The number of inches made by a segment of 2.7 centimeters long, where 1 inch is 2.54 centimeters is 236 inches.
What is the symbol for an inch?Please also notice that the sign for inches is the double prime ("), not the double quotation mark, the straight quotation mark, or even (gasp!) the two consecutive single quotation marks (").
What exactly is 1 inch?The inch was defined as "three dry, spherical grains of barley set end to end lengthwise" during the early 14th century under King Edward II. The lengths of 12 poppy seeds together have also been used at various periods to define one inch. Since 1959, 2.54 cm has been the official definition of an inch.
From the above definition, we get that
The number of inches made by a segment of 2.7 centimeters long, where 1 inch is 2.54 centimeters is 236 inches.
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If you wanted information about a population, it could be impossible to ask everyone. One way to avoid asking everyone is to take a sample. There are many ways to take a sample, including a random sample.
Why might it be important to small subgroups of populations that you use a random sample?
The subgroup can be those who differ from the majority because of physical, ethnic, religious, or other differences. Include an example of a real-life situation that involves a subgroup that supports your response.
Read and reply to another student's post. Your reply should include questions and comments that add to the discussion. For example, you might point out additional reasons that subgroups benefit from random sampling, or how other subgroups might benefit in similar ways to those discussed in the post.
straightforward random sampling With simple random sampling (SRS), each sampling unit of a population has an equal chance of being included in the sample.
What is simple random sampling?In other words, by looking at a smaller sample, you can draw conclusions about a larger population. To find trends in a variety of fields, including business and finance, statistical analysis is frequently utilized. Findings from statistical research can be used by people to improve the decisions they make with regard to their finances, enterprises, and investments.Simple random samples are a common place for researchers to start. As a result, they are able to statistically analyze a sample of people drawn from a larger population or group to get a rough idea of how the entire group will respond.Both pros and cons apply to this research methodology. In this article, we present a brief description of simple random sampling and highlight its benefits and drawbacks.A simple random sample is one of the techniques researchers employ to select a sample from a bigger population.If there is an equal likelihood that any subject will be selected from a population, this strategy will work.In order to draw general conclusions about a group, researchers choose basic random sampling.The simplicity and impartiality of it are two major benefits.Time, money, and the fact that bias may still exist are some of the drawbacks. Another is the difficulty of obtaining a list of a wider population.To Learn more About simple random sampling refer to:
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100 passengers board an airplane with exactly 100 seats. everyone has a ticket with an assigned seat number. however, the first passenger has lost their ticket and takes a random seat. every subsequent passenger attempts to choose their own seat, but takes a random seat if theirs is taken. suppose you are the very last passenger to board the plane. what is the probability that you will get your assigned seat?
Thus , probability of very last passenger getting seat comes out to be
P = 0.5 .
What is the process of probability?
Mathematics' field of probability deals with numerical representations of the possibility that an event will take place or that a statement is true. An event's probability is a number between 0 and 1, with 1 generally denoting certainty and 0 generally denoting impossibility.
Here,
If everyone chose at random, you would only have a 1/100 chance of receiving your own seat on a plane with 100 seats. However, in the context of this riddle, each participant does not make a random selection; rather, they only do so if all available seats have been occupied.
This indicates that half of the scenarios will resolve themselves (i.e., someone takes the mystery ticket holder's assigned seat allowing every subsequent passenger to take their assigned seat), while the other half will not resolve themselves and you will be seated in the incorrect location, making the probability of any plane occupancy equal to half.
Thus , probability of very last passenger getting seat comes out to be P = 0.5 .
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What is the amount of compound interest on #640.00 borrowed for 4years at 3%.
The amount of compound interest on #640.00 borrowed for 4years at 3% is #163, 840
How to determine the valueThe formula for determining compound interest is given as;
Compound interest = P ( 1 + r/n)^nt
Where;
P is the principal amount = #640. 00r is the rate e= 3%n is the number of times the amount appliedt is the length of timeNow, substitute the values
Compound interest = 640( 1 + 3/1)^(4×1)
expand the bracket
Compound interest = 640( 1 + 3)^4
Compound interest = 640(4)^4
find the exponential value
Compound interest = 640(256)
Multiply the value
Compound interest = #163, 840
Hence, the value is #163, 840
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Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5).
Answer:
Below
Step-by-step explanation:
Find the slope between the two given points
(y1-y2) / (x1-x2) <==== does not matter which you assign as point 1 or 2
(-3-5) / (0-4) = -8/-4 = 2
now set up equation using point-slope form (use either point)
y-5 = 2 (x-4) re-arrange
y -5 = 2x - 8
2x - y = 3
which dimconstraint option allows you to create a dimensional constraint that has extension lines perpendicular to an angled surface?
Aligned Dim constraint option allows you to create a dimensional constraint that has extension lines perpendicular to an angled surface.
What are constraints?In CAD software, a constraint is a restriction or limitation placed on geometric properties by a designer or engineer: An entity in a design model that keeps its structure when the model is altered is referred to as type 203. In addition to relative length and angle, these properties may also include size, shift, and displacement.
The term "plural form constraints" refers to the delineations of geometrical characteristics between two or more entities or solid modelling bodies; these delimiters are definitive for properties of hypothetical physical position and motion, or displacement in parametric design. However, a CAD programme vendor may use different terminology than another.
CAD software for solid modelling, computer-aided architectural design (including building information modelling), computer-aided engineering, assembly modelling, and other CAD subfields frequently uses constraints.
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Write an equation perpendicular to 2x + y = −5 and passing through (1,1)
i need helpplsssssssssssssssssssssssssssssss−28+15=
Answer:
-13???
Step-by-step explanation:
Answer: −28+15=-13
Step-by-step explanation: -28 + 15 = -13
Jill buys a necklace for $24.75 plus an 8% tax. Jane buys a bracelet for $15 plus an 8% tax. Enter the sum, in dollars, that Jill and Jane paid, including tax.
Answer:
Jill paid 26.73$, and Jane paid 16.20$ with tax in total 42.93$
Step-by-step explanation:
[tex]24.75$ * 0.08$= 1.98$\\15$ * 0.08$= 1.2$\\24.75$ + 1.98$=26.73$\\15$ + 1.20$= 16.20$\\26.73$ + 16.2$= 42.93$[/tex]
PLEASE HELP‼️‼️‼️ TRIGONOMETRIC FUNCTIONS‼️‼️‼️
Sides of the given Right angle Triangle are 7.5,12.5,10.
What are basic theorems of Right angle Triangle?The Pythagoras Theorem defines the relationship between a triangle's perpendicular, hypotenuse, and base. The right-angled triangle theorem is another name for this. The Pythagoras theorem states that a triangle is said to be right-angled if the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be said in the following way:
If Angle equals 90° then Hypotenuse = Perpendicular∧2+ Base∧2.
The base is the side that the right angle is connected to, the neighboring side of the right angle is connected to the hypotenuse by the perpendicular, and the side that the angle is opposite to is known as the hypotenuse. The legs of the hypotenuse are another name for the base.
Calculation:Given
Tan(B) = [tex]\frac{3}{4}[/tex]=[tex]\frac{NE}{BE}[/tex]
⇒BE=10;
NB^2=NE^2+BE^2;
⇒NB^2=156.25
⇒NB=12.5
Sides of the given Right angle Triangle are 7.5,12.5,10.
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124.6135grams to the nearest kilogram
Answer: The correct answer is 0.1246135 kilograms
Step-by-step explanation:
1,000 grams = 1 kilogram
Therefore 124.6135 grams / 1000 = 0.1246135 kilograms
Answer:
124.6135 grams to the nearest kilogram would be none if you want to round how you are supposed to, or one if round to the next number up.
Step-by-step explanation:
What is 124.6135 grams compared to kilograms? Well, it's simple. A single kilogram has kilo in it. Kilo is a prefix meaning thousand, so therefor, a kilo gram is a thousand grams. since you have 124.6135 grams if you divide that by a thousand, you get 0.1246135. And using the rounding rule five or more, raise the score, four or less, let it rest; 1 is less than four so it would be zero.
1. A plant grows at a constant rate. The table shows the heights
of the plant for different numbers of days of growth.
Which of the following pairs of days and heights could also be
included in the table? Select all that apply.
Day 4: 8 in.
B Day 9: 16 in.
Day 11: 22 in.
Day 15: 30 in.
(E) Day 21: 44 in.
actidently
decendent
The pairs of days and heights that could also be included in the table is given as follows:
Day 4: 18 inches.Day 9: 28 inches.Day 11: 32 inches.Day 15: 40 inches.Day 21: 52 inches.How to define the linear function?The slope-intercept linear function that defines the plant's height after x days is given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope, representing the daily rate of change of the height.b is the intercept, representing the initial height of the tree.Then, considering the table given at the end of the answer, the equation that gives the height after x days is of:
y = 2x + 10.
The possible pairs are given at the beginning of the answer, for example, on day 9, the expected height is of:
y = 2(9) + 10 = 28 in.
Missing InformationThe table is given by the image shown at the end of the answer.
The problem is incomplete, hence the pairs were calculated considering the table at the end of the answer. For a different table, you should follow the same procedure, identifying the equation and then testing the pairs.
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15. A grocer has 100 cans that he plans to stack in a four-sided pyramid that is 6 layers high. Does he have enough cans to create the pyramid? The explicit formula for a pyramidal sequence is P(n) = n(n+1)(2n+1) 6
He has enough cans to create the pyramid i.e. 91 cans.
What is a pyramid?
A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
Each layer of the pyramid contains the square of the layer number.
Let's find out :
[tex]1^{2}[/tex] = 1, [tex]2^{2}[/tex] = 4, [tex]3^{2}[/tex] = 9, [tex]4^{2}[/tex] = 16, [tex]5^{2}[/tex] = 25, [tex]6^{2}[/tex] = 36
So, the total number of cans required = 1+4+9+16+25+36
= 91 cans
Hence, he has enough cans to create the pyramid.
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consider the data set below. what are the factors? what is the response variable? how many levels of factor a are there and how many levels of factor b are there? what is the value of n (replicates per combination or treatment)?
Data set: Factor A: Brand of Car Factor B: Type of Fuel Response Variable: Fuel Efficiency Levels of Factor A: 4 (Toyota, Honda, Ford, Chevrolet) Levels of Factor B: 2 (Gasoline, Diesel) Value of n: 3 (3 replicates per combination or treatment)
The data set has two factors: Brand of Car and Type of Fuel. The response variable is Fuel Efficiency, which is the value that is being measured in response to the two factors. There are four levels of Factor A (Toyota, Honda, Ford, Chevrolet) and two levels of Factor B (Gasoline, Diesel). Finally, the value of n is 3, meaning there are 3 replicates or treatments per combination of the two factors.
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in a certain game of chance you buy a ticket for 3 dollars . if you win you receive a check for 100 dollars , if you lose you don't get any money . what is the expected profit of this game (in dollars) if the probability of winning is 0.01 ?
The probability of winning is 0.01 is -2 is the expected profit of this game.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. Probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.Expected profit of the game =expected value received from this game- cost to play the game
=100*0.01-3
= -2
Hence, the probability of winning is 0.01 is -2 is the expected profit of this game.
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danovan and three freinds go to a fair. They each spend 1/2 of their money on rides. They each spend $3 on food. At the end of the day, Danovan and his freinds have a total of $8 remaining. How much money did each person bring to the fair
Answer:
They each brought $22 to the fair
Step-by-step explanation:
8+3=11
11*2=22
Answer=22
If you apply the following
translation:
(x, y) → (x + 3, y − 2)
to the point (0, 1), what are the
resulting coordinates?
Answer:
(3,-1)
Step-by-step explanation:
you have a graph and poin is (0,1) you have 0+3 to make 2 on the horizontil line and they y = -2 so you go down 2 to make (3,-1)
Answer:
(3, -1)
Step-by-step explanation:
Graphical TranslationGraphical Translation is about shifting the coordinates by a certain value towards the left/down (x and y coordinates respectively) for negative signs and towards the right/up (x and y coordinates respectively) for positive signs.
Eg. x is shifted by + 3 units, y is shifted by - 1 unit from the point (9 , 3) , the resulting coordinate will be:
(9 + 3, 3 - 1) = (12, 2)
SolutionGiven from the question:
x is shifted by + 3 units and y is shifted by - 2 units,
Therefore, the resulting coordinates will be:
(0 + 3, 1 - 2) = (3, -1).
1- For what values of x will the expression log x be undefined?
2- put the following in order from smallest to largest : log^2 16, log 100, log^3 30, log^5 40, log ^20 200
3- if you invested money into an account that pays 9% a compounded weekly, how many years would it take for your deposit to double?
9- The function S(d)= 86log d +112 relates the speed of wind, S, in miles per hour, near the centre of a tornado to the distance the tornado travels, d, in miles. Estimate the rate at which the speed of the wind at the centre of the tornado is changing the moment it has traveled its 50th mile.
When x0 x 0, log x is NOT defined (undefined). As a result, when x is in [(−∞,0]), log x is undefined.
1) We are aware that only when x is positive is a logarithmic function, log x, defined. i.e., x>0 . Therefore, when x0 x 0, log x is NOT defined (undefined). As a result, when x is in [(−∞,0]), log x is undefined.
2) Order from smallest to largest:
[tex]log^{200}_{20} < log 100 < log^{5}_{40} < log^{3}_{60} < log^{2}_{16}[/tex]
3)
[tex]\(2A=A(1+\frac{0.09}{52})^{n}\\\\ 2=(1+\frac{0.09}{52})^{n}\\\\ log2=log(1+\frac{0.09}{52})^{n}\\\\ log2=nlog(1+\frac{0.09}{52})\\\\ n=log2\div log(1+\frac{0.09}{52})\\\)[/tex]
log(2)/log(1+0.09/52 = 400.831511360387616 weeks
400.831511360387616/52 = 7.708298295392069538
7.7 years
Hence, It take 7.7 years for deposit to double.
4)
a)
[tex]S= 86 \ log d+112\\\\S= 86 log 50 +112\\\\S = 86*1.7+112\\\\S= 258.2[/tex]
S = 258.2 mph
b)
S = 258.2 mph ; find d
258 =86 log10 (d) + 112
146 = 86 log10 (d)
1.7 = log10 (d)
d = 50.118
Change from Log Form to Exponential Form
50.118 miles = d Rounded is 181 miles
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Find an equivalent ratio in simplest terms: 90:20
Answer: 9/2
Step-by-step explanation: Since the simplest form of the fraction 90/20 is 9/2, the simplest form of the ratio 90:20 is also 9:2. Please give brainliest.
Ander add 8. 84 and 62. 5, but he make an error in hi work. Decribe hi mitake and how the correct addition
The correct addition of two decimal points is 71.34
What is Decimal Addition ?Finding the total of two or more decimal numbers is known as adding decimals. Even though adding decimals is comparable to adding whole numbers regularly, there are specific rules that must be followed.
According to the given information
We are given that
The given decimal digits are 8.84 and 62.5
The way Ander added the decimal values
8.84
+62.5
150.9
The mistake in his addition is that he did not put decimal below decimal according to the rule
So,
The correct Addition is
8.84 + 62.5 = 71.34
The correct addition of two decimal points is 71.34
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As a young girl, Jennifer enjoyed watching her father make things in his woodworking shop.
Now that she's grown up, Jennifer builds wooden furniture for a living. Her most popular
product is a cedar porch swing.
There is a proportional relationship between the time (in days) Jennifer spends making porch
swings, x, and the number of swings she builds, y.
x (days) y (swings)5 1 10 2 15 3 20 4
What is the constant of proportionality? Write your answer as a whole number or decimal.
swings per day
Submit
Work it out
The constant of proportionality is 5 for the relation between x and y.
What is proportional relationship?
Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of the constant.
Given table is
x(days) 5 10 15 20
y(swings) 1 2 3 4
Since y is increasing with increase of days(x).
Thus the relation between y and x is in direct proportional.
Assume the relation be x ∝ y
x = ky, where k is constant proportionality.
Putting x = 5 and y = 1:
5 = k × 1
k = 5
Putting x = 10 and y = 2:
10 = k × 2
k = 5
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11.
As of 1995, the human population was expected to double within 50 years. If we calculated r for the human population, we would get 1.39.
True
False
The answer is false just took the exam.
As of 1995, the human population was expected to double within 50 years. If we calculated r for the human population, we would get 1.39. statement is False.
To determine whether the statement is true or false, we need to calculate the doubling time (DT) based on the given growth rate (r) and see if it aligns with the expected doubling time of 50 years.
The formula to calculate the doubling time (DT) for a population with a constant growth rate (r) is:
DT = ln(2) / r
where ln is the natural logarithm (base e).
If the expected doubling time is 50 years, then:
DT = 50 years.
Now, we can calculate the value of r:
r = ln(2) / DT
Plugging in the values:
r = ln(2) / 50 ≈ 0.01386
Comparing the calculated value of r (approximately 0.01386) with the given value of 1.39, we can see that they are not the same.
Therefore, the statement is False. The calculated value of r (0.01386) does not match the given value of 1.39, and it would not result in the human population doubling within 50 years. In reality, with a growth rate of 1.39, the population would grow at an unsustainable rate, leading to an even faster increase in population over time.
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suppose that a and b are independent events with p(a) 5 .5 and p(b) 5 .6. can a and b be mutually exclusive events?
Yes, Since a and b are independent event then therefore, a and b are mutually exclusive events.
P(a) +P(b) = 0.5+0.5
therefore, P(a ∪b) = 1.0
Mutually exclusive events are events that do not occur at the same time. For example, when you toss a coin, the result is either heads or tails, but you cannot get both results. Such events are also called disjoint events because they do not occur at the same time. If A and B are mutually exclusive events, their probabilities are given by P(A or B) or P(A U B).
According to the question:
P(a) = 0.5 and P(b)=0.5
therefore,
P(a) +P(b) = P(a ∪ b)
⇒ 0.5 +0.5 = 1.0
Therefor a and b are mutually exclusive events.
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Solve for the missing variables, I know they add up to 360 but where do i start?
Answer:
Step-by-step explanation:
a°=180°-36°=144° b°=180°-113°=67°
a°=144° and b°=67°
144+67=211
36+113=149
149+211=360
In a simple linear regression analysis, the correlation coefficient (r) and the slope (m) _____ have the same sign.
In a simple linear regression analysis, the correlation coefficient (r) and the slope (m) Always have the same sign.
What is linear regression?
Predictive analysis and modelling frequently use linear regression. It can be used, for instance, to measure the proportional effects of diet, age, and gender (the predictor variables) on height (the outcome variable).
A correlation coefficient is a metric that expresses a correlation, or a statistical relationship between two variables, in numerical terms.
Two columns of a given data set of observations, also known as a sample, or two parts of a multivariate random variable with a known distribution may serve as the variables.
Hence, in a simple linear regression analysis, the correlation coefficient (r) and the slope (m) Always have the same sign.
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6 ÷ 9473 please right now
Answer: 1578
Step-by-step explanation:
The answer is 1578
Answer:
1578.8333
Step-by-step explanation:
what is the value of - 1.4x2 - 6.7
Answer:
Step-by-step explanation: Are you talking about negative numbers? If so, the answer is -9.5
If you aren't talking about negative numbers, then your answer is -3.9
Hope this helps.
139 + = 0
Question 3 options:
A: -139
B: 139
C: 39
D: 140
Answer:
A: -139
Step-by-step explanation:
139 + (-139) = 0
Answer: -139
Answer:
It would be A. -139
Step-by-step explanation:
139 + -139 is the same thing as 139 - 139
A positive plus a negative is saying a positive minus a positive. so it is A
The reciprocal of 1 3/13
(Type an integer or a simplified fraction.)
IS
Answer:
[tex]\frac{13}{16}[/tex]
Step-by-step explanation:
1 [tex]\frac{3}{13}[/tex] is the same as [tex]\frac{13}{13}[/tex] + [tex]\frac{3}{13}[/tex] = [tex]\frac{16}{13}[/tex]
The reciprocal is just turning the fraction upside down.
Can you solve for 3 variables with 3 equations?
Yes, three equations are needed to find the values of three variables. Then only it will have a unique solution. The solution of three variable equation is also known as the ordered triple.
There must be 3 equations, If there are 3 variables.
Lets consider A,B,C as our equations and x, y, and z as the variables.
We will now follow these following steps:
1) By using C, first write z in terms of x and y. Then, Replace z with its equivalent in B.
2) Then write y in terms of x.
3) In A, replace y with its equivalent and replace z with its equivalent then solve A for x. Now you should know the value of x. You should have written y in terms of x so plug x and you will find y.
4)Finally, you should have written z in terms of x and y so you can find the value of z.
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Find all the zeros of the given function. State the multiplicity (If larger than 1)
#1. g(x)=2x^4 + 15x^3 - 17x^2 - 159x + 63
#2. h(x)=x^4 + 3x^3 + 8x^2 + 28x + 32
Answer:
#1. The zeros of the function g(x) are −3/2, 1, and 3 (all with multiplicity 1).
#2. The zeros of the function h(x) are −1 and −2 (both with multiplicity 2).