A system of equations is shown below:n = 3m + 7n − 2m = 1What is the solution, in the form (m, n), to the system of equations? (3, 7)(1, 8)(−3, −2)(−6, −11)
n = 3m + 7
n − 2m = 1
solve second equation for n
n - 2m = 1
n = 1 + 2m
now they are both equal to n, so
3m + 7 = 1 + 2m
solve for m
3m + 6 = 2m
6 = -1m
m = -6
plug in
n − 2(-6) = 1
n + 12 = 1
n = -11
check
-11 = 3(-6) + 7
-11 = -18 + 7
-11 = -11
m = -6
n = -11
D
1) Your t-shirt provider sells you blank t-shirts for $5.00. What percent markup did you
company use? Explain how you determined this percent mark-up.
Answer: 5%
Step-by-step explanation:
you have 12 marbles and a scale. one marble is heavier than the others. you can only use the scale three times. how can you find the heavier marble? (you cannot feel them in your hands that is cheating)
You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.
What is weight of an object?An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.
What instrument is used to weigh an objects?A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.
To weigh the 12 marbles and find out the heavier one,
Take 4 marbles and weigh them against each other. If one of them is heavier, you have found the heavier marble. If they all weigh the same, go to step 2.Take 3 of the remaining marbles and weigh them against each other. If one of them is heavier, you have found the heavier marble. If they all weigh the same, go to step 3.Take the remaining 2 marbles and weigh them against each other. The heavier one is the heavier marble.This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.
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The focus of the parabola -40x = y2 is:
(-10, 0)
(0, -10)
(0, 10)
(10, 0)
Answer:
Option A: (-10,0)
Step-by-step explanation:
The given equation of the parabola is in the form of \(y^2=4ax\) where the focus is located at \((a,0)\). Therefore, the focus of the parabola is \((-10,0)\).
W-(-3)=7
W=
This is due tonight:))
The balance of an investment account is $308.32
greater than the balance 4 years ago.
The current balance is $4708.57.
What was the balance 4 years ago?
The balance was $4400.25 before 4 years.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in the determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, and quadratic equations.
The balance of an investment account is $308.32
Let the balance 4 years ago was $x
Then the balance today is represented by x + 308.32
The current balance is $4708.57
The expressions can be equated to get the value of the balance 4 years ago.
x + 308.32 = 4708.57
x = 4708.57 - 308.32
x = $4400.25
The balance 4 years ago was $4400.25
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Create a data set that contains 10 values such that the mean is greater than the median.
Answer:
Go with anything, and I mean ANYTHING that is in a numerical order with an outlier
LITERALLY 1,2,3,4,5,6,7,8,9,100
you will get a median of 5.5 but with the high outlier, you will get a mean of 14.5
The marked price of a book is Rs 2000. If it is sold at 15% discount and 25% profit, find the discount amount, selling price and cost price
The answer is a discount price: RS.300
Selling price: RS 1700
Cost price: RS 1500
The marked price is 2000
by applying the known mathematics
discount amount: 100 × (Original price - Discounted price) / Original price
=2000 × 15%
=300
selling price: Cost Price + Profit Margin.
=2000-300
=1700
cost price : {100/(100 + Profit%)} × SP.
=2000-2000×25%
= 1500
by these calculations, we can achieve our answers
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Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
9
12
Please answer
Find a number that is approximately 2.5 times 31,050,200. Write the result as the product of a single digit and a power of 10.
Answer:
8 × 10⁷---------------------------
Multiply the two numbers first:
2.5 × 31050200 = 77625500Round the number to the first digit:
77625500 ≈ 80000000Write 80000000 as the product of a single digit and a power of 10:
80000000 = 8 × 10000000 = 8 × 10⁷A. 0
B. 1
C. 2
D. Cannot be determined from the graph
I think the answer is c.2
Kelly collected $15, $15, $25, and $29 in the last 4 donations for the class fundraiser. what is the median?
The given numbers are $15, $15, $25, and $29. the median is $20. we need to arrange the numbers in order from smallest to largest.
The numbers in order are:
$15, $15, $25, $29
To find the median, we need to determine the middle number. Since there are an even number of numbers, we take the mean (average) of the two middle numbers. In this case, the two middle numbers are
$15 and $25.
So the median is the mean of $15 and $25 which is:The median is the middle number when the numbers are arranged in order from smallest to largest. In this case, there are four numbers. To find the median, we need to arrange them in order from smallest to largest:
$15, $15, $25, $29
The middle two numbers are
$15 and $25.
Since there are two of them, we take their mean (average) to find the median.
The mean of
$15 and $25 is ($15 + $25) / 2
= $20.
Therefore,
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An auditing software can identify 63.7% of misreporting issues in accounting ledgers. Let X be the number of accounting misreporting transactions identified by the software among 50 randomly selected transactions for the last 3 months.
Determine the probability that no misreported transactions are found.
Determine the probability that less than 10 misreported transactions are found.
Determine the probability that at least half of the transactions are misreported.
If the firm applying the auditing software as a test run finds no misreporting, it will receive a $200 compensation, but if there are less than 10 misreported transactions it will have to pay a fee of $50, and if the misreported transactions represent more than half of the transactions then the fee will be $100. Determine the expected monetary gain (assuming that the auditing software is correct when identifying a misreporting).
The auditing software can identify 63.7% of misreporting issues in accounting ledgers. The probability that no misreported transactions are found is 1 - 63.7% = 36.3%. The probability that at least half of the transactions are misreported is 1 - P(X 25) = 1 - P(X 24) P(X 24) = _(i=0)24 (50C_i) (0.363)i (1 - 0.363)(50 - i) 0.0001. The expected monetary gain is approximately -$49.8.
Given that an auditing software can identify 63.7% of misreporting issues in accounting ledgers. Let X be the number of accounting misreporting transactions identified by the software among 50 randomly selected transactions for the last 3 months.Probability that no misreported transactions are found:X follows a binomial distribution with n = 50 and p = 1 - 63.7% = 36.3%.P(X = 0) = (1 - p)^n = (1 - 0.637)^50 ≈ 0.0002Probability that less than 10 misreported transactions are found:
P(X < 10) = P(X ≤ 9)P(X ≤ 9)
= P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)P(X ≤ 9)
= ∑_(i=0)^9 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.99
Probability that at least half of the transactions are misreported:
P(X ≥ 25)P(X ≥ 25)
= P(X > 24)P(X > 24)
= 1 - P(X ≤ 24)P(X ≤ 24)
= ∑_(i=0)^24 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.0001
Expected monetary gain:Let Y be the amount of money that the firm gets to earn or pay. The probability distribution of Y can be shown below:Outcomes: $200, -$50, -$100
Probabilities: P(X = 0), P(0 < X < 10), P(X ≥ 25)P(X = 0)
= 0.0002P(0 < X < 10)
= 0.99 - 0.0002 = 0.9898P(X ≥ 25)
= 0.0001E(Y)
= ($200 x P(X = 0)) + (-$50 x P(0 < X < 10)) + (-$100 x P(X ≥ 25))E(Y)
= ($200 x 0.0002) + (-$50 x 0.9898) + (-$100 x 0.0001)≈ -$49.8
Therefore, the expected monetary gain is approximately -$49.8.
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evaluate the triple integral where is the solid tetrahedon with vertices (0,0,0), (9,0,0), (0,8,0), (0,0,2)
The triple integral evaluates the volume of the given tetrahedron, with limits of integration from 0 to 9 for x, 0 to 8 for y, and 0 to 2 for z.
How to evaluate the triple integral of solid tetrahedron?To evaluate the triple integral over the solid tetrahedron with vertices (0, 0, 0), (9, 0, 0), (0, 8, 0), and (0, 0, 2), we need to set up the integral based on the given boundaries and the integrand function.
Let's define the integrand function as f(x, y, z) = 1, which means we are integrating a constant value of 1 over the tetrahedron, effectively calculating its volume.
The integral can be set up as follows:
∫∫∫V f(x, y, z) dV
where V represents the volume of the tetrahedron.
To determine the limits of integration, we consider the given vertices:
Vertex 1: (0, 0, 0)
Vertex 2: (9, 0, 0)
Vertex 3: (0, 8, 0)
Vertex 4: (0, 0, 2)
The limits for x, y, and z can be defined as follows:
For x:
Lower bound: 0
Upper bound: x = 9 (from the equation of the line connecting vertices 1 and 2: x = 9y/8)
For y:
Lower bound: 0
Upper bound: y = 8 (from the equation of the line connecting vertices 1 and 3: y = 8z/2)
For z:
Lower bound: 0
Upper bound: z = 2
Now we can set up the triple integral:
∫[0 to 9]∫[0 to 8]∫[0 to 2] 1 dz dy dx
Evaluating this integral will give us the volume of the tetrahedron.
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If (6 ki)² = 27-36i, the value of k is
Answer: k = √27-i
Step-by-step explanation:
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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a researcher studying malnutrition among children in a developing country collected weights of a random sample of children using a scale that she had set to give weights 2.5 kilograms less than the actual weight. which statement best describes this situation? measurement error has not occurred, and the researcher is not guilty of unethical statistical practice. measurement error has occurred, and the researcher is guilty of unethical statistical practice. measurement error has occurred, but the researcher is not guilty of unethical statistical practice. measurement error has not occurred, but the researcher is guilty of unethical statistical practice.
Therefore the the best statement that describes this situation is Measurement error has occurred, and the researcher is guilty of unethical statistical practice.
As per the details share in the above question are as follow,
A researcher collected weights of a random sample of children using a scale that she had set to give weights 2.5 kilograms less than the actual weight.
We have to determine the best statement that describes this situation?
It measured precisely 2.5 kg less, which is a systematic inaccuracy, thus there has been a measuring error.
The statistician was guilty because she purposefully gave them less weight in order to support her argument.
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Does anyone know how to do this if so please help immediately!!!
I’ll give you brainlist answer and points!!!
Answer:
∠LMN = 90°
Step-by-step explanation:
Ordinarily, you would rotate the protractor so the 0° mark lines up with one of the sides of the angle you want to measure. You have not done that here, but you can still find the measure of the angle.
Subtract the smaller scale value from the larger one to find the angle measure:
∠LMN = 180° -90° = 90°
_____
Additional comment
Most physical protractors are marked with two scales. One goes counterclockwise, as this one does. The other goes clockwise. At each point on the scale, the markings total 180°.
A landscaping company is laying out a triangular flower bed. The height of the triangle is 16 ft What lengths of the base will make the area at least 272 ft The base must be at least ft.
The length of the base can be determined as,
\(\begin{gathered} A=\frac{1}{2}\times b\times h \\ 272\text{ ft=}\frac{1}{2}\times b\times16\text{ ft} \\ b=34\text{ ft.} \end{gathered}\)Thus, the required base must be at least 34 ft.
HUrry please! A meteoroid moving at a constant speed travels 6 7/8 miles in 30 seconds.How far does the meteoroid travel in 1 second?
Answer: 11/48
Step-by-step explanation:
Based on the given conditions, formulate: 6 7/8 / 30 Convert the express
Answer:
\(\frac{29}{120}\ or \ 0.2\)
Step-by-step explanation:
\(6\frac{7}{8}\)
\(6\frac{7}{8}\) is equivalent to:
\(8*6+1\\\\48+7\\\\55\\\\\frac{55}{8}\)
We need to divide \(\frac{55}{8}\) by 30 to know how far it moves per second (1 second)
\(\frac{\frac{58}{8}}{30} \\\\\\frac{58}{8}/\frac{30}{1}\\\\ \frac{58}{8}*\frac{1}{30}\\\\\frac{58}{240}\\\\ \frac{29}{120} \\\\0.2\)
The meteoroid travels \(\frac{29}{120} = 0.2\) in one second.
Hope this helps!
What point is halfway between (3, -1) and (8,-6)?
(11, -7)
(5.5, -3.5)
(2,-2)
(-5.5, -3.5)
Please answerrr!!
Answer:
(5.5, -3.5)
Step-by-step explanation:
Find the difference in the following expression:
(-4c + 5g) - (3c - 8g)
chang drove miles using gallons of gas. at this rate, how many gallons of gas would he need to drive 424 miles?
To drive 424 miles, Chang would need approximately 10.6 gallons of gas.
To find the number of gallons of gas needed to drive 424 miles, we need to determine the rate at which Chang is using gas. The given information tells us that Chang drove a certain number of miles using a certain number of gallons of gas, but it doesn't provide the specific rate.
If we assume that Chang's rate of gas consumption is constant, we can calculate the rate by dividing the number of miles driven by the number of gallons used. Let's call this rate "miles per gallon" (mpg).
Assuming that Chang's rate of gas consumption remains the same, we can set up a proportion to find the number of gallons needed to drive 424 miles:
miles driven / gallons of gas used = 424 miles / x gallons
Since we don't have the exact values for the miles driven and gallons used, we can't calculate the exact rate or the exact number of gallons needed. However, if we assume a hypothetical rate of 40 mpg (miles per gallon), we can solve the proportion:
miles driven / gallons of gas used = 424 miles / 40 mpg
Cross-multiplying the proportion, we get:
miles driven * x gallons = 424 miles * gallons of gas used
Simplifying, we have:
x gallons = (424 miles * gallons of gas used) / miles driven
Since we don't have the specific values for miles driven or gallons of gas used, we can't calculate an exact value for x. However, if we assume that Chang's rate is 40 mpg, we can substitute the values into the equation:
x gallons = (424 miles * 1 gallon) / 40 miles
Simplifying, we find:
x gallons = 10.6 gallons
Based on the assumption that Chang's rate of gas consumption is 40 miles per gallon, he would need approximately 10.6 gallons of gas to drive 424 miles. Please note that this calculation is based on an assumed rate, and the actual number of gallons needed may vary depending on the specific rate of gas consumption for Chang's vehicle.
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……………………bsjsjdjdnxnxixixmmdsijsnd dx
Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
–$2,419.69
–$1,209.85
$1,209.85
$2,419.69
which one would it be?
Answer:
-1,209.85
Step-by-step explanation:
Answer:
the first and last one they are the answers
A person standing on level ground is 3020 feet away from the foot of a building. If the height of the building is 2534 feet, find the angle of elevation formed at the point where the person is standing to the nearest degree
Answer:
40°
Step-by-step explanation:
Base length, b = adjacent = 3020 feets
Height of building, h = opposite = 2534 feets
The angle of elevation formed :
Using the trigonometry relation:
Tan θ = opposite / Adjacent
Tan θ = 2534 / 3020
Tan θ = 0.8390728
θ = tan^-1(0.8390728)
θ = 39.999
= 40°
If the length of the radius of the circle is 6, what is the area of the square? 6 72 48 12 144
Answer:
If the circle is inside the square the area of the square is 144
Step-by-step explanation:
The diameter of a circle is equal to the side length of a square.
So \(d = 2r\) the diameter of the circle is 2(6)=12
so one side length of the equals 12
Area of square = \(s^{2}\) \(12^{2} = 144\)
Wallace bought an indoor putting green for $90. When he went to the cash register, the total including the sales tax was $94.95. What was the sales tax rate?
The sales tax rate for the item purchased was 5.5%
Using the parameters given for our calculation:
Item cost = 90Total amount paid= 94.95Tax amount = 94.95 - 90 = 4.95
Tax rate = tax amount / item cost * 100%
Tax rate = (4.95/90) * 100%
Tax rate = 5.5%
Therefore , the tax rate is 5.5%
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Solve 2x - 5 = 7
Need explanation and working out for x?
Answer:
12/2=6
Step-by-step explanation:
You have to do the same thing to each side and try and move all the numbers to one side, leaving x alone so:
2x-5=7
+5:
2x=12
/2:
x=12/2
x=6
Answer:
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
2x=7+5
Add 7 and 5.
2x=12
Divide each term by 2 and simplify.
2x/2=12/2
Divide x by 1.
x=12/2 => x=6
Step-by-step explanation:
HURRRY About how much will the taxes be on the cost of the meal at the restaurant? Round the sales tax to the nearest benchmark percent.
$ ___
Answer: $4.00 or $4
Step-by-step explanation:
Answer: 4$
Explanation: I just answer the question and got it right.