Answer:
Proportional
Step-by-step explanation:
A proportional graph is a straight line that passes through the origin.
A non-proportional graph can be a straight line, but it does NOT pass through the origin.
Therefore, this is a proportional graph.
Hope this helps :)
Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
Answer:
6 boxes wide
6 boxes wide
or 2high 2high 2high 2high 2high 2high
Step-by-step explanation:
6 wide and 6 wide to make 12. 6x2=12
2 high ×6 2×6=12
What is the slope of the line that passes through the points (5, −11) and (−9, 17)?
Graph y=4/7x−2.
Use the line tool and select two points on the line to graph the line.
By using slope intercept , These were the two points on the line: (0,-2) and (7,2).
Define slope intercept?A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.
We may use the slope-intercept form of a line, which is y=mx+b where m is the slope and b is the y-intercept, to graph the line y=4/7x-2. Therefore, m=4/7 and b=-2.
These variables allow us to plot two spots along the line. Since the line crosses the y-axis at (0,-2) (the y-intercept), that location will be one of the points.
We can utilize the slope of 4/7 to locate a different point along the line. This indicates that we advance up 4 units in the y direction for every 7 units we move to the right (in the x direction). We can therefore move 7 units to the right and then 4 units up, starting at (0,-2), to reach (7,2).
So now we have two points on the line: (0,-2) and (7,2). These points can be plotted on a coordinate plane, and then a straight line can be drawn through them to create the graph.
Graph given below:
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solve the given initial-value problem. x' = 2 5 9 0 3 0 1 1 2 x, x(0) = 1 4 0
The solution to the given initial-value problem is x(t) = e^(2t) [3e^(4t) + 2te^(4t) + 3t^2e^(4t)].
The initial-value problem is defined by the first-order linear system of differential equations x' = A*x, where A is the given matrix and x(0) is the initial condition vector.
To solve this initial-value problem, we first find the eigenvalues and eigenvectors of the matrix A. Then we can express the solution as x(t) = e^(At) * x(0), where e^(At) is the matrix exponential.
After finding the eigenvalues of A to be 2, 4, and 4, and corresponding eigenvectors, we can compute the matrix exponential e^(At) using the formula e^(At) = P * diag(e^(λ_1t), e^(λ_2t), e^(λ_3*t)) * P^(-1), where P is the matrix of eigenvectors.
Finally, substituting the values into the matrix exponential and multiplying it with the initial condition vector x(0), we obtain the solution x(t) as mentioned above.
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Julie has 400 books to sell.
Each book is Fiction or Non-fiction.
The ratio of the number of Fiction books to the number of Non-fiction books is 15:10.
Each book has a normal price of £10.
Julie reduces the price of all the Non-fiction books to half price.
Julie sells all 400 books.
Work out the total amount of money Julie will receive.
yall im done mathematics aint my thing.
The answer u should date me <3
I love you I’m ur biggest fan ;)
help please no one is answering :(
Answer:
59.49
Step-by-step explanation:
total number of students who don like mountain+don like beach =56+38+94=188
total number of students=92+66+158=316
probability percentage =(total no. of favorable events/total number of events) x 100
=188/316 x 100
=59.49 ~ 59.5%
Answer:
B
Step-by-step explanation:
I- are you on a test? If yes then i rlly cant help you.
JK I LIED IGHT SO ITS
Rose Daunis is thinking of a number. Two times the number plus four is the same amount as three times the number minus seven. Find Rose's number
Rose's number is 11 .
Let the number be x .
Now two times the number plus four:
2x + 4
Now three times the number minus seven:
3x - 7
The value from both the equation are same . so,
2x + 4 = 3x -7
Combine like terms to solve the equations,
4 + 7 = 3x- 2x
11 = x
Thus the number was 11 .
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Find the exact length of the third side.
Answer:
5sqrt3
Step-by-step explanation:
Using the pythagorean theorem, we have a^2+4^2=9^2
a^2 + 16 = 81
a^2 = 75.
a = sqrt75.
75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3
A baseball team played 32 question games and lost eight can use the catcher in 5/8 of the winning games in 1/4 of the losing games what fraction of the games did the team win
Answer:
3/4
Step-by-step explanation:
From this question we have that this team played 32 games.
They lost 8 out of these 32 games
So their total wins = 32 - 8 = 24
Therefore the fraction of their win would be = win / total number of games played
= 24/32
When reduced further
24/32 = 3/4
Therefore the fraction of games which the team won = 3/4
Thank you!
A line contains the points -1 , -4 and -6,11 what is the slope of a line that is parallel to this line
Answer: 3 I think !
Step-by-step explanation:
A sculpture is formed from a cylider resting on top of a cuboid.
The cylinder has a radius 35cm and height 60 cm.
The cuboid measures 70 cm by 70 cm by 130 cm.
The sculpture is made from marble.
The marble has a density of 2.7g/cm^3.
Calculate the total mass of the sculpture in tonnes
I need help with writing a proof for triangles
I dont understand the question.
A customer service survey was conducted of 400 customers: 200 men and 200 women. The data on one of the questions show that 115 of the men and 165 of the women rate the customer service as excellent. What percentage of the men gave an excellent rating
For the customer service survey, the percentage of the men gave an excellent rating is 57.5%.
The percentage of the men who gave an excellent rating can be calculated by dividing the number of men who gave an excellent rating by the total number of men who took the survey and multiplying by 100%.
Total number of customers surveyed = 400 (200 men and 200 women)
Number of men who rated customer service as excellent = 115
Number of women who rated customer service as excellent = 165
To find percentage of the men who gave an excellent rating, formula to be used:
Percentage of the men who gave an excellent rating = (Number of men who rated customer service as excellent / Total number of men who took the survey) x 100%
Therefore,
Percentage of the men who gave an excellent rating = (115/200) x 100%
Percentage of the men who gave an excellent rating = 57.5%
Therefore, the answer is 57.5%.
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Solve 34.8 = a + 5.8 =
Answer:
a = 29
Step-by-step explanation:
Answer: a= 29
Step-by-step explanation:
1. Flip the Equation
34.8=a +5.8
a+5.8=34.8
2. Subtract 5.8 for both sides
a survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. there were 100 randomly selected individuals in each sample. find the 95% confidence interval for the difference of the two proportions.
The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
Given that,
In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.
We have to calculate the 95% confidence range for the difference between the two proportions.
We know that,
The 95% confidence interval for difference between two population proportions is given as follows :
\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)
Here,
p₁ is 0.78
p₂ is 0.68
n₁ is 100
n₂ is 100
Z is 1.96
P is 0.73
Q is 0.27
So,
((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)
(0.10±0.122)
(0.10-0.122,0.10+0.122)
(-0.022,0.222)
Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
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1. Write a ratio that describes the picture below.
Stars to Circles Ratio: 4 to 3
Circles to Stars Ratio: 3 to 4
Answer:
4to 3
Step-by-step explanation:
because I'm smart an I've all ready learned about this I'm 100% for sure
find ( f•f)(0)
f(x)=x^2-1
A. 1
B. 0
C. -8
D. -1
Answer:
D
Step-by-step explanation:
2 1/3 divided by 2/5
Answer:
35/6
Step-by-step explanation:
Answer:
5.83
Step-by-step explanation:
Identify the cluster in the data
The one that has the most circles in a group :D
A nationwide study revealed that the average commute time to office jobs is 40 minutes. You conduct to determine if the average time in your county differs from the national average. What test will you use
To determine if the average commute time in your county differs from the national average of 40 minutes, you will need to conduct a hypothesis test. The appropriate test to use in this case is a one-sample t-test.
The one-sample t-test is used to compare the mean of a single sample to a known population mean when the standard deviation of the population is unknown.
In this case, the national average commute time of 40 minutes is known, but the standard deviation is not provided. Therefore, a one-sample t-test is the most appropriate test to use.To conduct the t-test, you will need to collect a sample of commute times from your county and calculate the sample mean and sample standard deviation. You will then use these values, along with the known population mean and an assumed level of significance, to calculate the t-value and compare it to the critical t-value from the t-distribution table. If the calculated t-value is greater than the critical t-value, you can reject the null hypothesis that the average commute time in your county is not different from the national average.In conclusion, a one-sample t-test is the appropriate test to use to determine if the average time of commute in your county differs from the national average. It is a statistical method that requires collecting a sample and comparing its mean to the population mean using a t-value and level of significance.Know more about the one-sample t-test
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plz help me with this math questionnnnn
Answer:
n ≤ 4
Step-by-step explanation:
Which means you should start at four (make sure it's a close circle) pointing to the left. I hope it helps.
Solve the equation 3х2 – 48
#8. You MAY use a calculator: The floor plan for a home has a scale of 0.25 inches=1 foot (ft). On the floor plan, one rectangular room measures 1.5 inches by 2.25 inches. What is the area of the actual rectangular room?
The area of the actual rectangular room is 54 square feet.
To find the area of the actual rectangular room, we need to convert the measurements from the floor plan to their corresponding measurements in feet.
Given that the scale is 0.25 inches = 1 foot, we can convert the measurements as follows:
Length: 1.5 inches * (1 foot / 0.25 inches) = 6 feet
Width: 2.25 inches * (1 foot / 0.25 inches) = 9 feet
Now we have the actual measurements of the room in feet. To find the area, we multiply the length by the width:
Area = Length * Width = 6 feet * 9 feet = 54 square feet
Therefore, the area of the actual rectangular room is 54 square feet.
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concerning the eoq model, if demand or annual usage increases by 10 percent, then the eoq will ________.
If demand or annual usage increases by 10 percent, the Economic Order Quantity (EOQ) will increase. The EOQ model is used in inventory management to determine the optimal order quantity that minimizes total inventory costs.
The Economic Order Quantity (EOQ) is a model used in inventory management to determine the optimal order quantity that minimizes total inventory costs. It takes into account factors such as demand, holding costs, and ordering costs. When demand or annual usage increases by 10 percent, it means that more units are being consumed or sold within a given time period.
With an increase in demand, the EOQ will also increase. This is because the EOQ formula takes into consideration the trade-off between holding costs and ordering costs. Holding costs are the costs associated with holding inventory, such as warehousing and insurance, while ordering costs are the costs incurred when placing an order, such as administrative and transportation costs.
When demand increases, more units need to be ordered to meet the higher demand. This results in an increase in ordering costs, as more frequent orders will need to be placed. Consequently, the EOQ will increase to find the new optimal order quantity that balances the increased ordering costs with the holding costs.
In summary, if demand or annual usage increases by 10 percent, the EOQ will increase due to the need to order more frequently to meet the higher demand, resulting in increased ordering costs. This adjustment ensures that the inventory management system remains efficient and cost-effective.
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Does an X or y-axis scale have to always start at zero?.
No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero
Define axis.A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.
Given,
No, X or y-axis scale does not have to always start at zero.
A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.
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the probability of getting a single pair in a poker hand of 5 cardsis approximately 0:42. find the approximate probability that out of 1000 pokerhands there will be at least 450 with a single pair.
The approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035
How to find the approximate probability ?
This is a binomial distribution problem with n = 1000 and p = 0.42. Let X be the number of poker hands with a single pair out of 1000 poker hands.
To find the probability that there are at least 450 poker hands with a single pair, we need to calculate P(X ≥ 450).
Using the normal approximation to the binomial distribution, we have:
μ = np = 1000 × 0.42 = 420
σ = √(np(1-p)) = √(1000 × 0.42 × 0.58) ≈ 16.08
Using the continuity correction, we can approximate P(X ≥ 450) as P(Z ≥ (449.5 - 420)/16.08) where Z is the standard normal distribution.
P(Z ≥ (449.5 - 420)/16.08) = P(Z ≥ 1.814) ≈ 0.035
Therefore, the approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035.
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Evaluate (2-3)(4) - 923
Find the derivative. f(x)=e^{x} cosh (x) f^{\prime}(x)=
The product rule is a technique for finding the derivative of a product of two functions. Therefore, the derivative of the function f(x) = ex cosh(x) is given by f′(x) = ex (cosh(x) + sinh(x)).
To find the derivative of the given function f(x) = excosh(x), we need to apply the product rule of differentiation.
The product rule states that the derivative of the product of two functions u(x) and v(x) is given by: `(u(x)*v(x))' = u'(x)*v(x) + u(x)*v'(x)`Where u'(x) and v'(x) are the derivatives of u(x) and v(x) respectively. So, let's apply the product rule here.
We have: `f(x) = ex cosh(x)` `=> u(x) = ex and v(x) = cosh(x)` `=> u'(x) = ex and v'(x) = sinh(x)`
Now, we can find the derivative of f(x) using the product rule as follows:f′(x) = u′(x)v(x) + u(x)v′(x)`= ex cosh(x) + ex sinh(x)` `= ex (cosh(x) + sinh(x))`Therefore, the derivative of the function f(x) = ex cosh(x) is given by f′(x) = ex (cosh(x) + sinh(x)).
In calculus, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. The derivative of a function is a fundamental concept of calculus, and it plays a central role in mathematical analysis and applications.
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero, provided the limit exists. The difference quotient is given by: `f'(a) = lim(h → 0) [f(a + h) - f(a)] / h`. Geometrically, the derivative of a function at a point is the slope of the tangent line to the graph of the function at that point.
The tangent line approximates the curve near the point, and the derivative gives the best linear approximation to the function near the point.In this case, we have found the derivative of the function f(x) = ex cosh(x) using the product rule of differentiation.
The product rule is a technique for finding the derivative of a product of two functions. The rule states that the derivative of a product of two functions is equal to the sum of the product of the first function and the derivative of the second function, and the product of the second function and the derivative of the first function.
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Find the simple interest and amount in each of the following:
(a) P = $1800 R = 5% T = 1 year
(b) P = $2600 R = 12% T = 3 years
(c) P = $3125 R = 15% T = 73 days
(a)
\(SI = \frac{PRT}{100} \\ = \frac{1800 \times 5 \times 1}{100} \\ = 18 \times 5 \\ = 90\)
Total amount = SI + Amount
= 90 + 1800 = $1890
(b)
\(SI = \frac{PRT}{100} \\ = \frac{2600 \times 12 \times 3}{100} \\ = 26 \times 12 \times 3 \\ = 26 \times 36 \\ = 936\)
Total amount = SI + Amount
= 936 + 2600 = $ 3236
(c)
\(SI = \frac{PRT}{100} \\ = \frac{3125 \times 15 \times 0.2}{100} \\ = 93.75\)
Total amount = SI + Amount
= 93.75 + 3125 = $ 3,218.75
The simple interest on $1800 is $90.
The simple interest on $2600 is $936.
The simple interest on $3125 is $93.75
What are the simple interests?Simple interest is when interest is earned only on the amount of money deposited.
Simple interest = amount deposited x time x year
1800 x 0.05 x 1 = $90
2600 x 0.12 x 3 = $936
3125 x 0.15 x (73/365) = $93.75
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Triangle ABC is congruent to triangle A′′B′′C′′ .
Which sequence of transformations could have been used to transform triangle ABC to produce triangle A′′B′′C′′ ?
Triangle ABC was reflected across the x-axis and then translated 9 units right.
Triangle ABC was translated 7 units down and then 9 units right.
Triangle ABC was translated 10 units right and then reflected across the x-axis.
Triangle ABC was reflected across the y-axis and then translated 7 units down.