The equation is solved as x = −89.5. The correct option is 1.
What is a mathematical equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
To solve the equation −0.18x − 13.7 = 2.41 for x, we need to isolate x on one side of the equation by adding 13.7 to both sides and then dividing by −0.18:
−0.18x − 13.7 = 2.41
−0.18x = 2.41 + 13.7
−0.18x = 16.11
x = 16.11 / (−0.18)
x = −89.5
Therefore, the solution to the equation is x = −89.5. the correct option is 1.
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Inverse of the function
Answer:
f -1
Step-by-step explanation:
the inverse of a function (f) is denoted by f -1 and exsists only when f is both one to one and onto function.
3x + 18 > 54 solve the inequality? pls help?
Answer:
x > 12
Step-by-step explanation:
3x + 18 > 54
Simplify (3x3y2 − 5xy4 − 2xy) + (2x3y2 + 5xy4 + 3xy).
5x3y2 − 2xy4 + xy
5x3y2 − 2xy4 − 5xy
5x3y2 + xy
5x3y2 − xy
Answer:
the first one: 5x3y2 - 2xy4 +xy
Step-by-step explanation:
hope it helps :)
The slope of one line is a, where a is a positive number. A second line is perpendicular to the hirst line. Which word best describes the slope of the second line? Type positive, negative, or zero.
The slope of the second line is also positive, as it is parallel to the first line which has a positive slope.
What is slope?Slope is a measure of how steep a line is, and is defined as the ratio of the change in the y-coordinate (vertical change) to the change in the x-coordinate (horizontal change) between any two points on the line. It represents the rate at which the line is rising or falling as it moves from left to right. Slope can be positive, negative, or zero. A positive slope indicates that the line is increasing as it moves from left to right, a negative slope indicates that the line is decreasing as it moves from left to right, and a zero slope indicates that the line is horizontal.
Here,
When two lines are parallel, they have the same slope. In this case, the first line has a positive slope of "a," which means that it is increasing as it moves from left to right. Since the second line is parallel to the first line, it will also have the same slope as the first line. Therefore, the slope of the second line will also be positive, indicating that it is increasing as it moves from left to right.
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jacobi measured the diagonals of three tv screens as 5 square roots of 84 inches, 46 2/3 inches, and 46.625 inches. which shows the length of the diagonals in ascending order
The length of the diagonals in ascending order is: 140/3 inches
What is algebra?Algebra is a branch of mathematics that deals with mathematical operations and symbols to represent numbers and their relationships. It involves the use of variables, which are letters or symbols that represent unknown or unspecified quantities, and manipulating equations and expressions to solve problems.
To compare the lengths of the diagonals of the three TV screens, we can simplify each expression and put them in order:
5 square roots of 84 inches
= 5 * √(4 * 21) inches
= 10 * √(21) inches
46 2/3 inches
= 140/3 inches
46.625 inches
Therefore, the length of the diagonals in ascending order is:
46.625 inches < 140/3 inches < 10 * √(21) inches
Note that we can also write the second diagonal as a mixed number, which is the form of a whole number and a fraction:
140/3 inches
= 46 2/3 inches
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Two functions are shown below.
Function 1: Jay rides the subway each workday for a month. He spends $5.50 each day that he rides the subway.
Function 2: Keisha has a bike share membership. She rides an e-bike to work. The equation E = 8.25 + 1.50d represents Keisha's bike expenses each month, where
d represents the number of days she rides.
Which function has the greatest rate of change?
A. Function 1
B. Function 2
C. The functions have the same rate of change.
D. The rate of change cannot be determined for either function.
Comparing the rates of change, we can see that Function 2 has a greater rate of change than Function 1. Therefore, the answer is (B) Function 2.
What is the rate of change?
The rate of change is the amount of change in the output (dependent variable) for a given change in the input (independent variable).
In this case, the input is the number of days ridden, and the output is the cost of transportation for a month.
For Function 1, the cost is $5.50 per day. Therefore, the rate of change is $5.50 per day.
For Function 2, the equation E = 8.25 + 1.50d represents the cost of transportation for a month, where d is the number of days ridden. The rate of change is the coefficient of d, which is $1.50 per day.
Hence, Comparing the rates of change, we can see that Function 2 has a greater rate of change than Function 1. Therefore, the answer is (B) Function 2.
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A curved ladder that children can climb on can be modeled by the equation y=-1/20x^2+x where x and y are measured in feet. Make a table of values that shows the height of the ladder for x = 0, 5, 10 , 15, and 20 feet from the left end
The values of x and y of a curved ladder in feet given by the equation y=-1/20x^2+x are as follows in tabular form,
Values of x (in feet) Values of y (in feet)
0 0
5 3.75
10 5
15 3.75
20 0
A curved ladder that children can climb on is modeled by the system of equations as,
y=-(1/20)x^2+x
where, x and y are measured in feet.
Putting x= 0 in the above equation y=-(1/20)x^2+x , we get,
y = - (1/20) (0^2) + (0) = 0
Putting x= 5 in the above equation y=-(1/20)x^2+x , we get,
y= - (1/20)(5^2)+(5) = -5/4 + 5 = 15/4 = 3.75
Putting x= 10 in the above equation y=-(1/20)x^2+x , we get,
y= - (1/20)(10^2)+(10) =-5 +10 = 5
Putting x= 15 in the above equation y=-(1/20)x^2+x , we get,
y= - (1/20)(15^2)+(15) = -45/4 +15= 3.75
Putting x= 20 in the above equation y=-(1/20)x^2+x , we get,
y= - (1/20)(20^2)+(20) = -20 +20 = 0
Hence, when x= 0 feet, y = 0 feet ; x= 5 feet, y = 3.75 feet ; x = 10 feet, y = 5 feet ; x =15 feet , y =03.75 feet ;and x = 20feet, y = 0 feet from the solving the given equation.
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What is the total surface area of the figure shown?
The total surface area of the given figure is 619.2 in², which is not listed in the provided options.
Give a brief account on total surface area.The surface area is known to be measure of the total area occupied by the surface of the object. Defining the surface area mathematically in the presence of a curved surface is better than defining the arc length of a one-dimensional curve, or the surface area of a polyhedron (i.e. an object with flat polygonal faces). Much more complicated. For a smooth surface sphere such as the following, surface area is assigned using representation as a parametric surface. This surface definition is based on calculus and includes partial derivatives and double integrals.
The triangular face of the given figure represent an equilateral triangle of sides 12 in.
Area of the triangle = (√3/4) × a²
Area of the triangular face:
= (√3/4) × 12²
= (√3/4) × 144
= 57.6 in²
Area of the rectangle = Length × width
Area of the rectangular face:
= 12 × 14
= 168 in²
Area of the given figure:
= (2 × 57.6) + (3 × 168)
= 115.2 + 504
= 619.2 in²
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Figure LMNO is a reflection of HIJK. Which angle is congruent to ZH?
The angle formed by this intersection point and the corresponding point on LMNO is congruent to ZH.
In this case, we have two figures, LMNO and HIJK, and we know that LMNO is a reflection of HIJK. This means that there is an axis of reflection that maps HIJK onto LMNO.
When a shape is reflected across a line of symmetry, its angles are preserved. That is, if two angles in the original shape are congruent, then their images in the reflected shape are also congruent.
In this case, ZH is an angle in HIJK, and we want to find the angle in LMNO that corresponds to it. To do this, we need to find the line of symmetry that maps HIJK onto LMNO.
Once we have identified this line, we can draw the perpendicular bisector of ZH and find where it intersects the line of symmetry. The angle formed by this intersection point and the corresponding point on LMNO is congruent to ZH.
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flip a coin three times. you will win $2 for each heads. what is the expected winning (expec- tation of your winning)? a
The expected winning is $2.
To calculate the expected winning, we need to find the probability of each outcome and multiply it by the amount we will win in that outcome.
There are 2 possible outcomes for each coin flip: heads or tails. Therefore, there are 2x2x2=8 possible outcomes for flipping a coin three times.
Here are all the possible outcomes with the number of heads in each outcome:
HHH (3 heads)HHT (2 heads)HTH (2 heads)THH (2 heads)HTT (1 head)THT (1 head)TTH (1 head)TTT (0 heads)The probability of each outcome can be calculated using the formula: probability = (number of favorable outcomes) / (total number of possible outcomes)
For example, the probability of getting 3 heads (HHH) is 1/8 because there is only one favorable outcome out of 8 possible outcomes.
Using this formula, we can calculate the probability and expected winning for each outcome:
HHH: probability = 1/8, expected winning = $6HHT: probability = 1/4, expected winning = $4HTH: probability = 1/4, expected winning = $4THH: probability = 1/4, expected winning = $4HTT: probability = 3/8, expected winning = $2THT: probability = 3/8, expected winning = $2TTH: probability = 3/8, expected winning = $2TTT: probability = 1/8, expected winning = $0To calculate the overall expected winning, we need to add up the expected winning for each outcome multiplied by its probability:
(1/8) x $6 + (1/4) x $4 + (1/4) x $4 + (1/4) x $4 + (3/8) x $2 + (3/8) x $2 + (3/8) x $2 + (1/8) x $0 = $2
Therefore, the expected winning is $2.
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Find the missing measures.
The value of the missing angles are:
w = 109°
x = 39°
y = 141°
z = 109°
How to find the measure of the missing angles?In geometry, we know that the sum of angles on a straight line is 180 degrees. Thus:
w = 180 - 71
w = 109°
We know that alternate angles are formed when two parallel lines are cut by a transversal. Thus:
x = 39°
y = 180 - 39
y = 141°
Similarly:
z = 180 - 71
z = 109°
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how would you define the actual score and theoretical score on an exam, and how would you calcutre the percent success
To determine the percent success, divide the actual score by the theoretical score, and then multiply the result by 100 to convert the value to a percentage.
We define the actual score, theoretical score, and explain how to calculate the percent success on an exam.
Actual score:
The actual score refers to the number of points a student has earned on an exam.
It represents the student's performance on the test, taking into account the correct and incorrect answers.
Theoretical score:
The theoretical score is the maximum number of points a student can earn on an exam.
This represents a perfect performance, where the student answers all questions correctly.
Calculating percent success:
To determine the percent success, divide the actual score by the theoretical score, and then multiply the result by 100 to convert the value to a percentage.
a. Divide the actual score by the theoretical score: (actual score) / (theoretical score)
b. Multiply the result by 100: (result from step a) * 100
c. The final value is the percent success.
For example, if a student has an actual score of 80 and the theoretical score is 100, the percent success would be calculated as follows:
a. 80 / 100 = 0.8
b. 0.8 * 100 = 80
c. The percent success is 80%.
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a researcher has collected the following sample data. the mean of the sample is 5. 3 5 12 3 2 the coefficient of variation is . a. 81.24% b. 72.66% c. 330% d. 264%
The mean of the sample is 5, 3, 5, 12, 3, 2 the coefficient of variation is 91%. Option A is the correct answer.
To calculate the coefficient of variation, first, we need to calculate the standard deviation and mean of the sample.
The mean of the sample is (3 + 5 + 12 + 3 + 2)/5 = 5.
To find the standard deviation, we first need to calculate the variance. The variance can be found by taking the sum of the squared differences between each data point and the mean, dividing by the sample size minus one, and then taking the square root.
The variance is ((3-5)² + (5-5)² + (12-5)² + (3-5)² + (2-5)²)/4 = 20.5.
The standard deviation is the square root of the variance, which is approximately 4.53.
Finally, we can calculate the coefficient of variation by dividing the standard deviation by the mean and multiplying by 100%.
Coefficient of variation = (4.53/5) x 100% = 90.6%.
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The question is -
A researcher has collected the following sample data. The mean of the sample is 5, 3, 5, 12, 3, 2 the coefficient of variation is?
a. 91%
b. 72.66%
c. 330%
d. 264%
Need help!! Xxxxxxxx
The amount of people infected after t weeks is modeled by the function presented as follows:
[tex]f(t) = \frac{675000}{1 + 4000e^{-t}}[/tex]
When the epidemic began, we have that t = 0, hence the number of people is given as follows:
f(0) = 675,000/(1 + 4000)
f(0) = 169 people.
Six weeks after the epidemic began, we have that t = 6, hence the number of people is given as follows:
f(6) = 675,000/(1 + 4000 x e^(-6))
f(6) = 61,841 people.
The limiting size of the infected population is the numerator of the fraction, which is 675,000, as the denominator goes to zero when t goes to infinity.
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Find the surface area of the sphere. Use 3.14 for pi.
sphere is 7 yd
in the regression of the general fertility rate (gfr) on the tax personal exemption (pe) and its first lag the fitted regression is: what is the impact propensity?
The impact propensity can be interpreted as the slope coefficient for the tax personal exemption (pe) or its first lag in
the regression equation.
To determine the impact propensity in the regression of the general fertility rate (GFR) on the tax personal exemption
(PE) and its first lag, you should follow these steps:
Estimate the regression model using the available data. The model should look like this:
GFR = β0 + β1 × PE + β2 × PE_lag + ε
Where GFR is the general fertility rate, PE is the tax personal exemption, PE_lag is the tax personal exemption's first
lag, and ε is the error term.
Obtain the estimated coefficients (β0, β1, and β2) from the fitted regression model.
These coefficients will help you determine the impact propensity.
Calculate the impact propensity. The impact propensity in this context refers to the change in the general fertility rate
resulting from a one-unit increase in the tax personal exemption, taking into account both its current and lagged
effects.
To find the impact propensity, sum the coefficients for the tax personal exemption and its first lag:
Impact propensity = β1 + β2
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of the cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 1.4% have both a puncture and a smashed corner. find the probability that a randomly selected carton has a puncture or a smashed corner.
The probability that a randomly selected carton has a puncture or a smashed corner is 0.076, or 7.6%.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
To find the probability that a randomly selected carton has a puncture or a smashed corner, we can use the formula:
P(puncture or smashed corner) = P(puncture) + P(smashed corner) - P(puncture and smashed corner)
where P(puncture) is the probability of a carton having a puncture, P(smashed corner) is the probability of a carton having a smashed corner, and P(puncture and smashed corner) is the probability of a carton having both a puncture and a smashed corner.
Substituting the given probabilities into the formula, we get:
P(puncture or smashed corner) = 0.03 + 0.06 - 0.014
P(puncture or smashed corner) = 0.076
Therefore, the probability that a randomly selected carton has a puncture or a smashed corner is 0.076, or 7.6%.
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HELP ME PLEASE I NEED TO TURN IN MY ASSIGNMENT NOW!!!!!!!!! 30 POINTSSS
SOLVE FOR Y
2y + 8 1/5 = 33
SOLVE FOR N
2n + 4 1/5 = 9
Therefore, y is equal to 12 2/5 and n is equal to 2 2/5 in the equation.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. An equation is typically written with an equal sign (=) between two expressions. Equations can involve various mathematical operations, such as addition, subtraction, multiplication, division, exponents, and logarithms. Solving an equation typically involves performing mathematical operations on both sides of the equation to isolate the variable (the unknown value) and find its value.
Here,
To solve for y in the equation 2y + 8 1/5 = 33, we can follow these steps:
Subtract 8 1/5 from both sides of the equation:
2y = 33 - 8 1/5
2y = 24 4/5
Divide both sides of the equation by 2:
y = (24 4/5) / 2
y = 12 2/5
Therefore, y is equal to 12 2/5.
To solve for n in the equation 2n + 4 1/5 = 9, we can follow these steps:
Subtract 4 1/5 from both sides of the equation:
2n = 9 - 4 1/5
2n = 4 4/5
Divide both sides of the equation by 2:
n = (4 4/5) / 2
n = 2 2/5
Therefore, n is equal to 2 2/5.
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Use substitution to sole the system of equations
Answer:
(0, 0)
(4, 16)
Step-by-step explanation:
[tex]y = 4x[/tex]
[tex]y = x^2[/tex]
Using substitution, we can replace y in the second equation with 4x from the first equation.
[tex]4x = x^2[/tex]
Now, we can move all the x's to one side and complete the square to solve for x.
[tex]0 = x^2 - 4x[/tex]
↓ adding 4 to both sides
[tex]4 = x^2 - 4x + 4[/tex]
↓ factoring the right side
[tex]4 = (x-2)^2[/tex]
↓ taking the square root of both sides
[tex]\sqrt4 = \sqrt{(x-2)^2[/tex]
[tex]\pm2 = x - 2[/tex]
↓ adding 2 to both sides
[tex]2 \pm 2 = x[/tex]
[tex]\boxed{x = 0 \ \ \ \text{or} \ \ \ x = 4}[/tex]
Then, we can solve for y by plugging both x-values into the first equation.
[tex]y = 4(0)[/tex] or [tex]y = 4(4)[/tex]
[tex]\boxed{y = 0 \ \ \ \text{or} \ \ \ y=16}[/tex]
Finally, we can form two ordered pairs that are the solutions to the system of equations.
[tex]\boxed{(0,0)}[/tex]
[tex]\boxed{(4,16)}[/tex]
A local doctor’s office logged the number of patients seen in one day by the doctor for ten days. Find the mean, median, range, and midrange of the number of patients seen in ten days.
27, 31, 27, 35, 35, 25, 28, 35, 33, 24
Calculate the mean, median, range, and midrange of the number of patients seen in ten days.
Answer:
Step-by-step explanation:
Medium is 28
Mean is 29
Range is 11
Midrange is 29.5
A recent conference had 900 people in attendance. In one exhibit room of 80 people, there were 65 teachers and 15 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 820 principals in attendance.
There were about 731 principals in attendance.
There were about 208 principals in attendance.
There were about 169 principals in attendance.
The answer is: There were about 169 principals in attendance.
what is proportion?
In mathematics, a proportion is an equation that states that two ratios or fractions are equal. A proportion can be written in the form of a/b = c/d, where a, b, c, and d are numbers or variables.
Proportions are used to compare two or more quantities or to find an unknown value. For example, if we know that the ratio of the length of a rectangle to its width is 2:1, and we also know that the length is 6 feet, we can use a proportion to find the width. We set up the proportion as 2/1 = 6/w, where w is the width of the rectangle, and then solve for w by cross-multiplying and simplifying the equation.
Proportions are also used in many real-world applications, such as cooking, finance, and science.
To make a prediction about the number of principals in attendance at the conference, we need to use the given information and make some assumptions.
We know that in one exhibit room of 80 people, there were 15 principals. Let's assume that this exhibit room is representative of the entire conference, and that the proportion of principals to attendees in this room is the same as the proportion of principals to attendees in the entire conference.
Using this assumption, we can set up a proportion:
15 principals / 80 attendees = x principals / 900 attendees
To solve for x, we can cross-multiply and simplify:
15 * 900 = 80 * x
x = (15 * 900) / 80 = 168.75
So our prediction is that there were about 169 principals in attendance at the conference.
Therefore, the answer is: There were about 169 principals in attendance.
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The distance between two cities on a map is 17 centimeters. The scale on the map relates 5 centimeters on the map as 30 miles on the road. What is the actual distance, in miles, between the two cities?
Answer: 102 miles.
Step-by-step explanation:
You divide 17 by 5 and then multiply by 30.
please help and explain and show your work on how you got the answer. I WILL MARK YOU BRAINLIEST
Answer:
Step-by-step explanation:
it is -2
Answer: -2
Step-by-step explanation:
So this is asking for the cube root of -8.
This is the same as asking what is multiplied by itself 3 times to get -8.
-2 * -2 *-2 = -8
You can also use a calculator.
Another way to solve it is to write -8^(1/3).
Hope this helps!!!
In ΔUVW, w = 1. 4 cm, m m∠W=63° and m m∠U=29°. Find the length of v, to the nearet 10th of a centimeter
The length of v, to the nearest 10th of a centimeter is 2.2.
To find the length of side v in triangle UVW, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle.
Using this formula, we have,
v/sin(m∠V) = w/sin(m∠W)
We know that w = 1.4 cm and m∠W = 63°. To find sin(m∠W), we can use a calculator,
sin(63°) ≈ 0.89
Substituting the values we know into the formula, we get,
v/sin(m∠V) = 1.4/0.89
To solve for v, we need to find sin(m∠V). We know that the sum of the angles in a triangle is 180°, so we can find m∠V by subtracting the measures of the other two angles from 180°,
m∠V = 180° - m∠U - m∠W
m∠V = 180° - 29° - 63°
m∠V = 88°
Now, we can substitute the value of sin(m∠V) into the equation and solve for v,
v/ sin(88°) = 1.4/0.89
v ≈ 2.2 cm
Therefore, the length of side v in triangle UVW is approximately 2.2 cm to the nearest tenth of a centimeter.
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Answer:
1.6
Step-by-step explanation: This is answer on DeltaMath
A brick has a mass of 2,022.75 grams and a volume of 1,064.5 cubic centimeters.
What is the density of the brick, in grams per cubic centimeter (³) ²¹
g
cm
3
Round your answer to the nearest tenth.
Answer:
To find the density of the brick, we need to divide its mass by its volume:
density = mass / volume
Plugging in the values given in the problem, we get:
density = 2,022.75 g / 1,064.5 cm³
Simplifying the division, we get:
density = 1.8996 g/cm³
Rounding to the nearest tenth, we get:
density ≈ 1.9 g/cm³
Therefore, the density of the brick is approximately 1.9 grams per cubic centimeter (g/cm³).
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mean is the best measure of center because there are no outliers present.
The mean is the best measure of center because there are outliers present.
The median is the best measure of center because there are no outliers present.
The median is the best measure of center because there are outliers present.
hurry
The median is the best measure of center because there are no outliers present.
How to solveIn the given line plot, we have the following data points for the cost of used books in dollars:
1 at $2, 1 at $4, 3 at $3, 1 at $8, 2 at $6, 2 at $7, and 1 at $9.
To decide which measure of center is most appropriate, let's first understand the difference between the mean and the median.
Mean: The mean is the sum of all the data points divided by the number of data points. It is sensitive to outliers, which means that if there are extreme values in the data, the mean can be significantly affected.
Median: The median is the middle value of a dataset when the data points are arranged in ascending order. If there are an even number of data points, the median is the average of the two middle values. The median is less sensitive to outliers, making it a more robust measure of center when extreme values are present.
Now, let's examine the given data for any outliers. There doesn't seem to be any extreme values in the data; the costs are fairly close together. However, the data is slightly skewed to the right, which means there is a higher concentration of lower values.
In this case, the median would be a better measure of center because it is less sensitive to the skewed distribution.
To find the median, first, arrange the data in ascending order:
$2, $3, $3, $3, $4, $6, $6, $7, $7, $8, $9
There are 11 data points, so the middle value is the 6th data point:
Median = $6
Thus, the median is the most appropriate measure of center for this data, and the median cost of used books is $6.
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what are the odds of throwing three dice together, that exactly two of the three resulting numbers will match?
As three dice are thrown together and the probability of any two of them being the same will be 5/12.
When a dice is thrown there are 6 possible outcomes. So, when three dice are thrown, the number of outcomes will be 6× 6× 6 = 216.
The probability of a number repeating = ₆C₂ = (6×5)/2 = 15
So each number will have possible 15 outcomes.
6 numbers will have 6 × 15 outcomes = 90 outcomes
So probability = Number of desired outcomes/ total number of outcomes = 90 / 216 = 5/12
So the probability of any two number matches when three dices are thrown together will be 5/12.
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URGENT!! Will give brainliest :)
What is the equation for the line of best fit for the following data? Round the slope and -intercept of the line to three decimal places.
A. y=-0.580×+ 10.671
B. y=-10.671 x+ 0.580
C. y= 10.671 x-0.580
D. y= 0.580x - 10.671
To find the equation for the line of best fit, we can use linear regression. Based on the given data:
x: 2, 5, 7, 12, 16
y: 9, 10, 5, 3, 2
The equation for the line of best fit would be in the form: y = mx + b, where m is the slope and b is the y-intercept.
Using a calculator or statistical software, we can calculate the slope and y-intercept for the line of best fit.
The result is:
Slope (m): -0.580 (rounded to three decimal places) Y-intercept (b): 10.671 (rounded to three decimal places)
So, the correct answer is:
A. y = -0.580x + 10.671
please someone help and give answers !!!
16.) Mean average deviation= option C
17.) Range of a data set = option E.
18.) First quartile = opinion AB
19.) Second quartile = option B
20.) Third quartile = option A
21.) Interquartile range = option D
How to determine the measures of the spread?
To determine the measures of the spread is to match their various definitions to the correct measures given such as follows:
16.) Mean average deviation: The average deviation of data from the mean.
17.) Range of a data set : The difference between the highest value and the lowest value in a numerical data set.
18.) First quartile: The median in the lower half.
19.) Second quartile: The median value in a data set.
20.) Third quartile: The median in the upper half.
21.) Interquartile range: The distance between the first and the third quartile.
Learn more about range here:
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4y = -x - 32 (Show work)
Answer: the solution for y in terms of x is y = (-1/4)x - 8.
Step-by-step explanation: In order to obtain a solution for y in the given equation of 4y = -x - 32, it is imperative to achieve the isolation of y on a singular side of the equation. To accomplish this task, it is possible to perform division on both sides of the equation by a factor of 4:
The given equation 4y/4 = (-x - 32)/4 can be expressed in an academic manner as follows: The given equation reveals that the quotient of 4y divided by 4 is equivalent to the quotient of the opposite of x added to negative 32, also divided by 4.
Upon performing simplification, the expression on the right-hand side yields:
The equation y = (-1/4)x - 8 can be expressed in an academic manner as follows: The dependent variable y is equivalent to the product of the constant (-1/4) and the independent variable x, with an additional decrement of eight.