Answer:
Amount earned in 1 hour = $9
In one week Micheal works = 28 hours
So, in one week she gets $9 * 28
=> $252
Hence, she would earn $252 in one week, in Six weeks she will get,
=> $252 * 6 = $1512
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Create a situation where it would be beneficial to use a sample mean of a specific size
The Size and representativeness of the sample are crucial factors in obtaining reliable estimates
The average satisfaction level of customers for a particular product. The population consists of thousands of customers who have purchased the product over a given period of time. It would be impractical and time-consuming to survey every single customer to obtain their satisfaction ratings. In such a situation, it would be beneficial to use a sample mean of a specific size.
By selecting a representative sample from the population, you can obtain a smaller subset of customers whose responses can be used to estimate the population mean. This approach allows you to collect data efficiently and make reasonable inferences about the entire customer population.
Here are a few reasons why using a sample mean would be beneficial:
1. Time and Cost Efficiency: Collecting data from the entire population can be time-consuming and costly. By using a sample, you can obtain the required information within a reasonable timeframe and at a lower cost
2. Feasibility: Sometimes, the population is too large or geographically dispersed to survey every individual. In such cases, a well-designed sample can provide sufficient information to make accurate estimations.
3. Practicality: In situations where obtaining data from the entire population is not feasible, such as studying historical events or conducting experiments, a sample can be a practical approach to gather data and draw meaningful conclusions.
4. Statistical Inference: With appropriate sampling techniques, you can use the sample mean to make statistical inferences about the population mean. By calculating confidence intervals or conducting hypothesis tests, you can estimate the range within which the population mean is likely to fall.
5. Reduction of Variability: Using a sample mean can help reduce the effect of individual variations and random fluctuations that may be present in the population. A sample can provide a more stable estimate of the population mean by averaging out the individual differences.
the size and representativeness of the sample are crucial factors in obtaining reliable estimates. Proper sampling techniques and statistical analysis should be employed to ensure the validity and accuracy of the results.
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Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
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A city has a population of 330,000 people. Suppose that each year the population grows by 4.25. What will the population be after 9 years?
The population of the city after 9 years is 999, 879, 514, 205 or approximately 1 trillion people.
Given that,
Initial population of the city = 330,000
Each year people grows by 4.25.
The population after t years, if the growth rate r and the initial population P is given, is,
P(t) = P(1 + r)^t
Here t = 9 years
P = 330,000
r = 4.25
P(9) = 330,000 (1 + 4.25)⁹
= 999, 879, 514, 205 ≈ 1 trillion
Hence the required population is 1 trillion.
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Answer the following.
(a) The diameter of Uranus at its equator is approximately 5.11 x 10 to the power of 4 kilometers . Write this number in standard notation.
(b) An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.00000768 meters. Write this number in scientific notation.
Answer:
(a) 51,100 kilometers.
(b) \(y = 7.68 * 10^{-6}\) meters
Step-by-step explanation:
(a) When converting from scientific notation to standard notation, split the equation.
When solving \(5.11 * 10^{4}\), begin by calculating \(10^{4}\).
\(10^{4}\) = 10,000
Multiply this by '5.11', resulting in:
5.11 × 10000 = 51,100 kilometers.
(b) When converting from standard form to scientific notation, count the number of zeros until the first non-zero digit. Therefore:
In 0.00000768, the '7' is placed 6 digits from the decimal. Recall that for decimals, the exponent is negative. Therefore in scientific notation, this equals: \(y = 7.68 * 10^{-6}\)
Les bought used books online. The paperbacks cost $2 each and the
hardcover cost $3 each. He spent no more than $90 on the books
and bought no more than 35 books. Let x represent how many
paperback books he bought, and y represent how many hardcover
books he bought. How many of each book did he buy?
Answer:
he bought 20 hard cover and
he bought 15 paper back
Step-by-step explanation:
3x20= 60
2x15= 30
90
write each number in two equivalent forms as a fraction, decimal, or percent.
0.29
35%
2/5
Answer:
43t;ouh43
Step-by-step explanation:
55r
Find the solution to the system
of equations. y=2x+3 y=-x
Answer:
X=-1, y=1
Step-by-step explanation:
- x=2x+3
-3x=3
X=-1
Y=-1*-1=1
1)
The sum of four consecutive integers is -18. What are the four integers?
(Use a let statement)
Answer:
-4 1/2
Step-by-step explanation:
-4 1/2 sum times 4 is -18
In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above
In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.
The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.
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Someone please help me ASAP!!
Answer:
B' = (-6,6)
Step-by-step explanation:
The coordinates of B are (-2,2)
If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)
a drug is effective in nine cases out of ten. if it is tested on 12 patients, what is the probability that it will be ineffective in more than two cases?
Probability that the drug will be ineffective in more than two cases is 0,68.
ProbabilityDrug is effective in 9 cases out of 10, so the drug:
Effective at 9/10Ineffective at 1/10If the drug is tested on 12 patients, then there are 13 possibilities, namely:
Drug effective in 0 patients, ineffective in 12 patientsDrug effective in 1 patient, ineffective in 11 patientsDrug effective in 2 patients, ineffective in 10 patients...Drug effective in 12 patients, ineffective in 0 patientsIn the problem, asked to find the probability of the drug being ineffective in more than 2 patients, there are 10 possibilities, namely
Drug effective in 9 patients, ineffective in 3 patientsDrug effective in 8 patients, ineffective in 4 patients...Drug effective in 0 patients, ineffective in 12 patientsThe way to find out the possibility of a drug being effective in 0-9 patients is:
P(effective ≤ 9) = P(effective 9) + P(effective 8) + ... + P(effective 0)
However, quite a lot is calculated if you use the formula above, less will be calculated if you use the method below:
P(effective ≤ 9) = 1 - ( P(effective 10) + P(effective 11) + P(effective 12) )
Let's try to start by calculating P(effective 10). P(effective 10) means the probability of being effective for 10 people and ineffective for 2 people. Then the effective probability is raised to the power of 10 and multiplied by the ineffective probability raised to the power of 2.
P(effective 10) = \((\frac{9}{10})^{10} .(\frac{1}{10} )^2\)
P(effective 10) = \(\frac{9^{10} }{10^{12} }\)
P(effective 10) = \(\frac{3486784401}{1000000000000}\)
So does P(effective 11) and P(effective 12)
P(effective 11) = \((\frac{9}{10} )^{11}.(\frac{1}{10})^{1}\)
P(effective 11) = \(\frac{9^{11} }{10^{12} }\)
P(effective 11) = \(\frac{3486784401}{1000000000000}\)
P(effective 12) = \((\frac{9}{10}) ^{12} .( \frac{1}{10} )^0\)
P(effective 12) = \(\frac{9^{12}}{10^{12}}\)
P(effective 12) = \(\frac{282429536481}{1000000000000}\)
So:
P(effective ≤ 9) = 1 - ( P(effective 10) + P(effective 11) + P(effective 12) )
P(effective ≤ 9) = 1 - ( \(\frac{3486784401}{1000000000000}\)+ \(\frac{3486784401}{1000000000000}\)+ \(\frac{282429536481}{1000000000000}\))
P(effective ≤ 9) = 1 - \(\frac{317297380491}{1000000000000}\)
P(effective ≤ 9) = 1 - 0,317297380491
P(effective ≤ 9) = 0,682702619509 ≈ 0,68
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which of the following is not one of the types of analytical procedures? ratio analysis trend analysis reasonableness tests regression analysis all of the above are examples of the types of analytical procedures
The four types of analytical procedures are ratio analysis, trend analysis, reasonableness tests, and regression analysis.
All of the above are examples of the types of analytical procedures.
Ratio analysis involves using various ratios and metrics to analyze a company’s financials.
These ratios can be compared to industry averages and other relevant information to gain insights into the company’s performance.
Trend analysis examines how different financial metrics are changing over time.
Regression analysis is used to determine the impact of one or more independent variables on one or more dependent variables.
Hope this helps!
Among the given options, "trend analysis" is not one of the types of analytical procedures.
Analytical procedures are the techniques or processes that are used to analyze the financial information.
Analytical procedures are the most essential part of the auditing process.
It helps to detect the errors, misstatements, and fraud in the financial statements.
There are four types of analytical procedures.
They are: Ratio Analysis: Ratio analysis is the process of analyzing the financial information by using various ratios.
The ratios help to determine the financial performance of the organization.
The various ratios that are used are profitability ratios, liquidity ratios, activity ratios, and solvency ratios.
It involves the use of nonfinancial data to determine the reasonableness of the financial information.
Regression Analysis: Regression analysis is a statistical tool used to determine the relationship between two variables. The variables are tested to determine how they are interrelated.
All of the above are examples of the types of analytical procedures.
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the confidence interval formula for a sample size is the same as the sample size formula for a mean. true false
The statement "the confidence interval formula for a sample size is the same as the sample size formula for a mean" is false because they serve different purposes and cannot be used interchangeably.
The formula for a confidence interval depends on several factors, including the sample size, the level of confidence, and the standard deviation of the sample. The formula for a confidence interval for a mean is:
Confidence interval = sample mean ± (t-value) x (standard error)
where the t-value is based on the level of confidence and the degrees of freedom, and the standard error is the standard deviation of the sample divided by the square root of the sample size.
In summary, while both formulas involve the sample size and are used in statistical analysis, the confidence interval formula and the sample size formula for a mean are distinct and cannot be used interchangeably.
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HELP ASAP
Jim went to the bank and made of a deposit of $525 into his checking account. He had both cash and a check. The check he deposited was written for $250. How much cash did he deposit? Construct an equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.
can anyone help me? (:
Answer:
I think its b
Step-by-step explanation:
Answer:
this answer is b
Step-by-step explanation:
have a good day
-x-2+15x simplify combining like terms
Answer:
-x+15x = 14x
14x-2 is the expression simplified
hope its correct and it helped.
Step-by-step explanation:
3x - 12y = 6
x - 4y = 2
solve by elimination
3x-12y=6
x-4y=3--(1)x-4y=2--(2)Lets convert to slope intercept form
4y=x-34y=x-2Slopes are equal so lines are parallel
Hence no solutions
If you go on both rides, can you be confident that your wait time for Speed Slide will be longer than your wait time for Wave Machine? Yes. Every Speed Slide wait time is more than every Wave Machine wait time. No. There is a lot of overlap in the two data sets.
Answer:
No
Step-by-step explanation:
Hope this helps :)
Lindsey bought a package of 3 chocolate cookies. Each cookie weighed 0.3 ounces. How much did the 3 cookies weigh all together?
Answer:
0.9 ounces
Step-by-step explanation:
Each cookie weighs 0.3 ounces and there are 3 cookies. So multiply 0.3 by 3 and you get 0.9.
hope this helps, brainliest appreciated!
a lion can run miles per hour. how fast can the lion run in kilometers per minute? first fill in the two blanks on the left side of the equation using two of the ratios. then write your answer rounded to the nearest hundredth on the right side of the equation.
The lion is the second fastest land animal in all of Africa, reaching a top speed of 81 km/h (50.3 mph). The lion can consider itself faster than other animals, only being outpaced by the cheetah, which can achieve an astounding 120 km/h (74 mph).
How is a ratio calculated?In mathematics, a ratio shows how many times one number is represented by another. For instance, if there are eight oranges and six lemons in a dish of fruit, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).Ratios function by dividing two integers to compare. If you were comparing one data point (A) with another data point, your formula would be A/B. (B).You are multiplying information A by information B by doing this. Your ratio will be 5/10.14, for example, if A is 5 and B is 10.To put it simply, the ratio is the number that can be used to show one quantity as a proportion of another.To learn more about ratio, refer to:
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1. Identify each number as rational or irrational. Give a reason for your choice.
Part I: The number 0.35 is a(n) _I
number because
Answer:
rational
Step-by-step explanation:
it can be written as a fraction
Cole jarred 8 liters of jam after 2 days. How much jam did Cole jar if he spent 5 days making jam? Assume the relationship is directly proportional.
Find the perimeter of the polygon with the vertices U(−2, 4), V(3, 4),U(−2, 4), V(3, 4), and W(3,−4)W(3,−4).
Answer:
Perimeter = 22.434
Step-by-step explanation:
To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:
The formula for the distance between two points is:
\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)
side UV:
\(UV = \sqrt{(-2 - 3)^2 + (4 - 4)^2} = 5\)
side VW:
\(VW = \sqrt{(3 - 3)^2 + (4 - (-4))^2} = 8\)
side UW:
\(UW = \sqrt{(-2 - 3)^2 + (4 - (-4))^2} = 9.434\)
So the perimeter is:
\(P = UV + VW + UW\)
\(P = 5 + 8 + 9.434 = 22.434\)
SOLVE THIS PROOF PLEASE
Answer:
wait what are you trying to find i-
Step-by-step explanation:
30 pts!!!
Which numbers are equivalent to 34?
(Choose 2)
a. 7.5
b. 750/100
c. 75%
d. 0.75
Answer:
C and D (maybe)
Step-by-step explanation:
75 hundeds are equal to 75%
Click through the following graphics and select which relation represented by the graph shows a function.
Select the number please.
Answer:
i would say number 1
Step-by-step explanation:
Which shows the expressions in the order they would appear on a number line from least to greatest? (1 point) a 17 over 9 , Square root of 6 , Square root of 15 , Square root of 30 , 33 b 33, Square root of 30 , Square root of 15 , Square root of 6 , 17 over 9 c 33, Square root of 6 , Square root of 15 , 17 over 9 , Square root of 30 d 17 over 9 , Square root of 30 , Square root of 15 , 33, Square root of 6
The arrangement of the numbers on the number line is;
17/9 < √6 < √15 < √30 < 3³.
What is the number line?The number line refers to an orderly arrangement of numbers. We must know that the number line moves from left to right. The numbers are always increasing from left to right along the number line.
Now the numbers are;
17/9 = 1.89 √6 = 2.45 √15 = 3.87 √30 = 5.483³ = 27Hence the arrangement of the numbers on the number line is;
17/9 < √6 < √15 < √30 < 3³.
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PLEASE!!!!If DEF =110 then what are FEG and HEG?
Answer:
FEG: 70 degrees
HEG: 110 degrees
Step-by-step explanation:
vertical angles are the same, and for supplementary angles you subtract 180, so likes for FEG you subtract 110 from 180, and for HEG its just the same thing
What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
HELP ILL GIVE 50 POINTS.!!
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (5, 3072)(5,3072).
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2 hopefully this helped.
Answer:
y=3(4) x
Step-by-step explanation: