Explained the quotient property "one of the properties of logarithms, the division becomes subtraction" has been explained with an example
In one of the properties of logarithms, the division becomes subtraction. That is the quotient property of the logarithm
Consider the two positive numbers x and y and a ≠ 0
Then,
[tex]log_a[/tex] (m /n) = [tex]log_a[/tex] m - [tex]log_a[/tex] n
Here division became the subtraction
For example
To find the value of [tex]log_2[/tex] (15/ 7) we will use the quotient property of logarithm, here the division of the numbers will be subtraction
[tex]log_2[/tex] (15 / 7) = [tex]log_2[/tex] 15 - [tex]log_2[/tex] 7
Therefore, the quotient property of the logarithm has been explained with example
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Write the equation of the line that passes through the points (-5, 9) and (8,-9).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answer:
y - 9 = -18/13(x + 5)
Step-by-step explanation:
Scientists have found a relationship between the temperature and the height above a distant planet's surface. T(h), given below, is the temperature in Celsius at a height h kilometers above the planet's surface. The relationship is as follows:
T(h)=41−1.25h.
Let T^−1 be the inverse function of T. Take x to be the output of the function T.
a) Explain the meaning of T^−1(x).
b) Find T−1(x).
c) Find T−1(30)
.
a) The inverse function is obtained by rearranging the variables for temperature and height in the given equation.
b) T⁻¹(x) =41-x/1.25
c) T⁻¹(30) =8.8
The given function is T(h)=41- 1.25h, so the inverse of a function is just obtained by rearranging the variables for height and temperature, the variable of temperature is replaced by height and vice versa. for the second
T(h)=41- 1.25h, considering h= x
=>T(x)=41- 1.25x
setting T(x)=x and x= T(x), we get
41- 1.25T(x) =x
=>1.25T(x) =x -41
=>T(x) =x- 41/ 1.25
now setting T(x)= T⁻¹ (x) we get : T⁻¹ (x) =41-x/1.25
For T⁻¹(30) =41-30/1.25= 11/1.25 =8.8
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Find the coordinates of the circumcenter of the triangle with the given vertices.
2. R(-2,5), S(-6, 5), T(-2,-1)
P(4, 7.25) are the coordinates of circumcentre of the triangle
How to find the coordinates of the circumcenter of a triangle
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect
Given: The vertices R(-2,5), S(-6, 5), T(-2,-1)
Let P(x,y) be the circumcentre of triangle. Then,
PR = PS = PT
PR² = PS²
(x-(-2))² + (y-5)² = (x-(-6))² + (y-5)²
(x+2)² + (y-5)² = (x+6)² + (y-5)²
x²+4x+4 + y²-10y+25 = x²+12x+36 + y²-10y+25
12x-4x = 36 -4
8x = 32
x = 32/8 = 4
Also, PS² = PT²
(x-(-6))² + (y-5)² = (x-(-2))² + (y-(-1))²
(x+6)² + (y-5)² = (x+2)² + (y+1)²
x²+12x+36 + y²-10y+25 = x²+4x+4 + y²+2y+2
12x-4x-10y-2y = 4+2-36-25
8x-12y = -55 .......(1)
put x= 4 into (1):
8x-12y = -55
8(4)-12y = -55
32 -12y = -55
-12y = -55-32
-12y = -87
y = 7.25
Therefore, the coordinates of circumcentre of the triangle are P(4, 7.25)
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longobardi corporation bases its predetermined overhead rate on the estimated labor- hours for the upcoming year. at the beginning of the most recently completed year, the corporation estimated the labor-hours for the upcoming year at 46,000 labor- hours. the estimated variable manufacturing overhead was $6.25 per labor-hour and the estimated total fixed manufacturing overhead was $1,026,260. the actual labor- hours for the year turned out to be 41,200 labor-hours. the predetermined overhead rate for the recently completed year was closest to:______.
The predetermined overhead rate for the recently completed year was closest to $28.56 par labor - hour.
What is Labor - hour?
4 to 8 hours or more are typical for active labor. Your cervix will expand on average at a rate of 1 cm per hour. What you can do: Seek encouragement and support from your labor partner and your medical team. To ease your discomfort, try deep breathing and relaxation exercises.
Given:
Longobardi corporation bases its predetermined overhead rate on the estimated labor- hours for the upcoming year.
At the beginning of the most recently completed year, the corporation estimated the labor-hours for the upcoming year at 46,000 labor- hours.
The estimated variable manufacturing overhead was $6.25 per labor-hour and the estimated total fixed manufacturing overhead was $1,026,260.
The actual labor- hours for the year turned out to be 41,200 labor-hours.
Estimated total manufacturing overhead
= $1,026,260 + ($6.25 per labor- hour X 46,000 labor - hours)
= $1,313,760
Predetermined overhead rate
= $1,313,760 / 46,000 labor-hours
= $28.56 per labor-hour
Hence, the predetermined overhead rate for the recently completed year was closest to $28.56 par labor - hour.
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he radius of a circle is 12 m. Find its circumference in terms of pi
Answer:
24π m
Step-by-step explanation:
r = 12 m
C = 2πr
C = 2 × π × 12 m
C = 24π m
Scale: 4 inches = 21 miles If the drawing length is 13 inches, what is the actual length?
Answer:
Step-by-step explanation:
do 21 ÷ 4 = 5.25
Now we have 5.25 miles for each inch. So all we have to do is multiply 5.25 by 13 to find the answer:
5.25 × 13 = 68.25
Let me know if this helped!
mark spent a total of $12.33 on 9 oranges and a packet of strawberries. if the packet of strawberries costs $2.88 how much did each orange cost
Answer: $1.05 per orange
Step-by-step explanation:
12.33 - 2.88 = 9.45
9.45 ÷ 9 = 1.05
chandler's monthly cell phone plan costs $20 plus $5 per gigabyte of data that he uses. what does that look like in slope- intercept form to represents this linear function
The required linear function in slope intercept form is C = 5x + 20
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan \theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Let Chandler uses x gigabytes of data and let Chandler's monthly cell phone plan cost be C
Chandler's monthly cell phone plan costs $20 plus $5 per gigabyte of data that he uses
So,
C = 20 + 5x
C = 5x + 20
This is the required linear function in slope intercept form
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8-1/3x=16 what does the x equal
Answer:
8 - 1/3x = 16
8-8 - 1/3x = 16-8
-1/3x=8
8/-(1/3)= -24
x= -24
Step-by-step explanation:
8- 1/3(-24)=16
Cara throw the ame dice three time. Find the probability that Cara doe not throw a ix until her third throw
Cara has a 25/216 chance of waiting until her third throw before throwing a six.
Define the term sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset among possible experiment results. Depending on the experiment, a sample area could contain a variety of results.for the stated question-
Total times the dice is thrown = 3.
Total number of sample space = 6 x 6 x 6 = 216.
The probability of coming six = 1/6
The probability of not coming six = 1 - 1/6 = 5/6.
Probability of getting 6 in third throw = 5/6 x 5/6 x 1/6
Probability of getting 6 in third throw = 25/216
Thus, Cara has a 25/216 chance of waiting until her third throw before throwing a six.
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For a fully discrete whole life insurance of 1000 issued to (x), you are given:
2Ax = 0.08
Ax = 0.2
The annual premium is determined using the equivalence principle.
S is the sum of the loss-at-issue random variables for 100 such independent policies. Calculate the standard deviation of S. (Ans 2500)
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
Given that:
2Ax = 0.08
Ax = 0.2
A fully discrete whole life insurance issued to (x) is 1000.
Firstly we have to find out the value of variance S.
Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2
Variance S = (1000)^2 * [0.08 - 0.2^2]/(1- 0.2)^2
Variance S = (1000)^2 * [0.04]/.64
Variance S = (1000)^2 * .0625
Variance S = 62500
Standard deviation of S = (insurance issued) * [[tex]\sqrt{2Ax - Ax^2}[/tex]]/(1- Ax)
Standard deviation = 1000 * [[tex]\sqrt{0.08 - 0.2^2}[/tex]]/(1- 0.2)
Standard deviation = 1000 * 0.2/0.8
Standard deviation = 1000 * 1/4 = 250
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
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HELLPPPPP ITS maTHhHhHh
Answer:
7
Step-by-step explanation:
if he gets $35 in 5 hours then he gets $7 an hour, and 7*7=49.
Answer: 7 hours
Step-by-step explanation:
$35/5 hours=$7 an hour
$49/$7 an hour=7 hours of mowing
Two blueberry farms are similar in shape. the ratio of the side lengths of the farms is 6 : 7, and the smaller farm has a perimeter of 360 yards. the cost to dig a trench is $0.75 per yard. what is the cost to dig a trench around the larger blueberry farm?
Two blueberry farms are similar in shape. the ratio of the side lengths of the farms is 6 : 7 then $337.50 is the cost to dig a trench around the larger blueberry farm
The farms are sized with a ratio of 4:5 which means that the perimeter of the larger farm can be found by subtracting the perimeter of the smaller farm from that of the total of both farms which can be found by the following formula where it is assumed to be x.
4/(4+5) * x = 360 yards
4x = 360 * 9
x = (360 * 9) / 4
x = 810 yards
Size of larger farm = 810 - 360 = 450 yards
If it costs $0.75 to dig a trench per yard, the total cost for the larger farm is;
= 450 * 0.75
= $337.50
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Ron earns $450 in gross wages on January 10. How much is deducted from Ron’s gross wages for social security at 6.2% and Medicare at 1.5%?
The amount of $34.65 is deducted from Ron’s gross wages for social security at 6.2% and Medicare at 1.5% .
What is the percentage?Percentage means one part of every cent or hundred. And it is represented by symbol '%'.
Given that Ron earns $450 in gross wages on January 10.
To find deduction amount from Ron’s gross wages for social security at 6.2% ;
Firstly, we find 6.2% of $450 that is $450 x 6.2 / 100 = $27.9 and then we substract to the gross wages.
$450 - $27.9 = $422.1
Now to find 1.5 % of $450 that is 450 x 1.5/ 100 = $6.75 and then we substract to the gross wages.
$450 - $6.75 = $443.25
total deduction amount is $6.75 + $27.9 = $34.65
Therefore, $34.65 is deducted from Ron’s gross wages for social security at 6.2% and Medicare at 1.5%
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which inequality has –12 in its solution set?abcdx + 6 less-than negative 8x + 4 greater-than-or-equal-to negative 6x minus 3 greater-than negative 10x + 5 less-than-or-equal-to negative 4abcd
The inequality contain -12 in its solution is x + 5 ≤ -4.
What is inequality?
The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things.
We have to find from the given inequalities which inequality has -12 in its solution.
Consider, the given inequalities
(1) x + 6 < -8
⇒ x < - 8 - 6
⇒ x < -14
This inequality does not contain -12 in its solution.
(2) x + 4 ≥ - 6
⇒ x ≥ -6 - 4
⇒ x ≥ - 10
This inequality does not contain -12 in its solution.
(3) x - 3 > -10
⇒ x > -10 + 3
⇒ x > -7
This inequality does not contain -12 in its solution.
(4) x + 5 ≤ -4
⇒ x ≤ - 4 - 5
⇒ x ≤ -9
This inequality contain -12 in its solution.
Hence, the inequality contain -12 in its solution is x + 5 ≤ -4.
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The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
A shooter has a 27.92% chance of hitting the target at least 13 times.
What does binomial distribution mean?Let X become a random variable and represent the number of times the target gets hit.15 shots are fired, hence 10 trials ("n") are conducted as a result.The likelihood of success is represented by "p" in a binomial distribution, and the likelihood of failure is represented by "q" (where q = 1 - p).p = 0.89 with q = 0.11 because the target has a 0.89 chance of being hit.This probability mass function in this type of binomial distribution is the quantity of successes ("x").
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The required number of wins is five since we are concerned with the likelihood that target will be hit exactly five times.(i.e., x = 13).
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Therefore, there is a 27.92% chance that a shooter will hit its target at the very most 13 times.
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Rewrite the expression as an equivalent ratio of logs using the indicated base. log13(58.875) to base 10
Answer:
log 58.875/ log 13
Step-by-step explanation:
log 58.875/ log 13
(t/f) since we are sampling from a skewed-right distribution, with sample size 80, the sampling distribution of the sample mean should also be a skewed-right distribution.
True, With an 80-person sample size, we are selecting from a skewed-right distribution, hence the sampling distribution mean should likewise be skewed-right.
80 people make up the sample that was taken from the population distribution with a right skew. We may infer that the sampling distribution of the sample means would be close to normalcy given the size of the sample.
In general, the distribution is normal.
The central limit theorem states that as sample size increases, the sample mean distributions become normal, with standard deviations equaling n and mean values approximating the population mean, regardless of the underlying distribution's form. In other words, the sample means sampling distribution turns roughly normal.
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A line with a slope of –1/4 passes through the point (3,3). What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
The equation of the line is y = -1/4x + 15/4
How to determine the equation of the line?From the question, we have the following parameters that can be used in our computation:
Slope = -1/4
Point = (3, 3)
The equation of a line is calculated using
y = m(x - X) + Y
Where
m = Slope = -1/4
(x, y) = Point = (3, 3)
Substitute the known values in the above equation, so, we have the following representation
y = -1/4(x - 3) + 3
So, we have
y = -1/4x + 3/4 + 3
Evaluate
y = -1/4x + 15/4
Hence, the equation is y = -1/4x + 15/4
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Please help asap now !!!!!
Answer: I need the Problem?
Step-by-step explanation:
Which of these relations is a function?
The fourth figure is a function as it passes the vertical line test.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
By vertical line test which is drawing a vertical line anywhere in a graph of a function if it only intersects only at one point, it is a function.
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-8w+(-4z)+2+6w+9z-7 ?
what does it mean to say that two variables are negatively associated?what does it mean to say that two variables are negatively associated?
When two variables are correlated negatively, the other variable's value falls as the value of the first variable rises.
Express the term negative correlation?When two variables are correlated negatively, the other variable's value falls as the value of the first variable rises.
The correlation coefficent, which expresses correlation on a scale from +1 to -1, is used. Values less than 0 indicate a negative connection. An increase in one variable confidently foretells a drop in the other when there is a perfect negative correlation, with a coefficient of -1. An rise or decrease inside one variable consistently forecasts the same directional shift for the second variable, according to a perfect positive correlation that has a coefficient of +1. Non-zero coefficients between -1 and +1 are used to show lower degrees of connection.Zero denotes the absence of a correlation: There is no propensity is for variables to change simultaneously.
Thus, when two variables are correlated negatively, the other variable's value falls as the value of the first variable rises.
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how many arrangements of the 26 different letters are there that (a) contain either the sequence ""the"" or the sequence ""aid""?
1.239x10²⁴ different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.
Given that,
We have to find how many different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.
We know that,
Total number of arrangements of 26 different letters= 26!
Let A be the number of arrangements that contains 'the' = 24! ( Total no. Of alphabet= 26 subtract the number That contains 'the' i.e, 3 and add one for 'the' 26-23+1=24)
Let B be the number of arrangements that contains 'aid' = 24! (Total no. Of alphabet minus number of letter in 'aid' and add 'aid' as an alphabet i.e, 26-23+1= 24)
Total no. Of arrangements that contains either sequence 'the' or 'aid'
A or B= (A)+(B)- (A intersection B)
24! +24! -22! = 1.239x10²⁴
Therefore, 1.239x10²⁴ different ways can the 26 different letters be arranged so that either the word "the" or the word "aid" are present.
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Sort the following polygons in order of increasing area
The area of the polygons sorted in ascending order of area is:
Rectangle = 4
Triangle = 12
Square = 13
What is a polygon?In geometry, a polygon is a planar shape defined by a restricted number of straight line segments linked to form a closed polygonal chain.
Area of the triangle is:
[Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2
Where Ax and Ay are the x and y coordinates of A's vertex. The same is true for the x and y notations of the B and C vertices.
Given,
A(-4-3), B(1, -3), C(-1,2)
We have
[-4(-3-2) + (1(2-(-3)) + (-1(-2-(-3))]/2
= 24/2
= 12
As a result, the area of the triangle is 12.
We use the distance formula to calculate the area of the rectangle. The equation is as follows:
d² = (x₂ - x₁)² + (y₂-y₁)²
Where (x₁, x₂) are the first point's coordinates and (y₁, y₂) are the coordinates of the second point.
Assuming that the vertices are labeled as follows:
A(7,9), B(6,9), C(6,5), D(7,5), then
AB² = (6-7)² + (9-9)²
AB² = 1 + 0
AB = 1
BC² = (6-6)² + (5-9)²
BC² = 0² + -4²
BC = 4
CD² = (7-6)² +(5-5)²
CD² = 1² + 0²
CD = 1
DA² = (7-7)² + (9-5)²
DA² = 0² +4²
DA = 4
As is typical of a rectangle, we can deduce that AB = CD and BC = DA
Since the Area of the rectangle is AB x CD OR BC x DA
The area of the rectangle =4 x 1 = 4
We may also calculate the length of the square's sides using distance methods.
We only need the length of one side because the area of a square is provided as L2.
Hence,
AB = 3.60555
Hence the area of the square =3.60555²
= 12.9999908025
Area of the square is 13
Thus, the polygons are placed in increasing area order as follows:
Rectangle = 4
Triangle = 12
Square = 13
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Rico-Guevara’s feeders take pictures of the birds’ tongues sticking out as they sip nectar. A hummingbird’s beak is b millimeters long and its tongue sticks out t millimeters past its beak. Write an expression to find out the total length of its beak and tongue that sticks out. 4B. Evaluate it: A Rufous-tailed hummingbird’s beak is 20 millimeters long and its tongue sticks out 8 millimeters
The expression to find out the total length of its beak and tongue that sticks out is b+t.
When Rufous-tailed hummingbird’s beak is 20 millimeters long and its tongue sticks out 8 millimeters, the length is 28 millimeters.
What is an expression to find the total length?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information illustrated, Guevara’s feeders take pictures of the birds’ tongues sticking out as they sip nectar.
A hummingbird’s beak is b millimeters long and its tongue sticks out t millimeters past its beak.
The expression to find out the total length will be:
= Length of beak + Length of tongue
= b + t
The length when the hummingbird’s beak is 20 millimeters long and its tongue sticks out 8 millimeters is:
= 20 + 8
= 28 millimeters
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Help with these two questions, 100 points!!
Answer:
15. x = 4
16. x = 7
Step-by-step explanation:
15.
CD/ ED = DG / DF
48 / (5x - 2) = 40 / (2x + 7)
48 (2x + 7) = 40 (5x - 2)
96x + 336 = 200x - 80
200x - 96x = 336 + 80
104x = 416
x = 4
16.
ST / PL = TU / LM
(x + 1) / 72 = (2x - 3) / 99
99 (x + 1) = 72 (2x - 3)
99x + 99 = 144x - 216
144x - 99x = 99 + 216
45x = 315
x = 7
Answer:
15. x = 4
16. x = 7
Step-by-step explanation:
Similar Triangles
In similar triangles, corresponding sides are always in the same ratio.
Question 15If ΔCDG ~ ΔEDF then:
CD : ED = DG : DF = CG : EFFrom inspection of the given diagram:
CD = 48ED = 5x - 2DG = 40DF = 2x + 7Therefore:
[tex]\implies \sf CD : ED = DG : DF[/tex]
[tex]\implies 48 : (5x-2) = 40 : (2x+7)[/tex]
[tex]\implies \dfrac{48}{(5x-2)} = \dfrac{40}{(2x+7)}[/tex]
[tex]\implies 48(2x+7)=40(5x-2)[/tex]
[tex]\implies 96x+336=200x-80[/tex]
[tex]\implies 416=104x[/tex]
[tex]\implies x=\dfrac{416}{104}[/tex]
[tex]\implies x=4[/tex]
Question 16If ΔSTU ~ ΔPLM then:
ST : PL = TU : LM = SU : PMFrom inspection of the given diagram:
ST = x + 1PL = 72TU = 2x - 3LM = 99PM = 70Therefore:
[tex]\implies \sf ST : PL = TU : LM[/tex]
[tex]\implies (x+1) : 72 = (2x-3) : 99[/tex]
[tex]\implies \dfrac{(x+1)}{72}= \dfrac{(2x-3)}{99}[/tex]
[tex]\implies 99(x+1)=72(2x-3)[/tex]
[tex]\implies 99x+99=144x-216[/tex]
[tex]\implies 315=45x[/tex]
[tex]\implies x=\dfrac{315}{45}[/tex]
[tex]\implies x=7[/tex]
if, in a random sample of 250 items, 46 are defective, what is the sample proportion of defective items?
The sample proportion of defective item is 0.184
What is proportion ?
A part, share, or number that is measured in comparison to a whole is referred to as a proportion in general. When two ratios are equal, according to the definition of proportion, they are in proportion. It is a formula or claim that shows that two ratios or fractions are equal.
let x = number of defective items
= 46
Let n = sample size
= 250
Therefore , sample proportion of defective items given by
p = x / n
= 46 / 250
= 0.184
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b. the scatterplot matrix is not all that helpful for the categorical variables term and format. i. create a side by side boxplot that looks at the relationship between term and final. (1 point) paste your plot. (1 point) describe the relationship. visually does term seem to have a relationship with final? ii. create a side by side boxplot that looks at the relationship between format and final. (1 point) past your plot. (1 point) describe the relationship. visually does format seem to have a relationship with final?
Boxplot tells whether a quantitative variable and a categorical variable are associated.
The distributions of one or more sets of numerical data are shown using boxes and lines in a box plot (also known as a box and whisker plot).
With a centre line designating the median value, box limitations show the range of the centre 50% of the data. From each box, lines extend to represent the range of the remaining data, and dots are positioned beyond the line's margins to represent outliers.
Box plots are used to display the distributions of numerical data values, particularly when comparing them across various groups.
They provide a broad overview of the symmetry, skew, variance, and outliers in a set of data. It is simple to determine where the primary concentration of the data is and to compare different groups.
I've answered the question in general as the question is incorrect
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The sum of the elements in a tuple can be recursively calculated as follows: the sum of the elements in a tuple of size 0 is 0 otherwise, the sum is the value of the first element added to the sum of the rest of the elements write a function named sum that accepts a tuple as an argument and returns the sum of the elements in the tuple.
The following is a code in python.
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#Specify the function in
DefinedSum(tu)
# Verify whether the tuple contains 0
if len(tu) == 0
#Then, give back 0
return 0
#Otherwise
else:
#invoke the recursive function.
return tu[0]+Sum (tu[1:])
Set a variable of the tuple type
tu=(2,5,1,8,10)
#print, then invoke the function.
print("The total of tuple is:"), sum(tu),
Output:
The sum of tuple is: 26
Here, we define the method "sum()" and send the parameter "tu" to the function, which saves the value of the tuple type.
If the length of the tuple is 0, then the if conditional expression should verify the condition and return 0.
If not, invoke the function, return the tuple's total (which is determined recursively), and exit.
Last but not least, initialize the "tu" variable of the tuple type, print, then run the sum function.
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