Kathy and her friends got 2 Pizzas They ate: 4/8 of a pizza on Monday. 3/8 of a pizza on Tuesday and 5/8 of a pizza on Wednesday. How much pizza was left after they finished eating on Wednesday? (Work it out)
Answers
Answer:
I can answer this give me one moment
Related Questions
according to the text, the fact that multiple models of abnormality exist is caused by all of these except:
Answers
The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.
The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.
the complete question is :
according to the text, the fact that multiple models of abnormality exist is caused by all of these except:
A. Cultural and social values
B. Cognitive bias
C. Biological factors
D. Limited research
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A reservoir in the shape of a right circular cylinder is to contain 79,200 L of water. If the radius of the cylinder is 3 m, find its height.
Answers
Please find attached herewith the solution of your question.
Answer: 2.8 m
Hope it helps.
If you have any query, feel free to ask.
A baby weighs 4kg when he is born. One week later he weighs 8% less than his birth weight.
a) How much does the baby weigh when he is one week old?
b) The baby gains 200g every two weeks for the next eight weeks. How much does the baby weigh when he is nine weeks old?
Answers
Answer:
a)3.68kg
b)900g
Step-by-step explanation:
a) First off we know that he weighs 4kg now and he weighed 8% less the next week. 8% of 4kg=0.32kg. We then have to subtract 0.32 kilograms from the original weight. 4-0.32=3.68
Your answer for A is 3.68 kg
b) If the baby gains 200g every two weeks, assuming it's a constant rate, he should gain 100g every week. 100*9weeks=900g.
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Question Details
*REQUIRED 15
1. To earn full credit, you must show ALL
of your steps and calculation leading to
your solution. You will be assessed on
your mathematical communication, use
of mathematics and accuracy of your
results.
Find the area of the parallelogram.
View Rubric
Answers
The required area of the parallelogram is 36√2 square units.
How to find the area of parallelogram?To find the area of the parallelogram, we can use the formula:
Area = base x height
where the base is one of the sides of the parallelogram, and the height is the perpendicular distance between the base and the opposite side.
First, we need to find the length of one of the sides of the parallelogram. Let's take RS as the base.
RS = √[(2-(-4))² + (6-4)²] = √(6² + 2²) = √40 = 2√10
Next, we need to find the height of the parallelogram corresponding to the base RS. To do this, we need to find the distance between the line RS and the point T.
The equation of the line RS can be found using the slope-intercept form:
y - y1 = m(x - x1)
where (x1, y1) is one of the points on the line, and m is the slope of the line. Let's take R(-4, 4) as the point on the line. The slope of RS can be found as:
m = (6 - 4) / (2 - (-4)) = 1/3
Using point-slope form, the equation of RS is:
y - 4 = 1/3(x - (-4))
Simplifying, we get:
y = x/3 + 16/3
To find the distance between the line RS and point T(6,2), we need to find the perpendicular distance between T and the line RS. We can use the formula for the distance between a point and a line:
distance = |ax1 + by1 + c| / √(a² + b²)
where a, b, and c are the coefficients of the equation of the line in the standard form (Ax + By + C = 0), and (x1, y1) is the point.
Converting the equation of RS to the standard form, we get:
-2x + y - 8 = 0
Using this equation, we can find the distance between T and RS as:
distance = |(-2)(6) + (1)(2) - 8| / √((-2)² + 1²)
= 18/√5
the area of the parallelogram is:
Area = base x height = RS x distance between T and RS = 2√10 x 18/√5 = 36√2 = 36√2 square units.
So the area of the parallelogram is 36√2 square units.
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Use the Counting Principle to find the probability. rolling a 4 on each of 4 number cubes
Answers
Answer:
Step-by-step explanation:
There is a 1/6 chance for the first cube
There is a 1/6 chance for the second cube
There is a 1/6 for the third cube
There is a 1/6 for the fourth cube.
=========
Probability for all events is (1/6)^4
P(all 1/6) = 1/1296 = 0.00077
(6.2 x 10²) x (3.5 x 10³)
Answers
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Jamar's Social Security benefit at full retirement age will be $1,876.00 per month. Determine how much his monthly benefit will be reduced if he begins collecting 46 months early.
$415.65
$453.37
$489.76
$501.15
Answers
If Jamar begins collecting 46 months early , his monthly benefit will be reduced is C. $489.76
To calculate the reduction in Jamar's monthly Social Security benefit if he begins collecting 46 months early, we need to consider the reduction factor for early retirement.
As of my knowledge cutoff in September 2021, for individuals who start collecting Social Security benefits before reaching full retirement age, the reduction factor is approximately 0.00556 (0.56% per month).
To calculate the reduction, we multiply the number of months by the reduction factor and then multiply that by the full retirement benefit amount:
Reduction = (Number of Months Early * Reduction Factor) * Full Retirement Benefit
Given:
Number of Months Early = 46
Full Retirement Benefit = $1,876.00 per month
Reduction Factor = 0.00556
Plugging in the values into the formula, we have:
Reduction = (46 * 0.00556) * $1,876.00
Reduction ≈ 0.25576 * $1,876.00
Reduction ≈ $479.82
Therefore, the monthly benefit reduction if Jamar begins collecting 46 months early would be approximately $479.82. Among the answer choices provided, the closest option is $489.76. Therefore, Option C is correct.
The question was incomplete. find the full content below:
Jamar's Social Security benefit at full retirement age will be $1,876.00 per month. Determine how much his monthly benefit will be reduced if he begins collecting 46 months early.
A. $415.65
B. $453.37
C. $489.76
D. $501.15
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Mr. Josh spends $153 every week on gas to get to work. How much d
Mr. Josh spend annually to go to work?
O $7,956
O $7,650
O $1,836
O $27,540
I keep getting 7344
Answers
Total amount spend by Mr. Josh is,
⇒ $7,978
We have to given that,
Mr. Josh spends $153 every week on gas to get to work.
Since, We know that,
1 year = 52.1429 weeks
Here, Mr. Josh spends $153 every week on gas to get to work.
Hence, Amount Mr. Josh spend annually to go to work is,
⇒ $153 × 52.1429
⇒ $7,978
Therefore, Total amount spend by Mr. Josh is,
⇒ $7,978
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
Answers
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Mrs. Holzman weighs 140lbs. She goes on a diet for 4 weeks and loses 3 pounds per week. After weeks, she starts to gain back 1 pound a week for the next 3 weeks. What is her final weight after those seven weeks?
Answers
Mrs Holzman weights 140 lbs
3 pounds per week
she loose in four weeks
3*4=12 pounds
She gain in three weeks
1 pound*3= 3 pound
Her final weight
140-12+3=131 pounds
A walking path across a park is represented by the equation y = -4x + 10. A new path will be built perpendicular to this path. The paths will intersect at the point (4, -6). Identify the equation that represents the new path.
Answers
Answer: \(y=\frac{1}{4}x-7\)
Step-by-step explanation:
The perpendicular slope of the line(m) = \(-\frac{1}{m}\):
m = -4 ⇒ \(-\frac{1}{m} =-\frac{1}{(-4)} =\frac{1}{4}\)The function formula is y = mx + b, where the y-intercept(b) is found by substituting in the values of a point on the line ⇒ (4, -6):
\(y=\frac{1}{4}x+b\\-6=\frac{1}{4}(4)+b\\-6=1+b\\b=-6-1=-7\)
So the perpendicular equation is \(y=\frac{1}{4}x-7\).
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
Answers
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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The solution to an inequality is represented by the number line.
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
How can this same solution be written using set-builder notation?
Answers
The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.
What is the set builder notation representation of the solution?It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.
And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.
The representation is therefore; {x: 3< x <=5}.
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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.
This is further explained below.
What does the answer look like when represented using set builder notation?Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.
And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.
As a result, the representation is written as:
"x: 3 x = 5."
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f(x) = 3x + 12, g(x) = 3x - 1;
=
=
Find (fºg)(x).
Answers
\(\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)\)
60% of the books in a library are for adults, 5% are for young people and the rest are for children. If there are 280 books for children, how many books are there altogether?
Answers
Answer:
800 books
problem solving steps：
adults:60%
young people:5%
children=100%-60%-5%
=35%
35%=280 books
1%=280÷35
=8
100%=800
so,there are 800 books
What is the least common denominator of 7/10 and 4/9
Answers
Answer:
7/10 = 63/90
4/9 = 40/90
Step-by-step explanation:
Rewriting input as fractions if necessary:
7/10, 4/9
For the denominators (10, 9) the least common multiple (LCM) is 90.
LCM(10, 9)
Therefore, the least common denominator (LCD) is 90.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/10 = 7/10 × 9/9 = 63/90
4/9 = 4/9 × 10/10 = 40/90
If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.
The product is equivalent to ay/bx
The product is a rational expression.
The product is equivalent to a/y(x/b)
The product is the ratio of ax and by.
The product is equivalent to ax/b(y)
Answers
Answer:
It’s the 2nd,3rd,and 4th
Step-by-step explanation:
I just took the quiz
Answer:
2,3,4
Step-by-step explanation:
Find the value of x.
25
X
20
X = [?]
Enter the number that belongs in
the green box.
![Find the value of x.25X20X = [?]Enter the number that belongs inthe green box.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/a5CrdXhdSC0O1YCypzUnHgiI1tyPeImZ.png)
Answers
Answer:
Step-by-step explanation:
x^2 + 20^2 = 25^2
x^2 + 400 = 625
625-400=225
sqrt(225) = 15
x = 15
If I make $13.50 per hour, how much will I make every minute? Every 10 minutes?
Answers
Answer:
$0.23 per minute
$2.30 every 10 minutes
Step-by-step explanation:
there are 60 minutes in an hour so we divide 60 from 13.50
13.5/60= $.23
you make $.23 a minute and $2.30 every 10 minutes
Hopes this helps please mark brainliest
Answer:
Every minute you'll get $0.225 and per 10 minutes, you'll get $2.25.
Step-by-step explanation:
To find out how much you make per minute, divide $13.50 by 60. 60 because that is how many minutes is in 1 hour.
13.50 divided by 60 = $0.225
To find the amount you'll get for 10 minutes, multiply the last answer by 10, or just move the decimal sign over once:
$2.25
Brainliest please! I am so close to getting my next rating! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
Answers
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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PLEASE ANSWER QUICKLY
What is the correct definition for sec 0? A. sec 0 = cos-1 0 B. sec 0 = sin-1 0 C. sec 0 = 1/sin 0 D. sec 0 = 1/cos 0 E. sec 0 = 1/tan 0
Answers
sec(theta) = 1/cos(theta)
I believe that is your option D
What is the Domain of f(x) = -x^3 + 6x^2 -10x + 4
Answers
We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.
To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.
Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.
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A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
Answers
Based on the number of people employed in education and health service industries in 2009, the number of new jobs that will be gained between 1/2009 and 1/2016 is b. 2,826,800 people.
How many jobs will be gained?The number of total jobs in 2016 can be found as:
= Number of jobs in education and health service industries x (1 + rate of increase)
= 19,200,000 x (1 + 14.8%)
= 19,200,000 x 1.148
= 22,041,600 people
The number of new jobs are:
= 22,041,600 people - 19,200,000
= 2,841,600 people
= 2,826,800 people approximate
Graph and options for the question are:
Education and Health Services - All Employees, 2000-2009 A line graph titled Education and Health Services, All Employees, 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 15,000 on January 2000, and increases gradually to 16,000 on January 2002, 17,200 on January 2005, 18,100 on January 2007, and 19,200 on January 2009.
a. 21,926,800
b. 2,826,800
c. 16,273,200
d. 1,790,600
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Answer:
b on edge
Step-by-step explanation:
ssume all information in example 1 above and the following additional information: Actual data for job 201 is give is given belowActual shirts completed for job 201………………2,000 shirtsActual direct material cost used………………...$30,000Actual direct cost incurred……………………...$20,000Actual direct labor hours used…………………. 400 hoursActual machine hours…………………………. 240 hoursInstruction: compute the applied factory overhead and determine the total cost of job 201 under each of the five bases. A) Physical output as allocation baseDirect materials cost as allocation base Direct labor cost as allocation base Direct labor hours as allocation baseMachine hours as allocation base
Answers
The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.
Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.
Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.
Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $30,000*120% = $36,000.
Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.
-Direct labor cost as allocation base:
The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $20,000*120% = $24,000.
Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Direct labor hours as allocation base:
The actual direct labor hours used in job 201 is 400 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.
Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.
-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.
The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.
The applied overhead cost for job 201 is $24*240 hours = $5,760.
Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.
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Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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A Gallup poll conducted in November of 2011 asked the following question, “What would you say is the most urgent health problem facing this country at the present time?” The choices were access, cost, obesity, cancer, government interference, or the flu. The responses were access (27%), cost (20%), obesity (14%), cancer (13%), government interference (3%), or the flu (less than 0.5%).
The following is an excerpt from the Survey Methods section. “Results for this Gallup poll are based on telephone interviews conducted Nov. 3-6, 2011, with a random sample of 1,012 adults ages 18 and older, living in all 50 U.S. states and the District of Columbia. For results based on a total sample of national adults, one can say with 95% confidence that the maximum margin of sampling error is ±4 percentage points.”
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The results show that the most common response was access, with 27% of the respondents choosing it as the most urgent health problem.
Cost came in second place, with 20% of the respondents choosing it. Obesity and cancer followed closely behind, with 14% and 13% of the respondents choosing them, respectively. Government interference and the flu were the least common responses, with only 3% and less than 0.5% of the respondents choosing them, respectively.
The margin of sampling error for the poll is ±4 percentage points, which means that if the poll was conducted multiple times, 95% of the time, the results would be within 4 percentage points of the actual population values.
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There are 9 green apples and 5 red apples in a basket (a) what is the ratio of green apples to all the apples in the basket (b) what is the ratio of red apples to all apples in the bag 
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After answering the provided question, we can conclude that So the ratio of red apples to all the apples in the basket is 5:14.
What is ratio?In mathematics, ratios show how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit dish, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, while the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of numbers a and b expressed as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one boy and three girls (for every boy she has three girls), 3/4 are girls and 1/4 are boys.
(a) The ratio of green apples to all the apples in the basket is:
Green apples : Total apples = 9 : (9+5) = 9 : 14
So the ratio of green apples to all the apples in the basket is 9:14.
(b) The ratio of red apples to all apples in the basket is:
Red apples : Total apples = 5 : (9+5) = 5 : 14
So the ratio of red apples to all the apples in the basket is 5:14.
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Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow?
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Answer:
after 2 hours, andafter 5 hoursStep-by-step explanation:
Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.
SetupThe absolute value will be 90 when the argument of the function is either -90 or +90.
The question resolves to two equations:
210 -60t = -90210 -60t = 90SolutionThese two-step linear equations can be solved in the usual way:
-60t = -300 . . . . subtract 210-60t = -120Then ...
t = -300/-60 = 5 . . . . divide by the coefficient of tt = -120/-60 = 2Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.
Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
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Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
5. A certain company stock began at a starting price of $23
per share. After five weeks of trading, the new company
stock has changed price every week, x, according to the
function h(x) = 25(0.93)*.
Which of the following is true?
F. The stock has increased by 93% of its original value.
G. The stock has lost 79% of its value every week.
H. The stock is worth $23.25 per share after five weeks.
). The stock has more than doubled its original value.
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Answer:
$ 56.25 is he answer
Step-by-step explanation:
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