Answer: d. 658,350
Step-by-step explanation: A total of 3,300,000 of tax returns are filed.
When filed electronically, 0.05% of all the returns contain errors, which means:
3,300,000 * [tex]\frac{0.05}{100}[/tex] = 1650
When filed manually, 20% contain error:
3,300,000 * 0.2 = 660000
The difference of the number of tax returns that contain error between manually and electronically filed is
660,000 - 1,650 = 658,350
There will be 658,350 tax returns filed manually more than electronically.
The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
Number of manually filed return:Using this formula
Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)
Let plug in the formula
Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)
Number of manually filed returns=660,000-1650
Number of manually filed returns=658,350
Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
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Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 57 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 65 is within one standard deviation of the mean.
Answer:
a. 72
b. 816
c. 570
d. 30
Step-by-step explanation:
Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.
Please refer the figure for a better understanding.
a. In a normal distribution, Mean = Median = Mode
Therefore, Median = Mean = 72
b. We have to know that 68% of the values are within the first standard deviation of the mean.
i.e., 68% values are between Mean Standard Deviation (SD).
Scores between 63 and 81 :
Note that 72 - 9 = 63 and
72 + 9 = 81
This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.
Now, Scores between 63 and 81 =
= 68 X 12 = 816.
That means 816 students have scored between 63 and 81.
c. We have to know that 95% of the values lie between second Standard Deviation of the mean.
i.e., 95% values are between Mean 2(SD).
Note that 90 = 72 + 2(9) = 72 + 18
Also, 54 = 63 - 18.
Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to of the values.
Therefore, Scores between 72 and 90 =
= 570.
That is a total of 570 students scored between 72 and 90.
d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.
In this case, 5 % of the values lie between below 54 and above 90.
Since, we are asked to find scores below 54. It should be 2.5% of the values.
So, Scores below 54 =
= 2.5 X 12 = 30.
That is, 30 students have scored below 54.
Step-by-step explanation:
It is found that score of 62 is not within one standard deviation of the mean.
What is z - score?The Z-score measures how many standard deviations the measure is from the mean. If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have [tex]X \sim N(\mu, \sigma)[/tex]then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
In a set with mean and standard deviation, the z- score of a measure X is given by:
[tex]Z = \dfrac{X - \mu}{\sigma},[/tex]
Z-score, we look at the z-score table and find the p-value associated with this z-score.
Given that Mean score of 54 and a standard deviation of 6.
This means to see if a score of 62 is within one standard deviation of the mean.
Is Z between -1 and 1 when X = 62.
[tex]Z = \dfrac{X - \mu}{\sigma},\\Z = \dfrac{62 - 54}{6},[/tex]
Z = 1.33
Therefore, It is found that score of 62 is not within one standard deviation of the mean.
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Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select the true statement.
Answer:
segment EF is twice as long as segment AB
Step-by-step explanation:
Quadrilateral EFGH and quadrilateral ABCD are similar polygons. We can say that two polygons are similar if their corresponding angles are equal to each other and their corresponding sides are proportional to each other.
From the image attached, we can see that side CD and side GH are corresponding sides. The ratio of their sides are to be proportional.
GH / CD = 12 / 6 = 2
Therefore Quadrilateral EFGH is twice the size of Quadrilateral ABCD. Since side EF and side AB are proportional, therefore segment EF is twice as long as segment AB
Match the properties with the steps to solving the following equation.
(8.x – 6) = x + 9
Answer:
8x - 6 = x + 9 : Given
7x - 6 = 9 :Subtraction property of equality
7x = 15 : Addition property of equality
x = 15/7 : Division property of equality
x = 2.143
Step-by-step explanation:
Match the properties with the steps to solving the following equation.
(8x - 6) = x + 9
8x - 6 = x + 9 : Given
8x - x - 6 = x + 9 - x
7x - 6 = 9 :Subtraction property of equality
7x - 6 + 6 = 9 + 6
7x = 15 : Addition property of equality
7x/ 7 = 15/7
x = 15/7 : Division property of equality
x = 2.143
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1100 voters in the town and found that 54% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 50%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
The p-value is [tex]p-value = 0.0039854[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1100
The population proportion is p = 0.50
The sample proportion is [tex]\^ p = 0.54[/tex]
The null hypothesis is [tex]H_o : p = 0.50[/tex]
The alternative hypothesis is [tex]H_a : p > 0.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]
=> [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]
=> [tex]z = 2.6533[/tex]
Generally from the z-table the probability of 2.6533 for a right tailed test is
[tex]p-value = 0.0039854[/tex]
7. A crew of electricians can wire 6 houses in 243 hours. How many hours will it take them to wire
13 houses?
Playing golf, Mike got a + 2on the first hole and - 2 on the second hole. What is his combined score for the first two holes?
Answer:
0
Step-by-step explanation:
he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0
There are 8 fluid ounces in one cup.
Write this as a unit rate.
Hint: use per, every, or each.
Answer:
8
Step-by-step explanation:
4(7 + 8m)=8(-1 + 4m)
Answer:
There is no solution
Step-by-step explanation:
Let's use distributive property to solve this equation.
4(7+8m) = 8(-1+4m)
28+32m = -8+32m
-32m -32m
28= -8
There is no solution
Hope this helps!
Solve the system by substitution.
9x + 3y = -30
– 5x = y
Answer:
x= -1/3
y= -2
Step-by-step explanation:
got it right on my quiz
The solution to the system of equations is (x, y) = (5, -25) which is determined by the substitution method.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The system of equations is given, as follows
9x + 3y = -30 ....(i)
– 5x = y ....(ii)
To solve the system of equations by substitution, we can use the second equation to substitute for y in the first equation.
First, we'll solve the second equation for y:
y = -5x
Now we'll substitute that value for y in the first equation:
9x + 3(-5x) = -30
9x - 15x = -30
-6x = -30
x = 5
Now we can substitute that value for x back into the second equation to find y:
y = -5(5)
y = -25
So the solution to the system of equations is (x, y) = (5, -25).
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350 - 15x = 200 - 10x
Sam’s Jet Ski rental charges $350 to rent a jetski plus $15 per hour. Brian’s Jet Ski rental charges $200 to rent a jetski plus $10 per hour
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
Water tank A has 350 gallons of water and is losing 10 gallons per minute. Water tank B has 200 gallons of water and is losing 15 gallons per minute
Tree A has a height of 350 centimeters and is growing at a rate of 15 cm per day. Tree B has a height of 200 centimeters and is growing at a rate of 10 centimeters per day
Answer
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
Expand the following expression 3(4−5x)
Answer:
12-15x
Step-by-step explanation:
3 × 4=12
3 × -5x=-15x
12 - 15x
The mean of the standard normal distribution is 1 and the standard deviation is 0. Group of answer choices False True
Answer:
True
Step-by-step explanation:
The standard normal distribution is special case of normal distribution which centers at 0 thus the mean μ of standard normal distribution is zero and the dispersion from mean value is unity measured by standard deviation σ.
Thus, the mean of standard normal distribution is zero and standard deviation is unity.
each friend received 5/4 of a pound of berries, how many friends are sharing berries?
Answer:
2
Step-by-step explanation:
If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.
A large bag of cashews weighs 9 1/4 pounds. One serving is 1/5 pound. How many servings are in the bag.
Answer as a mixed number = 46 & 1/4
Answer as a decimal = 46.25
===============================================
Work Shown:
9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25
1/5 = 0.2
A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.
Let x be the number of servings
1 serving = 0.2 pounds
x servings = 0.2x pounds after multiplying both sides by x
0.2x pounds represents the total bag's weight so,
0.2x = 9.25
x = 9.25/0.2
x = 46.25 answer in decimal form
x = 46 + 0.25
x = 46 + 1/4
x = 46 & 1/4 answer in mixed number form
This means we have 46 full servings plus an additional 1/4 of a serving.
The quotient of q and 14 is less than 28
Answer:
q<392
Step-by-step explanation:
First, we turn words into an inequality. Then, we solve for q.
[tex]\frac{q}{14} <28\\q<28*14\\q<392[/tex]
It is also a good idea to check our answer, to make sure it is reasonable and we did not make a careless mistake.
[tex]3<392\\\frac{3}{14} <28[/tex]
The value satisfies the equation, so this should be correct.
josh has $300 in his savings account. his account earns 2% interest each month
Answer:
$6 dollars i guess
Step-by-step explanation:
what Mitochondria of a
of a cell
Answer:
membrane-bound cell organelles
What are the coordinates of the point (-3, 4) after a translation 5 units
right and 6 units down?
Answer:
(2,-2)
Step-by-step explanation:
To visit the top of the Empire State building , a ticket in 1999 cost four dollars , in 2019 the same ticket cost $32 ,what was the percentage change in the cost of the ticket ?
Answer:
700%
Step-by-step explanation:
The formula to find the percentage is found below =
[tex]\frac{changeinvalue}{absolutevalueoftheoriginalvalue} * 100[/tex]
So to find the change in value, we must subtract 32 from 4, which gets us -28.
We know the og value already, 4 dollars.
So do the division
[tex]\frac{-28}{4} =-7[/tex]
Now the multiplcation,
-7 * 100
-700
700%
Which table of values does not represent a linear function
Answer: B.
I think that it is probably too late but it is table (B.)
Step-by-step explanation:
It is a proportional relationship becuase In table B. The y section goes up by .5 each time
Answer:
C does not represent a linear function.
Step-by-step explanation:
C is the only one that has a different rate of change. If you find the rate of change between the top two, the bottom two's rate of change will be different. For a function to be linear, it has to have a constant rate of change. C does not, therefore, C is the answer.
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The distribution of speeds on a particular highway has a mean of 60 mph with a standard deviation of 10 mph. The distribution of speeds is NOT known to be bell-shaped. Use the scenario to answer the next 3 questions.
At least what percentage of cars is traveling between 40 and 80 mph?
At least what percentage of cars is traveling between 20 and 100 mph?
If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
Answer:
a) At least what percentage of cars is traveling between 40 and 80 mph?
75%
b) At least what percentage of cars is traveling between 20 and 100 mph?
93.75%
c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
30 cars.
Step-by-step explanation:
We apply Chebyshev's Theorem
This states that:
1) At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
2) At least 8/9 (88.89%) of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
3) At least 15/16 (93.75%) of data falls within 4 standard deviations from the mean - between μ - 4σ and μ + 4σ.
From the question, we have:
Mean of 60 mph
Standard deviation of 10 mph.
a) At least what percentage of cars is traveling between 40 and 80 mph?
Applying:
Applying the first rule: At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
μ – 2σ
60 - 2(10)
60 - 20
= 40 mph
μ + 2σ.
60 + 2(10)
60 + 20
= 80 mph
Hence, at least 75% of cars is traveling between 40 and 80 mph.
b) At least what percentage of cars is traveling between 20 and 100 mph?
At least 15/6 (93.75%) of data falls within 4 standard deviations from the mean - between μ – 4σ and μ + 4σ.
μ – 4σ
60 - 4(10)
60 - 40
= 20 mph
μ + 4σ.
60 + 4(10)
60 + 40
= 100 mph
Hence, at least 93.75% of cars is traveling between 40 and 80 mph.
c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
Since we know from question a) that
at least 75% of cars is traveling between 40 and 80 mph.
Given a sample of 40 cars:
75% of 40 cars
= 75/100 × 40
= 30 cars.
The number of cars that are traveling between 40 and 80 mph is 30 cars.
Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS
Answer:
RS = 2
Step-by-step explanation:
Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS
Hence:
RS + ST = RT
2x - 4 + 3x + 2 = 13
2x + 3x - 4 + 2 = 13
5x - 2 = 13
5x = 13 + 2
5x = 15
x = 15/5
x = 3
To find the value of RS
RS = 2x-4
RS = 2 × 3 - 4
RS = 6 - 4
RS = 2
Communities A, B and C are faced with water problem. The distance between communities A and B is 5km and that of A and C is 7km, the angle between the path AB and AC is 45 degrees. If a well a well is to dug for the communities, indicate by way of sketching exact place to dig the well
Answer:
3.5 km between communities AC
Step-by-step explanation:
The idea is to find a common position for all the communities to locate the well
Kindly find attached a rough sketch of the problem for your reference.
Given that
AB=5km
AC=7km
From the diagram we can see that for all three communities to travel equal distance to the common well, the well has to be situated at 3.5km between communities AC.
Also, from the diagram the location of well is the intersection between the diagonals of the rectangular shape.
Select the word problem that can be modeled by the addition of two negative numbers. A Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions? B Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions? C Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? D Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?
Step-by-step explanation:
Word problem which can be modeled by the addition of two negative numbers :
A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions
Amount spent on cracker = - $4
Amount spent on carrot = - $3
Change in account = - 4 + (-3) = - $7
B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?
Amount received from sale of cat = $9
Amount spent on plant = - $4
Change in account = 9 + (-4) = $5
C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?
Amount received from sale of pottery = $9
Amount received from sale of hat = $2
Change in account = 9 + 2 = $11
D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Amount spent on VCR = - $8
Amount received from sale of VCR = $9
Change in account = - 8 + 9 = $1
Point E is located at -1p on the number line, Point F is located at 9 on the number line.
What is the distance between Point E and Point F on the number line? Enter the answer in the box. PLS HELP MEEEE
Answer:
-1 p will be a ok answer please with
A sample of students that had stuffy or runny noses were blindly given a single Skittles candy to put in their mouth. They were told the five possible flavors and then were asked which flavor they had. Of the 118 students tested, 44 gave the correct answer. Find a 95% confidence interval for the proportion of all students with stuffy or runny noses that could correctly identify a Skittles flavor blindly.
Answer:
The confidence interval is [tex]0.2857< p < 0.4601[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 118
The number that gave the correct answer is k = 44
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{44}{118}[/tex]
=> [tex]\^ p =0.3729[/tex]
Generally given that the confidence level is 95% the level of significance is mathematically represented as
[tex]\alpha = (100 -95) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{p(1 - p)}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.3729(1 - 0.3729)}{118} }[/tex]
=> [tex]E = 0.0872 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.3729 -0.0872< p < 0.3729 +0.0872[/tex]
=> [tex]0.2857< p < 0.4601[/tex]
Find the slope of each line.
17) y=-5x - 1
what is the solution of x^3 -1 / x^2 + 5x +4 < 0?
Answer:
Its a little confusing if i wrote it so here hope this helps.
Step-by-step explanation:
What are pyrotechnics? How have pyrotechnics and sounds changed the filming ?
Answer:
Pyrotechnics are self-contained, self -sustained explosions, fires, flames, and fireworks used in live performances, film, and other forms of entertainment. Pyrotechnics/sounds, combined together have changed the filming industry by making special effects more realistic and experiential to the viewer. This has allowed these types of effects to be done safety.
Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.
Here is the question, a definition of pyrotechnics has been asked.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Explosions, fires, flames, and fireworks that are self-contained, and self-sustaining are known as pyrotechnics and are utilized in live performances, movies, and other forms of entertainment. By enhancing the viewer's sense of realism and immersion in the special effects, fireworks and sounds have transformed the cinema industry. This has made it possible to perform these kinds of effects safely.
Thus, Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.
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What point is a solution to the inequality shown in this graph? (-3,-6) & (3,2)
Answer:
(0,5)
Step-by-step explanation: