A chart showing the results of data collection for frequency of fast food consumption by each of three head of household age groups is an example of a(n) ______.
Answers
The chart showing the results of data collection for frequency of fast food consumption by each of three head of household age groups is an example of a frequency distribution chart.
A frequency distribution or frequency table is a way of organizing and presenting data by categorizing it into different groups or intervals and indicating the number of occurrences or frequency within each group. In this case, the data collected pertains to the frequency of fast food consumption for three different age groups of household heads.
The chart would typically have three columns representing the age groups (e.g., 18-30, 31-45, 46-60), and another column indicating the frequency or number of households within each age group that reported a specific frequency of fast food consumption (e.g., daily, weekly, monthly). The frequencies can be represented in numbers or percentages.
This type of chart helps visualize the distribution of fast food consumption habits across different age groups, allowing for comparisons and analysis of patterns or trends. It provides a concise summary of the collected data and facilitates easy interpretation and understanding of the frequency distribution within each age group.
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Related Questions
An audio player uses a low-quality hard drive. The initial cost of building the player is $50.The hard drive fails after each month of use with probability 1/12.The cost to repair the hard drive is $20. If a 1-year warranty is offered, how much should the manufacturer charge so that the probability of losing money on a player is 1% or less
Answers
The given problem can be solved using binomial distribution and expected value.
Given that the audio player uses a low-quality hard drive, the initial cost of building the player is $50, and the hard drive fails after each month of use with probability 1/12. The cost to repair the hard drive is $20.
If a 1-year warranty is offered, the manufacturer should charge $67.37 or more so that the probability of losing money on a player is 1% or less.
Let the price charged by the manufacturer be $X
The probability of the player failing in a given month = 1/12
Let the probability of the player not failing in a given month be q.
Therefore q = 11/12
Cost of repairing the player = $20
Therefore, the cost of production of the player along with the cost of repairing for the whole year is
$50 + (12 * $20) = $290
Probability of the player not failing in the year = (11/12)^12
Probability of the player failing at least once in the year = 1 - (11/12)^12
Let Y be the number of failures in a year.
Therefore, Y can take the values 0, 1, 2, ..., 12, each with a certain probability.
P(Y=k) = C(12,k) p^k (1-p)^(n-k),
where C(12,k) = 12!/[k!*(12-k)!], p = 1/12, n= 12
For the manufacturer to not lose money, the expected amount received from selling one player should be at least the cost of production for the player along with the cost of repair for the year plus the amount that needs to be paid to customers for warranty claims.
Mathematically, it can be written as:
X * [1 - P(Y≤1)] ≥ $290 + X * P(Y>1)
On solving this inequality, the value of X comes out to be $67.37 or more.
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Two customers spent the same total amount of money at a restaurant.
• The first customer bought 8 hot wings and left a $4 tip.
• The second customer bought 10 hot wings and left a $2.80 tip.
• Both customers paid the same amount per hot wing.
How much does one hot wing cost at this restaurant in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.
+/-
Answers
Explanation:
We’ll solve this with a set of equations since the price per wing is fixed and they paid the sam amount at the restaurant. Let x represent the cost of 1 wing.
8x + 4.00 = 10x + 2.80
4.00 = 2x + 2.80
1.20 = 2x
0.60 = x
So, we have found that one wing cost $0.60.
Cheers.
Using your results, draw a conclusion about the relationship between two triangles when two pairs of corresponding side lengths are proportional by the same ratio and their included angles are congruent.
Answers
The conclusion about the congruent triangles is explained below.
What is congruent triangles?
Two triangles are stated to be congruent if the 3 facets and the 3 angles of each the angles are same in any orientation.
Two pairs of corresponding side lengths are proportional by the same ratio. Also the angles are congruent.
So, the triangles are congruent.
This standards of congruency is is aware of as ASA criterion as a facet blanketed among angles are all identical.
Two triangles are congruent, if angles and the facet blanketed among them in a single triangle is same to the 2 angles and the facet blanketed among them of the alternative triangle.
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I need help with this
Answers
Answer: 0.6 grams
Step-by-step explanation: divide grams by cm and its 0.6
(Please help) What is the rate of change of y with respect to x?
Answers
answer will be 2÷18=9
and the answer is 9
please mark this answer as brainlist
Alex has $50,000 to invest in a simple interest account that earns 6.5% annual interest. If Alex wants to withdraw the money after 15 years, how much would she be able to withdraw?
Answers
Answer:
$98,750
Step-by-step explanation:
6.5% = 0.065
50,000 x 0.065 = 3250.
3250 x 15 = 48,750
50,000 + 48,750 = $98,750
Split 45 in the ratio 7:8
Answers
All you have to do is turn the 7:8 to a decimal then multiple 45 In.
Hope this helps
Answer:
21
and 24
Step-by-step explanation:
let the ratio be 7x and 8x
then,
7x + 8x = 45
15x = 45
X = 45/15
X =3
so
7x =7*3=21
8*=8*3=24
Suppose the following expression is given: P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1). a) Write down the "realization" of the stochastic process implied by the above expression, and explain what it means.
Answers
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.
If the process is discrete, then the function is a sequence of values at discrete points in time.
A stochastic process is one that evolves over time and the outcomes are uncertain.
The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.
To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.
The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
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Pls help me i rlly need help im bad at math
Answers
Answer:
115
Step-by-step explanation:
So you've already driven 124, so you would just subtract taht from 239
Explanation:
You have to subtract. 239 - 124 = 115 miles are left.
Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs
$1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?
Answers
Answer:
Should be B
Step-by-step explanation:
Answer:
b. 1.6n less-than-or-equal-to 56
Step-by-step explanation:
Find the volume of a pyramid whose base is a square with side lengths of 6 units and height of 8 units
Answers
Answer:
6x8=48
Step-by-step explanation:
Another way you can find the volume by counting all the squares/every one of them and make sure you count them correctly, so you don't miscount.
The calculation of the volume of a pyramid is an important concept in mathematics and has applications in many fields. It is used in architecture and engineering to calculate the volume of structures such as buildings and bridges. The volume of a pyramid is also used in physics to calculate the volume of objects such as cones and spheres.
The formula for the volume of a pyramid is derived from the formula for the volume of a prism. A prism is a three-dimensional shape with two parallel bases that are congruent polygons. The volume of a prism is given by the formula V = Bh, where B is the area of the base and h is the height of the prism. A pyramid is a prism with a polygonal base and a point at the top. The volume of a pyramid is one-third the volume of a prism with the same base and height.
In conclusion, the calculation of the volume of a pyramid is an important concept in mathematics and has many applications in various fields. The formula for the volume of a pyramid is derived from the formula for the volume of a prism, and it is used to calculate the volume of structures such as buildings and bridges. The formula is also used in physics to calculate the volume of objects such as cones and spheres.
a writer wrote 10,010 words for his book on the first day of writing. he wrote 9,760 words on the second day, 9,510 words on the third day, and continued this way in an arithmetic sequence. write an explicit rule showing the equation for the number of words the writer would write on the 14th day, and solve.
Answers
Answer:
rule: an = 10010 -250(n -1)day 14: 6760 wordsStep-by-step explanation:
The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.
Formula for Arithmetic SequenceThe explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...
\(a_n=a_1+d(n-1)\)
ApplicationFor first term a₁ = 10010 and common difference d = -250, the explicit rule is ...
\(a_n=10010-250(n-1)\)
On day 14, n=14, and the number of words written is ...
\(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)
The writer would write 6760 words on the 14th day.
D Calculate the value of the error with one decimal place for: Z= # where x = 5.9 +/-0.5 and y = 2.1 +/- 0.2 Please enter the answer without +/- sign. 4 Question 2 Calculate the value of the error wit
Answers
The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.
To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.
In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:
ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)
Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:
ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134
Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.
Therefore, the value of the error for Z, with one decimal place, is 4.
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What is the slope of the line graph?
Answers
Answer:1,-1
Step-by-step explanation:
A company produces a computer part and claims that 98% of the parts produced work properly. A purchaser of these parts is skeptical and decides to select a random sample of 250 parts and test cach one to see what proportion of the parts work properly. Based on the sample, is the sampling distribution of p
^
approximately normal? Why? a. Yes, because 250 is a large sample so the sampling distribution of β is approximately normal. b. Yes, because the value of np is 245 , which is greater than 10, so the sampling distribution of p
^
is approximately normal. c. No, because the value of n(1−p) is 5 , which is not greater than 10 , so the sampliog distribution of p is not approximately normal. d. No, because the value of p is assumed to be 98%, the distribution of the parts produced will be skewed to the left, so the sampling distribution of p
^
is not approximately notimal.
Answers
The correct option is b. Yes, because the value of np is 245, which is greater than 10, so the sampling distribution of p^ is approximately normal.
The condition for the sampling distribution of p^ (sample proportion) to be approximately normal is based on the Central Limit Theorem. According to the Central Limit Theorem, when the sample size is sufficiently large, the sampling distribution of the sample proportion becomes approximately normal, regardless of the shape of the population distribution.
In this case, the sample size is 250, and the claimed proportion of parts that work properly is 0.98. To check if the condition for approximate normality is met, we calculate np and n(1-p):
np = 250 * 0.98 = 245
n(1-p) = 250 * (1 - 0.98) = 250 * 0.02 = 5
To satisfy the condition for approximate normality, both np and n(1-p) should be greater than 10. In this case, np = 245, which is greater than 10, indicating that the number of successes (parts that work properly) in the sample is sufficiently large. However, n(1-p) = 5, which is not greater than 10. This means the number of failures (parts that do not work properly) in the sample is relatively small.
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You want to determine the average (mean) number of robocalls received each day by adults in New Zealand. Sample 1: A set of 550 New Zealanders randomly selected from a list of all licensed car owners in New Zealand Sample 2: The 550 adults in New Zealand who respond to a survey published in a newspaper Sample 3. The first 550 people to visit a particular Auckland grocery store one day Sample 4: A set of 550 New Zealanders with phone numbers randomly selected from a list of all phone numbers in New Zealand Which sample is most likely to be a representative sample? For each other sample explain why that sample is not likely to be a representative sample.
Answers
A representative sample is defined as a group of subjects who are chosen to participate in research studies to assess the characteristics of the population.
In this case, Sample 1, A set of 550 New Zealanders randomly selected from a list of all licensed car owners in New Zealand, is the most likely to be a representative sample because it is obtained by a random sampling method that covers the entire population and is unbiased. Explanation:In general, a representative sample is essential for ensuring that the results of any analysis are valid. Therefore, the accuracy of the sample is critical. A random sampling method, such as Sample 1, is used to obtain representative samples. All samples other than Sample 1 are not representative samples because of the following reasons:Sample 2: This sample is not representative because it has self-selection bias, meaning that only those who are interested in the topic of the survey respond. Those who are not interested in the subject of the study do not respond.Sample 3:
This sample is not representative because it is biased toward the people who visit the particular Auckland grocery store on the day it was sampled. This sample is also subject to the voluntary response bias because only those who wanted to participate in the survey on that day did so.Sample 4: This sample is not representative because it is not randomly selected. Random sampling, as stated earlier, is necessary for obtaining a representative sample.Therefore, Sample 1 is most likely to be a representative sample because it is unbiased and obtained by a random sampling method that covers the entire population.
All other samples are not representative samples because of self-selection bias, voluntary response bias, or non-random selection. The long answer above provides a comprehensive explanation of why this is so.
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What is the equation of the line through 1 2 which makes equal intercepts on the axis?
Answers
The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
\(\frac{x}{a} +\frac{y}{b} =1\)
If they make an equal intercept
\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)
Put the value of the point in the axis, and we get.
\(1+2=a\\a=3\)
Put the value in the equation, and we get.
\(x+y=3\)
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suppose your coworker proposes the following summary statement for the article: an economist/yougov national poll was conducted july 27-30, 2019 to see what proportion of americans approve of the way donald trump is handling his job as president. the poll was conducted online. the margin of sampling error for overall results is plus or minus 2.5 percentage points. there are two pieces of information missing in this statement for you to be able to approve it. what is the missing information?
Answers
The missing information is the sample size and the actual proportion of Americans who approve of the way Donald Trump is handling his job as president.
To approve the summary statement, we need to know the sample size and the proportion of Americans who approve of Donald Trump's job performance. These two pieces of information are crucial for understanding the validity and representativeness of the poll results.
The sample size refers to the number of participants in the poll, which affects the precision and reliability of the findings. Without knowing the sample size, it is difficult to assess the statistical significance of the results.
Similarly, the actual proportion of Americans who approve of Donald Trump's job as president is essential to determine the accuracy of the poll. It provides a baseline against which the poll results can be compared. Without this information, it is impossible to evaluate the significance and reliability of the reported proportions.
To fully evaluate and approve the summary statement, we need to know the sample size and the actual proportion of Americans who approve of Donald Trump's job as president. These missing pieces of information are crucial for understanding the representativeness and reliability of the poll results.
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The number of points Jadas basketball team scored in their games has a mean of about 44 and a standard deviation of about 15.7 points. Interpret the mean and standard deviation in the context of Jadas basketball team.
Answers
Answer: Mean- Through an example of calculation below, we can say that the sample mean of Jada's basketball team score is 44.
Example: (42 + 44 + 46) / 3 = 44
Standard Deviation- The standard deviation of 15.7 points shows that the range of scores for Jada's basketball team is close to each other.
Step-by-step explanation:
Answer:
Mean- Through an example of calculation below, we can say that the sample mean of Jada's basketball team score is 44.
Example: (42 + 44 + 46) / 3 = 44
Standard Deviation- The standard deviation of 15.7 points shows that the range of scores for Jada's basketball team is close to each other.
Step-by-step explanation:
Evaluate the line integral.
∫c x y dx + y2 dy + yz dz, C is the line segment from (1, 0, −1), to (3, 4, 2)
Answers
The value of the line integral is approximately 34.3333.
How to find the value of line integral?To evaluate the line integral, we need to parametrize the line segment C from (1,0,-1) to (3,4,2) with a vector function r(t) = <x(t), y(t), z(t)> for t in [0,1].
We can do this by defining:
x(t) = 1 + 2ty(t) = 4tz(t) = -1 + 3tfor t in [0,1].
Note that when t = 0, r(0) = (1,0,-1), and when t = 1, r(1) = (3,4,2), as desired.
Next, we need to compute the line integral:
∫c x y dx + y²dy + yz dz
Using the parametrization r(t), we have:
dx = 2 dtdy = 4 dtdz = 3 dtand
x(t) y(t) = (1 + 2t)(4t) = 4t + 8t²y(t)² = (4t)² = 16t²y(t) z(t) = (4t)(-1 + 3t) = -4t + 12t²Substituting these expressions and simplifying, we get:
∫c x y dx + y² dy + yz dz = ∫[0,1] (4t + 8t²)(2 dt) + (16t²)(4 dt) + (-4t + 12t²)(3 dt)= ∫[0,1] (8t + 32t² + 48t³ - 12t + 36t²) dt= ∫[0,1] (48t³ + 68t² - 4t) dt= [12t⁴ + (68/3)t³ - 2t²] evaluated from 0 to 1= 12 + (68/3) - 2 = 34.3333Therefore, the value of the line integral is approximately 34.3333.
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Steve is traveling from Atlanta to Houston, a distance of 704 miles. If he divides the trip into two parts,
which the ratio of the parts is 2:5, how many miles does he drive in each section?
Answers
Answer:
201.14 , 502.85
Step-by-step explanation:
704/7 = 100.57
2*100.57 = 201.14
5*100.57 = 502.85
Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? Describe what each type of solutions look like.
Answers
Answer:
Step-by-step explanation:
H
Solve the trigonometric equation (cosx−1/2)(2sinx−1)=0 in the interval [0,360∘)
Answers
The solutions to the equation (cosx−1/2)(2sinx−1)=0 in the interval [0,360∘) are 60 degrees, 300 degrees, 30 degrees, and 150 degrees.
Angle | Degrees
-------|--------
60 | 60
300 | 300
30 | 30
150 | 150
The given equation is:
(cosx−1/2)(2sinx−1)=0
We can solve this equation by setting each factor equal to 0 and solving for x.
cosx - 1/2 = 0
2sinx - 1 = 0
cosx = 1/2
The cosine function is equal to 1/2 at 60 degrees and 300 degrees.
When we solve for x in the second equation, we get:
sinx = 1/2
The sine function is equal to 1/2 at 30 degrees and 150 degrees.
Therefore, the solutions to the equation (cosx−1/2)(2sinx−1)=0 in the interval [0,360∘) are 60 degrees, 300 degrees, 30 degrees, and 150 degrees.
Angle | Degrees
-------|--------
60 | 60
300 | 300
30 | 30
150 | 150
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y-5 = -3 (x+2) in standard form
Answers
Answer:
maybe y - -3x = -11?
Step-by-step explanation:
im rushing so i may have did it wrong sorry
This is confusing me! Please help
Answers
Answer:
£2.85
Step-by-step explanation:
Lucy paid this amount she used six coin remember you have to calculate them to get the 85 and u can't use £1
three different ways she could have paid
50+20+10+5=85(£2.85)
50+10+10+10+5=85(£2.85)
20+20+20+10+10+5=(£2.85)
In 2014 the numbers visiting an historic site increased by 22% on the previous year. In 2015 the numbers visiting the historic site decreased by 20% on the previous year. In 2015 there were 7076 visitors to the historic site. Work out how many visitors there were during 2013.
Answers
There were approximately 7250 visitors to the historic site in 2013.
To find the number of visitors in 2013, we need to work backward using the given information about the percentage changes.
Let's assume the number of visitors in 2013 as 'x'.
In 2014, the number of visitors increased by 22% compared to the previous year. This means the number of visitors in 2014 is 100% + 22% = 122% of the number of visitors in 2013.
So, the number of visitors in 2014 is 1.22x.
In 2015, the number of visitors decreased by 20% compared to the previous year. This means the number of visitors in 2015 is 100% - 20% = 80% of the number of visitors in 2014.
So, the number of visitors in 2015 is 0.8(1.22x) = 0.976x.
Given that there were 7076 visitors in 2015, we can set up the following equation:
0.976x = 7076
To solve for x, we divide both sides of the equation by 0.976:
x = 7076 / 0.976
x ≈ 7250
Therefore, there were approximately 7250 visitors to the historic site in 2013.
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Oliver bought 7 bags of candy. Each bag cost 1. 50. How much money did he have to pay
Answers
Describe and correct the error in
writing an equation of the line that passes through
(4.-5) and is perpendicular to the line y = 1/3x+5
)
Answers
make the y int -4 because it passes through (0,-4). to make perpendicular, apply same slope to new equation but change sign
answer the question.
Answers
Answer: 3y
Step-by-step explanation: hope this helps :)
Answer:
z=18
Step-by-step explanation:
because you have to multiply If x is 3 the multiply 3 times 2 and it is y is 6 and then 6 times 3 is z is 18 and there is your answer.
Numbers 1-6 please and thank you This is really hard and I really really need help. I appreciate all the help I can get.
Answers
Area of prism = base area × altitude
1. (2x²-10)(x+4)
= 3x³-2x - 40
2. Base area = 2πr
Volume = (2πr)(r²+ 5r)
=2πr³ + 10πr²
3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)
Volume= 3(x-4)(x+3)(⅓)
=(x-4)(x+3)= x² - x -12
4. Base circumference= 10π
Base radius = 10π/(2π) = 5
Base area = πr² = 25π
Volume = 25π(3x²-2x)
=125πx²-50πx
5. Volume = 3π√50
=15π√2
6. Base diameter = 16
Base radius = 16/2 = 8
Base area = 2πr = 16π
Volume = 16π(23a²)
=368πa²