Answer: The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value).
The square root function is defined for non-negative numbers, so the expression inside the square root must be non-negative.
In this case, -6x - 7 must be greater or equal to 0.
-6x - 7 ≥ 0
x ≥ (7 + 7)/6 = 14/6 = 7/3
So the domain of the function is x ≥ 7/3, or x ∈ [7/3, ∞)
In interval notation, the domain of f(x) = √-6x - 7 is x ∈ [7/3, oo)
Step-by-step explanation:
Solve for x: 3(x + 1) = 2(x − 1)
The value of x from the equation 3(x + 1) = 2(x − 1) is -5
What are algebraic expression?Algebraic expression are defined as expression that are composed of terms, variables, coefficients, factors and constants.
Algebraic expressions are also composed of mathematical operations. Some of these operations are;
SubtractionDivisionBracketMultiplicationFloor divisionAdditionParenthesesFrom the information given, we have the expression;
3(x + 1) = 2(x − 1)
expand the bracket
3x + 3 = 2x - 2
collect like terms
3x - 2x = -2 - 3
subtract like terms
x = -5
Hence, the value is -4
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given: an exterior stud wall with brick veneer is 11 ft tall and 40 ft long. 25 % of the area of the wall is windows (glass, frame and sash). find: total weight of the wall and the average dead load in lb/ft of the length of the wall (per foot of wall length) that the wall exerts on the floor. solution: use the tables in hibbeler for weights of materials.
The total weight of the wall and the average dead load per foot of wall length can be calculated.
The total weight of the wall can be calculated by finding the weight of the bricks and frame, then adding the weight of the glass and sash. The total weight of the wall (W) is calculated as follows:
W = (0.25*40ft*11ft)*(weight of bricks + weight of frame) + (0.75*40ft*11ft)*(weight of glass + weight of sash)
The average dead load (F) per foot of wall length is calculated by dividing the total weight of the wall by the total length of the wall (L):
F = W/L = (0.25*40ft*11ft)*(weight of bricks + weight of frame) + (0.75*40ft*11ft)*(weight of glass + weight of sash) / (40ft)
Using the tables in Hibbeler for weights of materials, the total weight of the wall and the average dead load per foot of wall length can be calculated.
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Angelica buys 3 packets of
movie cards and 6 packets of cartoon cards
and adds these to the 3 packets of movie cards
she already has. Write three equivalent algebraic
expressions for the number of cards Angelica
has now.
The algebraic expression will be Y=a+9
Where Y=number of cards Angelica has now, a=added movie cards,
what are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
As given
Angelica buys 3 packets of movie cards and 6 packets of cartoon cards
and and adds these to the 3 packets of movie cards she already has
Now let a=packets of movies she already has
and Y=number of cards Angelica has now
Therefore, The algebraic expression will be
Y=a+3+6=a+9
Y=a+9
Where a=3
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In exercises 5–8 tell whether a correlation is likely in the situation. If so tell her there’s a casual relationship. Explain your reasoning. 6. favorite color and color of shoes 
ANSWER FAST PLEASE
WILL GIVE BRAINLIEST
Any statistical relationship between two random variables or bivariate data, whether causal or not, is referred to as dependence or correlation.
What is correlation?The correlation between two variables A and B is exactly the same as the correlation between A and B, and it describes the strength of the association between the two.
A causal relationship exists when an alteration in one variable directly affects an alteration in the other variable. A causal generalization, such as the claim that smoking causes lung cancer, does not refer specifically to any one smoker but rather to the unique connection between the characteristic of smoking and the characteristic of developing lung cancer.
An overview was given as your information is incomplete and can't be found.
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What was the price of the ABC bond on the previous day?
The price of the ABC bond on the previous day is $104 3/4
How to determine the price of the bondFrom the question, we have the following parameters that can be used in our computation:
Rate = $10 per day
Current price = $114 3/4
Using the above as a guide, we have the following:
Previous price = Current price - Rate
Substitute the known values in the above equation, so, we have the following representation
Previous price = $114 3/4 = $10
Evaluate the difference
Previous price = $104 3/4
Hence, the previous price is $104 3/4
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Complete question
ABC bond increase by $10 everyday. If the price on a given is $114 3/4, what was the price of the ABC bond on the previous day?
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16. Determine if the functions represent even, odd, or neither.
Answer:
a) even
b) neither
c) odd
Step-by-step explanation:
A function is "even" when there is symmetry about the y-axis.
Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:
f(x, y) = f(-x, y)A function is "odd" when there is origin symmetry.
Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:
f(x, y) = f(-x, -y)Graph aFrom inspection of the graph, the curve appears to be symmetrical about the y-axis. Therefore, the function is even.
Graph bThis is an absolute value function. It has no symmetry about the y-axis or the origin. Therefore, the function is neither.
Graph cFrom inspection of the graph, the curve appears to be symmetric with respect to the origin. Therefore, the function is odd.
The store is selling lemons at $0.67 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?
Answer:5.36
Step-by-step explanation: bc ik
Answer: Four 9" pies require 2 cups of juice (4 time 0.5)
Two cups of juices is 32 tablespoons (16 Tbl to a cup)
Sixteen lemons are needed (32 / 2)
(16)($0.67)= $10.72
Hope this helps
mysub prints the x value residing in sub4 since the value of x in sub2 is bound to the value of the function in which sub2 was called
The function is called deep binding.
In deep binding, When the function is created, It uses the environment.
Shallow binding : In shallow binding, When the function invokes, it uses the environment.
Ad hoc binding : In Ad hoc binding, when the uses called expression in which the procedure is passed as an argument, it uses the environment.
mysub prints the x value residing in sub4 since the value of x in sub2 is bound to the value of the function in which sub2 was called => deep binding
mysub prints the x value residing in sub1 since the value of x in sub2 is bound to the value of the function in which sub2 was defined = > shallow binding
mysub prints the value residing in sub3 since the value of x in sub2 is bound to the value of the function that passed sub2 as an actual parameter => ad hoc binding.
So,
The function is deep binding.
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James and kyra had a contest to see who could eat the most pizza , while kyra at 7/8 of a pizza and James ate 2 whole pizzas. How much more did James eat?
Answer:
Jessica and some friends have ordered two pizzas. One is a medium sized pizza while the other is a large
Step-by-step explanation:
Jessica and some friends have ordered two pizzas. One is a medium sized pizza while the other is a large
in order for a researcher to obtain a raa researcher is interested in average first semester change in weight (gain or loss) for students at a local college. thus, they record the individual change in weight for a small group of 25 freshman from this college during their first semester. then, the researcher calculates the average change in weight during the first semester among these 25 students. the average is an example of a .ndom sample, they need to specifically do which of the following things?
The average of a sample of any data set as given here is an example of a statistic. Hence, option D is the correct answer.
A parameter and a statistic are very similar to one another. Parameters are numerals that are used to describe the properties of total populations. Statistics are numerals that are used to describe the properties of samples. For example, the average age of everyone in a country is a parameter while the average of just 25 peoples' age is a statistic.
Here, we have been told that the researcher recorded the individual change in weight for a small group of 25 freshmen from this college during their first semester, and then, the researcher calculated the average change in weight during the first semester among these 25 students. Hence, we know that the average here is a statistic. So, option D is the correct answer.
The complete question that you might be searching for is given below -
In order for a researcher to obtain a raa researcher is interested in the average first-semester change in weight (gain or loss) for students at a local college. thus, they record the individual change in weight for a small group of 25 freshmen from this college during their first semester. then, the researcher calculates the average change in weight during the first semester among these 25 students. The average is an example of a-
a. constant
b. variable
c. parameter
d. statistic
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Nachelle decides to estimate the volume of a grapefruit by modeling it as a sphere. She measures its diameter as 11.4 cm. Find the grapefruit's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.
The grapefruit's volume in cubic centimeters to the nearest tenth is equal to 775.8 cubic centimeters.
How to calculate the volume of a sphere?Mathematically, the volume of a sphere can be calculated by using this mathematical expression:
Volume = 4/3 × πr³
Where:
r represents the radius.
Based on the information provided about the grapefruit, the diameter of the sphere is given by;
Diameter of sphere = 11.4 cm
Radius = diameter/2 = 11.4/2 = 5.7 cm.
Substituting the given points into the volume of a sphere formula, we have the following;
Volume of sphere = 4/3 × 3.142 × 5.7³
Volume of sphere = 775.8 cubic centimeters.
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13.1 Appropriate Tools Choose the appropriate metric tool and unit. 1. height of a soccer trophy
The tools used to measure height of a soccer trophy metric ruler and the unit is centimeter.
What are the tools and unit often used to measurement? Tools and units used for measurement vary depending on the type of measurement being taken. Some common tools used for measurement include: rulers, tape measures, calipers, and micrometers. Other tools may include thermometers, scales, and flow meters.To measure length, the most common unit is the meter. This is the International System of Units (SI) standard for length. Other common units for length include the centimeter, inch, foot, and yard. To measure area, the most common unit is the square meter. Other units for area include the square foot, square yard, acre, and hectare.To measure volume, the most common unit is the liter. Other common units for volume include the gallon, quart, pint, and fluid ounce. To measure mass, the most common unit is the gram. Other common units for mass include the kilogram, ounce, pound, and stone.To measure temperature, the most common unit is the Celsius degree. Other common units for temperature include the Fahrenheit and Kelvin degrees. To measure time, the most common unit is the second. Other common units for time include the minute, hour, day, week, and month.
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The tools used to measure height of a soccer trophy metric ruler and the unit is centimeter.
What are the tools and unit often used to measurement?Tools and units used for measurement vary depending on the type of measurement being taken. Some common tools used for measurement include: rulers, tape measures, calipers, and micrometers. Other tools may include thermometers, scales, and flow meters.
To measure length, the most common unit is the meter. This is the International System of Units (SI) standard for length. Other common units for length include the centimeter, inch, foot, and yard. To measure area, the most common unit is the square meter. Other units for area include the square foot, square yard, acre, and hectare.
To measure volume, the most common unit is the liter. Other common units for volume include the gallon, quart, pint, and fluid ounce. To measure mass, the most common unit is the gram. Other common units for mass include the kilogram, ounce, pound, and stone.
To measure temperature, the most common unit is the Celsius degree. Other common units for temperature include the Fahrenheit and Kelvin degrees. To measure time, the most common unit is the second. Other common units for time include the minute, hour, day, week, and month.
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3) A mechanism used to encrypt and decrypt data
a) Data flow
b)Algorithm
c) cryptography
d)None of these
Answer:
c) cryptography
Step-by-step explanation:
Cryptography is a mechanism used to encrypt and decrypt data.
If the integers have different signs___ The, lesser absolute value from the greatest absolute value use the sign of the numbers with the___ absolute value
Can you please fill in the blank
If the integers have different signs subtract the, lesser absolute value from the greatest absolute value and use the sign of the number with the larger absolute value.
What are integers?
The word "integer" first emerged in the Latin term "Integer," which denotes whole or intact. The particular class of numbers known as integers is made up of zero, positive numbers, and negative numbers.
Treatment of integers with different sign
If the integers have different signs, we need to subtract the, smaller absolute value from the larger absolute value and we use the sign of the number which has the larger absolute value.
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Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.
f(x) =5(4)x
Without graphing the function f(x) = 5 (4)ˣ is an exponential growth
The y intercept is 5
How to determine whether the function is an exponential decayExponential function is a type of function of the form: f(x) = a(b)^x. It is made up of 3 main parts
a = the starting or initial value
b = the base function
x = the exponents
The base is what determines exponential growth or decay
when the base is < 1 we have exponential decay nut when the base is > 1 we have exponential growth
Considering the problem, f(x) = 5 (4)ˣ
the starting = 5
the base = 4 exponential growth
the exponents = x
The y intercept is the starting this is the value at x = 0
f(x) = 5 (4)ˣ
f(x) = 5 (4)⁰
f(x) = 5 * 1
f(x) = 5
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triangles abc and lmn are similar with measurements as shown. what is the measurement of bc, rounded to an integer?
The sides of the triangle ABC are 6, 10, and 8. The sides of the triangle LMN are 12, 20, and 16. The ratio of the respective sides is the same for the two triangles because they are comparable. Therefore, BC is 10 miles long.
Due to the equal ratio of their corresponding sides, the triangles ABC and LMN are comparable. This indicates that the lengths of the sides of LMN may be obtained by multiplying the lengths of the sides of ABC by the same factor. For instance, side AB in ABC is 6 inches long, whereas side LM in LMN is 12 inches long. The lengths are 6:12, or 1:2, apart. The ratio remains the same for all matching. We can examine the other two sides of ABC to verify this response. Ten is the length of AC, and twenty is the length of MN. These two sides must likewise be multiplied by the same factor (1/2), since the ratio of the corresponding sides is the same. This results in AC and MN having lengths of 10 and matching ABC's dimensions. This demonstrates that BC is eight miles long.
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the complete question is
triangles abc and lmn are similar with measurements as shown. what is the measurement of bc, rounded to an integer find BC?
a significant number of accidents are caused by vehicle equipment failure such as the following except:
A significant number of accidents are caused by vehicle equipment failure such as the following except Operative lights.
Operative lights are also called Surgical lights which are medical equipment devices used to illuminate the operating field during surgery.
Surgical lights are referred to by many names: Operating lights, OR lights, operating room lights, surgical lamps, and surgical light heads.
The primary function of surgical lighting is to illuminate the operative site on and/or within a patient for ideal visualization by OR staff during a surgical procedure.
With proper lighting, operating room staff can achieve a higher level of efficacy during surgery and reduce the risk of complications.
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B. In square EFGH, find the length of EG.
Applying the properties of the diagonals of a square, the length of EG ≈ 8.5 units.
What are the Properties of the Diagonals of a Square?The diagonals of a square are line segments that connect opposite corners of the square. They have the following properties:
They are equal in length.They bisect each other at a 90-degree angle.They are also medians and altitudes of the square.They are also the perpendicular bisectors of the opposite sides of the square.Therefore, each segment that is formed by the bisection of the diagonals would be equal to 6.
Applying Pythagorean theorem, we have:
EG = √(6² + 6²)
EG = √(36 + 36)
Length of EG ≈ 8.5 units.
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1415 concert tickets were sold for a total of $26.665. If students paid $15 and nonstudents paid $23, how many student tickets were sold?
The number of tickets sold for students is 735.
What is a system of equations?A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.
Given that, 1415 concert tickets were sold for a total of $26,665. If students paid $15 and non students paid $23,
To solve this problem we will establish a system of equations,
Let the sold ticket for students be x, and that of non students be y,
x+y = 1415
y = 1415-x...(i)
15x + 23y = 26,665...(ii)
Substitute eq(i) in eq(ii)
15x + 23(1415-x) = 26665
15x + 32545 - 23x = 26665
8x = 5880
x = 735
Hence, the number of tickets sold for students is 735.
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10. When there are 12 observations in a small sample, the median is calculated by
a. the sixth position of an ascending sorted data
b. the average value of the sixth position and the seventh position of an ascending sorted d
c. the sixth position of the data as they were presented without sorting
d. the average value of the sixth position and the seventh position of the data as they were
sented without being sorted
When there are 12 observations in a small sample, the median is calculated by: b. the average value of the sixth position and the seventh position of an ascending sorted.
What is a median?In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.
How to calculate the median number of 12 observations?First of all, we would sort the 12 observations from the least to greatest as follows:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
The median for 12 observations is the average of the 6th and 7th number:
Median = (6 + 7)/2
Median = 13/2
Median = 12.5.
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solve the equation for all values of x if x^2-12x+27=0
by completing the square
Step-by-step explanation:
by cross method of factorisation.
x^2 - 12x + 27 = 0
(x - 3)(x - 9) = 0
so the roots are 3 and 9
The line plot shows the different lengths of nails in your toolbox. If you take all the nails that are less than 2 inches long and lay them end to end, how far will they reach?
Where the line plot shows the different lengths of nails in your toolbox. If you take all the nails that are less than 2 inches long and lay them end to end, the nails will reach 15 1/2 inches far. (Option C)
What is a line plot?A line chart is a type of chart that presents information as a succession of data points called "markers" that are connected by straight-line segments. It is a simple form of a chart that is used in many disciplines.
With regard to the attached line plot, we have the following information.
See the attached line plot
Size inches Numbers ( frequency)
1/2 3
1 5
1 1/2 6
2 1
2 1/2 0
3 0
3 1/2 2
4 1
Nails less than 2 inches in size are 1/2, 1, and 1 1/2
The total length = 3(1/2) + 5(1) + 6(1 1/2)
= 3/2 + 5 + (3/2 * 6)
= 3/2 + 5 + 9
= 3/2 + 14
= 1 1/2 + 14
= 15 1/2 Inches.
Therefore, it is correct to state that all the nails that are less than 2 inches will reach 15 1/2 inches. Hence option C is correct.
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Full Question:
See attached image.
Convert 0.607 0.607 to a fraction in simplest form and a percent.
Answer:
Step-by-step explanation:
First write down the decimal number divided by 1 like this:
0.607
1
As we have 3 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 103 = 1000, so that there is no decimal point in the numerator
0.607 × 1000
1 × 1000
=
607
1000
Therefore, 0.607 as a fraction is 607/1000
find the slope of a line perpendicular to the line whose equation is2x+3y=-3 . Fully simply your answer.
3/2 is a slope of a line perpendicular to the line whose equation of
2x+3y=-3 .
What is meant by perpendicular ?One specific example of the more broad mathematical concept of orthogonality is the concept of perpendicularity, which is the orthogonality of traditional geometric objects.
As a result, in higher mathematics, the term "perpendicular" is occasionally used to represent considerably more intricate geometric orthogonality criteria, like the relationship between a surface and its normal vector.
If two lines cross at a right angle, they are said to be perpendicular to one another.
A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.
This can be done by rearranging the equation into the slope intercept form.
2x +3y = -3
3y = -2x -3
y = -2/3x - 1
Thus, the slope of the given line is -2/3.
The slope of the perpendicular line is the negative reciprocal of the given line.
Slope of perpendicular line = 3/2
The slope-intercept form was:
(i) The reciprocal of m is 1/m.
(ii) The negative reciprocal of m is -1/m.
Negative reciprocal of -2/3
= -1 ÷ (- 2/3)
= -1 × (-3/2)
= 3/2
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use the pythagorean theorem to find the length of the missing side of the right triangle. then find the value of each of the six trigonometric functions of 0
The length of the missing side is 12cm.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. So if we know the lengths of two sides of a right triangle, we can use the theorem to find the length of the third side.
Given:
Base (b) = 16 cm
Hypotenuse (c) = 20 cm
We can use the Pythagorean theorem to find the length of the missing side (a), which is the side opposite the right angle and adjacent to the base.
c^2 = a^2 + b^2
20^2 = a^2 + 16^2
400 = a^2 + 256
144 = a^2
a = 12cm
once we have the length of the missing side, we can use the values of the base and hypotenuse to find the six trigonometric functions:
Sine (sin) = a/c = 12/20 = 0.6Cosine (cos) = b/c = 16/20 = 0.8Tangent (tan) = a/b = 12/16 = 0.75Cosecant (csc) = c/a = 20/12 = 1.67Secant (sec) = c/b = 20/16 = 1.25Cotangent (cot) = b/a = 16/12 = 1.33Therefore, the length of the missing side is 12cm.
The question is incomplete as it does not include the figure. Hence I have attached the figure for a complete understanding of the problem.
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Wha is the value of the expression below (-8)^5/3
Hey there!
Solutions:Exact Form: [tex]-\frac{32768}{3}[/tex]Decimal Form: [tex]-10922.[/tex]Mixed Number Form: [tex]-10922\frac{2}{3}[/tex]
Hope this helps!
Help I need help with this question
The scale factor needed to form ΔA'B'C' from ΔABC is 1/2 or 0.5.
What is scale factor?
The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.
The coordinate points of triangle ABC is -
A(2,6), B(2,2), and C(6,2)
The coordinate points of triangle A'B'C' is -
A'(1,3), B'(1,1), and C'(3,1)
Subtract the coordinate points of A'B'C' from ABC to find the scale factor -
A = (2 - 1, 6 - 3) = (1,3)
B = (2 - 1, 2 - 1) = (1,1)
B = (6 - 3, 2 - 1) = (3,1)
So, it can be seen that to form triangle ABC, the triangle A'B'C' is multiplied by the factor of 2.
A(2,6) = (x/2 , y/2) = A'(1,3)
B(2,2) = (x/2 , y/2) = B'(1,1)
C(6,2) = (x/2 , y/2) = C'(3,1)
Therefore, the scale factor is 1/2 or 0.5.
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From a random sample of potential voters in an upcoming election, 47% indicated they intended to vote for Candidate R. A 95 percent confidence interval was constructed from the sample, and the margin of error for the estimate was 5%.
Which of the following is the best interpretation of the interval?
A) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is between 42% and 52%.
B) We are 95% confident that the proportion who intend to vote for Candidate R from the population is between 42% and 52%.
C) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is 47%.
D) We are 95% confident that the proportion who intend to vote for Candidate R from the population is 47%.
E) We are confident that 95% of the population intend to vote for Candidate R.
We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is between 42% and 52%.
A confidence interval is a range of values that is possible to include the true population parameter, with a certain level of confidence. In this case, the sample proportion of 47% who indicated they intended to vote for Candidate R was used to construct a 95% confidence interval, with a margin of error of 5%.
This means that if we repeated the sampling process many times, 95% of the intervals constructed would contain the true population proportion of those who intend to vote for Candidate R. In other words, we are 95% confident that the true population proportion falls within the interval of 42% to 52%.
Note that the confidence interval does not indicate that we are 95% confident that the sample proportion is 47% or that 95% of the population intends to vote for Candidate R. It only gives us a range of values that is likely to contain the true population proportion, based on the sample data and the level of confidence.
Hence, the correct answer is B.
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15. Determine whether the statement is true or false. NOT MULTIPLE CHOICE!!
a. The graph of f^-1(x) is a reflection of the graph of f(x) over the line y = x.
b. if f^-1(x) is the inverse of f(x), then f(x) must be always be increasing.
c. The function y = x^2 has an inverse.
d. If a function has a y-intercept, then its inverse must also have a y-intercept.
e. If a function has a y-intercept, then its inverse must have an x-intercept.
Answer:
a. True
b. False
c. False
d. False
e. True
Step-by-step explanation:
a. True: The graph of f^-1(x) is a reflection of the graph of f(x) over the line y = x. This is because for any point (x,y) on the graph of f(x), the point (y,x) will be on the graph of f^-1(x), and vice versa.
b. False: The inverse function, f^-1(x) does not have to be always increasing. It depends on the original function, f(x) and its properties, A function could be increasing or decreasing, or it could be a combination of both, or none of them. A function which is strictly increasing is guaranteed to have a unique inverse, but that inverse function may or may not be increasing.
c.False: The function y = x^2 does not have an inverse function. Because it is not a one-to-one function. It is not injective, meaning that it maps multiple input values to the same output value, so it cannot be inverted.
d. False: If a function has a y-intercept, it does not mean that its inverse must also have a y-intercept. A y-intercept is a point at which a function crosses the y-axis, which corresponds to x = 0. However, the inverse function of a function will have its x and y coordinates swapped, so the inverse of a function that crosses the y-axis at a particular point will not cross the x-axis at the same point.
e. True: If a function has a y-intercept, it means that the function crosses the y-axis. But since the inverse function of a function will have its x and y coordinates swapped, the inverse of a function that crosses the y-axis at a particular point will cross the x-axis at the same point.
A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimetres and a width of 3 centimetres. What is the perimeter of the door on a scale drawing that uses the scale 3:5?
A. 33 cm
B. 20 cm
C. 14 cm
D. 12 cm
Answer:
12 cm
Step-by-step explanation:
in the picture