Solve the following questions. Show the complete solution.
Answer please
wrong answer-reported
Answer:
2)
Step-by-step explanation:
Explanation:
Area=Length×Length
100=(Length)2
The ratio of money in Terry's bank account to Faye's bank account was 3:5. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did they initially have altogether?
Answer:
Let the common ratio be x then
The amount of money in Terry' S Bank account will be 3x and that in Faye's Band Account will be 5x. So
According to question:
3x+£220=5x-£300
£220+£300=5x-3x
£520=2x
x=£210
Balance of Terry:3x
3×£210
£630
Balance of Faye=5x
5×£210
£1050
Money Altogether=£1050+£630
= £1680
Money Altogether in their account is £1680
Step-by-step explanation:
^
aerobic dancing study: a researcher wants to know which exercise program is more effective in reducing body mass index (bmi) in 60 to 70 year-old individuals with diabetes: 1) a 20 minute aerobic dancing program or 2) a 20 minute walking program. the participants in the research project will be 60 volunteers living in a large gated retirement community. participants will be randomly assigned to either the aerobic dancing group or the walking group. participants will exercise for 20 minutes a day three days a week for six months. participants will have height and weight measurements taken (in order to calculate bmi) before and after this six-month program. changes in bmi between the two groups will be compared. in the aerobic dancing study, which is the dependent variable?
As per the BMI, the dependent variable is outcome
In this study, the researcher wants to compare the effectiveness of two different exercise programs in reducing BMI in individuals with diabetes. The participants will be randomly assigned to either the aerobic dancing group or the walking group, and their BMI will be measured before and after the six-month exercise program.
The changes in BMI between the two groups will be compared to determine which exercise program is more effective in reducing BMI in this population. The dependent variable in this study is the change in BMI, as it is the outcome that is being measured and compared between the two groups.
Overall, this study will provide valuable insights into the effectiveness of different exercise programs in reducing BMI in older adults with diabetes, which can have important implications for their overall health and wellbeing.
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2. The length of a football field is 7 feet shorter than triple the width. Let n represent the width. Which expression gives the length of the football field? a. 3 n + 7 b. 3n-7 C. 3(n-7) d. 3(n+7)
To determine the expression that represents the length of the football field, let's analyze the given information.
The length of the football field is stated to be 7 feet shorter than triple the width. Let's represent the width with the variable 'n'.
Triple the width would be 3n. To account for the 7 feet shorter length, we subtract 7 from triple the width.
Hence, the expression that gives the length of the football field is:
3n - 7
Option (b) in the given choices, "3n - 7", matches this expression and correctly represents the length of the football field
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let g be a digraph and let a, b, c ∈ v(g). prove that dist(a, c) = dist(a, b) dist(b, c) iff b is on a shortest path from a to c.
The path b must be on the shortest path from a to c.
Let g be a digraph and let a, b, c ∈ v(g). Prove that dist(a, c) = dist(a, b) dist(b, c) iff b is on a shortest path from a to c.
It is required to prove that dist(a,c) = dist(a,b) + dist(b,c) if and only if b is on a shortest path from a to c.Assume that b is on a shortest path from a to c. That is, the length of the shortest path between a and c is equal to dist(a, b) + dist(b, c). Therefore, dist(a, c) = length of the shortest path from a to c.
But, dist(a, c) = dist(a, b) + dist(b, c) as per the given condition. Therefore, length of the shortest path from a to c = dist(a, b) + dist(b, c). Hence, the statement is true.Conversely, if dist(a, c) = dist(a, b) + dist(b, c), it can be proven that b is on the shortest path from a to c.
Assume that there is a shorter path from a to c that does not include b. Then, the length of that path is less than dist(a, b) + dist(b, c), which contradicts the given condition.
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You put $500 in a savings account. The account earns 3% simple interest per year. What is the Interest earned after 3 years?
What is the Balance after 3 years?
Answer:
balance after 3 years is $545.
Step-by-step explanation:
we can use the formula for simple interest:
Interest = Principal × Interest Rate × Time
Given:
Principal (P) = $500
Interest Rate (R) = 3% = 0.03 (expressed as a decimal)
Time (T) = 3 years
Let's calculate the interest earned first:
Interest = $500 × 0.03 × 3
= $45
Therefore, the interest earned after 3 years is $45.
To calculate the balance after 3 years, we add the interest earned to the principal:
Balance = Principal + Interest
= $500 + $45
= $545
Therefore, the balance after 3 years is $545.
how many kilograms are in 44 pounds? 1 kg=2.2lbs
Answer:
20 kilograms
Step-by-step explanation:
Answer:
About 19.95 kilograms
Step-by-step explanation:
Hope this helped! :)
Carlos writes down a 4 digit number the number is a mulltiple of 3 and 5 two of its digits are square numbers Two of its digits are prime numbers complete his number 4, 9 - - find the remaining 2 numbers
Since we know that 2 and 3 are the remaining numbers but not their equation order, the four-digit number that meets all the requirements is either 4932 or 9432.
What is equation?A mathematical equation is a process that links two statements and indicates equivalence with the equals sign (=). In mathematics, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two lines that are written on opposite sides of a letter. In many cases, the logo and the particular program are identical. as in 2x – 4 = 2, for instance.
First off, we are aware that the figure is a multiple of 3 and 5. The quantity must therefore be a multiple of 15.
Due to the square nature of two of the numerals, they must either be 1, 4, or 9. The fact that one of the numbers is 4 and the other is 9 is already known, though.
The fact that two of the digits are prime integers is another thing we know. We only have access to the prime numbers 2, 3, 5, and 7.
Since we know that 2 and 3 are the remaining numbers but not their order, the four-digit number that meets all the requirements is either 4932 or 9432.
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Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset
d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.
The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.
While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.
Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.
It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.
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Pls help with this I started it but I don't know what to do next
Answer:
There is nothing there lol, If you attach something i may be able to help :)
Step-by-step explanation:
Could two samples have the same range but different means? Explain. surements: nedian: n (ne The standard deviation indicates how measurements vary about the mean. The standard deviation is easy t0 cal- culate. Begin by calculating the mean, measuring the devia- tion of each sample from the mean, squaring each deviation and tnen summing the deviations. This summation results in the sum of squared deviations. For example, consider group of shrimp that are 22, 19, 18, and 21 cm long: The mean length of these shrimp is 20 cm: leaf eaf was Mean Deviation (Deviation} Sample Value
Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.
To illustrate this concept, let's consider two different samples:
Sample 1: 1, 5, 6, 9, 10
Sample 2: 2, 4, 7, 8, 10
Both samples have a range of 9 (10 - 1).
However, the means of the samples are different. The mean of Sample 1 is
(1 + 5 + 6 + 9 + 10) / 5 = 6.2,
while the mean of Sample 2 is
(2 + 4 + 7 + 8 + 10) / 5 = 6.2.
Despite having the same range, the means differ between the two samples.
The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.
Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.
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Normal curve g has a mean of 50 and a standard deviation of 5. Normal curve h has a mean of 50 and a standard deviation of 10. How do the shapes of these two normal curves compare if they are drawn using the same scale?.
Drawn using the same scale, the shape of the normal curve H will be more spread out than the shape of the normal curve G.
Normal curve, or Gaussian distribution, is a curve that describes data form a variable that has infinite, or very large, number of possible values distributed among the population. It has a symmetric shape, and the distribution rises in the middle, and goes down to the left and to the right. The mean is equal to the mode and median and is located at the middle or top of the curve.
If two normal curves have the same mean, but different standard deviations, then the curve with the larger standard deviation will have a more spread out shape than the other.
If Normal curve H has a standard deviation of 10 and normal curve G has 5, but both has the same mean, then Normal curve H has a more spread out shape than the curve of normal curve G.
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Solve for n !
\( \large{ \gray{ \frak{3x+5= 4(n - 5) \frac{6}{3} }}}\)
Thank You!
Answer:
n = (3/8)x+(45/8)
Step-by-step explanation:
3x+5 = 4(n-5)*(6/3)
Is this written correctly?
3x+5 = 4(n-5)*(6/3)
3x+5 = 8(n-5) [Simplify: {4*(6/3) = 8)]
3x+5 = 8n-40 [Expand the parentheses]
8n-40 = 3x+5 [Rearrange]
8n = 3x+5 + 40 [Rearrange]
8n = 3x+45 [Simplify]
n = (3x+45)/8 [Divide both sides by 8]
n = (3/8)x+(45/8) [Rearrange]
HELP PLEASE SHOW ME HOW TO DO THIS
Answer:
Step-by-step explanation:
Salary increase in 2 years = Salary in fifth year - salary in 3rd year
= 87,023 - 43,250
= $ 43,773
Salary increase per year= 43773/2 = $ 21,886.50
What alternative best describe the language represented by the following regular expression? Group of answer choices Strings do not have 2 consecutive 0s. Strings that only start with 1. Strings do not have 2 consecutive 1s. Strings that consist of alternating 0s and 1s.
An alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.
What is a regular expression?A regular expression (abbreviated regex or regexp; sometimes known as a rational expression) is a string of letters that indicates a search pattern in the text. String-searching algorithms typically use such patterns for "find" or "find and replace" operations on strings, as well as input validation. In theoretical computer science and formal language theory, regular expression techniques are developed.As an example: Strings do not have two consecutive 0s, which is an alternative that best describes the language represented by the following regular expression (0∪ε)(1∪10).Therefore, an alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.
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The complete question is given below:
What alternative best describes the language represented by the following regular expression?
(0∪ε)(1∪10)
Group of answer choices
(A) Strings do not have 2 consecutive 0s.
(B) Strings that only start with 1.
(C) Strings do not have 2 consecutive 1s.
(D) Strings that consist of alternating 0s and 1s.
En el consultorio de Jorge, el 40 % de los
pacientes fingen tener una enfermedad (para
obtener un certificado médico). Además, el 10 %
de los pacientes del consultorio son hombres. La
probabilidad de que un paciente finja una
enfermedad dado que es hombre, es del 50 %.
Calcular la probabilidad de que un paciente sea
hombre, dado que finge una enfermedad.
Por definición de probabilidad condicional, la probabilidad de que un paciente sea hombre, dado que finge una enfermedad es 12,5 %.
Definición de probabilidadEn primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.
En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.
Definición de probabilidad condicionalLa probabilidad condicional P(A|B) es la probabilidad de que ocurra un evento A, sabiendo que también sucede otro evento B. Esto es, es la probabilidad de que ocurra el suceso A si ha ocurrido el suceso B. Se define como:
P(A|B) = P(A∩B)÷ P(B)
Probabilidad de que un paciente sea hombre, dado que finge una enfermedad.En este caso, se llama suceso A al evento de que los pacientes fingen tener una enfermedad (para obtener un certificado médico), mientras que el suceso B será el evento de que los pacientes del consultorio son hombres.
Siendo el suceso A∩B (A intersección B) cuando A y B ocurren simultáneamente, entonces sabes:
P(A)= 40%=0,4P(B)= 10%= 0,1P(A|B)= 50%= 0,5Entonces, la probabilidad de que un paciente finge una enfermedad, dado que el paciente es un hombre es calculada como:
P(A|B) = P(A∩B)÷ P(B) → P(A∩B)= P(A|B)× P(B)
Reemplazando los valores correspondientes:
P(A∩B)= 0,5× 0,1
Resolviendo:
P(A∩B)=0,05
Finalmente, la probabilidad de que un paciente sea hombre, dado que finge una enfermedad, es calculada como:
P(B|A) = P(A∩B)÷ P(A)
Reemplazando los valores correspondientes:
P(B|A) = 0,05÷ 0,4
Resolviendo:
P(A∩B)=0,125= 12,5 %
Finalmente, la probabilidad de que un paciente sea hombre, dado que finge una enfermedad es 12,5 %.
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Serenity filled up her car with gas before embarking on a road trip across the country. Let � G represent the number of gallons of gas remaining in her gas tank after driving for � t hours. A graph of � G is shown below. Write an equation for � G then state the � y-intercept of the graph and determine its interpretation in the context of the problem.
The equation is: G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
How to find the linear equation of the graph?The formula for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the graph, we see that:
y-intercept = 15 gallons
Now, the slope is gotten from the formula:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (10 - 5)/(4 - 8)
Slope = -⁵/₄
Thus, equation is:
G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
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what is the image of the point (4,-8) rotated 90 degrees counterclockwise
Answer:
(8,4)
Step-by-step explanation:
The rule is (x,y) becomes (-y,x)
26. A square garden of side 10 m has its corners filled with flowers. The corners are
squares of side 1m. What is the
i) Area of garden
ii) Area of each flower bed
Hi) Area of the remaining garden
iv) Length of the fence around the garden
v) Cost of planting grass in the remaining figure at the rate of 20 per sqm
Answer:
wooohohh what is that it's not a question lol i can't find the question to answer youu
Help me pls and thanks
A solution of a given equation is -3. An equation that would make this solution true: -10 + x = -13
Now that you have seen an example. Write TWO equations where the solution of the equation equals 6.
Answer:
X = 6.
7 + X - 2 = 11
(9 + x) x 3 = 45
Find the linear equation for the following functions
Answer:
1st one) y = x - .8
Step-by-step explanation:
1st one) you start by finding the slope of the line which can be found with y1 - y2/x1 - x2 (in this case: 3.6-2.4/2-1 which = 1/1, or the slope is one). now that we know the slope we need to find the x intercept or the point that the line intercepts the x axis, or when y = 0. We know that that for every one we subtract from x, we subtract one from y (hence the slope 1/1). so when we subtract 1.2 from the y we subtract 1.2 from the x. so the x intercept is -.8. If we put this in y = mx+b we get y = x - .8
2nd one) you do the same thing for the 2nd one then
a=10 and b=14 and the angle between and b is 150° find a.b
I need help plssssss
Answer:
i cant see the image?
Step-by-step explanation:
if someone can please tell me what is shows
what is the square root of 144?
the right answer is 12 and if you ever need more help just use the app mathaway
n a two by two study, what is the Mean Squared Within (MSW)?Select an answer:the pooled estimate of the variances within the columnsthe pooled estimate of the variances within the row and column interactionsthe pooled estimate of the variances within the rowsthe pooled estimate of the variances within the cells2. How is regression variance measured?Select an answer:Regression variance is based on the sum of squares total of the mean residuals.Regression variance is based on differences between predicated data points and the mean of y.Regression variance is based on the mean squared, and is equal to the sum of the squared deviations.Regression variance is based on the source of the variation, the residual, and the sample size.3. What is the distance in the Y direction from a point to the regression line called?Select an answer:residualsamplevarianceinteraction4. Your data is in the range C1 through 34. In Excel, how will you calculate the median for this data?Select an answer:MEDIAN(C1*C34)MEDIAN_FUNC(C1:C34)MED(C1:C34)MEDIAN(C1:C34)
The answers for regression and median related questions are -
1. Option D
2. Option D
3. Option A
4. Option D
What is median?
In mathematics, the middle number in a sorted list of numbers is referred to as the median. By arranging the numbers, the middle number can be discovered. Ascending order is used to arrange the numbers. The middle number in the ordered set of numbers is referred to as the data set's median.
In a two by two study, what is the Mean Squared Within (MSW)?
Answer: The pooled estimate of the variances within the cells.
How is regression variance measured?
Answer: Regression variance is based on the source of the variation, the residual, and the sample size.
What is the distance in the Y direction from a point to the regression line called?
Answer: Residual.
Your data is in the range C1 through 34. In Excel, how will you calculate the median for this data?
Answer: MEDIAN(C1:C34).
Therefore, the answers are obtained.
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1. In a two by two study, what is the Mean Squared Within (MSW)?
Select an answer:
the pooled estimate of the variances within the columns
the pooled estimate of the variances within the row and column interactions
the pooled estimate of the variances within the rows
the pooled estimate of the variances within the cells
2. How is regression variance measured?
Select an answer:
Regression variance is based on the sum of squares total of the mean residuals.
Regression variance is based on differences between predicated data points and the mean of y.
Regression variance is based on the mean squared, and is equal to the sum of the squared deviations.
Regression variance is based on the source of the variation, the residual, and the sample size.
3. What is the distance in the Y direction from a point to the regression line called?
Select an answer:
residual
sample
variance
interaction
4. Your data is in the range C1 through 34. In Excel, how will you calculate the median for this data?
Select an answer:
MEDIAN(C1*C34)
MEDIAN_FUNC(C1:C34)
MED(C1:C34)
MEDIAN(C1:C34)
TRUE OR FALSE prove or disprove: every subgroup of the integers has finite index.
Every subgroup of the integers has finite index. It is True.
True. Proof: Let H be a subgroup of the integers. By the division algorithm, for any integer n and any positive integer d, there exist unique integers q and r such that n = dq + r and 0 ≤ r < d. In particular, if we take d = |H|, then for any integer n, we have n = dq + r for some integer q and some 0 ≤ r < |H|. This means that any integer n can be written in the form n = h + r for some integer h in H and some 0 ≤ r < |H|. Therefore, the residue classes {h + r : r = 0, 1, ..., |H| - 1} form a complete set of coset representatives for H in Z. Since there are |H| such cosets, it follows that [Z : H] = |H|. Therefore, every subgroup of the integers has finite index.
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For a particular car the linear function f gives the predicted power in brake horsepower
Linear functions are the functions whose graph is a straight line.
How to illustrate the information?The information is incomplete. Therefore, an overview will be given. A linear function has the following form. y = f(x) = a + bx. It has one independent variable and a dependent variable.
A linear function is represented by the equation y = mx + b where:
y: the y-coordinate.
m: the slope of the line.
x: the x-coordinate.
b: the y-intercept
I calculus and related areas, the linear function is a function where the graph is a straight line, which is, a polynomial function of degree zero or one.
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What is the greastest number of acute angles that a triangle can contain?
Answer:
3 acute angles.
Step-by-step explanation:
Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.
An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.
in 10,000 independent tosses of a coin, the coin landed on heads 5800 times. is it reasonable to assume that the coin is not fair? explain.
In 10,000 independent tosses of a coin and the coin landed on heads 5800 times, is it reasonable to assume that the coin is not fair and may be biased towards heads.
In order to determine if the coin is fair or not, we need to calculate the probability of getting 5800 or more heads in 10,000 tosses assuming the coin is fair.
The probability of getting a head on any one toss of a fair coin is 0.5. The number of heads in 10,000 tosses is a binomial random variable with parameters n=10,000 and p=0.5. We can use the normal approximation to the binomial distribution to calculate the probability of getting 5800 or more heads.
The mean of the binomial distribution is np = 5000 and the standard deviation is sqrt(np(1-p)) = 50.
We can standardize the variable X = number of heads in 10,000 tosses by subtracting the mean and dividing by the standard deviation:
Z = (X - 5000) / 50
The probability of getting 5800 or more heads can be calculated as:
P(X >= 5800) = P(Z >= (5800-5000)/50)
Using a standard normal table or calculator, we find that P(Z >= 1.6) = 0.0548.
This means that the probability of getting 5800 or more heads in 10,000 tosses assuming the coin is fair is only 0.0548, which is quite low.
Therefore, it is reasonable to conclude that the coin is not fair and may be biased towards heads.
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