We will have obtuse-angled triangle if it has an obtuse angle which measures more than 90 degrees but less than 180 degrees
What are interior angles?
An Interior Angle is an angle inside a shape.
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90 degrees.
In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. Since, ∠A is 120 degrees, the sum of ∠B and ∠C will be less than 90° degrees.
In the above triangle, ∠A + ∠B + ∠C = 180° (because of the Angle Sum Property)
Since ∠A = 120°, therefore, ∠B + ∠C= 60°.
Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.
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What are the types of outlier?.
The Three Kinds of Outliers
All outliers fit into one of three well recognized groups in statistics and data science:
1 Global outliers, type 1 (aka Point Anomalies)
2 Contextual outliers, type 2 (aka Conditional Anomalies)
3 Collective outliers, type 3
Global outliers, type 1
In the same way that "global variables" in a computer program can be accessed by any function in the program, a data point is considered to be a global outlier if its value is significantly outside the bounds of the data set in which it is found.
Contextual (Conditional) Outliers, Type 2
Data points that dramatically differ from other data within the same context are known as contextual outliers. When it comes to time-series data, such as records of a certain number across time, the "context" is nearly always temporal.
Collective outliers, type 3
If a subset of data points inside a data set exhibits values that considerably differ from the overall data set, but the values of the individual data points do not exhibit abnormal behavior either globally or contextually, then the subset is said to be anomalous.
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a certain culture of the bacterium streptococcus a initially has 9 bacteria and is observed to double every 1.6 hours. (a) estimate the number of bacteria after 34 hours. (round your answer to the nearest whole number.) bacteria
After 34 hours, there are approximately 29 bacteria(to the nearest hundred) in the culture.
What is meant by multiplication?Combining two or more bacterium streptococcus to create a new number is the mathematical action known as multiplication. It is frequently represented by the letter "x" or an asterisk (*), and is also referred to as the "times" operation. Since multiplication may be regarded of as a shortcut for repeatedly adding a number to itself, it is closely connected to addition. For instance, multiplying two by three is identical to adding two plus two plus two, which equals six. Division and multiplication are connected because dividing one number by another is equivalent to multiplying the first number by the reciprocal of the second number. For example, 3 x 1/2 is equivalent to dividing 3 by 2, which equals 1.5.
How to solve?
N(t) = N0 * 2^(t/tau)
N(34) = 9 * 2^(34/1.6) = 9 * 2^(21.25)
To round this number to the nearest whole number, we can first calculate 2^(21.25) and then multiply it by 9. Since 2^(21.25) is approximately 3.2, the final answer is approximately 29. This means that after 34 hours, there are approximately 29 bacteria in the culture.
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Determine the number that will complete the square to solve each equation after the constant term has been written on the right side. Do not actually solve. 3 w^{2}-w-24=03w 2 −w−24=0
The number that will complete the square to solve equation is 1/36.
What is completing the square?
For some values of h and k, completing the square is an elementary algebraic method for changing a quadratic polynomial of the form
ax^2 + bx + c to the form a^2 + k. In other words, the quadratic expression is completed by inserting a perfect square trinomial.
Consider, the given polynomial
3w^2 - w - 24 = 0
Rewrite the polynomial in the form ax^2 + bx = c
Add 24 on both sides,
3w^2 - w - 24 + 24 = 24
⇒ 3w^2 - w = 24
Divide both sides by 3,
[tex]w^2-\frac{1}{3}w = 8[/tex]
To complete the square x^2 + bx, we add [tex](\frac{b}{2} )^2[/tex]
Here, b = -1/3
So, [tex](\frac{b}{2})^2 = (\frac{-1/3}{2})^2 = (-\frac{1}{6})^2 = \frac{1}{36}[/tex]
Adding to both sides of the equation, we have
[tex]w^2-\frac{1}{3}w+\frac{1}{36} = 8+\frac{1}{36}[/tex]
Hence, the number that will complete the square to solve an equation is 1/36.
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The population of a city has increased by 26% since it was last measured. If the current population is 18900 , what was the previous population?
Answer:
15,000
Step-by-step explanation:
The population of a city has increased by 26% since it was last measured. If the current population is 18,900 , what was the previous population?
increase of 26% means the current population is 126% of the previous.
126% = 1.26
18,900 = 1.26x
divide both sides by 1.26:
18,900/1.26 = 1.26x/1.26
x = 15,000
previous population was 15,000
mother spent Php 134.25 for a box of chocolate php 385.75 for a pair of slippers and php 235.50 for a shirt as her Christmas present to her family the money she had left was 269.50 how much money did she have at first?
Before buying Christmas presents for her family, Mother had Php 1,025 initially.
How to calculate total money before spending?
To calculate the initial amount before spending add the amount spent and left after spending.
According to the given question:
Mother spent 134.25 on chocolate box, 385.75 on pair of slippers and 235.50 for a shirt.
Therefore total money spent = 134.25 + 385.75 + 235.50 = 755.50
Money left after spending = 269.50
So, the total money mother had initially = 755.50 + 269.50 = 1025
The actual amount mother had was Php 1,025
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A card is drawn from an ordinary deck and we are told that it is red. What is the probability that the card is greater than 2 but less than 92
The probability that the card is greater than 2 but less than 9 is 6 / 13.
Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.
P ( E ) = Number of favourable outcomes / Total number of outcomes → 1
In an ordinary deck of cards,
Total number of cards = 52Number of suites = 4 ( Hearts, Clubs, Diamonds and spades )Each suite has 13 cards = Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack,Queen, King
Number of black suites = 13( Clubs ) + 13( Spades ) = 26Number of red suites = 13( Hearts ) + 13( Diamonds ) = 26As per the question,
A card is drawn from an ordinary deck and that is red.
⇒ Total number of red cards in an ordinary deck = 26 cards
∴ Total number of outcomes = 26
The card that is greater than 2 but less than 9,
⇒ Number of cards that are greater than 2 but less than 9 in red suite = 12
∴ Number of favourable outcomes = 12
Substitute the values in 1,
P ( E ) = Number of favourable outcomes / Total number of outcomes
= 12 /26
P ( E ) = 6 / 13
Therefore, 6 / 13 is the probability that the card is drawn in a red suite greater than 2 but less than 9.
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The complete question is
A card is drawn from an ordinary deck and we are told that it is red. What is the probability that the card is greater than 2 but less than 9?
When the scale factor is greater than 1 the size of the image?.
If the scale factor is greater than 1, the image is larger than the preimage
What do dilations entail?Increasing the size of a figure without changing its shape is a process known as dilatation. Dilation can result in a figure growing or shrinking. Preimage is the name for the earliest figure in dilatation. A figure has been magnified Figures are warped from the center of dilatation, which is a fixed point.
What are shrinkage and growth?By enlarging or contracting a figure, the scale factor indicates how much the image will change in size.
1) If the scaling factor is between 0 and 1, the picture is smaller than the preimage. With a scale factor of between 0 and 1, reductions are known as dilations.
2) If the scale factor is more than 1, the picture will be bigger than the preimage. When a dilatation has a scale factor higher than 1, it is said to be an enlargement. Each new point in a dilated figure may be located using the prime symbol, ". The dilated version of point, which stands for "prime," would be point'.
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Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3. since 2 inches are frayed at one end of the ribbon, she will need to start 2 inches in. this is indicated as 2 on the number line. 25.2 in. 29.4 in. 35.1 in. 40.7 in.
If she will need to start 2 inches in then total length of ribbon is 25.2 needs.
In the given question, Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3.
2 inches are frayed at one end of the ribbon, she will need to start 2 inches.
Total length of ribbon is 60-inches.
Ratio of pieces = 2:3
Let the one piece length is 2x and other piece is 3x.
So 2x+3x=60
5x=60
Divide by 5, we get
x = 12
Now the length of one piece = 2*12 = 24
Other piece length = 3*12 = 36
Since, 2 inches are frayed at one end of the ribbon, she will need to start 2 inches.
So
=2* (3/2+3)
=2* 3/5
=1.2 inches
So the total length = 24+1.2 = 25.2
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Answer: A (25.2 in)
Step-by-step explanation:
:3
How do you make a function table?.
These are the following steps you should follow to create a function table:
Function - A function is a mathematical concept that describes the relationship between an input and an output. A function can be expressed in four different ways. They can be communicated in a variety of methods, including spoken language, math, pictures, and function tables. Function table - A visual griddled table with input and output cells arranged in rows and columns is referred to as a function table. When students first learn function tables, they are sometimes referred to as function machines. The input value is subjected to the special rule of the table to produce the result.Rules of function tableThe rules of the function table can be used to comprehend the relationship between the input and the output. The rule of the table must be followed for all inputs and outputs. Function tables are helpful in this application. The rule must work if it is applied to one input/output and then verified with other sets to make sure it holds true.Another question that the rules subtly raises is the relationship between the input and the result. The question varies based on the table variable. What input value would result in the desired outcome when exposed to the known rule?, What outcome will result from using the known rule with the known input?, What mathematical technique—also referred to as a rule—can be used to generate the desired output from a known input?, Writing the input, output, and rule as a single line equation, solving it, and then figuring out the variable is commonly preferred.The third important item to note about the rule governing the relationship between the input and the output is that the mathematical operation will be constrained dependent on the input and output values. If the input is less than the result, the rule will be an operation that raises values, such as addition, multiplication, or exponents. If the input is more than the output, an operation such as subtraction, division, or square roots reduces the values. Example: If a cell contained the number 10 and another contained the number 12, what would be the logical conclusion? In plain English, what could be done to the 10 to get 12? The function's rule is to add two because adding two to ten results in seven. In a function table, there would have been more inputs and outputs than just 10 and 12, but the function would still have been the same. As a result, if the next input cell contained the number 16, the output would be 18 because the rule is add 2, which adds twoBy rule since [tex]X^{2} = Y[/tex] or square of input = output
By output since [tex]\frac{x}{5}[/tex] = output
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What is the equation of the line written in general form? -3x - y 2 = 0 3x - y - 2 = 0 3x y - 2 = 0
The equation of the line is -3x - y + 2 = 0.
Here, we are given a graph of a line as shown in the image below.
From the graph we can see that the line cuts the y axis at -2. This means that when x = 0, y = -2.
Thus, we get one point, that is, (0, -2)
Similarly, the line cuts x axis at 2/3.
Thus, we get another point, that is, (2/3, 0)
Thus, the slope of the line will be-
(0 + 2)/ (2/3 - 0)
= 2*3/2
= 6/2
= 3
The equation of a line is given as y = mx + c, where m is the slope and c is the y intercept.
Here, m = 3 and c = -2
Thus, equation of the line will be-
y = 3(x) - 2
y = 3x - 2
-3x - y + 2 = 0
Thus, the equation of the line is -3x - y + 2 = 0.
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Your question was incomplete. Check for the missing figure below.
Efficiency ratio: deutsche bearings has total sales of $9,745,923, inventories of $2,237,435, cash and equivalents of $755,071, and days' sales outstanding of 49 days. if the firm's management wanted its dso to be 35 days, by how much will the accounts receivable have to change?
The change in the accounts receivable is -$373,816.23 if the firm's management wanted its to be done in 35 days.
Here we have to find the change in the accounts receivable.
The given data:
Sales = $ 9,745,923
inventory = $ 2,237,435
cash = $ 755,071
day's sales outstanding(DSO) = 49 days
Formula to find DSO:
DSO = 365/ accounts receivable turnover
= 365/ ( net sales/ accounts receivable)
= 365 × accounts receivable/ net sales
Account receivables = DSO × net sales / 365
= 49 × 9,745,923 / 365
= $1,308,356.70
Target DSO = 35 days
Net accounts received = DSO × net sales / 365
= 35 × 9,745,923 / 365
= $934,540.56
ΔAccounts received = $1,308,356.79 - $ 934,540.56
= - $373,816.23
Therefore change in accounts received is -$373,816.23.
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Kevin wrote a riddle: a positive number is 5 less than another positive number. 6 times the lesser number minus 3 times the greater number is 3. find the two positive numbers.
The two positive numbers are 6 and 11
How to determine the two positive numbersFrom the question, we understand that:
There are two positive numbers
Represent these numbers with x and y
So, we have the following equations
x = y - 5
6x - 3y = 3
Substitute x = y - 5 in 6x - 3y = 3
6(y - 5) - 3y = 3
Open the brackets
6y - 30 - 3y = 3
Evaluate the like terms
3y = 33
Divide by 3
y = 11
Substitute y = 11 in x = y - 5
x = 11 - 5
So, we have
x = 6
hence, the numbers are 6 and 11
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give a recursive definition of the set of all bit strings that are palindromes. remember to consider both odd- and even-length strings
Palindromes are a string of digits/alphabets that are read the same way as they are from the right as from the left.
We can understand palindromes using the basic example of the number - 1234321. In this number, we can see that if we read the number from the right, it is going to be read as 1-2-3-4-3-2-1. And if we read this number from the left, it is going to be 1-2-3-4-3-2-1. This shows how the sequence of bits in a palindrome is going to be the same from both ends.
In the case of odd-length palindromes like the one above, there is going to be one middle that is going to be alone. In the case of even-length palindromes such as 1111, the numbers all have a pair.
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Ramay want to fence in a rectangular garden uing hi hed a one of the ide of the
rectangle. If Ramay ha 40 feet of fencing, what i the larget area that can be encloed?
What are the dimenion of the rectangle?
The dimensions of the rectangle must be l =b = 10 units.
What is a rectangle?A rectangle is a closed flat shape, having four sides, and all angles equal to 90 degrees. The opposite sides of the rectangle are equal and parallel. diagonals are equal and bisect each other.
What is the perimeter of a rectangle formula?Perimeter of a rectangle, P = 2 ( l + b) units.
where,
“l” is the length of the rectangle
“b” is the breadth of the rectangle
What is the area of the rectangle formula?area of rectangle = l×b square units.
Given:
ramay wants to fence which means the perimeter of a rectangle is 40 feet.
therefore rectangle's perimeter = 40
2(l+b)=40,
l+b=20.
When the rectangle is square, the area is the greatest. When its length equals its width.
As per the question for getting the largest area, l = b= 10,
and the area will be
10×10=100 square units.
therefore, the dimensions of the rectangle must be l =b = 10 units
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The population of a town i 3808000. What i the value of the digit 3 in 3808000?
(a) 3 million (b) 3 hundred thouand
(c) 3 thouand (d) 3 hundred
The value of the digit 3 in 3808000 is 3 million.
What are population digits?
A population is a distinct group of individuals, animals, or objects that can be distinguished from one another for the purposes of data collection and analysis in statistics and other branches of mathematics. Data is typically collected from a sample in order to learn more about a large population.
Here, we have
The population of the town is 3808000.
We have to find the value of the digit 3 in 3808000.
We concluded from the given statement is the value of the digit 3 in 3808000 is 3 million.
Hence, the value of the digit 3 in 3808000 is 3 million.
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if a bacterial culture starts with 8000 bacteria and doubles every 20 minutes, how many minutes will it take the population to reach 33000?
A bacterial culture that starts with 8000 bacteria of population and doubles every 20 minutes will reach 33000 bacteria in 40.887 minutes.
Calculate t in 33,000
33,000 = 8000 (2)^t/20
33,000/8000 = 2^t/20
log(33,000/8000) = (t/20) log2
t = 20 log(33,000/8000) / log 2 = 40.887 minutes.
Hence the time taken to reach 33000 population is 40.877mins.
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suppose that an accounting firm does a study to determine the time needed to complete one person's tax forms. it randomly surveys 175 people. the sample mean is 23.1 hours. there is a known population standard deviation of 6.0 hours. the population distribution is assumed to be normal. note: if you are using a student's t-distribution, you may assume that the underlying population is normally distributed. (in general, you must first prove that assumption, though.)
(i) The lower end of the confidence interval is
22.8 - 0.80 = 22
and, The upper end of the confidence interval is
22.8 + 0.80 = 23.6
ii) Error bound is the same as the margin of error
Error bound = 0.8
This is incomplete question:
Complete question is :
Suppose that an accounting firm does a study to determine the time needed to complete one person's tax forms. it randomly surveys 175 people. the sample mean is 23.1 hours. there is a known population standard deviation of 6.0 hours. the population distribution is assumed to be normal. note: if you are using a student's t-distribution, you may assume that the underlying population is normally distributed. (in general, you must first prove that assumption, though.)
Construct a 90% confidence interval for the population mean time to complete the tax forms.
i. State the confidence interval. (Round your answers to two decimal places.)
ii. Calculate the error bound. (Round your answer to two decimal places.
Now, According to the question:
Considering the central limit theorem, the distribution is normal since the number of samples is large. Also, the population standard
deviation is known. We would determine the z score.
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.90 = 0.1
α/2 = 0.1/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 90% is 1.645
Confidence interval is written in the form,
(Sample mean - margin of error, sample mean + margin of error)
The sample mean, x is the point estimate for the population mean.
Confidence interval = mean ± z × σ/√n
Where
σ = population standard Deviation
Confidence interval = x ± z × σ/√n
x = 22.8 hours
σ = 6.4 hours
n = 175
i) Confidence interval = 22.8 ± 1.645 × 6.4/√175
= 22.8 ± 0.80
The lower end of the confidence interval is
22.8 - 0.80 = 22
The upper end of the confidence interval is
22.8 + 0.80 = 23.6
ii) Error bound is the same as the margin of error
Error bound = 0.8
Hence,(i) The lower end of the confidence interval is
22.8 - 0.80 = 22
and, The upper end of the confidence interval is
22.8 + 0.80 = 23.6
ii) Error bound is the same as the margin of error
Error bound = 0.8
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write an equivalent expression for -2x + 7 1/5
Answer: -2x + 7.20
Step-by-step explanation: This equation is in simplified form, given the fraction is already a mixed number. Since 7 1/5 is a mixed number, we can find the equivalent expression by identifying 1/5 of 100.
1/5 × 100 = 100/5 ⇒ 20
Finally, we substitute 20 in for 1/5 to find the equivalent expression:
-2x + 7 1/5 ⇒ -2x + 7.20
Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of r using the formula n = C
Calculate the lower bound and upper bound for Helen's value of r.
Give your answers correct to 3 decimal places.
The lower bound and upper bound for Helen's value would be; 3.165, and 3.065.
What is circumference?The circumference is the perimeter of the circle.
Given that the circumference of circle C, at 405 mm to three significant numbers.
Helen correctly estimates the diameter of circle, d, to be 130 mm to two significant numbers.
She wants to find the value of Pi using the formula π=C/D
We have, the circumference of the circle, C = 405 mm
The diameter of the circle, d = 130 mm
π=C/D
π= 405 mm / 130 mm
= 405 / 130
π= 3.115 measured to the nearest 0.1.
The degree of accuracy is nearest 0.1.
Then;
0.1/2 = 0.05
Therefore, Upper bound = 3.115 + 0.05 = 3.165
Lower bound = 3.115 - 0.05 = 3.065
Therefore, the lower bound and upper bound for Helen's value would be; 3.165, and 3.065.
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A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will like even more than the original formula. To determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. Each customer tastes both formula A and formula B in a randomly assigned order and indicates which one they prefer more. Which of the following best describes this study?
This study is not well designed because formulas A and B are not compared with the original formula.
This study is not well designed because formulas A and B are not compared with the original formula.
Given:
A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will like even more than the original formula. To determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. Each customer tastes both formula A and formula B in a randomly assigned order and indicates which one they prefer more.
sample customers = 50
But here there is not given a relation or comparing between A and B so we cannot predict which one is prefer more.
Therefore This study is not well designed because formulas A and B are not compared with the original formula.
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T/F there was a spike of competitive authoritarian regimes in the years immediately following world war 2, but the last decade has seen a sharp decline in competitive authoritarian regimes.
It is true that the last decade has seen a sharp decline in competing authoritarian regimes.
Competing authoritarian – dictators submit to meaningful multiparty elections but engage in serious democratic abuses – proliferated in the post-Cold War era. Africa, Asia, Latin America, post-communism Based on an in-depth study of 35 cases in Eurasia, this book examines the fate of competing authoritarian regimes from 1990 to 2008. , in places such as Eastern Europe and the United States, the external costs of abuses have led incumbents to relinquish power rather than crack down, leading to democratization. political pressure has been weaker and the country has democratized less frequently.
Competitive authoritarianism is a type of hybrid government, or political regime that combines elements of democracy and authoritarianism. Highly competitive dictatorships regularly hold intense multi-party elections. However, the “playing field” is not the same. Media control, abuse of state resources, coercion and/or limited fraud give incumbents an unfair advantage over the opposition. These governments are not democratic because elections are not free and fair. But they aren't entirely authoritarian either. Unfair, but not completely pointless. In competitive authoritarian regimes, there is real competition and some uncertainty about the outcome of elections.
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If x is the interval (pi/2,pi) and y is in the interval (pi,3pi/2) and the sin x= 3/4 and cot y=5/6, evaluate each of the following.
a) sin (x+y) b) cos(x-y) c) tan(x-y)
The given trigonometric identities can be evaluated as (a) sin(x + y) = (-15 + 6√7)/4√61, (b) cos(x - y) =(5√7 - 18)/4√61 and (c) tan(x - y) = (-15 - 6√7)/(5√7 - 18).
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
Given that,
The value sin(x) = 3/ 4 for π/2 < x < π.
And, cot(y) = 5/6 for π < y < 3π/2.
Since x is given in the second quadrant cos(x) is negative such that,
cos(x) = -√ (1 - sin²(x) )
= - √(1 - (3/4)²
= -√7/4
Since, y is in third quadrant sin(y) and cos(y) is negative.
sin(y) = -1/√(1 + cot²(y))
= -1/√(1 + (5/6)²)
= -6/√61
Cos(y) = -√ (1 - sin²(y))
= - √(1 - (-6/√61)²
= -5/√61
tan(x) = sin(x)/cos(x)
= -3/√7
tan(y) = sin(y)/cos(y)
= 6/5
Now, the following trigonometric identities can be evaluated as follows,
(a)
sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
Substitute the respective values to get,
sin(x + y) = 3/4 × -5/√61 + -√7/4 × -6/√61
= (-15 + 6√7)/4√61
(b) cos(x - y) = cos(x)cos(y) + sin(x)sin(y)
= -√7/4 × -5/√61 + 3/4 × -6/√61
= (5√7 - 18)/4√61
(c) tan(x - y) = (tan(x) - tan(y))/(1 +tan(x)tan(y))
= (-3/√7- 6/5)/(1 +-3/√7 × 6/5)
= (-15 - 6√7)/(5√7 - 18)
Hence, the required values are sin(x + y) = (-15 + 6√7)/4√61, cos(x - y) =(5√7 - 18)/4√61 and tan(x - y) = (-15 - 6√7)/(5√7 - 18).
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Twenty out of 150 call received by each cutomer ervice repreentative from Company X are complaint. What i the percentage of complaint from the total call received by each cutomer ervice repreentative?
A customer service representative receives about 20% calls expressed as percentage which are complaints.
Total calls received = 150
Total number of complaint calls = 30
percentage of complaint calls = 30 /150 × 100% = 20%
Hence the total number of complaint calls is 20%.
Gains and losses in percentage terms are derived by computing the difference between two numbers and comparing that difference to the initial value.
One can calculate how much the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.
By dividing the absolute difference between two numbers by their average, one can determine the percentage difference between two values. You will receive the answer in % rather than decimal multiplied by 100.
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A test of writing ability is given to a random sample of students before and after they completed a formal writing course. The results are given below. Construct a 99% confidence interval for the mean difference between the before and after scores. Round the limits to the nearest tenth. Before 70 80 92 99 93 97 76 63 68 71 74 After 69 79 90 96 91 95 75 64 62 64 76
-0.5 < µd< 4.5 are the limits of the given data.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
The results are given below. Construct a 99% confidence interval for the mean difference between the before and after scores
Before 70 80 92 99 93 97 76 63 68 71 74
After 69 79 90 96 91 95 75 64 62 64 76
Mean SD SEM N
80.27 12.76 3.85 11
78.27 12.92 3.89 11
df = 10
standard error of difference = 0.798
The mean of Before minus After equals 2.00
Given a=0.01, |t(0.005, df=10)|=3.17 (check student t table)
So 99% confidence interval is 2±ts
2±3.17(0.798)
-0.5 < µd< 4.5
Hence, -0.5 < µd< 4.5 are the limits of the given data.
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How is a treaty defined?.
A treaty is defined as a peaceful accord closed between States written down and represented by worldwide regulation, whether typified in a solitary instrument or in at least two related instruments and whatever its specific assignment.
Treaty is an exceptionally misconstrued term, so we really want a meaning of deal that is exact and definitive. The definition that makes reference is the one tracked down in the Vienna Show on the Law of Deals of 1969.
Presently, there is likewise a Vienna Show of 1986 which manages understanding among States and worldwide associations, however for the essential definition manages arrangement between States. The necessities are:
the understanding should be in writing the arrangement should be represented by global regulation, and that implies that it makes regulations and commitments under worldwide lawthe name (assignment) of the understanding isn't significant (an "Trade of Notes" likely could be a treaty) the structure might be that of at least one related reports, for instance a trade of letters (two records) can frame a solitary deal.To know more about treaty, visit here:
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the birth weight of newborns, measured in grams, is an example of . a. quantitative data b. either categorical or quantitative data c. neither categorical nor quantitative data d. categorical data
The birth weight of newborns, measured in grams, is an example of quantitative data. So the option a is correct.
In the given question,
The birth weight of newborns, measured in grams, is an example of .
a. quantitative data
b. either categorical or quantitative data
c. neither categorical nor quantitative data
d. categorical data
The quantitative data means data that is explain in the subjective ways. It is also explain quantity, amount and range.
Categorical data is a body of knowledge that is organised into categories. For instance, the data obtained when an organisation or agency tries to collect the biodata of its employees is referred to as categorical data.
The birth weight of newborns measured in grams, is an example of quantitative data.
Birth weight is quantitative because it can take on multiple numerical values. So the option a is correct.
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What is the median of the following numbers? 8, 10, 8, 5, 4, 7, 5, 10, 88,10,8,5,4,7,5,10,8.
The median of the following numbers
8, 10, 8, 5, 4, 7, 5, 10, 88, 10, 8, 5, 4, 7, 5, 10, 8 is 8.
Given numbers is
8, 10, 8, 5, 4, 7, 5, 10, 88,10, 8, 5, 4, 7, 5, 10, 8
First you have to organize them in least to greatest order,
4, 5, 5, 7, 8, 8, 8, 10, 10
Second now take these numbers and climate one from each side until you have 1 or 2 numbers left.
that is the
4 5 5 7 8 8 8 10 10
x x x x ! x x x x
So, the middle number will be the median of the given numbers.
Hence the answer is the median of the following numbers
8, 10, 8, 5, 4, 7, 5, 10, 88, 10, 8, 5, 4, 7, 5, 10, 8 is 8.
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How many electrons does it take to reduce oxygen to water?.
Four electrons are required for the reduction of one molecule of oxygen to water in the mitochondria
Reduction means that a reaction in which electrons are added to a compound or molecule; the compound or molecule that gains electrons is said to be reduced
Water has 2 hydrogen and each hydrogen needs only one electron. Hence, four electrons along with four hydrogen atoms are required to reduce one molecule of oxygen (O₂) to two molecules of water (H₂0) in the mitochondria
Therefore, four electrons along with four hydrogen atoms are required to reduce one molecule of oxygen (O₂) to two molecules of water (H₂0) in the mitochondria
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a square with a side length of 2 units is drawn on the coordinate plane with a vertex at the origin. Which shows a dilation of the square by a scale factor of 2
the dilation factor will change the square of the side 2 units.
What is square?
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
A square with a side length of 2 units is drawn on the coordinate plane with a vertex at the origin.
If a scale factor of 2 is applied to the given square, with point D serving as the centre of dilation
A point is enlarged by a scale factor k according to the following rule:
(x, y) → (kx, ky)
According to this rule, k =2
A(-2, 0) → A'(-4, 0)
B(-2, 2) → B'(-4, 4)
C(0, 2) → C'(0, 4)
D(0, 0) → D'(0, 0)
Hence the dilation factor will change the square of the side 2 units.
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When exposed to heat, the reaction time of a certain chemical always occurs after 12 minutes, but before 16 minutes. Reaction times for this chemical can be modeled by a uniform distribution. a. Find the probability that the reaction will happen after 14 minutes. Shade the area of the graph and calculate the numerical value of the probability. b. Find the probability that the reaction will occur between 14 minutes and 15 minutes. Shade the area of the graph and calculate the numerical value of the probability.
The numerical value of the probability is occur after 14 minutes is 0.75.
The probability that the reaction will occur after 14 minutes is 0.75 when a specific chemical's reaction time when exposed to heat always happens after 12 minutes but before 16 minutes.
Given that,
A specific chemical's reaction time when exposed to heat always happens after 12 minutes but before 16 minutes. A uniform distribution can be used to model the reaction times for this substance.
We have to calculate the probability that the reaction will occur after 14 minutes. Calculate the probability's numerical value and shade that area of the graph.
We know that,
In the uniform distribution,
The probability is given by the Area of the Rectangle.
Area = Base x Height.
Height = 1 / (16 - 12) = 1 / 4 = 0.25
Base = 17 - 14 = 3
We need to find the probability (X >14).
The required probability = 3 × 0.25 = 0.75
Therefore, The probability that the reaction will occur after 14 minutes is 0.75 when a specific chemical's reaction time when exposed to heat always happens after 12 minutes but before 16 minutes.
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