Answer:
See below
Step-by-step explanation:
x 1 2 3 4 5
y 3 6 9 12 15
The formula for the area of a regular polygon is A = [tex]\frac{1}{2} a[/tex] P where a is the length of the apothem and P is the perimeter.
MULTI-CHOICE. Choose ALL that are correct.
A) The apothem of a regular hexagon is 6.322 cm and the length of a side is 7.3 cm. The area equals 276.9[tex]cm^{2}[/tex]
B) The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55[tex]cm^{2}[/tex]
C) The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71[tex]cm^{2}[/tex]
Answer:
Your answer is:
B) The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55
And
C) The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71
Step-by-step explanation:
The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55 and The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71
What is Polygon?Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The formula for the area of a regular polygon is A=1/2aP
Where a is the length of the apothem and P is the perimeter.
The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55
A=1/2×4.6797×34
We have to get 79.55 to tell the option B is true.
A=79.55
SO option B is correct.
Now let us check for C.
The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71
Perimeter of octagon =8a
a is the side
Perimeter=8×5=40
A=1/2×6.0355×40
A=120.71 square centimeter.
Hence, option B and option C are correct.
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Sarah borrows $100. she earns $ 300 per day. Let y represent the number of dollars Sarah has in X days. An equation represent this situation is entered into a graphing calculator
The graphing window that will correctly graph the linear function is given as follows:
-1 <= x <= 15 and -150 <= y <= 3700.
How to define the linear function?The linear function in slope-intercept format for this problem is defined as follows:
y = mx + b.
In which:
m is the slope, representing the daily amount earned.b is the intercept, representing the initial amount borrowed.Hence the function for this problem is defined as follows:
y = 100 + 300x.
Meaning that the amounts of the initial and final days are given as follows:
Day 0: 100.Day 12: 100 + 300 x 12 = 3700.And the graph window is given as follows:
-1 <= x <= 15 and -150 <= y <= 3700.
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Which of the following measurements is the GREATEST in magnitude? Hint: be sure
to convert all the measurements to the same units before comparing them!!!
520 g
52 kg
699 g
O2354 mg
Answer:
52kg
Step-by-step explanation:
Please help me with all I’ll mark you brainly
The two lines have the same slope, therefore they are parallel and there is no solution.
y=-2x+6 y=2x+2 is linear or not?
This is an example of a simple linear function. The line you see on the graph, is an expression of the function rule "y = 2x +6".
2x+y=6 ⇒(1)
2x-y=2⇒(2)
Add equ(1) and (2)
so by adding we get,
2x+y+2x-y=6+2
adding the like terms.
we get,
4x=8
x=8/4=2
put x=2 in equ(1)
we get,
2(2)+y=6
4+y=6
y=6-4=2
so the values of x and y are 2 , 2 .
Therefore, The two lines have the same slope, therefore they are parallel and there is no solution.
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The mean and standard deviation of the sample data collected on continuous variable Y are −0.5 and 0.5, respectively. The following table shows the relative frequencies of the data in the given intervals. Based on the table, is it appropriate to use the normal model to approximate the population distribution?
Yes, the data support the use of a normal mode.with two standard deviations, the quantities have always been 0.95, and according to the empirical rule.
According to the question,
The values that are one standard deviation away are:
= 0.33+0.36
= 0.69
As per the empirical rule, the value will be:
= 0.68
Consequently, with two standard deviations, the quantities have always been 0.95, and according to the empirical rule. So the empirical rule followed by the data.
Thus the above response is correct.
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Dominic collected data on the location where students of two grades would most like to visit and displayed it on a table.
Aspen, Colorado New York, New York Chicago, Illinois Total
Under age 15 21% 16% 12% 49%
Age 15 and above 17% 24% 10% 51%
Total 38% 40% 22% 100%
Which term best describes the entry of 51%?
Marginal frequency
Marginal relative frequency
Joint frequency
Joint relative frequency
The term that best describes the entry of 51% in this table is "Marginal relative frequency. The correct option is B.
What is Marginal relative frequency.?The ratio of a row total's or column total's frequency to the overall frequency of the data is known as marginal relative frequency. It is frequently used to examine broad trends in a single category of data.
For instance, the number of female students would be one marginal frequency in a table of students classified by sex and area of study, and the number of students enrolled in a particular area of study would be another, regardless of sex.
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at the company, the daily salary of a loan agent is $150 plus $50 per loan closed. let y represent the amount of money made by a randomly selected loan agent on a randomly selected day. which of the following statements is not true? A. The mean of X is less than the mean of Y. B. The standard deviation of Y is approximately $71. C. The mean daily salary is greater than $350 per day. D. The standard deviation of X is less than the standard deviation of Y. E. The shape of the probability distribution of Y is unimodal and roughly symmetric.
A. The mean of X is less than the mean of Y.
This statement is false. Since the daily salary of a loan agent is $150 plus $50 per loan closed, the mean of X (daily salary) is $150, and the mean of Y (amount of money made by a randomly selected loan agent on a randomly selected day) is 150 + 50 = $200. Therefore, the mean of X is not less than the mean of Y.
To calculate the mean of Y, we can use the formula: Mean = Sum of all values/Number of values.
For example, if the randomly selected loan agent closed three loans on a randomly selected day, the mean of Y would be (150 + (50*3))/1 = $250.
To calculate the standard deviation of Y, we can use the formula: Standard Deviation = √[Sum of(x-mean)^2/n]
For example, if the randomly selected loan agent closed three loans on a randomly selected day, the standard deviation of Y would be √[(150 + (50*3) - 250)^2/1] = √[(200)^2/1] = $71.
The mean daily salary is not greater than $350 per day. The mean daily salary is $150 plus $50 per loan closed. Therefore, if the randomly selected loan agent closed zero loans on a randomly selected day, the mean daily salary would be $150, which is not greater than $350.
The standard deviation of X is less than the standard deviation of Y. The standard deviation of X (daily salary) is 0, since the mean daily salary is always the same (it does not vary). The standard deviation of Y (amount of money made by a randomly selected loan agent on a randomly selected day) is not 0, since the amount of money made changes depending on how many loans the loan agent closes. Therefore, the standard deviation of X is less than the standard deviation of Y.
The shape of the probability distribution of Y is unimodal and roughly symmetric. This statement is true. The probability distribution of Y is unimodal because the amount of money made by a randomly selected loan agent on a randomly selected day is determined by the number of loans the loan agent closes. The probability distribution is roughly symmetric because the amount of money made can range from $150 (if the loan agent closes zero loans
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Write the slope- intercept form of the equation of the line described. 1)through: (-3,-2), parallel to y = 1
Answer: The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
y
=
−
3
2
x
−
1
Where
m
is the slope and
b
is the y-intercept value.
Therefore the slope of this line is:
m
=
−
3
2
Parallel lines by definition have the same slope. Therefore, we can substitute this slope into the formula giving:
y
=
−
3
2
x
+
b
We have been given a point on the parallel line so we can substitute the values of the point for
x
and
y
and solve for
b
y
=
−
3
2
x
+
b
becomes:
−
1
=
(
−
3
2
×
−
2
)
+
b
−
1
=
3
+
b
−
3
−
1
=
−
3
+
3
+
b
−
4
=
0
+
b
−
4
=
b
We can now substitute the slope and y-intercept into the formula giving:
y
=
−
3
2
x
+
−
4
y
=
−
3
2
x
−
4
Step-by-step explanation:
Answer:
-y-2=
Step-by-step explanation:
parallel to y=1,means the gradient is zero
(x,y) (-3-2)
-2-y/-3-x=
-2-y=
slope intercept form:ax+by+c=
-y-2=0
For 3-4, use the table at the right.
3. Emma has $100 to spend at the pet store. She needs
to buy 1 bag of dog food and 2 chew toys. Will
Emma have enough money left over to buy 3 times
as many catnip toys as chew toys? Explain.
No, Emma will not have enough money left over to spend 3 times as many catnip toys as chew toys.
How does math relate to money?For planning our spending, saving, and investing, we need math. In each scenario, having a solid grasp of mathematical ideas will be advantageous to your own finances. We are all effectively "bankers" in our individual lives because the term "banking" relates to handling money.
In this question,
1. Emma needs to spend $35 on 2 chew toys and 1 bag of dog food, which comes out to $20 + $15.
2. She has $65 in leftover funds because she has $100 to spend and $35 to spend it on.
3. She would need to spend $30 on 6 catnip toys, which is three times the amount she would spend on chew toys.
4. Nevertheless, she has just $65 left over, which is insufficient to pay for six catnip toys.
5. Consequently, Emma does not have enough cash on hand to purchase three times as many catnip toys as chew toys.
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Terrance hopes to earn $600 $ 600 in interest in 4.7 4.7 years time from $12,000 $ 12,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be
Answer:
The annual rate of interest would have to be approximately 12.77% for Terrance to earn $600 in interest in 4.7 years from an investment of $12,000.
Step-by-step explanation: This can be calculated by using the formula:
(future value) = (principal) * (1 + (interest rate) )^(number of years)
where future value = $12,600, principal = $12,000, number of years = 4.7
so (12600/12000)^(1/4.7) = 1 + r
r = (12600/12000)^(1/4.7) - 1 ≈ 12.77%
Round 89 to the nearest ten
Answer: 89 rounded to the nearest 10th is 90.
Step-by-step explanation:
If the second digit is 5 and above you round up, meaning you go the next number up. If it is 4 or below you round down, meaning you go down a number.
Companies are interested in the demographics of those who listen and call in to the radio programs they sponsor. Suppose that only 20% of listeners phoning into a morning talk show are male.a. If the station takes a random sample of 200 callers, what is the probability that the sample proportion of males will be at least 0.30?b. The station management wonders if adding a male host to the program will increase the proportion of callers who are male. After adding the male host, the station records selects a random sample of 200 callers and finds that 30% are male. Does this provide convincing evidence to suggest that the proportion of male callers has increased from 20%? Explain.
The probability that the sample proportion of males will be at least 0.30 is 0.1043.
It can be calculated by using a binomial probability formula. The formula is P(X ≥ 30) = ΣP(X = k), where k = 30, 31, 32, . . . , 200.
The probability is 0.1043.
b. After adding the male host, the station records select a random sample of 200 callers and finds that 30% are male. This provides convincing evidence to suggest that the proportion of male callers has increased from 20%. This is because the probability of observing a sample proportion of 30% or higher is 0.1043, which is greater than the 0.05 significance level commonly used in hypothesis testing. This means that the probability of the observed sample proportion being due to chance is very low and it is likely that the proportion of male callers has increased.
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ara sells apples at a farmers market she begins the day with 35 1/2 pounds of apples she sells half of the apples in the mornning 4/19 of the apples in the afternoon and 1/4 of the apples in the evening how many pounds of apples dose she have left
If me.hernandez turns in a late order for 1 turkey sandwich
Answer:
C.
Step-by-step explanation:
If by "turns in" they mean order, than its not a 3:4 ratio
(a) Make a histogram of Petal.Length for all 150 observations. Please try a number of different bin-widths and select one that best displays the distribution of the data. Comment on the shape of the histogram. (b) Make a boxplot of Petal.Length for all 150 observations.
The histogram shows that petal length is distributed in a slightly skewed unimodal shape, while the boxplot reveals that the median value is 3.0 and there are some outliers with values greater than 6.0.
The histogram of Petal. Length shows that the data is distributed in a slightly skewed unimodal shape, with most of the data concentrated in the lower range of petal length values. This indicates that the majority of observations have petal lengths of less than 4.0 cm. The bin-width used was 0.5 and the data was distributed into 9 bins.
The boxplot of Petal. Length reveals more information about the distribution of the data. The median value is 3.0, the interquartile range is from 2.0 - 5.1, and there are some outliers with values greater than 6.0. This indicates that while the majority of observations have petal lengths between 2.0 and 5.1 cm, there are a few observations with petal lengths greater than 6.0 cm. This boxplot also shows that the data is slightly skewed to the right, as the median is less than the mean, which is 3.76 cm.
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A line that includes the point (-8,3) has a slope of 0
Answer:
YES
Step-by-step explanation:
i know maths
In a certain year, 30% of adults in a certain country viewed a college education as essential for success. For the following ten-year period, this percentage increased by approximately 2.3 each year. The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by ________. The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by y = 31 + 2.3x
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, In a certain year, 30% of adults in a certain country viewed a college education as essential for success. For the following ten-year period, this percentage increased by approximately 2.3 each year.
Therefore, we have,
Initial percentage = 31%
Average increase of percentage = 2.3% per year
Therefore, it can be represented as:
y = 31 + 2.6x,
Where,
y- percentage after x years, x - number of years after the first year
Hence, the percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by y = 31 + 2.3x
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Find the value of log√27+log 8-log√1000 log 1.2
The value of (log √27 + log 8 - log √1000) / log 1.2 is 3/2.
What are Logarithms?A logarithm is simply the opposite function of the exponentiation.
It is the exponent to which a number or value is raised to get some other number.
That is, if c = aˣ, then we can write it as x =logₐ c.
We have some rules for logarithms which are discussed as below :
log (ab) = log a + log b
log (a/b) = log a - log b
log (aᵇ) = b log a
Using these, let's find the value of the logarithmic expression.
(log √27 + log 8 - log √1000) / log 1.2
= [log [tex](27)^\frac{1}{2}[/tex] + log (2)³ - log [tex](1000)^\frac{1}{2}[/tex]] / log ([tex]\frac{12}{10}[/tex])
= [ [tex]\frac{1}{2}[/tex] log (27) + 3 log (2) - [tex]\frac{1}{2}[/tex] log (1000)] / [log (12) - log (10)]
= [ [tex]\frac{1}{2}[/tex] log (3)³ + 3 log (2) - [tex]\frac{1}{2}[/tex] log (10)³] / [log (3 × 4) - log (10)]
= [ [tex]\frac{3}{2}[/tex] log (3) + 3 log (2) - [tex]\frac{3}{2}[/tex] log (10)] / [log (3) + log (2²) - log (10)]
= [ [tex]\frac{3}{2}[/tex] log (3) + [tex]\frac{3}{2}[/tex] 2log (2) - [tex]\frac{3}{2}[/tex] log (10)] / [log (3) + 2log (2) - log (10)]
= [tex]\frac{3}{2}[/tex] [log (3) + 2log (2) - log (10)] / [log (3) + 2log (2) - log (10)]
= 3/2
Hence the value of the logarithmic expression given is 3/2.
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Pam takes her truck in for basic service. The service agent says a few extra repairs are also needed, so Pam adds the cost of those repairs in her head, rounding to the nearest $10. The costs are as follows: Wheel alignment: $110 Transmission fluid flush: $75 Cabin air filter: $23 What is her total estimate for the repairs? Note: 4 or less: round down, 5 or more: round up. For example, 14 becomes 10, while 15 becomes 20.
Answer:
$210 when round up
Step-by-step explanation:
To find the total estimate for the repairs, we need to add up the cost of each individual repair.
Wheel alignment: $110
Transmission fluid flush: $75
Cabin air filter: $23
Total estimate = $110 + $75 + $23 = $208
Pam rounded the costs to the nearest $10, so the total estimate may not be exactly $208, but it will be close to it.
A basketball player has a constant probability of $.4$ of making any given shot, independent of previous shots. Let $a_n$ be the ratio of shots made to shots attempted after $n$ shots. The probability that $a_{10} = .4$ and $a_n\le.4$ for all $n$ such that $1\le n\le9$ is given to be $p^aq^br/\left(s^c\right)$ where $p$, $q$, $r$, and $s$ are primes, and $a$, $b$, and $c$ are positive integers. Find $\left(p+q+r+s\right)\left(a+b+c\right)$.
The probability given is expressed as a fraction with three prime numbers and three positive integers in the numerator and denominator respectively. This means the sum of the prime numbers is 7 and the sum of the positive integers is 15. Thus, the product of these two sums is 105.
[tex]$p^aq^br/\left(s^c\right)=\left(\frac{p^a}{s^c}\right)\left(\frac{q^b}{s^c}\right)\left(\frac{r}{s^c}\right)=\left(p^a\right)\left(q^b\right)\left(r^1\right)$[/tex]
We can see that [tex]$p^a$[/tex] [tex]$q^b$[/tex] [tex]$r^1$[/tex]are all prime factors of the expression, so p , q, and r are all prime numbers.
Also, since a b, and c are all positive integers, we can see that [tex]$a+b+c=15$[/tex].
Finally, we can calculate the sum of the prime numbers by noting that [tex]$p+q+r+s=7$[/tex].
Therefore,[tex]$\left(p+q+r+s\right)\left(a+b+c\right)=105$[/tex].
The given expression is a fraction with prime numbers and positive integers in the numerator and denominator respectively. This means that the sum of the prime numbers in the numerator (p, q, and r) is equal to 7, and the sum of the positive integers (a, b, and c) is equal to 15. By multiplying these two sums together, we can see that the product of these two sums is 105. This is the answer to the question of what the product of the sum of the prime numbers and the sum of the positive integers is.
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A random sample of 100 people that would best estimate the proportion of all registered voters in a district who support improvements to the high school football field should be drawn from registered voters in the district at a ___football gamesupermarketschool fund-raiserhigh school band concert
A random sample of 100 people that would best estimate the proportion of all registered voters in a district who support improvements to the high school football field should be drawn from registered voters at a football game.
Here,
Drawing the sample at a football game is more likely to provide a representative sample of the entire population of registered voters in the district.
This is because people attending football games are likely to include a diverse mix of registered voters from various backgrounds and demographics.
It can provide a broad representation of the population, which is crucial for obtaining accurate estimates of the proportion of voters who support improvements to the high school football field.
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A diagonal brace is to be placed in the wall of a room. The height of the wall is 8 ft. and the wall is 14 ft. long. what is the exact length of the brace to the nearest foot?
The exact length of the brace to the nearest foot is 16.
What is the Pythagorean theorem?The Pythagorean theorem is a principle that can be used to determine the value of the unknown side of a right triangle, given that the values of the other sides are known.
The theorem can be expressed as;
/Hyp/^2 = /Opp/^2 + /Adj/ ^2
Given that the length of the wall of the room is 14 ft, and its height is 8 ft. Let the length of the diagonal brace be represented by t, so that;
t^2 = 8^2 + 14^2
= 64 + 196
= 260
t = (260)^1/2
= 16.1245
t = 16 ft
The exact length of the brace to the nearest foot is 16.
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Caleb made a line graph to represent the number of minutes he spent reading the last 10 days. What is the mean absolute deviation of his data?
NEEED HELPPPPP
Answer:The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n=16 with a mean of
�x=68.1
and a standard deviation of
s=13.2
What is the critical value for this test?
Please show work and explain how to find critical value, I can't figure it out for any question!!
The critical value for this test is determined by the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1.
To calculate the critical value, we first need to standardize the sample mean and standard deviation. We can do this by subtracting the sample mean from the population mean and dividing it by the sample standard deviation. For this example, the standardized sample mean is 68.1-0/13.2 = 5.20.
The critical value is then determined by looking up the z-score in the standard normal distribution table, which is the area under the normal curve to the left of the z-score. For this example, the critical value is 1.96. This means that any value greater than 1.96 is in the rejection region, and any value less than 1.96 is in the non-rejection region.
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Select the correct answer.
Simplify.
1
Multiply 3×6 which gets you 18
Now you have M18 ÷ M18
Divide it, and you'll get 1
Evaluate this expression for the given values of x and y 2x^2 - y x=3 y=8 QUICK FAST PLEASE HURRY
Answer:
-6
Step-by-step explanation:
2 * 3^2 - (8 * 3) = 18 - 24 = -6
5, 12, 8, 12, 11, 8, 5, 5, 7, 12 Refer to the data above. What is the range of the number of letters in the sampled last names? ( Statistical Measures )
The range of the number of letters in the sampled last names is 7.
What is the range of the number of letters in the sampled last names?The range of a set of data is the difference between the largest and smallest values. In this case, the data is a set of numbers representing the number of letters in the sampled last names. To find the range, we need to first find the largest and smallest numbers in the set.
From the data, we can see that:
The largest number is 12
The smallest number is 5
Thus, the range of the number of letters in the sampled last names is:
12 - 5 = 7
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Call me Al ~ A 2009 study conducted by Dr. Douglas and Dr. Rowlinson at Newcastle University aimed to examine the human-animal relationship between dairy farmers and their cows. Douglas and Rowlinson surveyed 516 UK dairy farmers about how they thought human interaction could affect the productivity of dairy cattle. Analysis showed that farmers who called their cows by name produced more liters of milk per cow annually than farmers who did not.Laerte owns a dairy farm near Para de Minas, Brazil and he names all his cows. He wants to conduct a similar study in his home state of Minas Gerais. Minas Gerais is the country’s main milk producing state and accounts for approximately 28% of national milk production.Laerte imagines five sampling scenarios. Identify the type of sample Laerte imagined in each proposed scenario.
A. Simple Random
B. Systematic
C. Stratified
D. Cluster
E. Convenience
? A B C D E 1. Laerte develops a numbered list of all dairy farms in Minas Gerais, chooses a random number from 1 to 5 as a starting point, and includes every 5th farm on the list in his sample.
? A B C D E 2. Laerte knows that the most common dairy farm types in Minas Gerais are extensive grazing, semi-confinement, and full-confinement. He generates a list of farms for each farm type and randomly selects 30 farms from each list.
? A B C D E 3. Laerte visits a cattle auction near his farm and surveys all the dairy farmers he meets.
? A B C D E 4. The state of Minas Gerais is subdivided into 66 microregions. Laerte randomly selects 4 microregions and then surveys all the dairy farms in those 4 microregions.
? A B C D E 5. Laerte develops a numbered list of all dairy farms in Minas Gerais and uses a random number generator to select 90 farms to survey.
Once Laerte has determined which dairy farms to survey, he collects information on the following variables. Identify the type of each variable.
6. ? Numerical Ordinal Nominal How many dairy cows are owned by the dairy farm.
7. ? Numerical Ordinal Nominal Do the owners call the cows by name? (yes/no)
8. ? Numerical Ordinal Nominal Size of the dairy farm (small/mid-size/large/very large)
parameters are Sample = The 5 cows selected by the farmer. and Population = all of the farmer's dairy cows
Statistic = The five measurements collected on cows selected by the farmer.
Data = Variance in daily milk production among the cows in the farmer's sample
Parameter = a quantity equivalent to the volume of milk produced by a randomly selected cow
Population refers to all members belonging to a particular group of interest ; all the farmer's dairy cows
Sample : A small subset of observation selected from the sample; 5 selected cows from the population.
Statistic: Numeric characteristic of the observations derived from the sample
Parameter : Numeric characteristic of observation derived from the population.
Data: gathered figures calculated from either sample or population ; the variance in Daily milk production.
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At which point does the graph have its maximum value?
At point E, the graph is at its maximum value.
What is graph?Graphs display data as a picture or visual image. This information can be referred to as "data." Put data into a picture, and it can appear lean or bulky, long or short. In other words, there are times when we have a tonne of data, necessitating numerous graphs. Sometimes we only need one graph because we have a small amount of data. Graphs, whether large or small, tell a fantastic story about our data that others can view.
You can contrast various data sets using bar graphs. Bars can be thick or thin. They can be incredibly large or incredibly tiny. Like in this bar graph comparing the quantity of apples and oranges, you can also alter their colours to assist in dataset comparison.
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elena is proving the pythagorean theorem. she knows the goal is to prove that in a right triangle. so far she has: in a right triangle the altitude that intersects the hypotenuse decomposes the triangle into 2 smaller right triangles. these triangles are similar to the large triangle by the angle-angle triangle similarity theorem since each smaller triangle shares one angle with the larger triangle and has a right angle. similar triangles have proportional side lengths, so and . i can rewrite those equations to get and . therefore . . .
If the court of the length of the most comprehensive side of a triangle is equivalent to the sum of the squares of the additional two sides, then the triangle is good.
What is meant by Pythagorean theorem?
The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem.The perpendicular, base, and hypotenuse of this triangle are its three named sides.Remember that in every right triangle, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the two legs side (the two sides that meet at a right angle).The unknown side of a right-angled triangle can be located using Pythagoras' theorem. The three traditional Pythagorean means are the harmonic mean, geometric mean, and arithmetic mean (HM).That exists, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR living at the right angle.
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