Why is it crucial to ensure that each sample has at least 10 successes and failures when building a confidence interval for the difference between two population proportions. This will allow us to select a sample distribution for p1-p2 that is roughly normal.
A distributor is a business that takes part in the value chain's distribution step. Making a good or service available to the consumer or business user who wants it is the process of distribution. This might be done by the producer or service provider directly or through indirect channels like distributors or intermediaries. Distribution is one of the four elements of the marketing mix, along with the other three being the product, pricing, and promotion. The broad strategic goal and objective of a corporation should guide distribution decisions. The main task of strategic planning is to develop a thorough distribution plan. At the strategic level, there are three basic distribution tactics: mass, selective, and exclusive distribution.
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How do I do this problem.
Answer:
1. 11π/6
2. 43π/18
3. -π/4
4. - 43π/18
5. 23π/6
6. 25π/18
Step-by-step explanation:
A full circle has a measure of 360° in degrees and 2π radians in radians.
Since a full circle has a measure of 2π radians, then half a circle has a measure of π radians, and a quarter circle has a measure of π/2 radians.
1. 2π - π/6 = 11π/6
2. 61π/36 - π/2 = 61π/36 - 18π/36 = 43π/18
3. 5π/4 - π = π/4; -π/4
4. -36π/18 - 7π/18 = -43π/18
5. 2π + π + 5π/6 = 23π/6
6. 36π/18 - 11π/18 = 25π/18
At the super market every can of tomatoes weighs at least 15ounces
The inequality representing the situation is w >= 15, where w represents the weight of a can of tomatoes and the inequality states that it must be greater than or equal to 15 ounces.
The inequality that represents the situation is w >= 15, where w represents the weight of a can of tomatoes. This inequality states that the weight of a can of tomatoes is greater than or equal to 15 ounces, meaning that every can of tomatoes weighs at least 15 ounces.
This inequality represents a constraint or a condition on the weight of a can of tomatoes. In mathematical terms, the inequality w >= 15 says that the value of w, which represents the weight of a can of tomatoes, must be greater than or equal to 15 ounces. Any value that satisfies this inequality is considered a valid solution for the weight of a can of tomatoes. For example, 15 ounces, 16 ounces, 17 ounces, and so on are all valid weights for a can of tomatoes that meet the requirement of weighing at least 15 ounces.
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The complete question is:
At a supermarket, Each tomato can in a store weighs at least 15 ounces.
Let w stand in for the can of tomatoes' weight.
Which inequality best captures the circumstances?
[tex]w < 15 w < 15 W > 15 w > 15[/tex]
a random sample of 75 units is drawn from a production process every half hour. the fraction of nonconforming product manufactured is 0.01. what is the probability that if the fraction nonconforming really is 0.01?
The probability of obtaining a random sample of 75 units from a production process where the true fraction of nonconforming product is 0.01 is extremely high. This is because 0.01 is an extremely low fraction, meaning that out of the 75 units in the sample, only 0.75 would be expected to be nonconforming.
The probability that the fraction of nonconforming product is exactly 0.01 (with 0.75 nonconforming units out of 75) can be calculated using the binomial distribution. This distribution assumes that each unit has an independent probability of being nonconforming, and that this probability is the same for each unit. The probability that the sample will have exactly 0.75 nonconforming units out of 75 is 0.907.
Thus, the probability that the true fraction of nonconforming product is exactly 0.01 is very high, and it is likely that a random sample of 75 units drawn from the production process will have a fraction nonconforming that is close to 0.01.
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Work & Power: Incredibles
Must Show Work!!
Mr. Incredible can push with a force of 5000 N on a train and move it 100 meters in 100
seconds. Dash can push this tiny railcar with a force of 50 N moving it 100 meters in 1
second. Who would you say did more work? Also, who is more powerful? Explain your
answers.
Based on the information, it can be inferred that Mr. Incredible did more work than Dash moving the train car.
How to calculate the work done by Mr. Incredible and Dash?To calculate the work that Mr. Incredible and Dash did moving the train car, we must apply the following mathematical formula:
Work (Joules) = Force (N) * Distance (d)According to the above, we only have to replace the values according to each case.
J = 5,000 * 100J = 500,000J = 50 * 100J = 500According to the above, it can be inferred that Mr. Incredible made more effort than Dash because they did 500,000 J and 500 J of work respectively.
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Shape ABCD is a rectangle.
C is the point with coordinates (0,-8)
The equation of the straight line through A and B is 2y + x = 4.
Find the equations of the lines
DC, AD and BC.
Answer:
c
Step-by-step explanation:
trust me
Other than itself, which angle is congruent to
WE CAN USE THE GRAPH THAG CA HELP US IN THE PROBLEM
Write a polynomial for the area of the shaded region.
The polynomial for the shaded area will be 3x² + 15x and x² + 6x + 8.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L × W square units
19. The area is given as,
A = (x + 5)(3x)
A = 3x² + 15x
19. The area is given as,
A = (x + 4)(x + 2)
A = x² + 6x + 8
The polynomial for the shaded area will be 3x² + 15x and x² + 6x + 8.
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2 2 2 2 = 9 use subtraction addition multiplication addition or parentheses to make the equation true
The numbers 2 2 2 2 can be arranged to make the equation true as follows
(2 + 2/2)² How to arrange the numbers to make the equation trueThe numbers arranged by applying the rule which had acronym of PEMDAS
the full meaning include
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
applying the sequence the problem is solved as follows
= (2 + 2/2)²
solving the parenthesis first we solve the problem inside the parenthesis. Inside the parenthesis we start with division
= (2 + 2/2)²
= (2 + 1)²
Then addition
= (3)²
having completed the parenthesis, we solve for the exponents
= 9
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Each of four friends-Jennifer, Rebecca, Derek, and
Matthew-had the goal of raising $50. How much
money did each person raise? Show or explain your
answer
a. Jennifer raised 50% of her goal.
b. Rebecca raised 100% of her goal.
c. Derek raised 75% of his goal.
d. Matthew raised 150% of his goal.
Answer:
Jennifer raised $25
Rebecca raised £50
Derek raised $37.50
Matthew raised $75
Step-by-step explanation:
J: 50% = dividing by 2, 50/2= 25
R: 50 is 100%, because that was the total
D: 75% = dividing by 4, timsing by three, so 50/4 is 12.5 x 3 is 37.5, put it into currency $37.50
M: We add another 25% onto 50 so 25+50=75.
(hope this works!!)
Find X then find angle PSQ
The value of angle PSQ is 136. 9 degrees
How to determine the valueIt is important to note the following;
Supplementary angles sum up to 180 degreesAngles on a straight are equivalent to 180 degreesThen, we have that;
30x + 6 + 11x - 5 = 180 degrees
Now, let's collect the like terms
30x + 11x + 6 - 5 = 180
add or subtract the like terms
41x = 180 - 1
41x = 179
Divide the values, we get;
x = 4. 36
Then,
PSQ = 30x + 6
PSQ = 136. 9 degrees
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A mother is 24 years older than her daughter. a. If the daughter is w years old, how old is the mother? b. If the ratio of their ages is 5:2, find the age of the daughter.
A toy rocket is launched from a 5.6 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation h= - 4.97t^2+ 38.5t + 5.6. How long will it take for the rocket to hit the ground?
The toy rocket will hit the ground after approximately 3.86 seconds.
Calculating time for toy rocket to reach groundThe rocket will hit the ground when its height is equal to zero, so we can use the equation h = -4.97t^2 + 38.5t + 5.6 to find the value of t that satisfies this condition. To do this, we set h equal to zero and solve for t:
0 = -4.97t^2 + 38.5t + 5.6
-5.6 = -4.97t^2 + 38.5t
4.97t^2 - 38.5t - 5.6 = 0
This is a quadratic equation and can be solved using the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Where a = 4.97, b = -38.5, and c = -5.6.
Plugging in these values, we get:
t = (-(-38.5) ± √((-38.5)^2 - 4 * 4.97 * -5.6)) / (2 * 4.97)
t = (38.5 ± √(1466.25 + 113.92)) / 9.94
t = (38.5 ± √1580.17) / 9.94
The square root of 1580.17 is 39.67, so:
t = (38.5 ± 39.67) / 9.94
t = (38.5 + 39.67) / 9.94 or (38.5 - 39.67) / 9.94
The first solution gives us a time of approximately 3.86 seconds, while the second solution is negative and therefore represents an unrealistic result.
The toy rocket will hit the ground after approximately 3.86 seconds.
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C) If a person needs 103. 8 ml of water from burning C₁2H24O12. How many grams
of C12H24012 is needed to acquire the needed volume of water? (hint: what is the
density of water?)
The density of water is 1 g/mL, so for this problem, we would multiply 103.8 mL by 1 g/mL to get our answer of 103.8 grams.
The density of water is 1 gram per milliliter (1 g/mL). This means that for every milliliter of water, there is 1 gram. Therefore, to answer the question of how many grams of C12H24012 is needed to acquire the needed volume of water (103.8 mL), we need to multiply the volume of water by the density of water. To do this, we will use the equation: Mass (g) = Volume (mL) x Density (g/mL). For this problem, the equation would be: Mass (g) = 103.8 mL x 1 g/mL.Therefore, the answer to the question is 103.8 grams of C12H24012 is needed to acquire the needed volume of water.In conclusion, to figure out how many grams of C12H24012 is needed to acquire the needed volume of water, we need to multiply the volume of water (in mL) by the density of water (in g/mL). The density of water is 1 g/mL, so for this problem, we would multiply 103.8 mL by 1 g/mL to get our answer of 103.8 grams.
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scooter fun and skoot zoom are elevtronic scooter rental companies. Scooter fun charges an $8 deposit plus $6 per hour rental free.
which type of graph would best display the following data? the number of hours a student spent studying for several tests and the student's grade on each test.
A scatter plot would best display the relationship between the number of hours a student spent studying for several tests and the student's grade on each test.
A scatter plot is a graph that displays the relationship between two continuous variables. In this case, the number of hours a student spent studying is the independent variable, which would be plotted on the x-axis. The student's grade on each test is the dependent variable, which would be plotted on the y-axis. Each data point would represent a single test, with the x-coordinate indicating the number of hours studied for that test and the y-coordinate indicating the grade received.
By using a scatter plot, you can easily identify any patterns or relationships between the number of hours studied and the student's grades on each test. It can also help to identify any outliers or anomalies in the data.
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for the study of jordanian children in exercise 64, the sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl. (a) calculate the test statistic. (b) find the p-value using table b. then obtain a more precise p-value from your calculator
The sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl. The test statistic is 50 and then the p-value is 32.93
Mean is the ratio of the sum of all observations to the number of observations. Standard deviation is the measure in which it shows how much the variation such as spread, dispersion, from the mean exists and the study of jordanian children in exercise 64, the sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl.
For the study of jordanian children in exercise 64, the sample mean hemoglobin level was 11.3 mg/dl and the sample standard deviation was 1.6 mg/dl.
Given that, exercise n =64
mean = 11.3 mg/dl
standard deviation = 1.6mg/dl
The test statistic is 50
the p-value is calculated by, (n-mean) / (standard deviation)
(64 - 11.3) / (1.6)
32.93
Therefore, the p-value in which it obtains a more precise value is 32.93
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A rectangular piece of Bluestone measures 18" on the two long sides and 12" on
the two short sides. To determine the perimeter (or length around the outside), you
add the lengths of the four sides. What is the perimeter of the plate?
The perimeter of the plate is 60"
How to determine the perimeter of the plate?From the question, we have the following parameters that can be used in our computation:
Length = 18"
Width = 12"
The perimeter of the rectangle piece can be calculated as
Perimeter = 2 * (Length + Width)
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 * (18 + 12)
Evaluate
Perimeter = 60
Hence, the perimeyer is 60"
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2. Andrea and Casey work at a restaurant over the summer. Andrea gets paid $25 when they
work along with an average of $9 in tips every hour. Casey only gets $10 when they work,
but they make an average of $14 in tips every hour. Write a system of equations to determine
how many hours it takes for Andrea and Casey to make the same amount of money? How
much money is it?
Answer:
So Andrea and Casey each make $52 after working for 3 hours.
Step-by-step explanation:
Let's call the number of hours that Andrea and Casey work "x".
The amount of money that Andrea makes in a given hour can be represented as 25 + 9x.
The amount of money that Casey makes in a given hour can be represented as 10 + 14x.
We want to find the number of hours it takes for Andrea and Casey to make the same amount of money, which we can represent as:
25 + 9x = 10 + 14x
To solve for x, we can isolate x by subtracting 10 from both sides of the equation:
15 + 9x = 14x
Next, we can isolate 9x by subtracting 14x from both sides of the equation:
15 = -5x
Finally, we can divide both sides of the equation by -5 to solve for x:
-3 = x
So it takes 3 hours for Andrea and Casey to make the same amount of money. To find the amount of money, we can plug in x = 3 back into either of the equations:
Andrea's equation: 25 + 9x = 25 + 9 * 3 = 25 + 27 = 52
So Andrea and Casey each make $52 after working for 3 hours.
The scatter plot and line of best fit below show the length of 12 people's femur (the
long leg bone in the thigh) and their height in centimeters. Based on the line of best
fit, what would be the predicted femur length for someone with a height of 218 cm?
The predicted femur length for someone with a height of 218 cm is 68 cm.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the graph,
Coordinates = (30, 127), (35, 139), (40, 151).
Now,
The equation of the line of best fit.
y = mx + c
Where x is the femur length and y is the height.
Take two coordinates.
m = (139 - 127) / (35 - 30)
m = 12/5
m = 2.4
And,
(30, 127) = (x, y)
127 = 2.4 x 30 + c
127 - 72 = c
c = 55
So,
y = 2.4x + 55
Now,
For y = 218.
Solve for x.
218 = 2.4x + 55
218 - 55 = 2.4x
163 = 2.4x
x =163/2.4
x = 67.9
x = 68 cm
Thus,
The predicted femur length for someone with a height of 218 cm is 68 cm.
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consider the ir spectrum. an i r spectrum has percent transmittance from 0 to 100 percent on the y axis and wave number in inverse centimeters from 4000 to 600 on the x axis, with peaks, or bands, pointing downwards. there is a strong, very broad band in the 3600 to 3100 inverse centimeter range, a strong, spiked peak in the 3000 to 2800 inverse centimeter range, a weak peak near 1850 inverse centimeters, a sharp peak near 1640 inverse centimeters, a series of spiked bands in the 1500 to 1200 inverse centimeter range, and two strong bands at 990 and 910 inverse centimeters. which compound matches the ir spectrum?
The IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform ([tex]CHCl_{3}[/tex]).
The IR spectrum described suggests the presence of several functional groups in the compound.
The strong, broad band in the 3600 to 3100 inverse centimeter range corresponds to the stretching vibration of the O-H bond in alcohols, while the strong, spiked peak in the 3000 to 2800 inverse centimeter range corresponds to the stretching vibration of the C-H bond in alkanes. The weak peak near 1850 inverse centimeters corresponds to the stretching vibration of the C=O bond in ketones, while the sharp peak near 1640 inverse centimeters corresponds to the stretching vibration of the C=C bond in alkenes.
The series of spiked bands in the 1500 to 1200 inverse centimeter range corresponds to the bending vibrations of the C-H bond in alkanes, while the two strong bands at 990 and 910 inverse centimeters correspond to the stretching vibration of the C-Cl bond in alkyl chlorides.
Based on this information, the compound that matches the IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform ([tex]CHCl_{3}[/tex]).
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What is the area of this compound figure?
The area of this compound figure is 85 cm².
What is the area of the compound figure?
The area of the compound figure given is calculated by subtracting the small area of the figure from the big figure.
A (total) = 9 cm x 15 cm
A (total) = 135 cm²
The area of the small figure is calculated as follows;
A (small) = ( 9 cm - 4 cm ) x ( 15 cm - 5 cm )
A (small) = ( 5 cm ) x ( 10 cm )
A (small) = 50 cm²
The area of this compound figure = ( 135 cm² - 50 cm² ) = 85 cm²
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five times a number is 120
Answer: The Number is 24.
Step-by-step explanation:
1) Set unknown number to a variable (I'm going to do x).
2) Set up equation: 5x = 120.
3) Simplify by dividing both sides by 5: 5x/5 = 120/5 = 24.
verify the identity (cos 2x)/(sin x)=csc x-2sinx
Use identities:
cos 2x = 1 - 2sin² xcsc x = 1 / sin xThen apply to the left side of the given equation:
cos 2x / sin x = Substitute(1 - 2sin² x) / sin x = Distribute1 / sin x - 2sin² x / sin x = Simplifycsc x - 2sin x AnswerProved
Triangles EFD and GHI are shown.
Part A
Are the triangles congruent?
Part B
If the triangles are congruent, write the congruence statement. If not, write “not congruent.”
Part C
If the triangles are congruent, write the transformation or sequence of transformations. If they are not congruent, write "not congruent."
The triangles are congruent by SSS and the transformation rule is (x, y) ⇒ (x - 4, y)
Part A: Are the triangles congruent?From the question, we have the following parameters that can be used in our computation:
Triangles EFD and GH
The triangles are congruent because they have equal corresponding side lengths
Part B: The congruent statementThe corresponding sides of the triangles are congruent
So, the congruent statement is SSS
The transformation ruleFrom the figure, we can see that:
EFD is shifted left by 4 units
So, the rule is
(x, y) ⇒ (x - 4, y)
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yall know what the blanks are supposed to be??????
Answer: Region Z
Step-by-step explanation: Region X is smaller than Region Y, while Region Y is smaller than Region Z.
An herbalist has 15 oz of herbs costing $3 per ounce. How many ounces of herbs costing $2 per ounce should be mixed with these 15 oz of herbs to produce a mixture costing $2.50 per ounce?
15 ounces of herbs should be mixed to produce a mixture of costing $2.50 per ounce.
What is meant by addition?
In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.
Given that, an herbalist has 15 ounces of herbs costing $3 per ounce.
Let the ounces of herbs costing $2 per ounce that should be added to the above herbs be 'x'
Cost of total mixture is 15*3 + x*2 = (x+15)*2.5
15*(3-2.5) = x*(2.5-2)
15*0.5 = x*0.5
x = 15
Therefore, 15 oz of herbs for $2 should be added.
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(a) Share £40 in the ratio 1:3:4
(c) Share 88p in the ratio 2:4:5
(d) Share 180° in the ratio 2:2:5
Pls help, if you don't mind
I would rlly appreciate that
£40 is shared as £5, £15 and £20. 88p is shared as 16p, 32p and 40p. 180° is shared as 40°, 40° and 100°
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
a) Share £40 in the ratio 1:3:4
For the first ratio = (1/8) * £40 = £5
For the second ratio = (3/8) * £40 = £15
For the third ratio = (4/8) * £40 = £20
b) Share 88p in the ratio 2:4:5
For the first ratio = (2/11) * 88p = 16p
For the second ratio = (4/11) * 88p = £32
For the third ratio = (5/11) * 88p = 40p
c) Share 180° in the ratio 2:2:5
For the first ratio = (2/9) * 180° = 40°
For the second ratio = (2/9) * 180° = 40°
For the third ratio = (5/9) * 180° = 100°
The ratios are shown above
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group of up to 40 people are going on a trip to Washington, DC. Some will travel
a van that holds 12 people, and the rest will buy train tickets. Write an inequality
hat can be used to find the number of train tickets that the group will need.
Answer:
y <= 40
Step-by-step explanation:
Let's call the number of people traveling by van "x", and the number of people buying train tickets "y". We know that the total number of people in the group is 40, so we can write the equation:
x + y = 40
And we also know that the van can hold up to 12 people, so we can write the inequality:
0 <= x <= 12
Now, to find the number of train tickets, we just need to substitute
x = 40 - y into the second inequality:
0 <= 40 - y <= 12
Expanding and solving for y, we get:
0 <= 40 - y <= 12
-40 <= -y <= -28
y >= 28
y <= 40
So the number of train tickets needed (y) is equal to or greater than 28 and equal to or less than 40.
Answer:
Inequality: 12 + x ≤ 40
Solution: x ≤ 28
Step-by-step explanation:
Let x be the number of train tickets that the group will need.
As the van holds 12 people and the rest will buy train tickets, an expression for the total number of people is:
12 + xIf the group is up to 40 people then 12 + x will be less than or equal to 40:
12 + x ≤ 40Therefore, the inequality that can be used to find the number of train tickets that the group will need is:
12 + x ≤ 40To solve the inequality, subtract 12 from both sides:
⇒ 12 + x - 12 ≤ 40 - 12
⇒ x ≤ 28
Therefore the number of train tickets that the group will need is less than or equal to 28 tickets.
PLEASE HELP ASAP DUE TODAY
Answer: 1) (0, -3) & 2) (0,0)
Step-by-step explanation:
what is the area for all of them
PLEASE I NEED HELP
The value of the areas are;
1. 24 cm²
2. 304cm²
3. 28. 36cm²
4. 5cm²
5. 189cm²
How to determine the areaThe formula for calculating the area of a triangle is expressed as;
Area = 1/2bh
Substitute the values
Area = 1/2 × 4 × 12
Multiply
Area = 24 cm²
For the area of a parallelogram
Area = ab, length of its sides
Substitute the values
Area = 304cm²
For the area of a rectangle
Area = lw, length and width
Area = 28. 36cm²
For the area of a pentagon
Area = 1/2 base × height
Area = 1/2 × 2.5 × 4
Area = 5cm²
For the area of a trapezium
Area = 1/2 (a + b)h
Area = 1/2 (18+24)9
Area = 189cm²
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