To describe the details of the significant result, compare the provided observed and expected frequencies. Which of the following statements best describes the results? a. A greater proportion of the adolescent girls with anorexia nervosa live in the Northeast than live in the other regions when compared to the general US population
b. A greater proportion of the adolescent girls with anorexia nervosa live in the West than live in the other regions when compared to the general US population c. A greater proportion of the adolescent girls with anorexia nervosa live in the South than live in the other regions when compared to the general US population
c. A greater proportion of adolescent girls with anorexia nervosa live in the South than live in the other regions when compared to the general US population.
Null Hypothesis, [tex]H_{0}[/tex] : All proportions are the same
Alternative Hypothesis, [tex]H_{1}[/tex]: At least two of the proportions are not the same
The alternative and null are both population-based assertions. The reason for this is that the purpose of hypothesis testing is to draw conclusions about a population from a sample.
The null and alternative hypotheses are two competing claims that researchers weigh the evidence for and against using a statistical test:
Null hypothesis: There’s no effect on the population.
Alternative hypothesis: There’s an effect on the population.
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find the fraction of the shaded area and reduce to simplest term IF possible
Answer:
½
pa brainliest po thanks
Answer:
1/2
Step-by-step explanation:
6 small rectangles, 3 are shaded and three are not, so half,
your answer is 1/2 (one half)
Evaluate ab−c+d if a=78 , b=−716 , c=0.8 , and d=14 . Write your answer as a mixed number in simplest form.
In the case where a=78, b=716, c=0.8, and d=14, the simplest form of a mixed number is -117/640.
Explain about the simplest form?The smallest equivalent fraction of the number is the form that is the simplest. How to find the most basic form: In the numerator and denominator, look for shared factors. Examine the fraction to see if one of the numbers is a prime number.
The term "reduced form" refers to the fraction's simplest form. As an illustration, the simplest form of a fraction with a common component of 1 is 34 However, while 2/4 can be further condensed and expressed as 12, it is not the most basic form.
When the top and bottom of a fraction cannot be any smaller while remaining whole numbers, it is said to be in its simplest form.
b a + c d
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
It can therefore be calculated as follows.
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
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the number of country A forces country B decreased to approximately 34,000 in 2014 from a high of about 10,000 in 2008. the amount of country A funding for country B security forces also decreased during this period. the function [tex]f(x)= -1.384x^{2} +5.253x+5.517[tex] can be used to estimate the amount for country A funding for country B security forces. in billions of dollars, x years after January 2007. in what year was the amount for country A funding for country B security forces about $10.5 billion?
The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 10,000 in 2008. X represents the number of years after January 2007, this means that the amount of funding was approximately $10.5 billion in the year 2.135 years after January 2007, or approximately September 2009.
What year was the amount for country A funding for country B security forces about $10.5 billion?Generally, To find the year in which the amount of funding was approximately $10.5 billion, we need to solve the equation:
f(x) = 10.5
Substituting the given function for f(x), we get:
-1.384x^{2} + 5.253x + 5.517 = 10.5
We can solve this quadratic equation by using the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where a = -1.384, b = 5.253, and c = 5.517.
Substituting these values into the formula, we get:
[tex]x = \frac{5.253 \pm \sqrt{5.253^2 - 4(-1.384)(5.517)}}{2(-1.384)}[/tex]
Simplifying this expression gives us:
[tex]x = \frac{5.253 \pm \sqrt{27.747029}}{-2.768}[/tex]
Since x represents the number of years after January 2007, we are only interested in the positive solution. Therefore, we can ignore the negative solution.
[tex]x = \frac{5.253 + \sqrt{27.747029}}{-2.768}[/tex]
Simplifying this expression further gives us:
x = 2.135
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please help and tell me what to put in
Using the two column proof, we have been able to prove that;
ΔPQR ≅ ΔTSR by AAS Congruency Postulate
How to solve two column proof problems?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
Thus, the two column proof required is as follows;
Statement 1: PR ≅ TR
Reason 1: Given
Statement 2: ∠PQR ≅ ∠TSR
Reason 2: Given
Statement 3: ∠PRQ ≅ ∠TRS
Reason 3: Opposite angles
Statement 4: ΔPQR ≅ ΔTSR
Reason 4: AAS Congruency postulate
AAS congruency postulate is one of the 5 major triangle congruency postulates that is defined as Angle-Angle-Side. This tells us that two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.
We can also say that Opposite angles are defined as the angles that are directly opposite each other where two lines cross. The intersection point in this regards is called the vertex, which is the point where the lines connect to form the angle. Opposite angles are also referred to as vertical angles
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sing the empirical rule, approximately the percentage of newborn pigs that weigh between 3.5 and 4.5 lbs.
The empirical rule describes a statistical distribution of data within three standard deviations of the mean on a normal distribution.
According to the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, practically all observed data for a normal distribution will lie within three standard deviations (denoted by σ ) of the mean or average (denoted by μ ).
In specifically, the empirical rule predicts that 68 percent of observations will fall within the first standard deviation, 95 percent will fall within the first two standard deviations, and 99.7 percent will fall within the first three standard deviations.
An approximate test for a distribution's "normality" is the empirical rule. The distribution may not be normal and may be skewed or follow another distribution if a large number of data points are outside the three standard deviation bounds.
The given question is incomplete so I have given the answer in general according to my knowledge.
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expressions equivalent to 9 2/3
The equivalent expression for the given expression is 29/3.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given mixed fraction [tex]9\frac{2}{3}[/tex].
There are equivalent improper fractions for all mixed numbers. By multiplying the integer by the denominator and then adding the numerator, they are transformed. The numerator will not change.
Convert mixed fraction to improper fraction as follows
Improper fraction = [(Numerator × Denominator)+Numerator]/Denominator
[(9×3)+2]/3
=[27+2]/3
= 29/3
Therefore, the equivalent fraction for the given mixed fraction is 29/3.
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8.8 Use Runge-Kutta method of fourth order to solve numerically the initial value problem
10(dy/dx) = x²+y² , y(0)=1
and find y in the interval 0 ≤x ≤ 0.4 , taking h=0.1.
The value of y(0.4) is 1.04384484247985 using Runge-Kutta method of fourth order .
What is Runge-Kutta method of fourth order ?
The RK4 method, also known as the fourth-order Runge-Kutta method, is the Runge Kutta technique most frequently employed to get the answer to a differential equation. For a given point x, the Runge-Kutta technique returns an approximation of the value of y. The Runge Kutta RK4 method can only be used to solve first order ODEs.
The step size is h = 0.1
f(x,y) = (x²+y²)/10
Step 1:
x₁ = 0 + 0.1 = 0.1
k₁ =f(0,1) = 0.1
k₂ = f(1/20, 1.005) = 0.1012525
k₃ = f(1/20, 1.005062625) =0.101265088017189
k₄ = f(1/10, 1.01012650880172) = 0.103035556378395
y₁ = 1+ (1/10)/6 +(0.1 + 2⋅0.1012525 + 2⋅0.101265088017189 + 0.103035556378395) = 1.01013451220688
Step 2:
x₂ = x₁ + h = 1/5
k₁ =f(1/10,1.01013451220688)=0.103037173275143
k₂ = f(3/20,1.01528637087064) = 0.105330641487567
k₃ = f(3/20, 1.01540104428126) = 0.105353928072747
k₄ = f(1/5, 1.02066990501415) = 0.10817670550016
y₂ =1.01013451220688 + (1/10)/6 +(0.103037173275143 + 2⋅0.105330641487567 + 2⋅0.105353928072747 + 0.10817670550016) = 1.02067756250514
Step 3:
x₃ = x₂ + h = 3/10
k₁ =f(1/5, 1.02067756250514)=0.108178268660144
k₂ = f(1/4,1.02608647593815)=0.111535345610318
k₃ = f(1/4, 1.02625432978566)=0.111569794940382
k₄ = f(3/10, 1.03183454199918)=0.115468252206266
y₃ =1.02067756250514 + (1/10)/6 (0.108178268660144 + 2⋅0.111535345610318 + 2⋅0.111569794940382 + 0.115468252206266) = 1.03184184253794
Step 4:
x₄ = x₃ + h = 2/5
k₁ =f(3/10, 1.03184184253794) = 0.115469758801209
k₂ = f(7/20,1.037615330478)=0.119914557404297
k₃ = f(7/20, 1.03783757040816)=0.119960682255071
k₄ = f(2/5, 1.04383791076345)=0.1249597583947
y₄ = 1.03184184253794 + (1/10)/6 (0.115469758801209 + 2⋅0.119914557404297 + 2⋅0.119960682255071 + 0.1249597583947) = 1.04384484247985
y(0.4) ≈ 1.04384484247985
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A magician's hat contains black rabbits and white rabbits. The magician selects two rabbits without replacement. If the probability of selecting a black rabbit and a white rabbit is 1/4, and the probability of selecting a black rabbit on the first draw is 5/12, find the probability of selecting a white rabbit on the second draw, given that the first rabbit selected was a black rabbit.
The probability of selecting a white rabbit on the second draw, given that the first rabbit selected was a black rabbit is 3/5.
P(B∩W) = 1/4 getting a black and a white rabbit
P(B) = 5/12 getting a black rabbit
P(W/B)
= P(B∩W) / P(B)
= (1/4) / (5/12)
= 12/20
= 3/5
Therefore, the conditional probability is 3/5.
Conditional probability is the chance of an event A occurring when another event B in relation to A has previously occurred. P(A|B) represents it. As seen in the picture above, S represents sample space, and A and B represent events.
The potential of an event or outcome occurring based on the existence of a preceding event or outcome is known as conditional probability. It is computed by multiplying the preceding event's probability by the renewed probability of the next, or conditional, occurrence.
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a school organized three different trips. 50% of the students went on 1st trip, 80% went on the second trip and 90% went on the third trip. a total of 160 students went on all the three trips. how many students are at the school
Answer:m
Step-by-step explanation:
Ella believes that the more one studies for the final exam, the less time it will take them to complete the exam. She measures both of these variables quantitatively (they are both measurement variables) and uses a correlation test statistic to analyze her data. Ella has a ______ hypothesis that will result in a(n) _______ -tailed test
Answer:
Positive, two-tailed
Step-by-step explanation:
Select the best answer. The central limit theorem is important in statistics because it allows us to use the Normal distribution to find probabilities involving the sample mean (a) if the sample size is reasonably large (for any population). (b) if the population is Normally distributed and the sample size is reasonable large. (c) if the population is Normally distributed (for any sample size). (d) if the population is Normally distributed and the population standard deviation is known (for any sample size). (e) if the population size is reasonably large (whether the population distribution is known or not).
The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.
Given that,
The central limit theorem is important in statistics because it allows us to use the Normal distribution to find probabilities involving the sample mean,
In layman's words, the theorem asserts that regardless of the form of the initial population distribution, the sampling distribution of the mean tends to resemble a normal distribution as the sample size rises.
Statistics benefits from the Central Limit Theorem because it makes it safe to assume that the sampling distribution of the mean will be typically normal. As we will see in the next section, this means that we can benefit from statistical methods that presume a normal distribution.
The distribution of people's heights within a population is one illustration of how the central limit theorem is put to use. Even though the population's distribution of heights is not normal, when we sample this population, the distribution of the sample averages will be roughly normal.
Therefore,
The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.
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I kinda need help
x + 19 -x + 10
Answer:x+19-x+10 is equal to 29.
Please help me with this
1. The required amount y after t years is as shown below:
When t=1, y=74550
When t= 5, y = 88750
When t= 10, y = 106500
When t= 15, y = 124250
When t= 20, y = 142000
2. The required amount y after t years is as shown below:
When t=1, y = 73840
When t= 5, y = 86382.35607
When t= 10, y = 105097.3442
When t= 15, y = 127866.988
When t= 20, y = 155569.743
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
1. x = 71000
r = 3550
Use the below formula to find amount y after t years
y = x+( rt )
When t=1, y= 71000 + ( 3550 * 1) = 74550
Similarly,
When t= 5, y = 88750
When t= 10, y = 106500
When t= 15, y = 124250
When t= 20, y = 142000
2. 4% = 0.04
Use the below formula to find amount y after t years
y = x *( 1 + r )^ t
=> y = 71000*( 1.04)^t
When t=1, y= 71000 * ( 1.04)^1 = 73840
Similarly,
When t= 5, y = 86382.35607
When t= 10, y = 105097.3442
When t= 15, y = 127866.988
When t= 20, y = 155569.743
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Please help me with this and show your process/work!!
After doing the equation the original price of the tie is $20.
What do you mean by algebraic expression?
An algebraic expression is the idea of using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. Anything that is prepended to a variable and multiplied by it is a coefficient.
It is given that Duke bought the shirt and tie at half off rate.
Cost of shirt = $24
Total money paid by Duke = $22
Let cost of tie be x
According to question:
[tex]24\times \frac{1}{2}+ x\times \frac{1}{2}=22[/tex]
12 + [tex]x\times \frac{1}{2}[/tex] = 22
[tex]x\times \frac{1}{2}[/tex] = 22 - 12
x = 10 × 2
x = 20
Therefore , cost of tie is $20.
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The expression 8x³-1 is a ...
Select all that apply
linear
quadratic
cubic
quartic
quintic
monomial
binomial
trinomial
Observing the nature of the provided equation and the degree of the polynomial , The answer is Cubic.
What is a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What do you mean by degree of polynomial?The highest degree of a polynomial's monomials (individual terms) with non-zero coefficients is referred to as the polynomial's degree in mathematics.
Expression : [tex]8x^{3}-1[/tex]
Degree of polynomial =3
The expression is a Cubic Expression.
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Observing the nature of the provided equation and the degree of the polynomial , The answer is Cubic.
What is a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What do you mean by degree of polynomial?The highest degree of a polynomial's monomials (individual terms) with non-zero coefficients is referred to as the polynomial's degree in mathematics.
Expression : 8x³ - 1
Degree of polynomial =3
The expression is a Cubic Expression.
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3 QUESTIONS
Company 1 charges $2500 for the first 100 feet of fence, and $25 for each
additional foot. Write an equation and determine the cost of Company 1 to
complete the fencing job.
Company 2 charges $39 per foot of fence. Write an equation and determine
the cost of Company 2 to complete the fencing job.
if both companies charge 7% sales tax, which company would you choose?why?
I would select company 2 because it has lower cost and tax amount for complete fencing job.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let, f = Total feet of the fence
For company 1 :
Given that 25 $
eq : (f-1)x25 + 2500
= (100 -1)25 + 2500
= 99 x 25 = 2500
= 4975 $
For company 2 :
Given that 39 $
Now if company 1 charges 7 % taxes then,
4975 x 7%
= 4975 + 348.25
= 5323.25$
and for company 2
39 x 7%
= 39 + 2.73
= 41.93 $
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Need help with this can someone help me and show work
first you add 117 to the x value and add 40 to the y value then divide by the opposite reciprocal and then you do it again to get the answer and whatever the answer is you divide by 157
Write each of these numbers in base five as a sum of multiples of powers of five (5):
(a). 1012⁵
(b). 101⁵
(c). 1.1⁵
(d). 10.21⁵
(e). 210⁵
Answer:
Step-by-step explanation:
a) 1012⁵ can be written as:
1012⁵ = 15¹² + 05¹¹ + 1*5¹º
= 5¹² + 5¹º
= 3125 + 625
= 3750
(b) 101⁵ can be written as:
101⁵ = 15⁴ + 05³ + 1*5²
= 5⁴ + 5²
= 625 + 25
= 650
(c) 1.1⁵ can be written as:
1.1⁵ = 15¹ + 15º
= 5¹ + 5º
= 25 + 5
= 30
(d) 10.21⁵ can be written as:
10.21⁵ = 15² + 05¹ + 25º + 15⁻¹
= 5² + 2*5º + 5⁻¹
= 25 + 10 + 0.2
= 35.2
(e) 210⁵ can be written as:
210⁵ = 25⁴ + 15²
= 2*625 + 25
= 1250 + 25
= 1275
This function vertically stretches y = √x by a factor of 3, then translates it 2 units left.
We get 3y= √(x+2) after vertically stretches by 3 and translated 2 unit left.
What means vertically stretches?If a function is multiplied by a positive value that greater than 1, the graph of function is called vertically stretched graph. Here vertically stretches means the factor 3>1 and we need to multiply the y value by 3.
What means by translate 2 unit left?Translation of a graph means move the graph from one position to another position without changing its size, shape or orientation. Here, the graph is translated 2 units left so we need to add 2 with the x value.
We are given a graph, y= √X
Hence, after transformation the graph became 3y= √(x+2)
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Jeff took out a 15 year unsubsidized loan for $9.800 to attend four years of college. The rate is 4.3%. How much interest accrued in the first four-and-a-half years
The interest accrued in the first four years is $1.69 and a half years is $0.21.
What is interest rate?
The amount that the lender charges the borrower above and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.
Given:
Jeff took out a 15 year unsubsidized loan for $9.800 to attend four years of college.
The rate is 4.3%.
We have to find the interest accrued in the first four-and-a-half years.
First to find the interest for first four years.
p = $9.800, r = 4.3% = 0.043, t = 4
⇒ I = P x r x t
I = 9.800 x 0.043 x 4
I = 1.6856
I = $1.69
Now to find the interest for a half years.
p = $9.800 , r = 4.3% = 0.043, t = 1/2
I = p x r x t
I = 9.800 x 0.043 x 1/2
I = 0.2107
I = $0.21
Hence, the interest accrued in the first four years is $1.69 and a half years is $0.21.
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The answers are circled I need the process on how to get them
Answer:
1. 15cm,
2. 22.5ft
3. 24in
4. 24.2m
5. 8.9m
Step-by-step explanation:
1. √(9²+12²) = 15cm
2. √(8²+21²) = 22.47 ft = 22.5ft
3. 7²+x²=25²
x =√(25²-7²) = 24 in
4. √(15²+19²) =24.2 m
5. √(4²+8²) = 8.9m
all the answers related to the pythogorus theorem.
a²+b²=c²
in which a and b are the legs of the right angled triangle where c is the hypotenuse.
note: be careful abt the units.
received the new experimental drua. 23 subiects were assigned to the control group and received a standard, well-known treatment. after a suitable period. the reduction in blood pressure for each subiect was recorded. thev are going to conduct a test at a 5% sianificance level to see if the mean reduction in blood pressure is different between the arouos. the resultina statistics are as follows:
To determine if the mean reduction in blood pressure is different between the two groups, you can use a statistical test such as a two-sample t-test. This test compares the means of two groups and determines whether the difference between the means is statistically significant.
To conduct the t-test, you will need the following information:
The sample size of each group (number of subjects in each group)The mean reduction in blood pressure for each groupThe standard deviation of the reduction in blood pressure for each groupThe level of significance (in this case, 5%)Once you have this information, you can use a statistical software or calculator to perform the t-test and determine the p-value. The p-value is a measure of the probability that the difference between the means is due to chance.
If the p-value is less than the level of significance (5% in this case), then the difference between the means is statistically significant and you can conclude that there is a significant difference in the mean reduction in blood pressure between the two groups.
If the p-value is greater than the level of significance, then the difference between the means is not statistically significant and you cannot conclude that there is a difference in the mean reduction in blood pressure between the two groups.
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The sum of the measures of angle A and angle B equals 90°.
sin A = 0.555 cos A = 0.832
What is cos B?
By using trigonometry, it can be calculated that -
cos B = 0.555
What is Trigonometry?
Trigonometry is a branch of mathematics that studies the relationships between angles and sides of triangles. It is used to solve problems involving lengths and angles of triangles, as well as circles and other shapes. Trigonometry is used in physics, engineering, and astronomy, and it has applications in the fields of navigation, surveying, and seismology. Trigonometry is based on the study of ratios and inverse functions, and it can be used to calculate the area of a triangle and its angles.
There are six trigonometrical functions. They are
[tex]sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]
Trigonometry is a very important tool in mathematics.
Here, trigonometry will be used
sin A = 0.555 cos A = 0.832
A + B = 90
B = 90 - A
cos B = cos(90 - A) = sin A = 0.555
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Helppp!!! 8 grade!!
Step-by-step explanation:
for question 1, the change in y is the highest value takeaway the lowest value.
change in y = 10 - 1 = 9
change in x = 6 - (-3) = 9
9/9 = 1
therefore m = 1, this works for all the questions
{(-6, -8), (3, 2), (0, -8), (7,-6)} is this a function
Answer:
yes
Step-by-step explanation:
A merchant has coffee worth $50 a pound that she wishes to mix with 20 pounds of coffee worth $80 a pound to get a mixture that can be sold for $60 a
pound. How many pounds of the $50 coffee should be used?
9 pounds of the $50 coffee should be used
What is word problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
let's let p = the pounds of coffee we need.
50p + 80(20) = 6(p+ 20)
The total price of the $50 coffee is going to be the pounds x price per pound. The total amount of coffee is the number of pounds of each added together.
From the equation above 50p + 80(20) = 60(p+ 20)
expanding the brackets and collecting like terms
50p + 1600 = 6p + 120
50p - 6p = 1200 - 1600
44p= 400
p= 9
Therefore, 9 pounds of $50 coffee should be used
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03 Multiple Choice
Select all of the expressions that are equivalent to (9x+6)-(8x-4).
M. 2(x + 1)
P. 2x+6
R. 2x + 2
S. 2(x + 3)
T.
8x
OE
0/20
Answer:
The answer is (x + 10)
Step-by-step explanation:
(9x + 6) - (8x - 4)
9x + 6 - 8x + 4
Rearrange it
9x - 8x + 6 + 4
Combine like terms
x + 10
Thus, The answer is (x + 10)
Match the correct statement with the given information.
The correct statements regarding the transformations to the volumes are given as follows:
1. A cone's radius increases x 3: -> The cone's volume will increase x 9.
2. A cone's height increases x 3: -> The cone's volume will increase x 3
3. A sphere's radius increases x 3 -> The sphere's volume will increase x 27.
4. A cylinder's radius increases x 6 -> The cylinders volume will increase x 36.
What are the volumes?The volume of a cone of radius r and height h is given as follows:
V = πr²h/3.
Then the scale factors are considered as follows:
If the radius is multiplied by 3, the volume is multiplied by 9, as the volume is squared.If the height is multiplied by 3, the volume is also multiplied by 3, as the power of the variable h is of h.The volume of an sphere of radius r is given as follows:
V = 4πr³/3.
Then when the radius is multiplied by 3, the volume is multiplied by 27, as 3³ = 27, and the radius is cubed in the equation.
The volume of a cylinder of radius r and height h is given as follows:
V = πr²h.
Then if the radius is multiplied by 6, the volume is multiplied by 36, as the variable r is squared in the equation for the volume.
More can be learned about the volume of an sphere at brainly.com/question/10171109
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HELP NEEDED IMMEDIATELY!!!!!!!!!!!!!!!!! Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Robbie, Jennie, Willie, and Kylie played a numbers game. Jennie picked a number but did not tell her friends. Robbie and Willie both picked a number as well, and Jennie described their numbers like this to Kylie.
Robbie picked a number that is nine more than four times Jennie's number.
Willie picked a number that is two less than three times Robbie's number.
Deciding to call her number, n, Jennie asked Kylie to write an expression that describes Willie's number.
Kylie came up with two expressions that equal Willie's number.
Her first expression was
(
n +
) - 2. Simplifying her first expression, her second expression was 12n +
.
The two equations that equal Willie's number are given as follows:
n = 3y - 2.n = 12x + 25.How to obtain the equations?Jennie's number is unknown, hence we use the variable x to refer to her number.
Robbie picked a number that is nine more than four times Jennie's number, hence:
y = 9 + 4x.
(using y to refer to Robbie's number).
Willie picked a number that is two less than three times Robbie's number, hence:
n = 3y - 2.
(using n to refer to Willie's number).
Considering the expression for y, the second expression that describes Willie's number is given as follows:
n = 3(9 + 4x) - 2
n = 12x + 25.
Missing InformationThe problems asks foir the two expressions that equals Willie's number.
More can be learned about a system of equations at https://brainly.com/question/24342899
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