Is the study experimental or observational?A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.(A) ExperimentalB) Observational
Answer:
B) Observational
Explanation:
Observational studies are studies where the researchers only observe the variables and don't make changes. When the political pollster reports the percentage, it only observes the decision of the people but they can't change what makes a person select one candidate or the other.
A rectangle has a length 7 meters more than seven times the
width. Find all of the possible widths that result in the area of
the rectangle is less than 392 meters².
Answer:
The width, x, is in the interval (0, 7), or 0 < x < 7.
Step-by-step explanation:
width = x
length = 7x + 7
area = x(7x + 7)
x(7x + 7) < 392
7x² + 7x - 392 < 0
x² + x - 56 < 0
(x - 7)(x + 8) < 0
We have two points of interest on the number line:
-8 and 7
That makes three intervals of interest:
(-∞, -8), (-8, 7), (7, ∞)
Now we test a number from each interval.
Try -10:
(x - 7)(x + 8) < 0
(-10 - 7)(-10 + 8) < 0
(-17)(-2) < 0
34 < 0 False
Interval (-∞, -8) does not work.
Try 0:
(x - 7)(x + 8) < 0
(0 - 7)(0 + 8) < 0
(-7)(8) < 0
-56 < 0 True
Interval (-8, 7) works.
Try 10:
(x - 7)(x + 8) < 0
(10 - 7)(10 + 8) < 0
(3)(18) < 0
54 < 0 False
Interval (7, ∞) does not work.
Since we are dealing with a rectangle, the length and width must be positive numbers.
The interval (-8, 7) works mathematically for the width, but it must be limited to positive numbers, so the width must be in the interval
(0, 7)
2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:
Step-by-step explanation:
Combining like terms occurs at this step:
3x - 6 + 6 = 3 + 6
Combining the - 6 + 6 =and 3 + 6 yields:
3x = 9
71.77×6.1 what the answer
Answer:
437.797
Step-by-step explanation:
Answer:
437.797
Step-by-step explanation:
thats the answer
What are the lengths of AD, DB, AE, and EC? Measure and record them.
Ayuden por favor, no entiendo este problema
We will get that the angle theta is:
θ = β/2
How to find the value of theta?Remember that the sum of the interior angles of any triangle must be equal to 180°.
Now, looking at the triangle in the left, we can see that the top angle is equal to:
180 - 2α
The right angle is equal to:
180 - 2β
And the left angle is α
Then we can write:
α + (180 - 2α) + (180 - 2β) = 180
-α - 2β = -180
α = 180 - 2β
Now we can go to the other triangle, where theta is, and write:
α + β + 2θ = 180
Replacing what we found above, we get:
180 - 2β + β + 2θ = 180
-β + 2θ = 0
θ = β/2
That is the best simplification we can get with the given diagram.
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can anyone help me with this
Solve the equation for x. -2x + 5 = 37
Answer:
x= -16
Step-by-step explanation:
-2x+5=37
-2x=37-5
-2x=32
x= -16
Answer:
x= -16
Step-by-step explanation:
The goal in this problem is to get X on one side by itself.
We know that the opposite of subtraction is addition and the opposite of multiplication is division.
so to get 5 over to the right side, we need to subtract.
-2x+5=37 >>-2x= 37-5= 32
your problem now reads -2x= 32
We still have -2 on the left side and we need it to go to the right side so that X is by itself. The opposite of multiplication is division, so we will need to divide
-2x=32÷-2 >> x=-16
I NEED HELP PLEASE!!!
Answer:
C (-13,-2)
Step-by-step explanation:
ca i get a second help plz. i'ma give away 100 points for it!!!!
Answer:
Ok! What's the question?
What is the shape of the cross section formed by the plane?
Answer:
B
Step-by-step explanation:
Look at the base :))
Answer:
Step-by-step explanation:
Hi, The cross section is rectangle
For each plumbing repair job, Mr. Wrench charges $N$ dollars for coming out to the house plus $x$ dollars per hour that he works at the house. He charged $\$97$ for a one-hour repair job and $\$265$ for a five-hour repair job. What is his charge for a two-hour repair job
Mr. Wrench would charge $139 for a two-hour repair job for coming out to the house as N dollars and the charge per hour of work as x dollars.
Let's denote the charge for coming out to the house as N dollars and the charge per hour of work as x dollars. We are given the following information:
For a one-hour repair job, the total charge is $97.
For a five-hour repair job, the total charge is $265.
From this, we can set up two equations:
N + 1x = 97 (equation 1)
N + 5x = 265 (equation 2)
To find the charge for a two-hour repair job, we need to solve for N and x in the equations above and substitute the value of x into the equation for a two-hour repair job.
Subtracting equation 1 from equation 2, we get:
(5x - 1x) = (265 - 97)
4x = 168
x = 42
Now we can substitute the value of x into equation 1 to solve for N:
N + 1(42) = 97
N + 42 = 97
N = 97 - 42
N = 55
Therefore, the charge for a two-hour repair job is N + 2x:
55 + 2(42) = 55 + 84
= $139
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On a certain hot summer's day, 453 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $932.25. How many children and how many adults swam at the public pool that day?
Answer:
children = 87 ; adults = 366
Step-by-step explanation:
a + c = 453
2.25a + 1.25c = 932.25
a = 453 - c
2.25(453 - c) + 1.25c = 932.25
1019.25 - 2.25c + 1.25c = 932.25
-c = 932.25 - 1019.25
-c = -87
c = 87
a = 453 - 87
a = 366
The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that best describes the property.
1/5 • 5 = 1
√2 ( 1/√2 ) = 1
Inverse property of multiplication: For all real numbers except
? , a • = 1.
Answer:
Zero!!
Zero can't be divided and when multiplied, will result 0.
Answer:
answer in picture
Step-by-step explanation:
Zoe uses 5 cups of vinegar in her salad dressing recipe. How much vinegar would Zoe use to make 4 1/4 recipes?
Zoe would need 21 cups of vinegar to make 4 1/4 recipes of her salad dressing. This is calculated by multiplying 5 cups of vinegar (the amount used for one recipe) by 4.25 (4 1/4 recipes).
To calculate how much vinegar Zoe would need to make 4 1/4 recipes of her salad dressing, we first need to determine how much vinegar she uses for one recipe. In this case, it is 5 cups. Then, we need to multiply this amount by 4.25, which is the number of recipes she needs to make. 5 cups x 4.25 = 21 cups. Thus, Zoe would need 21 cups of vinegar to make 4 1/4 recipes of her salad dressing. This calculation can also be written as 5 cups x 4.25 recipes = 21 cups of vinegar.
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1. Find the equation of the straight line that passes through the points (0, -1) and (-1,0).
2. For this problem, please use the point-gradient form of the equation that passes through
the points (2, -4) and has gradient/slope 3.
3. Find the equation of the straight line that is parallel to the line y = x-2 and goes through
the point (0,1). Use Desmos Graphing Calculator to check your answer.
Answer:
1) y = -x -1
2) y + 4 = 3( x -2)
3) y = x + 1
Step-by-step explanation:
1)
The slope is the change in y over the change in x. The y values from the points given is 0 and -1. The x values from the points given is -1 and o
Slope: \(\frac{o - -1}{-1 - o}\) = \(\frac{1}{-1}\) = -1
y -intercept
y = mx + b Use the point (0,-1) and the slope to solve for b
y = -1
m = -1
x = 0
y = mx + b
-1 = -1(0) + b
-1 = 0 + b
-1 = b This is the y intercept.
y = mx + b
y = =x -1
2)
point-gradient form is
y -y = m (x-x)
y - -4 = 3 (x -2)
y + 4 = 3( x - 2)
3)
Parallel lines have the same slope.
slope is 1. Use this and the point (0,1) to solve for b
y = mx + b
1 = 1(0) + b
1 = 0 + b
1 = b
y = x + 1
Part 1: Diagraming Common Tangents
Create diagrams to represent the possible cases for common tangents between two
circles. Your diagram can be created using multimedia sources or drawn by hand. They
should not be copied and pasted from a website. Explain why your diagrams satisfy the
given criteria.
Two Common Tangents
a) Diagram:
b) Justification:
please give a justification
Answer:
Use https://www.bartleby.com/ it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes :)
Step-by-step explanation:
8000 ÷ 4,000,000
SHOW WORK STEP BY STEP
Answer:
500
Step-by-step explanation:
Answer:
500
put the 8,000 into the 40,000 mark. you will get a five and if you tried to put it in the last two, you would get 0. 8000*5=40000 so subtract 40,000 and you should get a 0 there. keep putting the zeroes until you get to the end.
a club puts its members into 5 groups for an activity. after 7 students have to leave early there are only 3 students left tot finish the activity. how many students were in each group
Answer:
2
Step-by-step explanation:
10 divided by 5
find two integers whose product is 136 such that one of the integers is seven less than three times the other integer
The two integers whose product is 136 are 17 and 8.
Let x be one of the integers. Then, the other integer is 3x - 7. The product of the two integers is given by:
x * (3x - 7) = 136
Expanding and solving for x, we get:
x^2 - 7x + 136 = 0
Using the quadratic formula, we can find the two solutions for x:
x = (-(-7) ± √(\((-7)^2\) - 4 * 1 * 136)) / (2 * 1)
x = (7 ± √(49 + 544)) / 2
x = (7 ± √593) / 2
Since x must be an integer, we round down the decimal to the nearest integer to get:
x = 8 or x = 9
Since x represents one of the integers, the other integer is 3x - 7, so:
3x - 7 = 3 * 8 - 7 = 17
Therefore, the two integers are 8 and 17, and their product is 136.
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Discrete Random Variables
A discrete random variable may take on only a countable number of distinct values such as 0,1,2,3,4,...
Discrete random variables are usually (but not necessarily) counts. If a random variable can take only a finite number of distinct values, then it must be discrete. Examples of discrete random variables include the number of children in a family, the Friday night attendance at a cinema, the number of patients in a doctor's surgery, and the number of defective light bulbs in a box of ten.
The probability distribution of a discrete random variable is a list of probabilities associated with each of its possible values. It is also sometimes called the probability function or the probability mass function.
Example'
The cumulative distribution function for the above probability distribution is calculated as follows:
The probability that \(X\) is less than or equal to is 0.1,
the probability that \(X\) is less than or equal to 2 is 0.1+0.3 = 0.4,
the probability that \(X\) is less than or equal to 3 is 0.1+0.3+0.4 = 0.8, and
the probability that \(X\) is less than or equal to 4 is 0.1+0.3+0.4+0.2 = 1.
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The perimeter of an equilateral triangle is 36 inches. Find the length of the altitude of the triangle. Enter your answer as an equation. For example x = your answer.
Simplified Radical: ?
Decimal: ?
6√3 inches is the length of the altitude of the equilateral triangle.
Let x be the length of one side of the equilateral triangle.
The perimeter of the equilateral triangle is 3x since all sides are equal.
So, 3x = 36 inches.
Dividing by 3 on both sides, we get x = 12 inches.
Let h be the altitude of the equilateral triangle.
The altitude bisects the base of the equilateral triangle and creates two right triangles, each with a base of 6 inches (half of 12 inches) and a hypotenuse of 12 inches (the side of the equilateral triangle).
Using the Pythagorean theorem, we can find the height of the right triangle:
\(h^2 + 6^2 = 12^2\\\\h^2 + 36 = 144\\\\h^2 = 108\\\\h = sqrt{(108)} = 6\sqrt3\ inches.\)
Therefore, the length of the altitude of the equilateral triangle is h = 6√3 inches.
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Write the equation of a line that is parallel to the line-y=-x+6
Answer:
y=x-5
Step-by-step explanation:
y=mx+b
if lines are parallel then that means the slope (m) is the same so the only thing left to change is the y-intercept (b). this can be anything but probably shouldn't be what the original was
How can you prove the triangle sum theorem?
The sum of angle in a triangle is 180°
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
The sum of angle A, B and C is 180 i.e A+B +C = 180°
Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180
How do we prove that the sum of angle in a triangle is 180°?
Since triangle is 3 sided, n= 3, because n denote the number if sides
therefore the sum of angle = (n-2) 180 = (3-2)×180
= 180°
therefore the sum of angle In a triangle is 180°
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What is the perimeter of the triangle?
units
\( \huge {\green{\fbox{\blue{\underline{\pink{Answer}}}}}}\)
Perimeter of a triangle = Sum of all sides of triangle
The unit of perimeter of a triangle is same as length of its sides
such as length of a side is 4cm then perimeter of the triangle will also be in cm .Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable
Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.
What is a regression line?In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.
In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;
Y = α₀+α₁X+α₂X₂+ε
Where:
Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.In conclusion, Y represent the dependent variable or response variable in a linear regression.
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Please I need help I'm in grade 5 and I don't understand this so make me understand in a easy way.
9. If A = x - y + z, B = 2x - 3y +4z and C = 4x - 5y - 6z, find
(I) A + B + C
(II) A - B + C
(III) A + B - C
Answers:
A+B+C = 7x - 9y - zA-B+C = 3x - 3y - 9zA+B-C = -x + y + 11z======================================================
Explanation:
Skip to the "Work Shown" section below to see the steps for each part.
Each variable is a place holder for some unknown number. We can think of it like a box that holds a number. Luckily the letter x is found in the word "box" to help cement this line of thinking.
1x = 1 box
2x = 2 boxes
3x = 3 boxes
and so on
This shorthand notation allows us to quickly add boxes
2 boxes + 3 boxes = 5 boxes
So 2x+3x = 5x
And we can subtract boxes as well
7 boxes - 3 boxes = 7x - 3x = 4x = 4 boxes
The same number must go in box x for this to work out.
When it comes to dealing with negative numbers, it might help to use a vertical number line. I like to think of it like going up and down an elevator on a skyscraper. Negative integers represent basement levels.
It's possible to have boxes within boxes. The box A has the three boxes x-y+z inside it. So wherever we see an "A", replace it with x-y+z. Unfortunately we don't know what numbers go in the boxes for x, -y and z. Use the same type of thinking for B and C.
Don't forget to use the distributive property to distribute the negative through to each term.
Example: (x+y)-(w+z) = x+y-w-z
Many students make the mistake in saying that (x+y)-(w+z) = x+y-w+z which is not true. The +z should be -z at the very end.
Let me know if you have any other questions.
The next section below shows the steps needed to get the three answers.
----------------
Work Shown:
Part (I)
A+B+C = (x-y+z)+(2x-3y+4z)+(4x-5y-6z)
A+B+C = (x+2x+4x)+(-y-3y-5y)+(z+4z-6z)
A+B+C = 7x - 9y - z
Part (II)
A-B+C = (x-y+z)-(2x-3y+4z)+(4x-5y-6z)
A-B+C = x-y+z-2x+3y-4z+4x-5y-6z
A-B+C = (x-2x+4x)+(-y+3y-5y)+(z-4z-6z)
A-B+C = 3x - 3y - 9z
Part (III)
A+B-C = (x-y+z)+(2x-3y+4z)-(4x-5y-6z)
A+B-C = x-y+z+2x-3y+4z-4x+5y+6z
A+B-C = (x+2x-4x)+(-y-3y+5y)+(z+4z+6z)
A+B-C = -x + y + 11z
Help please, I don't get it.
Answer:
Given figure is Parallelogram:
Answer of 7:HK=JI(Given;since in a parallelogram opposite sides are equal and parallel always given)
Answer of 8:JH=JH(common side of both the traingles)
Answer of 9:(By SSS axiom of congruency).
A rectangle has a height of 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
Answer:
Step-by-step explanation:
a normalized binary number consists of three parts. these are:
Main Answer: A normalized binary number typically consists of three parts:
Sign bitExponentMantissaSupporting Question and Answer:
What is a sign bit in a normalized binary number?
The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.
Body of the Solution: A normalized binary number typically consists of the following three parts:
Sign bit: This is the leftmost bit of the number and indicates whether the number is positive or negative. A value of 0 indicates a positive number, while a value of 1 indicates a negative number.Exponent: This is the next set of bits that represent the exponent of the number in binary form. The exponent represents the power to which the base (2) is raised to obatain the actual value of the number. Mantissa: This is the remaining bits that represent the fractional part of the number in binary form. The mantissa contains the significant digits of the number, which are multiplied by the base raised to the exponent power to obtain the actual value of the number.Final Answer: A normalized binary number typically consists of three parts:
Sign bitExponentMantissaTo learn more about the sign bit in a normalized binary number from the given link
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