Answer:
\( \frac{satisfied \: peaple}{total \: peaple} \times 100\%\)
\( \frac{260}{1300} \times 100\% \\ = 19.23076923\%\)
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(4x+2)=(5x-25)
4x-5x=-25-2
-x=-27
x-27
x = 27
4x + 2 = 5x - 25
First, you need to move the 2 to the other side of the equation to make it: 4x = 5x -25 - 2. Now evaluate what -25 - 2 is then you'll have: 4x= 5x + 27. Now move 5 to the other side of the equation: 5x-4x= 27 = x = 27
so, our answer is x = 27
Find the domain, range, y intercept(s), intervals where the graph is positive, interval(s) where the graph is decreasing, and interval(s) where the graph is increasing
Step-by-step explanation:
It is worked out step by step.
NEED HELP ASAP - Algebra 2
Every complex number has the form a+bi with a and b as real numbers. Is it possible to create a complex number in which b=0? If so, create two examples to show your hypothesis is true. If not, explain why it is not possible.
Your response must be at least 50 words.
No, It is not possible to have a complex number in the form of a + bi when b = 0.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Complex number.
It is in the form of a + ib.
Where a and b are real numbers.
Now,
If b = 0 then we can not have a complex number.
Example:
a + bi
a = 1 and b = 0
1 + 0i = 1 which is not a complex number.
In order to have a complex number a can be any real number and 0 but b can not be a zero.
Thus,
It is not possible to have a complex number in the form of a + bi when
b = 0.
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Complete the square
x^2 - 2x - 14 = 0
What is the measure of the missing angle?
A
to
118°
Answer:
x = 62°Step-by-step explanation:
a straight line has a width of 180°
take off 118° from 180° and you will have x
180° - 118° =
62°
Which of the following statements for a simple graph is correct?a) Every path is a trailb) Every trail is a pathc) Every trail is a path as well as every path is a traild) Path and trail have no relation
Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.
In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.
Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.
Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.
Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.
Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.
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What is a triangle with side lengths 6 8 and 10?
it is a right triangle lengths 6 8 and 10.
What is Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides. The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together. This is written as a2 + b2 = c2 in the usual algebraic notation.According to the Pythagorean Theorem, the square of the length of the bigger side is equal to the sum of the squares of the lengths of the two smaller sides for a right triangle.
In this issue:
The shorter sides are 6 and 8 inches long.The longer side measures 10.Then:
\(& 6^2+8^2=10^2 \\\)
\(& 36+64=100 \\\)
\(& 100=100\)
Identity, so it is a right triangle.
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For each angle θ , find the values of cosθ and sinθ . Round your answers to the nearest hundredth. 90°
Use a calculator.
\(\cos \theta=\cos 90^{\circ}=0.00\\\\\sin \theta=\sin 90^{\circ}=1.00\)
You can compare two marginal distributions to see if the corresponding two variables are related.T or F
You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .
The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.
The given question is related to probability and statistics.
Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.
The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.
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The volume of a cube is 125 cm3.
Calculate the total surface area of the cube.
Give the units of your answer.
Answer: Surface Area = 150cm^2
Step-by-step explanation:
The formula for finding the surface area of a cube is A=6V^2/3
Since the volume is given to you all you have to do is plug it into the formula where V is.
A= 6 * 125^2/3
Input this into a calculator and your answer should come out to be 150.
As for the unit it is cm but I am unsure of the power of what it should be but because its asking for surface area and not the cube as a whole I am assuming in this case it'll be cm^2
A time for the 100 meter sprint of 14.5 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the standard deviation is 2.1 seconds. A) −1.5; not unusual B) −3.1; unusual C) 1.5; not unusual D) −1.5; unusual
Since the probability is less than 5%, which is the conventional threshold for unusual results, we can conclude that the time of 14.5 seconds is unusual for this school's 100 meter sprint. Therefore, the correct answer is D) −1.5; unusual.
To solve this question, we need to calculate the z-score using the formula:
z = (x - μ) / σ
Where x is the individual time, μ is the mean time, and σ is the standard deviation.
Substituting the given values, we get:
z = (14.5 - 17.6) / 2.1 = -1.48
Since the calculated z-score is negative, we need to refer to the standard normal distribution table to find the corresponding probability. Looking up the z-score -1.48 in the table, we find that the probability is 0.0694 or approximately 6.94%.
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Please find the answers
Answer: -4,-3,-2,-1,0,1,2,3
Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.
Volunteers at Sam's school use some of
the student council's savings for a special
project. They buy 7 backpacks for $8 each
and fill each backpack with paper and pens
that cost $5. By how much did the student
council's savings change because of this
project?
Answer:
$91
Step-by-step explanation:
They bought 7 backpacks each costing $8. Multiply them together to get $56. They filled each with $5 worth of supplies. 7 * 5 = 35. $56 + $35 = $91
homework due now!!!!!!!!!!!
Answer:
Option D: 7/3x
Step-by-step explanation:
Because this line passes through the origin (0,0), we know that there is know b-value according to the equation y = mx + b. To figure out the equation, we must first calculate the slope of the linear function.
Slope = △y/△x
△y (change in y) = -7
△x (change in x) = -3
Therefore, the slope is 7/3 and the equation is y = 7/3x.
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
What is the three-period weighted moving average for july using the weights 0.5 (most recent), 0.3, and 0.2?
The three-period weighted moving average for july is 145.4.
What is Weighted Moving Average?A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.
When evaluating the movable average estimate of such an observation, each observation is usually weighted the same way. In some cases, it is advantageous to assign different weights to the observations so that the observation closest to the forecasted time period has a higher weight. This is known as the weighted moving average method. In such a weighted moving average technique, the sum of the individual weights must equal 1.Now, according to the question;
The weighted moving average strategy forecast for month of July is given by:
= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)
= (0.5 * 148) + (0.3 * 142) + (0.2* 144)
= 145.4
Therefore, the three-period weighted moving average for july is 145.4.
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The complete question is -
13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?
Period Value
1 - 138 (march)
2 - 142 (april)
3 - 148 (may)
4 - 144 (june)
Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a) (−1, 1, 1)
(b) (−6, 6sqrt(3),4)
(a) the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).
(b) the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).
(a) To change from rectangular to cylindrical coordinates, we use the formulas:
r = sqrt(x^2 + y^2)
θ = atan2(y, x)
z = z
Using these formulas with the point (-1, 1, 1), we get:
r = sqrt((-1)^2 + 1^2) = sqrt(2)
θ = atan2(1, -1) = 3π/4 (since the point is in the second quadrant)
z = 1
So the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).
(b) Using the same formulas with the point (-6, 6sqrt(3), 4), we get:
r = sqrt((-6)^2 + (6sqrt(3))^2) = 12
θ = atan2(6sqrt(3), -6) = 5π/6 (since the point is in the third quadrant)
z = 4
So the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).
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What is the simplified form of this expression? 16yx÷4+6yx(−2)
Answer:
The correct answer is -8yx.
Step-by-step explanation:
To simplify the expression 16yx÷4 + 6yx(-2), we can use the following steps:
Start by computing the expression within the parentheses:
6yx(-2) = -12yx.
Next, divide 16yx by 4 to get 4yx.
Finally, add the two simplified expressions from steps 1 and 2:
4yx + (-12yx) = -8yx.
Hence, the simplified form of the expression 16yx÷4 + 6yx(-2) is -8yx.
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Have a nice day
The average sum of differences of a series of numerical data from their mean is:
a. Zero
b. Varies based on the data series
c. Variance
d. other
e. Standard Deviation
The average sum of differences of a series of numerical data from their mean is zero (option a).
This property holds true for any data set when calculating the mean deviation (also known as the average deviation) from the mean. The mean deviation is calculated by taking the absolute difference between each data point and the mean, summing them up, and dividing by the number of data points.
However, it's important to note that this property does not hold true when using squared differences, which is used in the calculation of variance and standard deviation. In those cases, the average sum of squared differences from the mean would give the variance (option c) or the squared standard deviation (option e).
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<6 and <7 can be classified as:
A. alternate exterior angles
B. same-side interior angles
c. alternate interior angles
D. vertical angles
Answer:
Vertical angles
Step-by-step explanation:
I just think that's the answer
have a great rest of ur day though
if it take a person 3 hours to do something and another person 6 hours to do the same thing how much time will it take to do that thing if they work together
It will take them 2 hours to do the whole task if they work together.
If one person can do a task in 3 hours and another person can do the same task in 6 hours, then we can calculate their individual rates of work as follows:
The first person can do 1/3 of the task per hour (since it takes them 3 hours to do the whole task).
The second person can do 1/6 of the task per hour (since it takes them 6 hours to do the whole task).
When they work together, their rates of work will add up, so their combined rate of work is:
1/3 + 1/6 = 1/2
This means that working together, they can do 1/2 of the task per hour. To find out how long it will take them to do the whole task, we can use the formula:
time = work ÷ rate of work
Since the whole task is 1 unit of work, and their combined rate of work is 1/2 units per hour, we can plug in these values to get:
time = 1 ÷ (1/2) = 2 hours
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Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -
Answer:
y = 3/4x - 6 1/4
Step-by-step explanation:
I hope that the slope 3 4 - - means 3/4
Slope = 3/4
Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"
y = mx + b
-7 = 3/4(-1) + b
-7 = -3/4 + b
-7 + 3/4 = b 3/4 as a decimal = .75
-7 + .75 = b
-6.25 = b
The equation of the line is y = 3/4x - 6.25 or y = 3/4x - 6 1/4
Tricia is driving 64 miles per hour on an interstate highway. She must make a quick stop
because there is an emergency vehicle ahead.
a. what is her approximate reaction distance ?
b.what is her approximate braking distance ?
c. what is her total stopping distance ?
Answer:
the answer is c.
Step-by-step explanation:
Write an expression for the volume of a cube with a side of length 3z^5 Simplify your expression
The volume of the cube is 27\(z^{15}\)
A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.
Here we have to find the volume of a cube
The length of the side is 3\(z^{5}\).
The formula for the volume of the cube = a³
where a is the length of the side.
Substituting the value of a we get,
The volume of the cube = (3\(z^{5}\))³
= 27\(z^{15}\)
Therefore the volume of a cube is 27\(z^{15}\).
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HELP ASAP PLEASE I BEG TOU
Answer:
The graph below
Step-by-step explanation:
Start at -2 on the y-axis and go up 1/2 every space you go on the x-axis
Hope this Helps
Subtract 62-26 +9 from 62-7b-5 and select the simplified answer below. a. -9b-14 b. -5b+4 c. -5b-14 d. -9b+4
The simplified answer of the expression \(62-7b-5 - (62-26+9)\) is \(-7b+17\)
The expression that we need to simplify is \(62-7b-5 - (62-26+9)\).
We can simplify this expression by subtracting the bracketed expression from the given expression.
So, the value of \(62-26+9\) is \(45\).
Thus, the expression becomes \(62-7b-5 - 45\).
Now, we can combine like terms to simplify it further.
\(-7b\) and \(-5\) are like terms, so they can be combined.
\(62\)and \(-45\) are also like terms as they are constants, so they can also be combined.
So, the simplified expression becomes \(-7b+17\).
Therefore, the answer to the given problem is \(-7b+17\).
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Tina's 4 Kids ^drink 2 cups of Juice per day. In a 30-day month, how many gallers, will Tina's Ken Kids drink? AA = 8 cups each day in a
Answer:240
Step-by-step explanation:
8x30=240
Answer:
240
Step-by-step explanation:
30x2x8 so that is your answer
The world population in 2000 was approximately 6.08 billion. The annual rate of increase
was about 1.26%
which year will it be when the population reaches 7.5 billion?
Answer:
6
Step-by-step explanation:
A beam of electrons with energies of 250 MeV is scattered through an angle of 100 by a heavy nucleus. It is found that the differential cross-section is 65% of that expected from scattering from a point nucleus. Estimate the root mean square radius of the nucleus
Answer: The radii of atomic nuclei are of the order of 50×10^-15 to the negative 15th power.
The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that
• the probability of being awarded the first job (Event A) is 0.75;
• the probability of being awarded the second job (Event B) is 0.5; and
• the probability of being awarded both jobs (A and B) is 0.375.
If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?
If the owner's beliefs are correct, the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.
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