In testing the difference between the means of two normally
distributed populations, assuming equal variance of the
populations, if u1 = u2 = 50, n1 = 10, and n2 = 13, the degrees of
freedom for the t
Answers
the degrees of freedom for the t-test are 21.
In testing the difference between the means of two normally distributed populations, assuming equal variance of the populations, if u1 = u2 = 50, n1 = 10, and n2 = 13, the degrees of freedom for the t-test are 21.
Degrees of Freedom (DF) is an important statistic in estimating the population variance from sample variance. It is defined as the number of independent observations in a set of data that can be used to estimate a parameter of the population.
The formula to calculate degrees of freedom is as follows:
DF = n1 + n2 - 2
where n1 and n2 are the sample sizes of the two populations. In this case, n1 = 10 and n2 = 13, therefore:
DF = 10 + 13 - 2DF = 21
Therefore, the degrees of freedom for the t-test are 21.
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The degrees of freedom for the t-test in this case are 21.
The degrees of freedom for the t-test in this scenario can be calculated using the formula:
df = n1 + n2 - 2
Substituting the given values, we have:
df = 10 + 13 - 2
df = 21
Therefore, the degrees of freedom for the t-test in this case are 21.
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Related Questions
Guppies are small fish that live in South American rivers. They can have different- sized spots on their bodies.
The river bottoms are covered in rocks. Guppies with spots that are the same size as the rocks on the bottom are harder for bigger fish to see and catch.
The diagram below shows a population of guppies that live in a river. At time 1, the population had the same number of guppies with small and large spots. At time 2, after many generations, there were many more guppies with small spots and fewer guppies with large spots in the population.
How did the environment change between time 1 and time 2? How did the population change?
a. You cannot tell how the environment changed. With each generation, more guppies passed on the gene for small spots to their offspring.
b. The rocks became smaller. With each generation, more guppies with small spots survived long enough to pass on the gene for small spots to their offspring.
c. The rocks became smaller. Guppies with small spots are more likely to survive, so the guppie
The rocks became smaller. Guppies with small spots are more likely to survive, so both kinds of guppies passed on the gene for small spots to their offspring.
Answers
The environment changed in such a way that, "guppies with small spots had a better chance of survival and reproduction, leading to an increase in their population and a decrease in the population of guppies with large spots".
Over many generations, guppies with small spots had a survival advantage in the river because the rocks on the river bottom became smaller. This made guppies with small spots harder for larger fish to see and catch, increasing their chances of survival and reproduction.
As a result, more guppies with the small spot gene passed it on to their offspring, leading to an increase in the population of guppies with small spots. At the same time, the population of guppies with large spots decreased as they were more visible to predators and had a lower chance of survival. This process of natural selection led to a change in the frequency of different traits within the population of guppies.
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5 trucks can transport 500 quintals of rice to a remote region of Nepal in 3 days. In how many days would 4 trucks transport 800 quintals of rice to the same place?
Answers
We can set up a proportion to solve for the number of days required:
(Trucks) × (Days) = (Rice quintals)
Using the first scenario:
5 trucks × 3 days = 500 quintals
Now we can solve for the second scenario using the same ratio:
4 trucks × (unknown number of days) = 800 quintals
To find the number of days, we can rearrange the equation and solve for it:
(4 trucks) × (unknown number of days) = 800 quintals
Dividing both sides of the equation by 4 trucks, we get:
(Unknown number of days) = 800 quintals / 4 trucks
(Unknown number of days) = 200 quintals per truck
Therefore, it would take 200 quintals per truck to transport the rice. Since the first scenario took 3 days to transport 500 quintals, we can calculate the number of days required for 800 quintals:
(Number of days) = (800 quintals) / (200 quintals per truck)
(Number of days) = 4 days
Therefore, it would take 4 days for 4 trucks to transport 800 quintals of rice to the same remote region in Nepal.
Find the exact volume of the sphere with a radius of 2 m. Leave the answer in terms of pie
Answers
Answer:
\(V=\frac{32}{3} \pi\)
Step-by-step explanation:
We first need to know the formula to find the volume of a sphere.
What is the formula to find the volume of a sphere?The formula to find the volume of a sphere is:
\(V=\frac{4}{3} \pi r^{3}\)(Where V is the volume and r is the radius of the sphere)
If the radius of the sphere is 2, then we can insert that into the formula for r:
\(V=\frac{4}{3} \pi (2)^{3}\)\(V=\frac{4}{3} \pi (8)\)\(V=\frac{32}{3} \pi\)Therefore the answer is \(V=\frac{32}{3} \pi\).
Please Help A Dude
And sorry for the sucky pic
Answers
Answer:
B
Step-by-step explanation:
by a rule of angles in parallel lines we have that
angle 4 + angle 5 =180
so we have
(3x+15)+(2x-10)=180
(3+2)x+(15-10)=180
5x+5=180
5(x+1)=180
x+1=36
x=36-1
x=35
Answer:
B. 35
Step-by-step explanation:
<4 and <5 are supplementary angles and their sum is = 180°
3x + 15 + 2x - 10 = 180 add like terms
5x + 5 = 180
5x = 175
x = 35
A die is rolled. if it rolls to a 1 or 2, you win 2 usd. if it rolls to a 3, 4, 5, or 6, you will lose 1 usd. what is the expected payoff from rolling this die?
Answers
The expected payoff from rolling the die is 0 usd.
According to the given question.
A die is rolled.
So, the possiblbe outcomes for a dice = {1, 2, 3, 4, 5, 6}
⇒ Total number of outcomes = 6
Also, it is given that
If a die is roll to a 1 or 2, we win 2usd and if it rolls to 3, 4, 5, or 6 we lose 1 usd.
As, we know that "Probability denotes the possibility of the outcome of any random event". And probability of any event can be calculated as
P(E) = total number of favorable outcomes/ Total number of outcomes
So,
The probability that die rolls 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
And, the probability thet die rolls 3, 4, 5, or 6
= 1/6 + 1/6 + 1/6 + 1/6
= 4/6
= 2/3
Therefore, the excepted payoff from rolling this die
= \(2\times\frac{1}{3} - 1\times\frac{2}{3}\)
\(= \frac{2}{3} - \frac{2}{3}\)
= 0 usd
Hence, the expected payoff from rolling the die is 0 usd.
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What is the unit cost per bottle if a pack of 4 bottles of juice sells for $3? (1 point)
Group of answer choices
$0.12 per bottle
$0.75 per bottle
$7.50 per bottle
$12.00 per bottle
Answers
Answer:
$0.75 per bottle is the unit cost per bottle
whats the answer to number 5 please and thank you? please write down the steps
please help
Answers
Answer:
67
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
x + 55 = 90 (Right angle triangle)
x = 90 - 55
x = 35
Please mark as brainliest.
Find the volume of the cone khan academy
Answers
Answer:
V= 1/3 pi*r^2*
Step-by-step explanation:
The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.
The entries in the index of the National Codes are listed under one main term. True or False?
Answers
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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Please help quick ..
What distance was an object moved by a force of 35 N if the work was 665 joules?
19m
23,275m
630m
22m
Answers
Answer:
19m, A
Step-by-step explanation:
Work = Force x distance
so rearrange to get:
distance = Work ÷ Force
distance = 665÷35
distance = 19m
What is the measure of
A. 135°
B. 55°
C. 35°
D. 65°
Answers
90+35= 125
180-125= 55
Answer:
∠B = 55
Step-by-step explanation:
∠A + ∠B + ∠C = 180 {Angle sum property}
35 + ∠B + 90 = 180
∠B + 125 = 180
∠B = 180 - 125
∠B = 55
The grocery business saw broad changes over the course of the
Covid-19 pandemic. As restaurants closed their doors to all but
take-out orders, grocery store revenues increased by approximately
10% ove
Answers
The COVID-19 pandemic led to significant changes in the grocery business. As restaurants closed their doors to all but take-out orders, grocery store revenues increased by approximately 10%. This increase in demand resulted in significant operational changes for grocery stores.
including expanded hours, increased staffing, and the implementation of strict health and safety protocols. Retailers also invested heavily in e-commerce capabilities to accommodate the increase in online orders. Furthermore, the pandemic has also impacted consumer behavior, as customers stockpiled items and made fewer trips to the store, opting instead for bulk purchases.
As the pandemic continues, the grocery industry will continue to evolve to meet consumer demands and changing economic conditions. In the future, we may see further investments in e-commerce capabilities, increased attention to health and safety protocols, and continued efforts to cater to shifting consumer preferences.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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for example 12.4, using the data in barium, obtain the iterative cochrane-orcutt estimates. are the prais-winsten and cochrane-orcutt estimates similar? did you expect them to be?
Answers
The question mentions obtaining the iterative Cochrane-Orcutt estimates using data related to barium. It also asks whether the Prais-Winsten and Cochrane-Orcutt estimates are similar and whether such similarity was expected.
The Cochrane-Orcutt method is a procedure used for estimating parameters in a time series regression model when there is serial correlation in the error terms. It involves using an iterative process to estimate an autoregressive model. The Prais-Winsten method is a similar approach that addresses serial correlation in a time series regression model.
Without specific data related to barium or the estimated coefficients, it is not possible to determine the similarity between the Prais-Winsten and Cochrane-Orcutt estimates in this context. However, both methods aim to address the issue of serial correlation, and thus, their estimates are expected to be similar in terms of addressing this specific problem.
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A large mixing tank currently contains 100 gallons of water into which 7 pounds of sugar have been mixed. A tap will open pouring 15 gallons per minute of water into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. The concentration (pounds per gallon) of sugar in the tank after t minutes is given by the function C(t)= 7+3t/100+15t 1. What will the concentration be in 11 minutes? (Enter your answer rounded correctly to three decimal places, and select the correct inits.) C(11)= 2. What is the horizontal asymptote of the graph of C(t) ? y= (Enter your answer rounded correctly to three decimal places.) 3. Interpret this fact in the context of the problem: Over time the concentration settles on 0.2000 pounds per gallon Over time the amount of sugar settles on 0.2000 pounds Inititially, the concentration is 0.2000 pounds per gallon Inititially, there are 0.2000 pounds of sugar in the tank
Answers
The concentration of sugar in the tank after 11 minutes will be 1.8 pounds per gallon.
We are given the concentration function C(t) = 7 + (3t/100) + 15t, where t represents the time in minutes.
To find the concentration after 11 minutes, we substitute t = 11 into the function:
C(11) = 7 + (3(11)/100) + 15(11)
= 7 + (33/100) + 165
= 7 + 0.33 + 165
= 172.33
Therefore, the concentration of sugar in the tank after 11 minutes is approximately 172.33 pounds per gallon.
Note: It's important to pay attention to units while performing calculations. In this case, the concentration is given in pounds per gallon, and the time is given in minutes.
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What’s the answer and how do I find it?
Answers
Answer:
\( \dfrac{3a^2 + 3b}{a^2 - b^2} \)
Step-by-step explanation:
You can try factoring the numerator and denominator.
\( \dfrac{3a^2 + 3b}{a^2 - b^2} = \dfrac{3(a^2 + b)}{(a + b)(a - b)} \)
Nothing cancels out, so the expression is simplified as given.
Answer: \( \dfrac{3a^2 + 3b}{a^2 - b^2} \)
El paso de María equivale a 7/8 de 1 metro ¿Qué distancia recorre con 1000 pasos?¿Cuántos pasos debe dar para recorrer una distancia de 1400 metros?
Answers
Answer:
¿Qué distancia recorre con 1.000 pasos? Multiplicas: 7/8 ×1000 = 7000 / 8 = 875 m. ¿Cuántos pasos debe dar para recorrer una distancia de1400 m.? Divides: 1400 ÷ (7/8) = (1400×8) / 7 = 1600 pasos.
Step-by-step explanation:
The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel.
Below are the data collected and the regression equation.
Strength = -941.6992 + 8.5988*Diameter
The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value.
Answers
If we choose to use a diameter of 201 for the experiment, the strength will be 786.6596.
Given, the experiment in which weld diameter and shear strength (in pounds) were measured for five distinct spot welds on steel produced the data that is included.
The gathered information and the regression equation are shown below.
Strength = -941.6992 + 8.5988×Diameter
we have to calculate the predicted y-hat value for the diameter value of 201.
Now, we are given the regression equation with the strength and diameter as the variables.
now, when we put the diameter equal to 201, the strength will be
Strength = -941.6992 + 8.5988×Diameter
Diameter = 201
Strength = -941.6992 + 8.5988×201
Strength = -941.6992 + 1,728.3588
Strength = 786.6596
So, the value of the strength be 786.6596
Consequently, the strength value when the diameter is 201 be, 786.6596.
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what is the domain of this function
A. (1,2,3,4,9,16)
B. (2,4,9,16)
C. (1,2)
D. (1,2,3,4)
Answers
Answer:
D
Step-by-step explanation:
Find the exact value.
- sin 150°
- cos 150°
Answers
The value of sin 150° is -1/2. and cos 150° is √3/2 (note that it is negative because it is in the second quadrant).
We can use the unit circle to find the exact values of sin 150° and cos 150°.
First, let's consider sin 150°. Since 150° is in the second quadrant, we know that sin 150° is negative. Also, we know that the sine function is periodic with a period of 360°, which means that sin 150° is equal to sin (150° - 360°) = sin (-210°). Now we can use the reference angle of 30° (since 210° is 30° past the 180° mark in the second quadrant) to find the exact value of sin 150°:
sin 150° = sin (-210°) = -sin 30° = -1/2
Therefore, sin 150° is -1/2.
Next, let's consider cos 150°. Since 150° is in the second quadrant, we know that cos 150° is negative. Also, we know that the cosine function is periodic with a period of 360°, which means that cos 150° is equal to cos (150° - 360°) = cos (-210°). Now we can use the reference angle of 30° to find the exact value of cos 150°:
cos 150° = cos (-210°) = cos 30° = √3/2
Therefore, cos 150° is √3/2 (note that it is negative because it is in the second quadrant).
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anyone ? what’s the volume of the cylinder
Answers
Answer:
V=πr2h
Step-by-step explanation:
Please upload a picture of a piece of paper with the problem worked out, and draw the graph for extra points, there will be 6 of these, so go to my profile and find the rest, and do the same, for extra points.
for questions 3 and 4, solve the system using the substitution method.
Answers
The value of X and y using substitution method for the quadratic equation given above would be = -3.6 and - 2.8 respectively.
How to calculate the unknown values using substitution method?The equations given are;
2x - 7y = 13. ----> equation 1
3x + y = 8 --------> equation 2
From equation 2 make y that subject of formula;
y = 8 - 3x
Substitute y = 8 - 3x into equation 1
2x - 7(8 - 3x) = 13
2x - 56 - 21x = 13
-19x = 13+56
-19x = 69
X = -69/19
X = - 3.6
Substitute X = -3.6 into equation 2
3(-3.6) + y = 8
y= 8 - 10.8
= - 2.8
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Find the missing angle measures
Thank you!!
Answers
Answer:
SEE BELOW
Step-by-step explanation:
INTERRIOR ANGLES
3.
∠A + ∠B + ∠C = 180
(180 - 103) + (3x - 14) + (3x + 9) = 180
6x = 180 - 77 + 14 - 9
x = 108 / 6
x = 18
m∠ACB = (3x - 14)
= 3(18) - 14
= 40
m∠ABC = (3x + 9)
= 3(18) + 9
= 63
-------------------------------
INTERRIOR ANGLES
4.
∠A + ∠B + ∠C = 180
(180 - 97) + (2x + 2) + (14x - 1) = 180
16x = 180 - 83 - 2 + 1
x = 96 / 16
x = 6
m∠BCA = 2x + 2
= 2(6) + 2
= 14
m∠ABC = 14x - 1
= 14(6) - 1
= 83
-------------------------------
EXTERIOR ANGLES
5.
∠B
180 - 15x + 20
15x = 180 + 20
x = 200/15
x = 13.33
∠C
180 - 9x + 10
9x = 190
x = 190/9
x = 21.11
∠E
180 - 17x + 2
17x = 182
x = 182/17
x = 10.706
m∠BEF = 17x + 2
= 17 (10.706) + 2
= 184
m∠ABC = 15x + 20
= 15(15.33) + 20
= 220
-------------------------------
EXTERIOR ANGLES
6.
first solve x by adding all the interior angles = 180
∠B + ∠E + ∠C = 180
2x + x + 93 = 180
3x = 180 - 93
x = 87/2
x = 43.5
m∠BEC = 360 - x
= 360 - 43.5
= 316.5
m∠ABC = 180 - 2x
= 180 - 2(43.5)
= 93
Suppose that the relationship between a response variable y and an explanatory variable x is modeled by y = 2.7(0.316)^x.
Which of the following scatterplots would be approximately follow a straight line?
a.) A plot of y against
b.) A plot of y against log x
c.) A plot of log y against x
d.) A plot of log y against log x
e.) None of the above
Answers
The scatterplot that would be approximately follow a straight line is c.) a plot of log y against x.
Taking the logarithm of y transforms the model to log y = log 2.7 + x log 0.316, which is a linear function of x. Therefore, plotting log y against x would result in a linear relationship, where the slope of the line is the logarithm of 0.316 and the intercept is the logarithm of 2.7.
The other options do not result in a linear relationship when plotted. A plot of y against x would result in a curve, a plot of y against log x would result in an exponential curve, a plot of log y against log x would result in a power law relationship. Therefore, the correct answer is c).
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What is the degree measure of an arc 4 πft? long in a circle of radius 10 ft.?
Answers
The length of an arc is given by the formula:
\(\begin{gathered} L_{\text{arc}}=\frac{\theta}{360}\times2\pi r \\ \theta\colon\text{angular measure in degr}ee \\ r\colon\text{radius} \end{gathered}\)We are provided with the following;
\(\begin{gathered} L_{\text{arc}}=4\pi\text{ ft} \\ r=10ft \end{gathered}\)Thus, we have:
\(\begin{gathered} 4\pi=\frac{\theta}{360}\times2\pi\times10 \\ 4\pi\times360=\theta\times20\pi \\ \frac{4\pi\times360}{20\pi}=\theta \\ \theta=72^0 \end{gathered}\)Hence, the degree measure is 72 degrees
Answer: 36
Step-by-step explanation:
find the value of x.
55+5x degrees
Answers
Answer:
If 55 + 5x = 0 then x = -11
Step-by-step explanation:
To find x just get it by itself
55 + 5x = 0
subtract 5x
55 = -5x
then divide by -5
-11 = x
Give two nonparallel vectors and the coordinates of a point in the plane with parametric equations 1=2s +31, y =s - 5t, 2 = -8 +21.
Answers
The two nonparallel vectors and the coordinates of a point in the plane with parametric equations is a = <2, 1, -1> = 2i + j -k and
b = <3, -5, 2> = 3i -5j + 2k.
Geometrical objects with magnitude and direction are called vectors. A line with an arrow pointing in its direction can be used to represent a vector, and the length of the line corresponds to the vector's magnitude. As a result, vectors are shown as arrows and have starting and ending points. It took 200 years for the idea of vectors to develop. Physical quantities like displacement, velocity, acceleration, etc. are represented by vectors.
Additionally, the development of the field of electromagnetic induction in the late 19th century marked the beginning of the use of vectors. For a better understanding, we will explore the concept of vectors in this section along with their characteristics, formulae, and operations while utilising solved examples.
r(s, t) = < x, y, z> = < 2s+3t, s-5t, -s+2t >
r(s, t) = < x, y, z> = < 0+2s+3t, 0+s-5t, 0-s+2t >
r(s, t) = < x, y, z> = < 0+0+0, s(2, 1, -1), t(3, -5, 2) >
In parametric form for following:
a = <2, 1, -1> = 2i + j -k
b = <3, -5, 2> = 3i -5j + 2k
and point P(\(x_0,y_0,z_0\)) = P(0, 0, 0)
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a circular pool is surrounded by a brick walkway 3 m wide. find the ra- dius of the pool if the area of the walk- way is 198 m*.
Answers
The radius of the pool is 9.01 m.
Given,
In the question:
A circular pool is surrounded by a brick walkway 3 m wide.
The area of the walk- way is 198 m^2.
To find the Radius of the pool.
Now, According to the question:
"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".
Let R = Radius of the pool
Area of the circle bounded by the outside edge of the walkway is:
\(\pi\)(R +3)^2
Area of the pool is:
\(\pi R^2\)
Now, Our equation is:;
\(\pi\)(R +3)^2 - \(\pi R^2\) = 198
\(\pi\)((R+3)^2 - \(R^2\)) = 198
Open the inner bracket :
\(\pi\)(\(R^2+6R+9-R^2\)) = 198
\(\pi\)(6R +9) = 198
6R+9 = 198/\(\pi\)
6R = 198/\(\pi\) - 9
R = (198/\(\pi\) - 9)/6
R = (198/(3.14) - 9)/6
R = (63.057 - 9)/6
R = 54.057/6
R = 9.01 meters
Hence, The radius of the pool is 9.01 m.
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What is the perimeter of the quadrilateral ABCD ?
11
B.
А
8
.C
D
O
24
38
O
33
o
35
Answers
Answer:
option d. perimeter of quadrilateral=35
The Johnson twins were born eight years after their older sister.
This year, the product of the three siblings' ages is exactly
1422 more than the sum of their ages. How old are the twins?
Answers
The age of the twins is 9 if the Johnson twins were born eight years after their older sister.
What are ages?When a ratio, such as p:q, is used to express age, qx and px are taken into account. The current age will be (xn) years if you assume the current age to be x. If you're assuming that x is the age you are now, then 1/n of your age will be equivalent to (x/n) years.
What are known as age problems are one use for linear equations. The ages of two separate persons (or objects), both present and future (or past), are typically compared for solving age-related problems. These issues typically seek to determine the current age of each subject.
Let the age of twins be x
The age of older sister be x+8
x(x)(x+8) = x + x + (x+8)+1422
x²(x+8) = 3x+1430
x³+8x² = 3x+1430
x³+8x²- 3x-1430=0
x=9.2045≈9
Therefore, the age of the twins is 9
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