Charlene has eight more dollars than Megan. Together they have $86.00. Which equation can be used to determine the amount of money, m, Megan has?a.m(m8)86c.m8m86b.m(m8)86d.mm(8m)86
Answers
Answer:
megan has 40 dollars sense charlene has 8 more dollars and the both have 86
Step-by-step explanation:
Related Questions
on a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what is the best approximation of the percent of scores that fell between 58.9 and 75.1?
Answers
the best approximation of the percent of scores that fell between 58.9 and 75.1 is 4.
The mathematical average of a group of two or more numbers is called the mean. There are two different sorts of means that can be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.
Find the difference between these two figures and the mean, divide it by the standard deviation of 5.4, and you will know how many standard deviations 75.1 and 61.5 are above and below the mean:
(75.1−64.3)/5.4
=2sd
According to the empirical rule, 95% of data are within two standard deviations of the mean.
So, the answer is 4.
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Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)
Answers
Answer:
the equation is in form
y=mx+b where
m=slope
and
b=y-int (the y value for the vertex)
first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5
then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is
y=x+5
Step-by-step explanation:
in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent. candidate a argues that this would increase tax revenues, enabling the state to maintain essential services. candidate b argues that the tax would hurt retailers and consumers, slowing down the economy so much that it would decrease tax revenues too. what assumptions must the candidates be making in order to justify their position?
Answers
in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent, so candidate a assumes that the price effect would be larger than the quantity effect.
What is general sales tax?When a tax is added on a good or service at the point of sale and is financed by the client, it is known as general sales tax. The store is then obligated to transmit, or remit, the tax to the government.
Candidate a contends that revenue will rise along with the sales tax as it rises from 5 to 7 percent. This suggests that the price impact is greater than the quantity effect since, when the tax is raised, the price would rise and the quantity would fall. As a result, the tax revenue would only rise if the price effect is more than the quantity effect.
Additionally, Candidate b claims that the tax will harm consumers and merchants, slow the economy, and reduce tax revenue. However, this claim can only be supported if the quantity effect outweighs the price effect.
Candidate a assumes that the price effect would be larger than the quantity effect.
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the following data set represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 suppose that the last value, 75, was mistakenly recorded as 5. what measure(s) of the typical value in a data set would be affected by this error? select all that apply.
Answers
The following measures of typical value in a data set would be affected by the error:
Mean: The mean is the sum of all the values divided by the number of values. If one value is significantly different from the rest, it can significantly affect the mean. In this case, the mean would be affected because the value of 5 is much lower than the other values in the data set, which would cause the mean to be lower than it should be.
Median: The median is the middle value in a data set. If the error is low enough, it may not affect the median, but if it is low enough to move the value of 5 to the middle of the data set, the median would be affected.
In conclusion, the mean and median of this data set would be affected by the error of recording the value of 75 as 5.
The mode, mean and median of this data set would be affected by the error of recording the value of 75 as 5.
Given that, a data set represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 suppose that the last value, 75, was mistakenly recorded as 5.
so, here, due to mistake the mode, mean and the median will be affected.
Adding a data point to the set, or taking one away, can affect the mean, median, and mode.
If we add a data point that's above the mean, or take away a data point that's below the mean, then the mean will increase.
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how to find the composition of a mixture using calibration curve?
Answers
To find the composition of a mixture using a calibration curve, a sample of the mixture must first be prepared. The sample should be of a known concentration or dilution. Then, the sample's absorbance must be measured at a known wavelength.
This measured absorbance should then be plotted on the calibration curve. The calibration curve is a graph that shows the relationship between the absorbance of a sample and its concentration. If a linear relationship exists between absorbance and concentration, the calibration curve can be used to determine the concentration of the sample. The concentration of the sample can then be used to calculate the amount of each component in the mixture.
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Which lines in this figure are parallel?
a and b
ob and
a and d
I don't know
Answers
Answer:
it is most probably a and b
i think im confident a and b
The lines in this figure that are parallel are line a and line b.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
Corresponding angles are formed since there are transversal lines with parallel lines.
Now,
Lines a and b are parallel.
The lines c and d are transversal.
Thus,
Lines a and b are parallel.
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if the inside height of the trailer is 6.5 feet, what is the total volume of the inside of the trailer, to the nearest cubic foot?
Answers
The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.
What is a composite figure?A composite figure is a figure comprising of two or more regular figures.
The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.
Please find attached the cross section of the Cargo Trailer Floor created with MS Word.
The dimensions of the rectangle are; Width = 6 ft, length = 10 ft
The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft
Height of the triangular cross section = √(4² - (6/2)²) = √(7)
The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)
A = 60 + 3·√7
Volume of the trailer, V = Cross sectional area × Height
V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7
Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³
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What is Three-fourths divided by one-sixth?
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 6 boxes containing one-sixth. Under the 6 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction.
Answers
Answer:
4 and one-half
Step-by-step explanation:
bc it is
A confidence interval is calculated by: a sample mean( /-) z score times (1.645/1.96/2.58) b sample mean( /-) critical value z-score times the sampling standard deviation c sample mean ( /-) (1.645/1.96/2.58) d sample mean ( /-) (1.645/1.96/2.58) times the area under the curve e None of the above
Answers
The formula for calculating the confidence interval of a sample mean is sample mean ( /-) critical value z-score times the standard error of the sampling distribution of the mean.
Confidence interval is a range of values that enclose the true value of a population parameter with a specified level of confidence. It is used in inferential statistics to estimate an unknown parameter using a sample. The value of the confidence interval depends on the level of confidence chosen by the researcher which is usually 90%, 95%, or 99%.The correct answer is b which is the formula for calculating the confidence interval of a sample mean.
It is the sample mean plus or minus the critical value z-score times the standard error of the sampling distribution of the mean. The standard error of the sampling distribution of the mean is the standard deviation of the sample mean and is estimated using the formula, standard deviation of the population divided by the square root of the sample size.The critical value of the z-score depends on the level of confidence chosen by the researcher.
A 90% confidence interval has a critical value of 1.645, a 95% confidence interval has a critical value of 1.96, and a 99% confidence interval has a critical value of 2.58. Therefore, the formula for calculating the confidence interval of a sample mean is sample mean ( /-) critical value z-score times the standard error of the sampling distribution of the mean.
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You need a 10% alcohol solution. On hand, you have a 120 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?A) Write an equation using the information as it is given above that can be used to solve this problem. Use x as your variable to represent the amount of pure water you need to use.Equation: ________ You will need ____mL of pure waterto obtain ____mL of the desired 10% solution.
Answers
Here the mixture (or solution) contains alcohol and water.
Given that you have 85% alcohol mixture. It means that each 1 mL of the mixture will contain 0.85 mL of alcohol, and the remaining 0.15 mL of pure water.
So the amount of alcohol in 120 mL of mixture is calculated as,
\(\begin{gathered} =120\times0.85 \\ =102 \end{gathered}\)When 'x' mL of pure water is added to the solution, the total amount of water in the mixture becomes,
\(\begin{gathered} =x+(120\times0.15) \\ =x+18 \end{gathered}\)Since no alcohol is added, the amount of alcohol in the final mixture will remain same, that is, 102 mL.
Now, it is given that the concentration of the final mixture is 10%, So the amount of alcohol in the solution should be 10% of the total mixture,
\(\begin{gathered} 0.10\times(x+18+102)=102 \\ x+120=\frac{102}{0.10} \\ x+120=1020 \\ x=1020-120 \\ x=900 \end{gathered}\)Thus, you need to add 900 mL of pure water in order to have 10% alcohol solution.
And the equation used to solve this problem is,
\(0.10\times(x+18)=102\)Which of the following is a quantitative variable?
Temperatures in New York from January to March
Price of gas at three different gas stations
Population density of a town
Symbols of elements on the periodic table
Answers
Answers: A, B, C
These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.
In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars 3
5
Total Cost $6.65
8
$10.45 $16.15
12
$23.75
15
$29.45
20
$38.95
25
$48.45
Based on the data in the table, find the slope of the linear model that represents the cost
of the candy per bar: m =
Answers
Answer:
The slope of a linear model can be calculated using the formula:
m = Δy / Δx
where:
Δy = change in y (the dependent variable, in this case, total cost)
Δx = change in x (the independent variable, in this case, number of candy bars)
This is essentially the "rise over run" concept from geometry, applied to data points on a graph.
In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.
Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).
Δy = $48.45 - $6.65 = $41.8
Δx = 25 - 3 = 22
So the slope m would be:
m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar
This suggests that the cost of each candy bar is $1.9 according to this linear model.
Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.
what expressions are equivalent to 4×3/10
Answers
Answer:
Hop. Answer ur question the answer is 13
Step-by-step explanation:
yeah hope i helped
12/10
6/5
It’s simple by Dividing
kara, who lives in canada, plays a popular online video game where every round has a winner. her best streak is 212121 wins in a row, and she wonders how that compares to other players. the game's website has a worldwide leaderboard of players with the longest win streaks for each month. kara finds that the top 200200200 longest streaks in the world in june had an average of about 636363 wins in a row. for which population is 636363 wins a legitimate estimate of the average longest streak?
Answers
For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June
Mean = sum of data / Number of data
The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,
Only the top 200200200 longest streaks worldwide in June will win.
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If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps
Answers
Answer:
x = 13/12
Step-by-step explanation:
explain on image
The sum of five times a number and 26 is 19
Answers
Answer:
The answer for the unknown would be:
-12
Step-by-step explanation:
This is because ,
5n+26=19
5n+26=19
31n-31n=19-31n
therefore, (unknown) n= -12
The number will be -1.4 such that the sum of 5 times and 26 is 19.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say that number is x
Then,
5 times = 5x
So,
5x + 26 = 19
5x = -7
x = -7/5 = -1.4
Hence "The number will be -1.4 such that the sum of 5 times and 26 is 19".
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Uh need help
The ratio of the sale price of a jacket to the original price is 3:4. The original price is $64. What is the sale price?
Answers
Answer:
$48
Step-by-step explanation:
price of jacket : original price
3 : 4
If 64 = 4, we can find out 1.
64 / 4 = 16
16 x 3 = 48
16 x 4 = 64
48 : 64
sale price = $48
Hope this helps!
- profparis
Answer:
$48
Step-by-step explanation:
the 4 part of the ratio refers to the original price of $64 , then
$64 ÷ 4 = $16 ← value of 1 part of the ratio , then
3 parts = 3 × $16 = $48 ← sale price
True/False: Money that is usable can be easily moved from your home to the store.
Answers
Answer:
true
Step-by-step explanation:
The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of this rectangle.
Answers
Answer:
L = 31.5 w = (4/7)31.5 = 18 p = 2 * 31.5 + 2 * 18 A = 31.5 * 18
Step-by-step explanation:
Above is the question
Answers
Answer:
its A
Step-by-step explanation:
asymptotes:=-1 and hole:x=4
hospital noise levels noise levels at various area urban hospitals were measured in decibels. the mean noise level in 180 ward areas was 56.5 decibels, and the population standard deviation is 3.5. find the 98% confidence interval of the true mean. use a graphing calculator and round the answers to one decimal place. < u
Answers
The 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).
To find the 98% confidence interval for the true mean noise level, we can use the formula:
CI = mean ± Z * (σ / sqrt(n))
Where:
CI is the confidence interval,
mean is the sample mean,
Z is the z-score corresponding to the desired confidence level,
σ is the population standard deviation,
n is the sample size.
In this case, we have:
mean = 56.5 (sample mean)
σ = 3.5 (population standard deviation)
n = 180 (sample size)
Confidence level = 98%
First, we need to find the z-score corresponding to a 98% confidence level. The remaining 2% is split equally between the two tails of the distribution, so we have 1% in each tail. We can find the z-score using a standard normal distribution table or a graphing calculator. For a 98% confidence level, the z-score is approximately 2.33.
Now we can calculate the confidence interval:
CI = 56.5 ± 2.33 * (3.5 / sqrt(180))
CI = 56.5 ± 2.33 * (3.5 / 13.416)
CI = 56.5 ± 2.33 * 0.261
CI = 56.5 ± 0.607
CI ≈ (55.9, 57.1)
Therefore, the 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).
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P(q) = -0.01(q - 250)(- 80)
The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q
cupcakes are produced. What is the best interpretation of the number 80 in this context?
80 is a number of cupcakes for which the profit is equal to $0.
B
80 is the number of cupcakes that corresponds to the maximum profit.
80 is the number of cupcakes that corresponds to the minimum profit.
880 is the maximum profit, in dollars.
Answers
Answer: 80 is the number of cupcakes for which the profit is equal to 0
Step-by-step explanation:
The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
What is Profit?Profit is the amount which we earned after selling something at a price more than its cost price.
We have,
P(q) = -0.01 (q - 250) (q- 80)
Where,
P(q) = profit earned by a cupcake bakery in dollars
q = cupcakes produced
So,
Now,
We have to find out the context of 80 in given equation,
So,
Lets substitute q = 80, in the given equation,
i.e.
P(q) = -0.01 (q - 250) (q- 80)
⇒
P(80) = -0.01 (80 - 250) (80- 80)
We get,
P(80) = -0.01 (- 170) (0)
i.e.
P(80) = 0
So, 80 is a number of cupcakes for which the profit is equal to $0.
Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
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Triangle PQR with vertices P(-13,-3) Q(-7,3) R(-6,-2) 270 degrees counterclockwise rotation about C(-5,-4)
Answers
Check the picture below.
Help pls I need the entire process
Answers
Answer:
122 degrees
Step-by-step explanation:
angles on a straight line sum up to 180 degrees. so add the two angles and equate to 180
while performing a test of details during an audit an auditor determined that the sample results supported the conclusion that the recorded account balance was materially misstated. it was in fact not materially misstated. this situation illustrates
Answers
When an auditor has performed a test of details during an audit and established that the sample results prove that the recorded account balance was materially misstated while in reality, it was not materially misstated, it illustrates sampling risk.
What is sampling risk?
Sampling risk refers to the likelihood of selecting sample data that are not indicative of the actual data population. It's a danger that arises because the auditor only audits a small portion of the population, which may or may not be representative of the whole population.
To summarize, the scenario presented in the problem statement is an instance of sampling risk.
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Can you please help me find the limit and identify any vertical asymptotes? Thanks
Answers
Given: The limit below
\(\lim_{x\to7^-}(\frac{1}{x-7})\)To Determine: The limit and the vertical asymptotes
Solution
\(\begin{gathered} \lim_{x\to7^-}(\frac{1}{x-7}) \\ \mathrm{For}\:x\:\mathrm{approaching}\:7\:\mathrm{from\:the\:left},\:x<7\quad \Rightarrow \quad \:x-7<0 \\ The\:denominator\:is\:a\:negative\:quantity\:approaching\:0\:from\:the\:left \\ Hence \\ \operatorname{\lim}_{x\to7^-}(\frac{1}{x-7})=-\infty \end{gathered}\)For the vertical asymptote
\(\begin{gathered} Vertical-asymptote \\ For\:rational\:functions,\:the\:vertical\:asymptotes\:are\:the\:undefined\:points \\ also\:known\:as\:the\:zeros\:of\:the\:denominator,\:of\:the\:simplified\:function. \end{gathered}\)The denominator of the rational function given is
\(\begin{gathered} denominator:x-7 \\ x-7=0 \\ x=7 \end{gathered}\)Hence:
limit = - ∞
Vertical asymptote: x = 7
I will give brainliest to the fastest answer and correct!
Answers
Answer:
I guess A is the correct answer.
Answer:
The correct answer would be a
after 5 years, sammy has $7500 left on his student loans. with an interest rate of 8%, how much did sammy take out originally to fund his education?
Answers
Sammy originally took out approximately $5357.14 to fund his education.
Define rate of interestThe rate of interest, also known as the interest rate, is the percentage amount charged by a lender or financial institution for the use of borrowed money or for the extension of credit. It is the cost of borrowing money, typically expressed as an annual percentage of the amount borrowed or owed.
Let X be the amount Sammy took out originally to fund his education.
After 5 years, the amount he has to pay back is X + (0.08X5) = X + 0.4X = 1.4X.
We know that 1.4X = $7500, so we can solve for X:
1.4X = $7500
X = $7500 / 1.4
X ≈ $5357.14
Therefore, Sammy originally took out approximately $5357.14 to fund his education.
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In a sample of 20 items, you found six defective. In constructing a confidence interval for the proportion of defectives, you should use: the plus four method. the large-sample interval. neither of these two methods.
Answers
To construct a confidence interval for the proportion of defectives, we should use the plus four method.
Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes.
The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.
To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.
This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.
The equation for the certainty interim utilizing the also four strategies is:
p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)
where:
p is the test extent (number of defectives/test estimate)
zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2
n is the test estimate (counting the included four nonexistent perceptions)
Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2540 ft Determine the flag's width and length if the length is 290 ft greater than the width.
Answers
The width of the floral mosaic flag is 625 ft, and the length is 915 ft. The flag's perimeter is 2540 ft. Let's assume the width of the flag is x ft.
According to the problem, the length is 290 ft greater than the width, so the length would be x + 290 ft. The perimeter of a rectangle is given by the formula P = 2(length + width), which in this case becomes
2540 ft = 2(x + x + 290).
Simplifying the equation, we have 2540 ft = 4x + 580 ft. By rearranging and isolating x, we get 4x = 2540 ft - 580 ft, resulting in 4x = 1960 ft. Dividing both sides by 4, we find x = 490 ft. Therefore, the width of the flag is 490 ft, and the length is x + 290 ft, which is 490 ft + 290 ft = 780 ft. Thus, the floral mosaic flag has a width of 625 ft (490 ft x 2) and a length of 915 ft (780 ft + 290 ft).
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