The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It doesn't use facts or formal computations; instead, it merely includes the subject's ideas and prior experience.
A subjective likelihood varies from person to person and is not based on previous facts or market data. In other words, it is not founded on reality but rather is the result of an individual's opinion.
In the majority of probability theories, quantifiable data is evaluated to ascertain the likelihood of an event occurring. However, subjective probability lacks a formal calculation, is influenced by human ideas, and is not based on quantitative data.
Therefore, The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
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how many -digit positive integers can be formed if the digits in odd positions (counting the rightmost digit as position ) must be odd and the digits in even positions must be even and positive?
The numbers that can be formed using the condition is [tex]20^n[/tex]
When a positive integer has n digits and the first digit is 2, all of the digits are prime, the probability that any two successive digits added together are prime is. Numbers from the set {1,3,5,7,9} must be used in the n odd locations, and numbers from the set {2,4,6,8} must be used in the n even spots.
We cannot include 0 in even positive integers because it is neither positive nor negative.
Order matters and repetitions are permitted.
So, here we are
possibilities are
[tex]5^n \times 4^n =20^n[/tex]
where n is the integral value
Therefore, the number of positive integers with digits and the specified restriction is [tex]20^n[/tex]
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Which of the following expressions is equivalent to the expression “eleven from a number”?
“the sum of eleven and a number”
“the difference between a number and 11”
“a number added to 11”
“11 subtracted from a number”
“a number subtracted from 11”
“11 added to a number”
(multi answer)
The expression is equivalent to the expression (x - 11) will be the difference between a number and 11 and 11 subtracted from a number. Then the correct options are B and D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The statement is given below.
“Eleven from a number”
Convert the statement into a mathematical form. Let the number be 'x'. Then we have
⇒ x - 11
The expression is equivalent to the expression (x - 11) will be the difference between a number and 11 and 11 subtracted from a number. Then the correct options are B and D.
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At a school, the parking lot is ¾ full. The lot is
noselection
full of cars.
The fraction of no selection cars is 1/4 in the parking lot.
What is fraction?A fraction is a portion of a whole and is expressed as a rational number using the in-line notation form a/b or the traditional "display" notation for a and b.
The number is expressed as a quotient in mathematics by dividing the numerator by the denominator.
In the numerator or denominator of a complex fraction is a fraction. A proper fraction has always a numerator that is all the time lower than its denominator. If the numerator is greater, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a proper-fraction remainder divided by a whole-number quotient.
The whole of a fraction is 1
Here parking lot is ¾ full
So the The lot that is no selection full of cars is
= 1 - ¾
= 4/4 - 3/4
= 1/4
Thus, the fraction of no selection cars is 1/4 in the parking lot.
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please helpppppppppppp!
(4x + 5) + (2x - 7)
4x + 5 + 2x - 7
6x - 2
Which graphs represents a function?
Answer:
1 i think 2 if not
Step-by-step explanation:
Sorry for the fact that this is in French but i have exams coming up and i don’t understand this concept. You can translate and explain in English, idc. It’s Annuities
Annuité : Une série d'un nombre donné de versements ou de retraits périodiques.
Annuité de fin de période : Une annuité dont les versements sont effectués à la fin de
chaque période.
M = (R[(1 + i)^n −1])/i
M représente le montant total au moment du dernier versement
R représente la somme versée périodiquement, en dollars
i représente le taux d'intérêt par période de capitalisation, sous forme décimale
n représente le nombre de périodes de capitalisation.
Ex1. À la fin de chaque mois, pendant 3 ans, Patrick dépose 100 $ dans un compte qui
rapporte 6% d'intérêt par année, composé mensuellement.
a) Détermine le solde du compte au bout de 3 ans
b) Quel est le total de l'intérêt accumulé ?
a) Pour déterminer le solde du compte au bout de 3 ans, nous devons utiliser la formule de l'annuité de fin de période. Il y a un total de 3 ans x 12 mois/an = 36 mois de capitalisation. Le taux d'intérêt par mois est de 6%/12 = 0.005. La somme déposée chaque mois est de 100 $. En utilisant la formule, nous pouvons calculer le solde final:
M = (R[(1 + i)^n −1])/i
M = (100 [(1 + 0.005)^36 −1])/0.005 = $51,664.23
b) Pour calculer le total de l'intérêt accumulé, nous pouvons soustraire le montant total des dépôts (100 $ x 36 mois = $3,600) au solde final du compte.
Intérêt accumulé = Solde final du compte - Montant total des dépôts
Intérêt accumulé = $51,664.23 - $3,600 = $48,064.23
En résumé, le solde final du compte après 3 ans est de 51,664.23 $ et l'intérêt accumulé est de 48,064.23 $.
J'espère que cela aide et a été correctement traduit haha
Select the correct answer from each drop-down menu. Look at the tables of values below. Data Set 1 Data Set 2 x y -2 6 0 6 1 4 3 2 5 0 x y 1 -2 3 2 3 0 5 8 7 5 Data set is not a function, while data set is a function. To turn the data set that is not a function into a function, the point can be changed so that the x-value is not equal to . Reset Submit
Data set 2 is not a function, while data set 1 is a function. To turn the data set that is not a function into a function, the point (3,0) can be changed so the x-value is not equal to 1, 3, 5 or 7.
When does a relationship represents a function?To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.
In input-output format, the points in these relations are given as follows:
(x,y).
Hence a data-set will represent a function if each value of x is mapped to a single value of y.
This means that data-set 1 represents a function, while data-set 2 does not, as the value of x = 3 is mapped to both y = 2 and y = 0.
The data-set 2 will represent a function if one of the x-coordinates of 3 is changed to another x-coordinate, that is also different of the other x-coordinates of the table.
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A landscaping company placed two orders with a nursery. The first order was for 7
bushes and 4 trees, and totaled $226. The second order was for 6 bushes and 2 trees,
and totaled $148. The bills do not list the per-item price. What were the costs of one
bush and one tree?
Naturally, the task did not require the values of the two variables.Each tree costs $47 and each bush is $23.
How much did one tree and one bush cost?Although I don't have subtotals for the bushes and trees, I could try to add the bushes and trees to get 19 bushes and 6 trees, but this wouldn't help me at all.
So I'll choose two variables ("b" for the quantity of bushes and "t" for the quantity of trees) and construct an equational structure:
13b + 4t = 487 is the first order.
second order: 6b plus 2t equals 232.
When I divide the second row by -2, I obtain:
13b + 4t = 487
-12b – 4t = –464
Therefore, b must equal 23.
Using back-solving, I discover that t = 47.
Naturally, the task did not require the values of the two variables.
The answer, when translated back into English, is:
Each tree costs $47 and each bush is $23.
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Two different drugs, X and Y, are currently in use to treat a certain condition. About 7 percent of the people using either drug experience side effects. A random sample of 75 people using drug X and a random sample of 150 people using drug Y are selected. The proportion of people in each sample who experience side effects is recorded.
Therefore ,option C is correct since the percentage sample would need to be higher than 100 to produce a significant result.
What is a percentage?A percentage is a subdivision by 100, also referred to as percent. A percentage, which is defined as "per 100," denotes a component of an overall amount. For instance, 45% represents the number 45 out of 100. Calculating a percentage is the process of finding the proportion of a whole given terms of 100. There are choices for fraction computation and using online calculators.
Given:
A random selection of 75 drug users of drug X and just a random selection of 150 drug users of drug Y are chosen,
Most statisticians agree that you need a 100 sample size to get any kind of statistically meaningful findings. You should absolutely poll each and every person in a population of less than 100.
The representative sample for medication X is therefore insufficient.
Therefore ,option C is correct since the sample would need to be higher than 100 to produce a significant result.
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Keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Keilantra can purchase while staying within her budget.
a) An inequality that can determine x the number of outfits Keiland can purchase while staying within her total budget of $660 is 529.59 + 37.26x ≤ 660.
b) The inequality solution shows that x cannot be more than 3.
What is inequality?An inequality is a mathematical statement that two or more mathematical expressions are unequal or not equivalent.
Inequalities are depicted as follows:
Greater than (>)Greater than or equal to (≥)Less than (<)Less than or equal to (≤)Not equal to (≠).These inequality symbols are usually written between two numbers or algebraic expressions.
The total spending budget Keilantra has = $660
The cost of a new bicycle = $488.20
The cost of 2 reflectors = $22.34 ($11.17 x 2)
The cost of a pair of bike gloves = $19.05
The total costs for the above three items = $529.59
The unit cost of new biking outfits = $37.26
The number of outfits Keilantra can purchase = x
Inequality:529.59 + 37.26x ≤ 660
37.26x ≤ 660 - 529.59
37.26x ≤ 130.41
x ≤ 3.5
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A marine biologist is studying the growth of a particular species of fish. she writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
what is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
The supplied statement states that the function f(maverage )'s rate of change is 0.78 cm, representing the fish's original length.
What in math is a function?A function in mathematics is an expression, rule, or law that determines the link between two variables, one of which is an independent variable (the dependent variable). Functions may be present everywhere in mathematics, and they are essential for building physical connections in the sciences.
The fish's original length, which is represented by the graph's y-intercept, is 5 cm.
The function f(maverage )'s rate of change at m = 3 to m = 7
m = 3 => f(3) = 5(1.08) = 5.4 cm
m = 7 => f(7) = 5(1.08)⁷ = 8.55 cm
Change in 9 - 1 = 8 months = 8.55 - 5.4 = 3.15 cm
The function's average variation at m = 3 through m = 7 is given.
= (3.15/4)
= 0.78 cm per month
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what is the measure of the smaller angle between the hands of a $12$-hour clock at $12:25$ pm, in degrees? express your answer as a decimal to the nearest tenth.
The measure of the smaller angle between the hands of a 12-hour clock at 12:25 pm is 137.5 degrees.
The hour hand of a 12-hour clock completes one full rotation in 12 hours while the minute hand completes one full rotation in 60 minutes. To find the measure of the angle between the hands of a 12-hour clock at 12:25 pm, we need to calculate the relative position of the hands with respect to the 12 o'clock position.
At 12:25 pm, the minute hand is pointing to the 12.25 mark on the clock which is 25 minutes after 12 o'clock and the hour hand is pointing to the 12 o'clock mark.
The minute hand moves 360 degrees every 60 minutes, so in 25 minutes, it would have moved (360/60)*25 = 75 degrees.
The hour hand moves 360 degrees every 12 hours, so in 25 minutes, it would have moved (360/12*60)*25 = (30)*25 = 750/60 = 12.5 degrees.
The angle between the hands is the absolute difference between their positions.
the angle between the hands = |75-12.5| = 62.5 degrees
However, the clock has two hands and thus we have two angles between the hands.
Therefore, the measure of the smaller angle between the hands of a 12-hour clock at 12:25 pm is 180-62.5 = 137.5 degrees.
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Suzie has $9,126 in an account. The interest rate is 10% compounded annually.
To the nearest cent, how much will she have in 5 years?
Answer: $14697.51
Step-by-step explanation:
[tex]9126(1+0.10)^{5} \approx \$14697.51[/tex]
The table of ordered pairs (x, y )gives an exponential function.
Write an equation for the function.
The exponential equation represented by the table is given as y = 12(2ˣ)
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The standard form of an exponential equation is:
y = abˣ
Where b is the rate of change and a is the y intercept.
From the table, at point (0, 12):
y = abˣ
Substituting the values gives:
12 = ab⁰
a = 12
At point (1, 24):
y = abˣ
Substituting the values gives:
24 = ab¹
24 = 12b
b = 2
The exponential equation is given as y = 12(2ˣ)
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Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:
Answer:
A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Part A :
If a function is linear, then the function values have equal differences.
If a function is exponential, the function values have equal ratios.
For car 1 :
36450 / 40,500 = 9/10
32805 / 36450 = 9/10
Values of car have equal ratios.
This is exponential function.
For car 2 :
39000 - 42000 = -3000
36000 - 39000 = -3000
Values of car have equal differences
This is linear function.
Part B :
The initial value of car is 45,000.
For car 1 :
f(1) = 40,500, f(2) = 36,450, ............
For car 2 :
f(1) = 42,000, f(2) = 39,000, ..........
Part C :
For car 1 :
f(13) = = 11438.396
For car 2 :
f(13) = = 6000
There is a significant difference in the values of the car after 13 years. The value of the car 1 is greater.
Hence the value of the car 1 is described by an exponential function and that of car 2 by linear function. The value of car 1 is greater after 13 years.
Step-by-step explanation:
Can someone help me with this question please. Thank you
Answer:
hola buenos skskskskseolelelldd
0
с
z←
85⁰
D
Work out the three-figure bearing of D from C.
Answer:
095
Step-by-step explanation:
You want the bearing from C to D, given that the bearing from D to C is 85° west of north.
BearingThe bearing from C to D will be the opposite of the bearing from D to C.
Bearing is measured clockwise from north, so the bearing shown from D to C is -85°. Its opposite is found by adding 180°.
180° +(-85°) = 95°
The 3-digit bearing of D from C is 095.
HELP I ONLY HAVE TELL 12 QUICK I HAVE OTHER QUIZZES TOO
Answer:
by 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
Vinh pays a convenience fee when he reserves movie ticket son his cell phone app. The app shows him the total cost of his purchase (y) for different number of tickets (x) in the table shown. Do not add any spaces when typing in the equation.
The equation that models this linear function is y = 12.5x + 7.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept.Next, we would determine the slope of the data points in this table as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (44.50 - 32.00)/(3 - 2)
Slope, m = 12.5/1
Slope, m = 12.5.
At point (2, 32.00), a linear equation of this line can be calculated in slope-intercept form as follows:
y - y₁ = m(x - x₁)
y - 32.00 = 12.5(x - 2)
y - 32.00 = 12.5x - 25
y = 12.5x - 25 + 32.00
y = 12.5x + 7
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Complete Question:
Vinh pays a convenience fee when he reserves movie ticket son his cell phone app. The app shows him the total cost of his purchase (y) for different number of tickets (x) in the table shown. What is the equation that models this linear function?
In mrs.thomas’ class, 16 of the students received A’s and 20 received B’s. In mr.carls class 12 students received a’s and 15 recived b’s which class has a lower ratio to a’s and b’s
Mrs Thomas' and Mr Carl's classes both have same lower ratio of A's to B's which expressed in the lowest term as 4:5 or fraction as 4/5
Expression of ratio as fractionsRatio is used to compare values, and can be expressed as fractions.
Mrs Thomas' class have the ratio of students her students A's to B's as 16:20. And can be expressed as fraction in its lowest term as follows:
16:20 = 16/20
16:20 = 4/5
Mr Carl's class have the ratio of students her students A's to B's as 12:15. And can be expressed as fraction in its lowest term as follows:
12:15 = 12/15
12:15 = 4/5
Therefore, since the lowest form of Mrs Thomas' class and Mr Carl's class ratios of A's to B's are equal, then both class have equivalent lower ratio of A's to B's.
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a farmer finds that if she plants 95 trees per acre, each tree will yield 80 bushels of fruit. she estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. how many trees should she plant per acre to maximize her harvest?
She should plant 118 trees per acre to maximize her harvest area. This will yield 96 bushels per tree.
95 trees per acre x 80 bushels per tree = 7600 bushels
96 trees per acre x 77 bushels per tree = 7392 bushels
97 trees per acre x 74 bushels per tree = 7158 bushels
98 trees per acre x 71 bushels per tree = 6938 bushels
99 trees per acre x 68 bushels per tree = 6732 bushels
100 trees per acre x 65 bushels per tree = 6500 bushels
101 trees per acre x 62 bushels per tree = 6262 bushels
102 trees per acre x 59 bushels per tree = 6038 bushels
103 trees per acre x 56 bushels per tree = 5828 bushels
104 trees per acre x 53 bushels per tree = 5532 bushels
105 trees per acre x 50 bushels per tree = 5250 bushels
106 trees per acre x 47 bushels per tree = 4978 bushels
107 trees per acre x 44 bushels per tree = 4716 bushels
108 trees per acre x 41 bushels per tree = 4452 bushels
109 trees per acre x 38 bushels per tree = 4188 bushels
110 trees per acre x 35 bushels per tree = 3925 bushels
111 trees per acre x 32 bushels per tree = 3663 bushels
112 trees per acre x 29 bushels per tree = 3407 bushels
113 trees per acre x 26 bushels per tree = 3151 bushels
114 trees per acre x 23 bushels per tree = 2895 bushels
115 trees per acre x 20 bushels per tree = 2300 bushels
116 trees per acre x 17 bushels per tree = 1972 bushels
117 trees per acre x 14 bushels per tree = 1638 bushels
118 trees per acre x 11 bushels per tree = 1306 bushels
Therefore, 118 trees per acre will yield the highest harvest of 1306 bushels.
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Joaquin is getting a new locker at school and the first thing he must do is decide on a new combination. The three number locker combination can be selected from the numbers 0 through 21.How many different locker combinations can Joaquin choose if none of the numbers can be repeated?With your understanding of permutations, combinations, and factorials, decide if the name "combination lock" is appropriate.How many mathematical combinations are possible?:How many choices would there be if you could repeat a number, but not use the same number twice in a row?
Joaquin would have 9, 612 different locker combinations if he could repeat a number, but not use the same number twice in a row.
What is the combination?
In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.
If none of the numbers can be repeated, Joaquin can choose from a total of 22 numbers (0 through 21), and he needs to select three of them for his locker combination. This is a classic example of a combination problem, as the order in which he chooses the numbers does not matter. The number of ways to choose three numbers from a set of 22 without repetition is given by the formula for combinations:
C(22,3) = 22! / (3!(22-3)!) = 222120/(321) = 2310
So, Joaquin can choose from 2310 different locker combinations if none of the numbers can be repeated.
The name "combination lock" is appropriate because it refers to the process of combining numbers in a specific order to open the lock. In this case, the order of the numbers selected does not matter.
If Joaquin could repeat a number, but not use the same number twice in a row, the number of mathematical combinations are possible is given by the formula for permutations:
A(22,3) = 222120 = 9, 612
Hence, Joaquin would have 9, 612 different locker combinations if he could repeat a number, but not use the same number twice in a row.
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A tone i launched into the air from a height of 240 feet. The height,h , of the tone, in feet, econd after launch i given by the formula h = - 16t^2 32t40. After how long will the tone hit the ground?
When the tone's height, h, equals 0, we can determine when the tone will fall to the ground. The equation that expresses the height of the tone as a function of time is as follows:
h = -16t^2 + 32t + 40
where t is the number of seconds since the tone was launched, and h is the tone's height in feet.
We can set the formula equal to 0 because we are aware that h = 0 when the tone strikes the ground:
-16t^2 + 32t + 40 = 0
Here is the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / 2a
where a = -16, b = 32, and c = 40.
With these values entered into the formula, we obtain:
t = (-32 ± √(32^2 - 4(-16)(40))) / 2(-16)
t = (-32 ± √(1024 + 2560)) / (-32)
t = (-32 ± √(3584)) / (-32)
t = (-32 ± 64) / (-32)
t = (32) / (-32) or (-96) / (-32)
t = -1 or 3
The duration of the tone before it reaches the ground is -1 or 3 seconds.
However, as there is no such thing as a negative amount of time, it takes 3 seconds for the tone to reach the earth.
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in which month is the probability for an aircraft to experience crosswinds upon takeoff or landing greatest?
The probability for an aircraft to experience crosswinds upon takeoff or landing is generally greatest during the months of spring and fall, specifically in March, April, September and October.
During these months, the transition from winter to summer or summer to winter can lead to greater temperature and pressure differences between the air masses, which can create stronger winds. Additionally, these seasons are also associated with increased storm activity, which can also lead to stronger winds.
However, the probability of experiencing crosswinds upon takeoff or landing can also be affected by regional weather patterns and location, and it's always best to consult with local weather forecast and airport meteorological services before planning any flight.
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Help with only even problems please no odd problems
a company makes wax candles shaped like rectangular prisms. each candle is long, wide, and tall. if the company used of wax, how many candles did they make?
The company made 42 candles from 5040 cm³ of wax.
What is a rectangular prism?Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.
Given the dimensions of the candle, which is in the shape of rectangular prisms
let l be the length, b be width and h be the height,
length = 5 cm
width = 2 cm
height = 12 cm
total wax needed for 1 candle is calculated by the volume of candle,
V = l x b x h
V = 5 x 2 x 12
V = 120 cm³
number of candles made by 5040 cm³ wax
number of candles = 5040/120
number of candles = 42
Hence, 42 candles are made.
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The complete question is,
A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 2cm wide, and 12cm tall. If the company used 5040cm3 of wax, how many candles did they make?
what is the total number of points of intersection of the graphs of the equations y 5 ex and xy 5 20 ?
A. The total number of points of intersection of the graphs of the equations y = 5e^x and xy = 20 is two.
To find the points of intersection, we must solve the two equations for x and y.
For the first equation, y = 5e^x, we can solve for x by taking the natural logarithm of both sides and getting x = ln(y/5).
For the second equation, xy = 20, we can solve for y by dividing both sides by x and getting y = 20/x.
We can then substitute the expression for x in terms of y into the expression for y in terms of x and solve for y to get y = 20/(ln(y/5)). This is a nonlinear equation that must be solved numerically.
By using numerical methods, we can solve the equation and find the two points of intersection, which are (x, y) = (3.68, 4.64) and (x, y) = (0.87, 22.95).
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Given the function y=|x+1|. State the domain over which the function is increasing.
What are the 4 parts of a system?
It can include things like answers to equations, solutions to problems, and visualizations of data.
1. Input: The data and instructions a system receives.
2. Process: The manipulation of data and instructions to produce an output.
3. Output: The result of the system's processing of the data and instructions.
4. Feedback: Information from the output that is used to improve the system's performance.
1. Input: The first part of a system in mathematics is the input. This is the data and instructions that the system receives. It can include things like numbers, equations, formulas, and instructions for how to process the data.
2. Process: The second part of a system in mathematics is the process. This is where the data and instructions are manipulated to produce an output. This can include things like calculations, algorithms, and other mathematical operations.
3. Output: The third part of a system in mathematics is the output. This is the result of the system's processing of the data and instructions. It can include things like answers to equations, solutions to problems, and visualizations of data.
4. Feedback: The fourth part of a system in mathematics is the feedback. This is information from the output that is used to improve the system's performance. This can include things like error messages, suggested changes, and suggestions for optimization.
The four parts of a system in mathematics are input, process, output, and feedback. Input is the data and instructions a system receives. Process is the manipulation of data and instructions to produce an output. Output is the result of the system's processing of the data and instructions. Feedback is information from the output that is used to improve the system's performance.
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The lengths of two sides of a triangle are 7 cm and 17 cm. Identify the range of possible lengths for the third side.
The range possible length of the third side of the triangle is greater than 11.
How to find the third side of a triangle?The lengths of two sides of a triangle are 7 cm and 17 cm. The range of the possible length for the third side can be calculated as follows:
The triangle inequality theorem simply states that the sum of any two sides in a triangle must be greater than the length of the third side of the triangle.
Using triangle inequality theorem, if a, b and c are the sides of the triangle. Hence,
a + b > c
a + c > b
b + c > a
Hence,
7 + 17 > c
7 + c > 17
17 + c > 7
Therefore, using 7 + c > 17, c should be greater than 11.
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