Marshall has a rectangular garden that he wants to enclose with a fence. To calculate the
perimeter, he used the expression below, where represents the width and represents the
length of the garden.
Which other expression could Marshall use to calculate the perimeter?
Answers
Answer:
Step-by-step explanation:
The expression Marshall used to calculate the perimeter of the rectangular garden is:
Perimeter = 2 * (width + length)
However, there is another equivalent expression that Marshall could use to calculate the perimeter:
Perimeter = 2 * width + 2 * length
Both expressions yield the same result and represent the same concept of adding up all the sides of the rectangular garden to determine its perimeter. The first expression groups the addition of the width and length together before doubling it, while the second expression separately doubles the width and length before adding them together.
Related Questions
Evaluate the expression when x=8 and y=7.
x+9y
Answers
Answer: If x=8 and y=7, then x +9y = 71
Step-by-step explanation: Fill in x +9y with the numbers and you get the problem 8 + 9(7)= 8 + 63 = 71 Brainliest please?
Answer:
71
Step-by-step explanation:
8+9(7)=71
if the chi-squared goodness-of-fit test is used with a significance of 0.05 to test whether random values have been appropriately generated by the device, what is the p-value of the test rounded to two places after the decimal, and what is the appropriate decision?
Answers
The random number generation by the device is not appropriate for generating values according to the Binomial distribution with n=5 and p=0.45.
To test whether the generated values follow the expected Binomial distribution, we can use the Chi-squared goodness-of-fit test. The steps to perform this test are as follows
Define the null hypothesis and alternative hypothesis. In this case, the null hypothesis is that the generated values follow the expected Binomial distribution with n=5 and p=0.45. The alternative hypothesis is that the generated values do not follow this distribution.
Choose a significance level. In this case, the significance level is 0.05.
Calculate the expected frequencies for each category of the Binomial distribution with n=5 and p=0.45. We can use the formula for the Binomial distribution to calculate the probabilities, and then multiply them by the total number of observations to get the expected frequencies.
Expected frequency for each category = P(category) x total number of observations
Expected frequency for category 0 = P(0) x 1200 = 0.0176 x 1200 = 21.12
Expected frequency for category 1 = P(1) x 1200 = 0.1284 x 1200 = 154.08
Expected frequency for category 2 = P(2) x 1200 = 0.3574 x 1200 = 428.88
Expected frequency for category 3 = P(3) x 1200 = 0.4162 x 1200 = 499.44
Expected frequency for category 4 = P(4) x 1200 = 0.1949 x 1200 = 233.88
Expected frequency for category 5 = P(5) x 1200 = 0.0055 x 1200 = 6.6
Calculate the Chi-squared test statistic. The formula for the Chi-squared test statistic is:
Chi-squared = Σ ( (observed frequency - expected frequency)^2 / expected frequency )
where Σ is the sum over all categories. Using the expected frequencies and the observed frequencies from the table, we can calculate the Chi-squared test statistic
Chi-squared = ( (28-21.12)^2 / 21.12 ) + ( (168-154.08)^2 / 154.08 ) + ( (423-428.88)^2 / 428.88 ) + ( (459-499.44)^2 / 499.44 ) + ( (105-233.88)^2 / 233.88 ) + ( (17-6.6)^2 / 6.6 ) = 94.67
Calculate the degrees of freedom. The degrees of freedom for the Chi-squared test are equal to the number of categories minus 1. In this case, there are 6 categories, so the degrees of freedom are 5.
Calculate the P-value of the test. We can use a Chi-squared distribution table or a calculator to find the P-value for the Chi-squared test with 5 degrees of freedom and a test statistic of 94.67. The P-value is less than 0.01 (about 0.000000000000000000000000000000000000000001), so we reject the null hypothesis that the generated values follow the expected Binomial distribution with n=5 and p=0.45.
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The given question is incomplete, the complete question is:
A random number generation device is expected to generate random values according to the Binomial distribution with n=5 and p=0.45. To ensure that the device's random number generation is appropriate, 1200 recently generated random values by this device have been organized in the following table. If the Chi-squared goodness-of-fit test is used with a significance of 0.05 to test whether random values have been appropriately generated by the device, what is the P-value of the test rounded to two places after the decimal, and the decision made?
Consider the ordinary differential equation d²x dx + -2x = 0. dt² dt (a) Convert the equation into a system of first order differential equation. (b) Write the system in the form dz(t) = AZ(t), dt where Z: R→ R2 is vector-valued. (c) Compute the associated fundamental matrix solution for the differential equation in (b). (d) Hence find the general solution of (N). (e) Obtain a solution that satisfies Z(0) = (₁¹).
Answers
(a) The given second-order ordinary differential equation can be converted into a system of first-order differential equations.
(b) The system can be written in the form dz(t) = AZ(t), dt where Z(t) is a vector-valued function.
(c) The associated fundamental matrix solution for the differential equation in (b) can be computed.
(d) Using the fundamental matrix solution, the general solution of the system can be found.
(e) A solution that satisfies Z(0) = (₁¹) can be obtained.
(a) To convert the second-order differential equation d²x/dt² - 2x = 0 into a system of first-order differential equations, we introduce a new variable y = dx/dt. This gives us the system:
dx/dt = y
dy/dt = 2x
(b) Writing the system in the form dz(t) = AZ(t), dt where Z(t) is a vector-valued function, we have:
dz/dt = AZ(t), where Z(t) = [x(t), y(t)]^T and A = [[0, 1], [2, 0]].
(c) To compute the associated fundamental matrix solution for the system, we solve the system dz/dt = AZ(t) using matrix exponentiation. The fundamental matrix solution is given by Z(t) = exp(At), where exp(At) is the matrix exponential.
(d) Using the fundamental matrix solution Z(t), we can find the general solution of the system. It is given by Z(t) = C*Z(0), where C is an arbitrary constant matrix and Z(0) is the initial condition vector.
(e) To obtain a solution that satisfies Z(0) = (₁¹), we substitute the initial condition into the general solution and solve for C. The specific steps and computations depend on the given values for (₁¹).
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Graph y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5. NEED HELP PLS
Answers
The graph for the linear equation y = -2x + 5 is plotted and shown in the image attached below.
How to Graph an Equation?If we are given an equation of a line that is expressed in slope-intercept form as y = mx + b, it means that the graph will have a slope = rise / run = the value of m, while it would cut across the y-axis at b, that is the y-intercept.
Given the equation in slope-intercept form as y = -2x + 5, it means that the graph will have a slope that has a ratio of the rise to the run as -2, while the line will intercept the y-axis at y = 5.
Therefore, the graph in the image attached below shows the equation, y = -2x + 5.
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there is _____ rational numbers between any two rational numbers
Answers
Answer:
Infinite
Step-by-step explanation:
There is infinite rational numbers between any two rational numbers.
Example:
Rational number between -2 and 2
-1.9,-1.8,-1.7,-1.6 etc.
Therefore, answer will be Infinite
A park charges $14 for one round of miniature golf and a reduced fee for each additional
round played. If Tom paid $59 for 6 rounds of miniature golf, what is the reduced fee for
each additional round played?
Answers
Answer:
$9
Step-by-step explanation:
A student designed a flag for the school's Gaming Club. The design is rectangular with vertices at (3, 7), (11, −9), and (3, −9). Find the missing vertex and the area of the flag in square inches?
The missing vertex is (−9, 7) with an area of 16 in2.
The missing vertex is (7, 11) with an area of 16 in2.
The missing vertex is (−9, 11) with an area of 128 in2.
The missing vertex is (11, 7) with an area of 128 in2.
Answers
To find the missing vertex, we can use the fact that opposite sides of a rectangle are parallel and have the same length. The length of the side connecting (3, 7) and (3, -9) is 16 units, so the length of the side connecting (11, -9) and the missing vertex must also be 16 units. This means that the missing vertex must be at (11, 7).
To find the area of the rectangle, we can use the length and width of the rectangle, which are the distances between the corresponding vertices. The length is the distance between (3, 7) and (11, 7), which is 8 units. The width is the distance between (3, 7) and (3, -9), which is 16 units. Therefore, the area is length times width, which is 8 times 16, or 128 square inches.
Therefore, the answer is the missing vertex is (11, 7) with an area of 128 in2.
Answer:
(11, 7) with an area of 128 in2.
Step-by-step explanation:
Which table of values represents exponential decay?
Answers
The table of values that represents exponential decay is (c)
How to determine the table of values represents exponential decay?From the question, we have the following parameters that can be used in our computation:
The table of values
An exponential function is represented as
y = abˣ
Where
Rate = b
When the rate is less than 1, then the table represents a decay
i.e when y reduces as x increases
The table that has the above features is the table (c)
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Jody is responsible for creating a survey sample. She forgets, however, to include a segment of the population that is relevant to the study. What sort of sampling error has she created? Group of answer choices Census Ethical Systematic Random
Answers
Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.
Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.
No calculations are required for this type of error.
Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.
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Which is the graph of the function f(x) = x³ + x² + x + 1?
Answers
300 first-time customers of a fashion store were surveyed right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 25% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. what percent of the customers surveyed purchased clothes for at least $100 and reported that they were not overall satisfied with their purchase?
Answers
15% of the shoppers polled said they had spent at least $100 on clothing but weren't overall happy with their buy.
Given data;
300 first-time customers of a fashion store were surveyed. Put 300 in the Total/Total box.
60% of the customers in the survey had purchased clothes for less than $100. Put
60% * 300 = 180 in the Below-100/Total box.
40% of the customers in the survey reported they were overall satisfied with their purchase. Put
40% * 300 = 120 in the Sat./Total box.
25% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. Put
25% * 180 = 45 in the Below-100/Sat. box.
Now,
Percent of the customers surveyed purchased clothes for at least $100 and reported that they were not overall satisfied with their purchase;
∴ 45 is what percent of 300;
⇒ 45 = x/100 * 300
x = 45/3
x = 15
15% of the customers surveyed purchased clothes for at least $100 and reported that they were not overall satisfied with their purchase.
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What 2 facts can you double to find 8 * 4?.
Answers
The two facts that we can double to find 8 × 4 is (4 and 4) .
The Double Facts are the number that repeat two time .
For Example : 2 × 2 , 4 + 4 .
The two facts of a number that is doubled is represented as :
2 * b = c
the value of c is given as 8*4 = 32 .
2 * b = 32
dividing both sides of the equation 2 * b = 32 by 2 , we get
b = 32/2 ,
Simplifying further ,
we get ,
b = 16 .
which in double can be written as 4 × 4 ,
that means 2(4×4) = 2(16) = 32 .
Therefore , The two facts that we can double to find 8 × 4 is 4 and 4 .
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A building produces a shadow that is 73 feet long when the elevation of the sun is 59°. What is the height of the building to the nearest foot? It may be necessary to draw a picture to work through this problem.
Answers
The height of the building to the nearest foot is 121.5 ft.
How to find height of the building?The height of the building can be found using trigonometric ratios.
Therefore,
tan 59° = opposite / adjacent
tan 59°= h / 73
cross multiply
h = 73 tan 59°
h = 73 × 1.66427948235
h = 121.492402212
h = 121.5 ft
Therefore, the height of the building to the nearest foot is 121.5 ft.
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4.) Are imperfect square roots rational or irrational?
Answers
Answer:
Irrational
Step-by-step explanation:
Answer:
Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).
Step-by-step explanation:
Hope this helps - Good luck ^w
Find the value of x that makes the quadrilateral a parallelogram when AE=5x+28 and CE=3x+36.. plz help
Answers
Step-by-step explanation:
correct correct answer of this question is option d x equals to 4
please mark my answer as brain list and also vote me
Based on the properties of the diagonals of a parallelogram, the value of x that makes the quadrilateral a parallelogram is: x = 4.
What are the Diagonals of a Parallelogram?The diagonals of a parallelogram bisects each other into equal segments.
Therefore, we would have:
AE = CE
Substitute
5x + 28 = 3x + 36
5x - 3x = -28 + 36
2x = 8
x = 8/2
x = 4
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My teacher keeps saying it’s wrong pls help, it’s question number 5
Which is an irrational number?
Answers
9514 1404 393
Answer:
A √2 is an irrational number
Step-by-step explanation:
A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)
B: √4 = 2 (rational)
C: ∛8 = 2 (rational)
D: √16 = 4 (rational)
Are negative decimals considered integers. For example -1.1
Answers
No, negative decimals are not considered integers.
What is an integer?
An integer is simple defined as a whole number, cannot be a fraction, that is either positive, negative, or zero.
It can also be described as the number zero, a natural positive number or a negative integer, that is, one with a minus sign.
The negative numbers are seen as the additive inverses of their corresponding positive numbers.
The three types of integers are;
ZeroPositive whole numbersNegative whole numbersHence, decimals are not integers
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A bolt of fabric is a large rectangular strip of fabric. Starr-Lyn designs her own fabric. The design is then produced and placed on a bolt that is 81.5 meters (m) long and 1.32 m wide. Part A: Determine the area in Square meters of a bolt of fabric with Starr- Lyn's design.
Answers
The area of the rectangle according to the given length and width is 107.58m².
What do we mean by a rectangle?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can also be defined as an equiangular quadrilateral because all of its angles are equal, or a parallelogram with a right angle. A square is a rectangle with four equal-length sides. A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal and parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width.The formula of the area of a rectangle: l × w
Now, substitute the values in the formula:
l × w81.5 × 1.32107.58m²Therefore, the area of the rectangle is 107.58m².
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PLS HELP ANYONE PLSSS I BEG SOMEONE
Answers
Answer:
option 3
Step-by-step explanation:
i think
Explanation:
Segment LM is 7 units long compared to L'M' which is 21 units long. You can count out the spaces between the points, or use subtraction and absolute value, to find these segment lengths.
The jump from 7 to 21 is "times 3" which is directly from the scale factor 3. Each length of the image is 3 times larger compared to the preimage counterpart. Therefore, K'L' will be 3 times longer compared to KL.
Help me with math!!!!
Answers
Answer:
Step-by-step explanation:
Option c is best.
x is less than equal to 2 that's why the graph of line moves toward the left side.
Is \(\frac{x^{2}}{2}\) an equation that can be simplified? If so, what is its simplified form?
Answers
hope this helped you
For every 3 laps that Jackie swims, Ronnie swims 4 laps. During practice, they swam a combined total of 63 laps. How many laps did Ronnie swim during practice? 36 32 27 24.
Answers
Answer:
36
Ur welcome,
._.
1. captain mathews wore his hat for eighteen hours
every day. if captain mathews didn't have his hat
on, his boat was anchored. in fifteen days his boat
sailed 1,350 miles. what was the average number
of miles per hour his boat traveled?
Answers
The average number of miles per hour Captain Mathews' boat traveled is 5 miles per hour.
To calculate the average number of miles per hour Captain Mathews' boat traveled, we need to divide the total distance traveled by the total number of hours.
In this case, we know that the boat sailed 1,350 miles in 15 days. Since Captain Mathews wore his hat for 18 hours every day, we can assume that the boat was sailing for 18 hours each day.
To find the total number of hours, we multiply 18 hours/day by 15 days:
Total hours = 18 hours/day × 15 days = 270 hours
Now, we can calculate the average speed in miles per hour:
Average speed = Total distance / Total hours
Average speed = 1,350 miles / 270 hours
Average speed = 5 miles per hour
Therefore, the average number of miles per hour Captain Mathews' boat traveled is 5 miles per hour.
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please help i’m gonna cry
Answers
Answer:
She Flipped the symbol
Step-by-step explanation:
Please don't cry. I will explain it to you. Just please don't cry.
She multiplied correctly. But in her end result, she flipped the symbol.
You only flip symbols when multiplying or dividing by a negative number.
I hope this helps! Please don't cry :)
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answers
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
What value for x will make the equation −3x+1=2(4x−5)true?
Answers
A class starts at 3:10 p.m. Four students in the class arrive at random times T1, T2, T3, T4 that are independent and all have the uniform distribution on ...
Answers
The probability that the first student to arrive is T2 is the probability that X > Y. We can calculate this probability as follows: P(X > Y) = 1/2The probability that the first student to arrive is T2 is 1/2 or 0.5.
In the given case, a class starts at 3:10 p.m. and four students arrive at random times T1, T2, T3, T4 which are independent and all have the uniform distribution on (3:10 p.m., 4:30 p.m.). It is required to calculate the probability that the first student to arrive is T2.
Let X denote the arrival time of the first student, Y be the arrival time of the second student, and Z be the arrival time of the third student.
Therefore, we can assume that the arrival time of the fourth student is 4:30 p.m. as no student arrives after 4:30 p.m. Arrival times of students: Y = T2 (given), Z, X, 4:30 p.m.
Therefore, the probability that the first student to arrive is T2 is the probability that X > Y. We can calculate this probability as follows: P(X > Y) = 1/2The probability that the first student to arrive is T2 is 1/2 or 0.5.
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i need help please and thanks
Answers
Nina has one job babysitting another job walking dogs. Each week she babysits for 21 hours and walk stocks for nine hours Sharon $7.50 per hour for dog walking. She earns $1.50 more per hour for babysitting them for dog walking there are 4 1/2 weeks in the month of July. What is the best estimate for the total amount of money Nina earns in July.
Answers :
$250
$750
$1200
$1500
Answers
Answer:
The best estimate for her earnings is $1200
Step-by-step explanation:
Number of time spent babysitting each week = 21 hours = BBS
Number of time spent dog walking each week = 9 hours = DW
She earns $7.50 per hour for dog walking,
She earns $(7.50+1.50) = $9 for baby sitting,
There are 4 1/2 weeks = 9/2 weeks in July,
Now, for each week she earns 21(9) = $189 from baby sitting
and 9(7.5) = $67.5 from dog walking,
So, for the month of July, i.e. 9/2 weeks, she earns,
9/2(189) = $ 850.5 from baby sitting,
and (9/2)(67.5) = $303.75 from dog walking,
In total for the month, she earns,
850.5 + 303.75 = $1154.25
Hence the best estimate for her earnings is $1200
Solve the triangle for all missing sides and angles
Answers
Answer:
x = 35
C = 18.92
A = 71.07
Step-by-step explanation:
x)
Use the Pythagorean theorem to find the unknown side.
\(a^{2} +b^{2} =c^{2} \\\\\\12^{2} +x^{2} =37^{2} \\x^{2} = 37^{2}-12^{2}\\x=35\)
For Angle C
The angle C can be found using the inverse sine function.
C=arcsin(opp/hyp)
C=arcsin(12/37)
C=18.92
For Angle A
The sum of all the angles in a triangle is 180 degrees.
A + 90 + 18.92 = 180
A = 71.07