4, 4.5).
What is equation?Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.
P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.
As a result, the parabola's equation is:
\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)
The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)
The problem can also be expressed in vertex form by filling in the cube as follows:
\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)
Therefore, the parabola expands upwards, and the apex is (4, 4.5).
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Find the surface area of the pyramid. The side lengths of the base are equal.
Answers
The surface area of the pyramid is 116.4 sq. ft.
What is surface area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.
The surface area of the pyramid is calculated by adding the area of all the faces of the pyramid.
The area of the triangle is given as:
A = 1/2 (b)(h)
For the face of the pyramid:
b = 12 and h = 9
Substituting the values we have:
A = 1/2 (12)(9)
A = 54 sq. ft
The pyramid consists of three faces thus,
A = 3(54) = 162 sq ft
For the base of the pyramid:
b = 12 and h = 10.4 ft
A = 1/2(12)(10.4)
A = (6)(10.4)
A = 62.4 sq ft
The surface area of the pyramid is:
SA = 54 + 62.4
SA = 116.4 sq. ft
Hence, the surface area of the pyramid is 116.4 sq. ft.
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A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
a. The proportion of all customers who order dessert.
b. All customers who come to the restaurant.
c. The 65 restaurant patrons whose receipts were observed by the owner.
d. The proportion of the 65 randomly selected customers who ordered dessert.
e. The 65 restaurant patrons whose receipts were observed by the owner
f. All customers who come to the restaurant
1. Statistic
2. Variable
3. Sample
4. Data
5. Population
6. Parameter
Answers
Options E and F are repeated but the correct thing should be;
e. The list of the 65 Yes or No answers for whether each customer ordered dessert.
f. The answer: Yes or No to whether a customer ordered dessert
Answer:
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Step-by-step explanation:
a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.
b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.
c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.
d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.
e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.
f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.
Figure ABCD is transformed to obtain figure A'B'C'D':
(pic is below)
Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
No links please :)
if u dont know the answer dont answer please:)
Please dont just answer for points :(
Answers
Answer:
A. Reflection over the y axis and a translation 4 units down
B. Yes because glide reflections preserve side and angle measures.
The amount of a same le remaining after T days is giving by the equation p(f)=a(1/2) T/h
Answers
Answer:
6
Step-by-step explanation:
Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day at the same boat speed took her 5 min. If the current in that part of the river is 10 km per hr, what was her boat speed in still water?
Answers
Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water
You have to conduct a survey in your school to find out which mode of transportation students prefer the most. Arrange the steps for comple
this project in order from start to finish.
Answers
Answer:
Here are the steps for conducting a survey in your school to find out which mode of transportation students prefer the most, arranged in order from start to finish:
1) Define the objective: Clearly define the objective of the survey, which is to determine the preferred mode of transportation among students in your school.
2) Determine the sample size: Decide on the number of students you want to include in your survey. This will depend on factors such as the size of your school and the resources available for conducting the survey.
3) Design the survey questionnaire: Create a well-designed survey questionnaire that includes relevant questions about different modes of transportation. Ensure that the questions are clear, unbiased, and cover all the necessary aspects.
4) Seek necessary permissions: If required, seek permission from school authorities or relevant individuals to conduct the survey on school premises and to involve students.
5) Pre-test the survey: Before distributing the survey to the entire student population, pre-test the questionnaire on a small group of students to identify any potential issues or areas for improvement.
6) Distribute the survey: Once the questionnaire has been finalized and pre-tested, distribute it to the selected sample of students. Ensure that the survey is distributed in a fair and unbiased manner, taking into account the diversity of the student population.
7) Collect the survey responses: Set a specific timeframe for students to complete the survey and collect the responses. Consider using a combination of online platforms and physical collection methods to maximize participation.
8) Analyze the data: Once you have collected all the survey responses, analyze the data to determine the preferred mode of transportation among students. Use appropriate statistical tools and techniques to interpret the results accurately.
9) Present the findings: Prepare a report or presentation summarizing the survey findings. Include key insights, trends, and any significant findings related to the preferred mode of transportation among students.
10) Share the results: Share the survey results with the school community, including students, teachers, and administrators. This can be done through presentations, newsletters, or other suitable communication channels.
By following these steps, you will be able to conduct a comprehensive survey to determine the preferred mode of transportation among students in your school.
Hope this helps!
I can not do it for you but I can give you what you should do
Explanation: take a survey
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
Answers
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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what is the sum of 5/6+2/3
Answers
Step-by-step explanation:
\( \frac{5}{6} + \frac{2}{3} \)
\( \frac{5}{6} + \frac{2 \times 2}{3 \times 2} \)
\( \frac{5}{6} + \frac{4}{6} \)
\( = \frac{5 + 4}{6} \)
\( = \frac{9}{6} \)
\( = \frac{3}{2} \)
\( = 1 \frac{1}{2} \)
Answer:
1 1/6 (read one and one-sixth) or 11/6
Step-by-step explanation:
2/3=4/6
5/6+4/6=11/6 or 1 1/6
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answers
30 books is 2% of its total books
Answers
Answer:
1500 books
Step-by-step explanation:
30 / 2 = 15
15 x 100 = 1500
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
Answers
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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Simplify (2x-3y)^8 please
Answers
Answer: well solve what's in the parentheses first
Step-by-step explanation: that is the first step
if you work make 15 an hour for 8 hour shift how much is that
Answers
Answer:
120
Step-by-step explanation:
15*8=120
Determine which statements about the relationship are true. Choose two options. g is the dependent variable. u is the dependent variable. g is the independent variable. u is the independent variable. The two variables cannot be labeled as independent or dependent without a table of values.
Answers
Answer:
1) g is the dependent variable.(A)
2) u is the independent variable.(D)
Step-by-step explanation:
An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
Answers
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
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The value is a statistic because it is a numerical measurement describing some characteristic of a sample.A health and fitness club surveys 40 randomly selected members and found that the average weight of those questioned is 157 pounds. Determine whether the given value is a statistic or a parameter.
Answers
The given value of 157 pounds is a statistic.
This is because it is a numerical measurement describing a characteristic of a sample. A statistic is a value calculated from a sample, whereas a parameter is a value calculated from a population. In this case, the sample is the 40 randomly selected members of the health and fitness club, and the statistic is the average weight of those members. This statistic is used to make inferences about the larger population of all members of the health and fitness club, but it is not the same as the parameter, which would be the true average weight of all members of the club.
Therefore, The given value of 157 pounds is a statistic.
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Paper clips sell for 23 cents per box. What will 4 boxes cost?
Answers
Answer:
92 cents
Step-by-step explanation:
If each box has the cost of 23 cents, and you decided to buy 4, you would multiply the amount of boxes you want with the cost of each one, therefore, the 92 cents. 4 * 23 = 92
(22-26)²+(34-26)²+(30-26)²+(14-26)²+(30-26)\(\frac{x}{y}\)5
Answers
Answer:
\(20x+240y/y\)
Step-by-step explanation:
1. Subtract the numbers
2. Evaluate the exponents
3. Subtract the numbers, again
4. Have a great day and thx for your inquiry :)
Josh bowls a strike on 40% of the frames he bowls. Let F be the number of frames Josh bowls until he bowls a strike . Assume the results of each frame are independent . Find the probability that it takes Josh less than 3 frames to bowl his first strike .
Answers
If Josh bowls a strike on 40% of the frames he bowls. , the probability that it takes Josh less than 3 frames to bowl his first strike is 0.88.
How to find the probability ?The probability that Josh bowls a strike on any given frame is 0.52. We are interested in finding the probability that it takes him more than 3 frames to bowl his first strike, which means he does not bowl a strike in the first 3 frames.
The probability of not bowling a strike in one frame is 1 - 0.52 = 0.48. Therefore, the probability of not bowling a strike in the first three frames is:
P(not bowling a strike in first 3 frames) = 0.48^3 = 0.1106
Now, we want to find the probability that it takes Josh more than 3 frames to bowl his first strike, which means he does not bowl a strike in the first 3 frames. We can use the complement rule and subtract the probability of bowling a strike in the first 3 frames from 1:
P(bowling a strike in 1st, 2nd, or 3rd frame) = 1 - P(not bowling a strike in first 3 frames)
= 1 - 0.1106
= 0.8894
So the probability that it takes Josh more than 3 frames to bowl his first strike is 0.8894.
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I'm stuck and I need help right now
Answers
Answer:
See below.
Step-by-step explanation:
Make a table with values at certain values of x from -2 to 2.
Write in the table f(x) and g(x), and then h(x).
Then, plot the points for h(x).
See the picture below.
Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only drive at 40 mph. Find the distance from his home to his work. A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question. B. [4 pts) Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units. (You will not receive full credit if a trial and error method is used in place of an algebraic method.)
Answers
Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The distance from Michael home to work is 100 miles
SpeedSpeed is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Let d represent the distance from Michael home to work. Hence:
50 = d/tt = d / 50He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:
40 = d/(t + 0.5)t = (d - 20)/40d/50 = (d - 20) / 40
40d = 50d - 1000
10d = 1000
d = 100 miles
The distance from Michael home to work is 100 miles
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In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV
Answers
D. I and IV are the quadrants the cosine function is positive
To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.
The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.
Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.
Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.
Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.
It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.
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This graph shows the solution to which inequality?
Answers
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I used a graph
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Please help I will give brainliest and 45 points
Answers
Answer:
129.13
Step-by-step explanation:
Triangle:
8 × 13 = 104
Semi-circle:
3.14(4²) ÷ 2 = 25.1327
25.13 + 104 = 129.13
good luck, i hope this helps :)
Answer:
The area should be 104.
Step-by-step explanation:
Just multiply top by bottom.
Can someone help asap!!?
Answers
Answer:
1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4
Step-by-step explanation:
1.
A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.
2.
A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.
3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.
4 and 5:
To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.
4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9
5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.