Which of the following statements is true for the following data set?
7, 5, 6, 4, 7, 8, 12
a. Only the mean and median are equal.
b. Only the mean and mode are equal.
c. Only the median and mode are equal.
d. The mean, median, and mode are all equal.
Answer:
D.
Step-by-step explanation:
Mean : 7 + 5 + 6 + 4 + 7 + 8 + 12 = 12 + 10 + 7 + 20 = 30 + 19 = 49. 49/7= 7
Mode : 7.
Median 4 , 4, 6, 7, 7, 8, 12. 7 is the middle number
What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?
Answer:
\(y-2=3(x-4)\)
Step-by-step explanation:
Pre-SolvingWe are given a line contains the point (4, 2).
We also know that the line is parallel to y= 3x - 7.
We want to write the equation of this line.
Parallel lines have the same slopes.
First, let's find the slope of y = 3x - 7.
3 is in the place of where m (the slope) is, so that means it is the slope of that line.
It is also the slope of the line whose equation we want to write.
The equation of the line can be written in three ways:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.
SolvingSubstitute 3 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=3(x-x_1)\)
Now, substitute 4 as \(x_1\) and 2 as \(y_1\).
\(y-2=3(x-4)\)
Topic: parallel and perpendicular lines
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The EOQ model
A) determines only how frequently to order.
B) considers total cost.
C) minimizes both ordering and holding costs.
D) all of the alternatives are correct.
Answer:
B) considers total cost.
Step-by-step explanation:
Economic order quantity (EOQ) is the ideal order quantity a company should purchase to minimize inventory costs such as holding costs, shortage costs, and order costs.
The formula for EOQ is:
Q= √2DS/H
Q=EOQ units
D=Demand in units (typically on an annual basis)
S=Order cost (per purchase order)
H=Holding costs (per unit, per year)
A rectangular plot of land where outdoor concerts are held is about to be enclosed by a fence. How many feet of fence will be needed if the plot is 180 yards on
one side and 220 feet on the other, and requires a 3-foot opening for entrances on two of the four sides?
Answer:nm
Step-by-step explanation:
For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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Which absolute value function defines this graph?
The vertex of the graph is at (-2, 3).
This means the equation is of the form \(f(x)=a|x+2|+3\).
Substituting in the coordinates of one of the other points on the graph that is not the vertex, such as (-1, -1),
\(-1=a|-1+2|+3\\\\-1=a+3\\\\a=-4\)
So, the equation is \(\boxed{f(x)=-4|x+2|+3}\)
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
What is the answer to 69x69?
As gien by the question
There are given that the expression
\(69\times69\)Now,
The value of the given expression is shown below:
\(69\times69=4761\)What is the slope of a line parallel to the line whose equation is 5x-3y=18
Slope and slant both refer to an incline away from a reference surface or line that is generally straight.The definition of slope is "a vertical inclination in an oblique direction"Here, the land abruptly slopes either upward or downhill.
How to Determine a Line's Slope?
slope,The inclination of a line with respect to the horizontal is measured numerically.The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run"). To determine how much the y coordinates have changed, find the difference.To determine how much the x coordinates have changed, find the difference.Find the slope by dividing y by x.
Y=mx+b, where m is the slope and b is the y-intercept, is the slope-intercept form.
y=mx+b
Change the formula to 3y+18=5x.
−3y+18=5x
From both sides of the equation, deduct 18.
−3y=5x−18
Simplify by multiplying each term in 3y=5x18 by 3.
Subtract 3 from each term in 3y=5x18.
−3y/−3=5x/−3+−18/−3
Make the left side simpler.
Tap to take additional steps:Y= -5X/3+-18/-3
Make the right side simpler.
Tap to take additional steps: y=5x/3+6
Write in the form y=mx+b.
Tap to take additional steps: y=5/3x+6
The slope is- 5/3 using the slope-intercept form.
.
m=−5/3
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help me please i beg you
what is 1/3 of -2 what is 1/3 of -2
The result \(\frac{1}{3}\) of -2 is \(-\frac{2}{3}\) or -0.67
To solve the problem above, we can use the formula for operating fractions.
How to calculate it is like when calculating the multiplication and division of integers, but the product of the quantifier and number is then divided by the denominator.
So that,
\(=\frac{1}{3} \times -2\)
\(=\frac{1 \times (-2)}{3}\)
\(=-\frac{2}{3}\)
= -2 ÷ 3
= -0.67
So, the result \(\frac{1}{3}\) of -2 is \(-\frac{2}{3}\) or -0.67
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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Which equation should you solve to find x?
Pls help me I am stuck tysm
a) The initial deposit in the account is given as follows: 1,287.39 euros.
b) The interest rate of the account is given as follows: 3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.Considering the balances after 5 and 6 years, the interest rate is obtained as follows:
r = 1524.60/1480.50 - 1
r = 0.03.
Considering the balance after 5 years, the initial deposit is obtained as follows:
P(1 + 0.03 x 5) = 1480.5
P = 1480.5/1.15
P = 1,287.39 euros.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answer: To determine which statements are true, we can start by putting the equation of the circle in standard form:
x^2 + y^2 - 2x - 8 = 0
(x^2 - 2x) + y^2 = 8
Completing the square for the x-terms, we add and subtract (2/2)^2 = 1:
(x^2 - 2x + 1 - 1) + y^2 = 8
(x - 1)^2 + y^2 = 9
This is the equation of a circle with center (1, 0) and radius 3. Therefore, the following statements are true:
The center of the circle lies on the x-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is 3 units.
The statement "The radius of the circle is 3 units" is true because we just found that the equation is equivalent to (x – 1)² + y² = 9, which has radius 3.
The statement "The center of the circle lies on the y-axis" is false, since the center is (1,0) which lies on the x-axis.
In the diagram a person who is ft tall is standing on the ground ft away from point . A line segment drawn from the top corner of the building to point creates two similar triangles.
The height of the building, using similar triangles, is given by:
36 feet.
What are similar triangles?Similar triangles are two triangles that share these two features, which are listed as follows:
Same angle measures.Proportional side lengths.The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.
From the similar triangles, the equivalent side lengths are presented as follows:
3 ft and 18 ft.6 ft and h ft.Hence the proportional relationship that models this situation is presented as follows:
3/18 = 6/h.
Applying cross multiplication, the height of the building is obtained as follows:
3h = 18 x 6
h = 6 x 6 (simplifying by 3)
h = 36 feet.
Missing InformationThe diagram is given by the image shown at the end of the answer.
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Solve them please give Brainly
Answer:
1) x = 0, 2) u = 5, 3) h = - 7, 4) n = 2, 5) x = 8, 6) r = 7--------------------------------------
Solve given equationsSteps should be self-explanatory. Happy to explain if anything is not clear.
Question 14x + 7 = 74x = 7 - 74x = 0x = 0Question 23(u + 4) = 27u + 4 = 27/3u + 4 = 9y = 9 - 4u = 5Question 3- 20 = 10(h + 5)-20/10 = h + 5- 2 = h + 5h = - 2 - 5h = - 7Question 4- 10 = (n - 52) / 5- 10*5 = n - 52- 50 = n - 52n = - 50 + 52n = 2Question 548/x - 3 = 348/x = 3 + 348/x = 6x = 48/6x = 8Question 68r = 2r + 428r - 2r = 426r = 42r = 42/6r = 7Answer:
v = 0u = 5h = -7 n = 2 x = 8 r = 7Step-by-step explanation:
1) 4v + 7 = 7, for v?
→ 4v + 7 = 7
→ 4v = 7 - 7
→ v = 0/4
→ [ v = 0 ]
2) 3(u + 4) = 27, for u?
→ 3(u + 4) = 27
→ 3u + 12 = 27
→ 3u = 27 - 12
→ u = 15/3
→ [ u = 5 ]
3) -20 = 10(h + 5), for h?
→ -20 = 10(h + 5)
→ 10h + 50 = -20
→ 10h = -20 - 50
→ h = -70/10
→ [ h = -7 ]
4) -10 = (n - 52)/5, for n?
→ -10 = (n - 52)/5
→ n - 52 = -10 × 5
→ n = -50 + 52
→ [ n = 2 ]
5) (48/x) - 3 = 3, for x?
→ (48/x) - 3 = 3
→ 48/x = 3 + 3
→ 6x = 48
→ x = 48/6
→ [ x = 8 ]
6) 8r = 2r + 42, for r?
→ 8r = 2r + 42
→ 8r - 2r = 42
→ r = 42/6
→ [ r = 7 ]
These are required values.
Assume that when adults with smartphones are randomly selected 42% use them in meetings or classes. If 30 adult smartphones users are randomly selected find the probability that exactly 18 of them use their smartphones in meetings or classes
0.0095 is the probability that exactly 18 of them use their smartphones in meetings or classes.
How does probability explain work?
In a random experiment, probability is the indicator of how likely an occurrence is to take place. A number between 0 and 1 is used to quantify probability, with 1 roughly corresponding to certainty and 0 roughly indicating impossibility. The likelihood that an event will occur increases with its probability.Given that ,
p = 0.42
1 - p = 1 - 0.42 = 0.58
n = 30
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 19 ) = (30 C 19) * (0.42)19 * (0.58)11
= 0.009481
Probability = 0.0095
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How many terms does the expression contain?
4x2 + 3y – 2x2
A. two
B. three
C. four
D. five
Answer:
d
Step-by-step explanation:
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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finding the coefficient of an algebra equation
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)?
Answer:
Step-by-step explanation:
i hope you get this helpfull to get answer of this question take the qr code and scan it then you will get the answer
The point (–7, 1) when reflected across the origin maps ontoQuestion 1 options:A) (7, –1).B) (7, 1).C) (–1, 7).D) (1, –7).
Given the point:
\(\mleft(-7,1\mright)\)You know that it must be reflected across the Origin.
Then, it is important to remember that the rule for this type of translation is the following:
\((x,y)\rightarrow\mleft(-x,-y\mright)\)Therefore, knowing this rule, you can find the Image of the point given in the exercise by applying it:
\((-7,1)\rightarrow(7,-1)\)Hence, the answer is: Option A.
A trawler A is 40km west of another trawler B. A set off at 20kmh travel at 25kmh. What course should trawler B take to intercept trawler A
Trawler B should take a course that is 18 degrees east of north.
How to explain the angleIn order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.
Here are the steps to find the course that Trawler B should take:
Draw a diagram of the situation.
Label the two trawlers A and B.
Draw a line representing the direction that Trawler A is traveling.
Draw a line representing the direction that Trawler B should travel.
Measure the angle between the two lines.
The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.
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a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 square inches write an equation you can use to find the width in inches
Answer:
Step-by-step explanation:
Just give me the answer
Determine the domain of the function F(x) =2-x/12x^2+8x
Alex wishes to have R30000.00 available to buy a car in four years' time. The bank pays 9.75%.interest per year, compounded semi-anmually. How much should he invest in a savings account now so that he will be able to do this?
what is bird flu? when was it first detected among human?
Estimate the solution to the following system of equations by graphing
3x+5y=14
6x - 4y=9
Answer choices:
• (5/2, 4/3)
• ( 4/3, 5/2)
• ( 7/3 , -7/2)
• (-5/2 , -7/2)
The solution of Equation are (5/2, 4/3).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+5y=14..........(1)
6x - 4y=9..............(2)
Solving equation (1) and (2) we get
3x + 5y = 14
Subtract 3x from both sides.
5y = 14 - 3x
Divide by 5 on both sides.
y = -3/5x + 14/5
and, 6x - 4y = 9
Subtract 6x from both sides.
-4y = 9 - 6x
Divide by -4 on both sides.
y = 3/2x - 9/4
From the graph we get
x = 2.405
y= 1.375
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One hundred forty percent of 310 is what number?
Answer:
434
Step-by-step explanation:
We can think of this problem like this:
\(\frac{percentage}{100} * number = newnumber\)
in this case, our percentage is 140, and our number is 310.
So lets plug in our values and solve!
\(\frac{140}{100} * 310 = newnumber\)
=
\(1.4*310 = newnumber\)
=
\(1.4*310 = 434\)
Hope this helps! :3
Note:
This formula can be changed depending on what your trying to find.
For instance, if you had one hundred and forty percent of what number is 310, we could rewrite this formula as:
\(\frac{100}{percentage}*number=newnumber\)
Which then would equal
\(\frac{100}{140}*310= \frac{310}{1.4}= 221.43\)
Hope this all helps! :3
if you have any other questions, feel free to let me know!
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values