The length of a rectangle is less than three times the width, and the area of the rectangle is . Find the dimensions of the rectangle.

The Length Of A Rectangle Is Less Than Three Times The Width, And The Area Of The Rectangle Is . Find

Answers

Answer 1

SOLUTION:

Case: Area of rectangles

Method:

Let the width be 'w'

The length, 'l' is 5 yards less than three times the width.

Hence,

l = 3w - 5

Since the Area, A = 28 sq yards

\(\begin{gathered} A=l\times w \\ 28=(3w-5)w \\ 28=3w^2-5w \\ 3w^2-5w-28=0 \\ 3w^2-12w+7w-28=0 \\ 3w(w-4)+7(w-4)=0 \\ (3w+7)(w-4)=0 \\ 3w+7=0 \\ 3w=-7 \\ w=\frac{-7}{3}(invalid) \\ OR \\ w-4=0 \\ w=4 \end{gathered}\)

If the width w= 4 yards

Hence,

l = 3w - 5

l = 3(4) -5

l = 12 - 5

l = 7 yards

Final answer:

Length : 7 yd

Width : 4 yd


Related Questions

Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 9 of them are infected. How many elk are likely to be infected?

Answers

When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Calculation of the number of elk:

Since the population is 6,750.

The random sample is 50.

So here be like

\(6750\) ÷ \(50\) × \(9\)

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

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What is the missing label

What is the missing label

Answers

Answer:9/12

Step-by-step explanation:

Answer:

3/12 or 1/4

Step-by-step explanation:

hellllppppppppppppppppp

hellllppppppppppppppppp

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Answer:

Step-by-step explanation:

the third one

a) Fill in the table of values for
the equation y = 2x - 3
х 0 1 2
Y

Answers

Answer:

x 0 1 2

y -3,-1,1

Step-by-step explanation:

HELP
-determine the new balance,
6. Your balance was $39.75 on May 23. Your May 30 deposit was $156, 90,
On June 1, you wrote a $34.79 check and withdrew $50.00 from an ATM

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Answer:

200.96 should be the answer

Is it possible to solve 3 equations with 4 variables?

Answers

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

What is linear system?

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

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Evaluate 1.8 raised to the seventh power divided by 1.8 raised to the sixth power, all raised to the second power. 1 1.8 3.24 3.6

Answers

The value is 3. 24. Option C

What is index form?

Index form is defined as the power or exponent that is raised to a number or a variable.

From the information given, we have the expression to be represented as;

\((\frac{(1.8)^7}{1. 8^6} )^2\)

Now, we have to expand the exponential value of the bracket, we have;

\(\frac{(1. 8)^7^*^2}{(1. 8)^6^*^2}\)

expand the bracket

\(\frac{(1.8)^1^4}{(1.8)^1^2}\)

Using the laws of laws of indices, take the inverse of the denominator

(1. 8)^14-12

(1. 8)²

3. 24

Thus, the value is 3. 24. Option C

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Answer:

3.24

Step-by-step explanation:

please help me there is a lot of point fastest one get its

please help me there is a lot of point fastest one get its

Answers

Answer:

3%

Step-by-step explanation:

It says 21 out of 700 are defective

What we're trying to find: "21 is what % of 700"

We can divide 21/700 to get that answer

21/700 = 0.03 which is 3%

We can set a ratio also

21/700 = x/100

If we cross multiply and divide we end up with

700x = 2100

Divide both by 700 and you get 3... 3%

What happens if the residual is negative?

Answers

When the residual is negative it represents the predicted value is very much high.

A residual represents the measure of how well a line fits for the given  individual data points which were plotted on the graph. Residual plot is representation on the graph which shows the residuals on the vertical axis also independent variable on the horizontal axis of the graph.If the residual value is positive it represents the predicted value is very low on the regression line.If the residual value is negative it represents the predicted value is very high on the regression line.

Therefore, the negative residual value on the regression line represents the predicted value is very much high.

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1. when do we want to use correlation rather than using anova? please provide an example. 2. please explain why partial correlation is useful and provide an example.

Answers

When to use correlation instead of ANOVA: Correlation and analysis of variance (ANOVA) are both statistical techniques used to examine relationships between variables.

However, they have different purposes and are used in different scenarios. Use correlation when:

You want to measure the strength and direction of the linear relationship between two continuous variables.

You are interested in assessing the degree of association between variables without any specific grouping or experimental design.

You want to determine if there is a linear relationship between two variables but not necessarily determine if one variable affects the other.

Example: Suppose you want to examine the relationship between the hours spent studying and the exam scores of a group of students. By calculating the correlation coefficient (such as Pearson's correlation coefficient), you can assess whether there is a linear relationship between the two variables.

Use ANOVA when:

You want to compare means across two or more groups or categories.

You have a categorical independent variable and a continuous dependent variable.

You want to determine if there are statistically significant differences between the means of the groups.

Example: Imagine you are studying the effect of different fertilizer treatments on the growth of plants. You divide the plants into three groups, each receiving a different fertilizer treatment. By conducting an ANOVA, you can determine if there are significant differences in the mean growth among the three fertilizer groups.

In summary, correlation is used to measure the strength and direction of a linear relationship between two continuous variables, while ANOVA is used to compare means across different groups or categories.

The usefulness of partial correlation and an example:

Partial correlation is a statistical technique that measures the degree of association between two variables while controlling for the effects of one or more additional variables. It allows you to examine the relationship between two variables while holding other variables constant or controlling for their influence.

Partial correlation is useful in the following scenarios:

When you want to assess the relationship between two variables after accounting for the effects of other potentially confounding variables.

When there is a possibility that the relationship between two variables might be explained or influenced by other factors, and you want to isolate the direct association between them.

Example: Suppose you are studying the relationship between income and education level, but you suspect that age might confound this relationship. By calculating the partial correlation coefficient between income and education, controlling for age, you can examine the association between income and education while removing the influence of age.

By using partial correlation, you can better understand the direct relationship between two variables by accounting for the potential effects of other variables that might distort or confound the relationship. It allows you to isolate and assess the unique association between two variables of interest.

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If snow has been falling at the rate 3 degrees Celsius per hour, what will the temperature be in 2 hours?

Answers

Answer:

-6°

Step-by-step explanation:

x(original temperature)

t (time)

r (rate)

original x-(r×t)

Q) x-(2×-3)

=x-6

Given PQRS is a square, solve for x.

Given PQRS is a square, solve for x.

Answers

Answer:

x = 11

Step-by-step explanation:

The angles in a square are right , that is 90°

The diagonals bisect the angles , then

6x - 21 = 45 ( add 21 to both sides )

6x = 66 ( divide both sides by 6 )

x = 11

a=4,n=8,7=2,x=10
do anybody know
what the answer
is;l

Answers

Answer: The answer to this question would either be 8 or it would be 7.

question:

$1.59 for 12 shells

Answers

Answer:

about $0.13

Step-by-step explanation:

Answer:

13 cents

Step-by-step explanation:

1.59 divided by 12

which variety of nonrandom sampling takes proportions into consideration?
a) convenience
b) judgment
c) quota
d) purposive

Answers

The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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The temperature in an oven increases by 8 degrees every minute. If the starting temperature of the oven is 250. What will the temperature be in 3 minutes?

Answers

Answer: 274 degrees.

Step-by-step explanation:

If the temperature in an oven increases by 8 degrees every minute, then in 3 minutes the temperature will increase by 8 x 3 = 24 degrees.

Therefore, the temperature in the oven after 3 minutes will be:

250 + 24 = 274 degrees.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS

Answers

Answer:

1/6

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

the second one

Step-by-step explanation:

1/6

brainliest pls

63% of all bald eagles survive their first year of life. give your answers as decimals, not percents. if 47 bald eagles are randomly selected, find the probability that

Answers

The likelihood that 27 bald eagles will live is 0.8626 when 63% of all bald eagles survive their first year.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

The probability is equal to the variety of possible outcomes. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 1/2 is what we write.

Here n=47

p=0.63 (as 63%)

P(X=27) :

\(\left \{ {{n} \atop {x}} \right. P^{x} * (1-P)^{n-x} \\\\\left \{ {{47} \atop {27}} \right. 0.63^{27} x * (1-0.63)^{47-27} \\\)

P(X=27) = 0.8626

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Correct Question:

63% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 47 bald eagles are randomly selected, find the probability that : Exactly 27 of them survive their first year of life.

An internet company reported that its earnings will be less than the 24 cents per share that was predicted

Answers

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

in a random sample of 119 homeowners selected from a large city, 22 said that they had serious problems withexcessive noise from their neighbors. (round the final answers in parts a
a) Construct a 99% confidence interval for P , the population proportion of the homeowners who have had serious problems with excessive noise.
b) give one sentence interpretation of your confidence interval
c) Suppose the researcher decided that he wanted to obtain a shorter confidence interval than the one calculated above. This could be accomplished by:
1. Using a lower level of confidence
2. Using a larger sample size
3. using a higher level of confidence
4. Both 1 & 2

Answers

a) To construct a 99% confidence interval for the population proportion (P) of homeowners who have had serious problems with excessive noise, we can use the following formula:

CI = P ± Z * sqrt((P * (1 - P)) / n)

Where:

- P is the sample proportion (22/119 = 0.1849).

- Z is the critical value corresponding to the desired confidence level (99% confidence corresponds to a Z-value of approximately 2.576).

- n is the sample size (119).

CI = 0.1849 ± 2.576 * sqrt((0.1849 * (1 - 0.1849)) / 119)

Calculating this expression will give us the lower and upper bounds of the confidence interval.

b) The 99% confidence interval for P, the population proportion of homeowners who have had serious problems with excessive noise, is (0.125, 0.244).

One possible interpretation of this confidence interval is that we are 99% confident that the true proportion of homeowners in the population who have had serious problems with excessive noise falls between 12.5% and 24.4%.

c) To obtain a shorter confidence interval:

1. Using a lower level of confidence: No, using a lower level of confidence (e.g., 95% instead of 99%) would actually result in a wider confidence interval because it allows for more uncertainty.

2. Using a larger sample size: Yes, increasing the sample size would lead to a smaller margin of error and a narrower confidence interval. This is because a larger sample size provides more precise estimates of the population proportion.

3. Using a higher level of confidence: No, using a higher level of confidence (e.g., 99.9% instead of 99%) would result in a wider confidence interval because it requires a higher level of certainty and allows for less uncertainty.

4. Both 1 & 2: The correct answer is 4. Using both a larger sample size and a lower level of confidence would result in a shorter confidence interval. Increasing the sample size and lowering the confidence level both contribute to reducing the margin of error and narrowing the interval.

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What is another name for an ordered subset?
A. Probability
B. Combination
C. Permutation​

Answers

Answer: b

Step-by-step explanation:

help i need help! please help

help i need help! please help

Answers

Anwser: its the secend answer

Step-by-step explanation: have had the smae question

Carrie buys 7/8 pound of red apples and 15/16 pound of green apples. Which answer is the most accurate estimate for how many more pounds of green apples she buys than pounds of red apple?
0 Pounds
1 Pound
1/2 Pounds (10 Points)

Answers

Answer:

0 pounds

Step-by-step explanation:

To bring \(\frac{7}{8}\) to 16ths it goes to \(\frac{14}{16}\)

Evaluate 3x^2+1 when x=-1

Answers

Answer:

10

Step-by-step explanation:

3(-1)=-3

-3^2=9

9+1=10

3. (4 points) Find f(x) if f(0) = 0 and the tangent line to f(x) at the point (x, f(x)) has slope e - 1.

Answers

The function f(x) is f(x) = (e - 1)x.

To find the function f(x) given that f(0) = 0 and the tangent line to f(x) at the point (x, f(x)) has slope e - 1, we need to integrate the given slope to obtain the function.

The slope of the tangent line is equal to the derivative of the function at that point. Since the slope is e - 1, we have:

f'(x) = e - 1

To find f(x), we integrate the above equation with respect to x:

∫ f'(x) dx = ∫ (e - 1) dx

Integrating, we get:

f(x) = (e - 1)x + C

where C is the constant of integration.

Since f(0) = 0, we can substitute x = 0 and f(x) = 0 into the equation to find the value of C:

0 = (e - 1)(0) + C

0 = C

Therefore, the function f(x) is given by:

f(x) = (e - 1)x

So, f(x) = (e - 1)x.

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Barium-122 has a half-life of 2 minutes. A fresh sample weighing 100 g was obtained. If it takes 6 minutes to set up an experiment using barium-122, how much barium-122 will be left when the experiment begins?.

Answers

If it takes 6 minutes to set up an experiment using barium-122, then  12.5g of  barium-122 will be left when the experiment begins

Half life of barium-122 = 2 min

Mass of sample = 100 g

Mass of barium remain after 6 min = ?

Number of half lives = Time elapsed / half life

Number of half lives = 6 min/ 2 min

Number of half lives = 3

At time zero = 100 g

At 1st half life = 100 g/2 = 50 g

At 2nd half life = 50 g/2 = 25 g

At 3rd half life = 25 g/2 = 12.5 g

Therefore, If it takes 6 minutes to set up an experiment using barium-122, then  12.5g of  barium-122 will be left when the experiment begins.

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5 less than a number is equivalent to 1 more than three times the number

Answers

Answer:

x - 5 = 3x + 1

-6 = 2x

x = -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

x - 5 = 3x + 1

-6 = 2x

x = -3

Will give Brainliest if right

Will give Brainliest if right

Answers

The value of x is 14 and the value of y is 7√3.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know sin is opposite/hypotenuse

∴ sin30° = 7/x.

1/2 = 7/x.

x = 14.

We also know that tan is opposite/adjacent.

tan30° = 7/y.

1/√3 = 7/y.

y = 7√3.

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please take a pic of all the quiz answers of this please I NEED IT QUICK!!!

please take a pic of all the quiz answers of this please I NEED IT QUICK!!!

Answers

The sum of the given fraction is -1/3

Sum of fractions

Fractions are expressions written as a ratio of two integers

Given the expression below;

5/6+(-1 1/6)

Convert the mixed fraction into improper fraction

5/6+(- 7/6)

Expand

5/6 - 7/6

Subtract

-2/6

-1/3

Hence the sum of the given fraction is -1/3

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1/6,3/5,11/730,9/9,53% Ordering Fractions Calculator | How to Sort the fractions in order?

Answers

The fractions in ascending order are: 11/730, 1/6, 3/5, 1

To sort fractions in order, you can follow these steps:

Convert all the fractions to a common denominator. In this case, the denominators are 6, 5, 730, and 9.

1/6 = 3650/21900

3/5 = 13140/21900

11/730 = 33/21900

9/9 = 1

Compare the numerators of the fractions while keeping the denominator constant. Arrange the fractions in ascending or descending order based on the numerators.

33/21900 < 3650/21900 < 13140/21900 < 1

If the numerators are the same, compare the denominators. Fractions with smaller denominators should come first.

33/21900 < 3650/21900 < 13140/21900 < 1

Convert the fractions back to their original form if needed.

13140/21900 = 3/5

9/9 = 1/1

3650/21900 = 1/6

33/21900 = 11/730

So, the fractions in ascending order are:

11/730, 1/6, 3/5, 1

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