i need an answer so pls answer
Answer:
d
Step-by-step explanation:
the answer is d 17 miles/gallon
Answer: B) 11 miles/gallon
This can be written as 11 miles per gallon and shortened to 11 mpg
==========================================================
Explanation:
The odometer reads 143,986 miles when the gas tank is full.
Then it reads 144,261 miles when the gas tank is empty (when all the gas is used up).
This is a difference of 144,261-143,986 = 275 miles.
The truck's gas tank has a capacity of 25 gallons, so this means
(275 miles)/(25 gallons) = 11 miles/gallon = 11 miles per gallon
is the gas mileage of the truck.
----------------
Put another way:
We know the truck traveled 275 miles on 25 gallons. We can form this ratio
275 miles : 25 gallons
Divide both parts by 25 to get the "25 gallons" to turn into "1 gallon"
275 miles : 25 gallons
275/25 miles : 25/25 gallons
11 miles : 1 gallon
Therefore, each gallon of gas will let the truck drive 11 miles. So the truck gets 11 mpg.
Fin the Interquartile Range
4|1 2 3 5 5 6
5|1 1 8 8 8 9
6|0 0 0 1 2 5
7|1 1
The interquartile range of the stem and leaf plot is 6.
What is the interquartile range?The table given is a stem and leaf plot. A stem and leaf plot is a table that divides a number into a stem and a leaf. The stem is the tens digit and the leaf is the unit digit.
The interquartile range is the difference between the third quartile and the first quartile.
Third quartile = 3/4(n + 1) = 61
First quartile = 1/4 x (n + 1) = 55
Interquartile range = 61 - 55 = 6
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If 142 adults are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 1.5 kilograms
Complete question;
The mean weight of an adult is 76 kilograms with a variance of 100.
If 142 adults are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 1.5 kilograms
Answer:
7.34% 0r 0.0734
Step-by-step explanation:
We have mean u = 76
Standard deviation = square root of variance
Sd = √100 = 10
N = 142
S = 10/√142
= 10/11.92
= 0.84
X is going to differ by more than 1.5 or less than 1.5
76-1.5 = 74.5
76+1.5 = 77.5
At x = 74.5
Z = (74.5-76)/0.84 = -1.79
At x = 77.5
Z = (77.5-76)/0.8 = 1.79
P value of z at -1.79 = 0.036
P value of z at 1.79 = 0.9633
0.9633-0.0367 = 0.9266
Which is 92.66% probability of differing by 1.5
Probability it differs by more:
P+92.66 = 100
P = 100-92.66
= 7.34% or 0.0734
Thank you!
There are 450 students in my high school. 39 students are taking AP
statistics and 86 students are taking AP calculus. 12 students are
taking both AP statistics and AP calculus. If a student were to be
selected at random from the whole school, what is the probability of
the student chosen taking only AP statistics? Give your answer as a
decimal.
The probability that a student will be picked from a AP statistics class is 0.06
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 is certainty
Probability = sample space / total possible outcome
the total possible outcome is 450 students
the number of students that take AP statistics alone = 39- 12= 27students
therefore probability of choosing from AP statistics= 27/450= 0.06
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The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
The statements that will be true about parallelogram ABCD are: A, B, D, and E.
Properties of a Parallelogram -
Diagonals of a parallelogram bisect each other into congruent segments.
Opposite angles and sides of a parallelogram are always congruent.
Alternate interior angles are always congruent in measure.
Thus, the following would be true of parallelogram ABCD:
AP ≅ CP (congruent segment's of a bisected diagonal)
BC ≅ AD (congruent opposite sides)
∠CAD ≅ ∠ACB (congruent angles)
∠BPC ≅ ∠APD (congruent angles)
Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.
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Callie runs 30 minutes a day. She has already run 90 minutes this week. How many days will it take her to run at least 240 minutes?
On January 1, Year 1, Jana started a small flower merchandising business that she named Jana’s Flowers. The company experienced the following events during the first year of operation: Started the business by issuing common stock for $43,000 cash. Paid $28,000 cash to purchase inventory. Sold merchandise that cost $20,000 for $42,000 on account. Collected $37,000 cash from accounts receivable. Paid $9,800 for operating expenses. Required a. Organize ledger accounts under an accounting equation and record the events in the accounts. In the last column of the table, provide appropriate account titles for the Retained Earnings amounts. b-1. Prepare an income statement. b-2. Prepare a balance sheet. b-3. Prepare a statement of cash flows. c. Since Jana sold inventory for $42,000, she will be able to recover more than half of the $43,000 she invested in the stock. Do you agree with this statement?
a) The organization of ledger accounts under an accounting equation and journal entries are as follows:
Accounting Equation:Assets = Liabilities + Equity
Cash + Inventory + A/Receivable C.Stock R/Earnings
1. $43,000 $43,000
2. -28,000 $28,000
3. $42,000 42,000 S/Revenue
4. -20,000 -20,000 COGS
5. 37,000 -37,000
6. -9,800 -9,800 Op Exp.
Bal. $42,200 $8,000 $5,000 $43,000 $12,200
Journal Entries:Debit Cash $43,000
Credit Common Stock $43,000
Debit Inventory $28,000
Credit Cash $28,000
Debit Accounts Receivable $42,000
Credit Sales Revenue $42,000
Debit Cost of goods sold $20,000
Credit Inventory $20,000
Debit Cash $37,000
Credit Accounts Receivable $37,000
Debit Operating expenses $9,800
Credit Cash $9,800
b1)
Jana's Flowers
Income StatementFor the year ended December 31, Year 1
Sales Revenue $42,000
Cost of goods sold $20,000
Gross profit $22,000
Operating expenses $9,800
Net income $12,200
b2) Jana's Flowers
Balance SheetDecember 31, Year 1
Cash $42,200
Accounts Receivable $5,000
Inventory $8,000
Total assets $55,200
Common Stock $43,000
Retained Earnings 12,200
Total equity $55,200
b3) Jana's Flowers
Statement of Cash FlowsFor the year ended December 31, Year 1
Net income $12,200
Changes in working capital:
Accounts Receivable (5,000)
Inventory (8,000)
Operating cash flow ($800)
Financing activities:
Common Stock $43,000
Cash flows $42,200
c) I do not agree with this statement. It does not necessarily flow that Jana selling $42,000 in goods will be able to recover more than half of the $43,000 she invested in her business. So far, she has made $12,200 from her investment.
Data Analysis:Cash $43,000 Common Stock $43,000
Inventory $28,000 cash $28,000
Accounts Receivable $42,000 Sales Revenue $42,000
Cost of goods sold $20,000 Inventory $20,000
Cash $37,000 Accounts Receivable $37,000
Operating expenses $9,800 Cash $9,800
Thus, it will take time for Jana to recover her investment in the business.
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Evaluate 3x^3 +2x^2-2x+6 at x=4
Answer:
It should be 222
Step-by-step explanation:
Answer:
222
Step-by-step explanation:
3x^3+2x^2-2x+6
x=4
=3(4)^3+2(4)^2-2(4)+6
=192+32-8+6
=224-2
=222
Find the dot product of u and v.
u = (−4, 1)
v = (5,-4)
UxV =
Enter the number that belongs in the green box. 4 51° 109°
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 20% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product next month and in 2 months?
(a) next month
(b) in 2 months
(a) 940 people will purchase the product next month.
(b) 952 people will purchase the product in 2 months.
What is the probability?
Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
(a) To find the number of people who will purchase the product next month, we can first calculate the number of people who will not purchase it next month using the given percentage.
Percentage of people who will not purchase the product next month = 30%
Number of people who purchased the product this month = 200
Number of people who will not purchase the product next month = 30% of 200 = 0.3 x 200 = 60
So, out of the 200 people who purchased the product this month, 60 people will not purchase it next month.
Now, to find the number of people who will purchase the product next month, we subtract the number of people who will not purchase it from the total population of 1000.
Total population = 1000
Number of people who will not purchase the product next month = 60
Number of people who will purchase the product next month
= Total population - Number of people who will not purchase it next month
= 1000 - 60
= 940
Hence, 940 people will purchase the product next month.
(b) To find the number of people who will purchase the product in 2 months, we need to account for the 20% of people who do not purchase it in one month but will purchase it the next month.
Number of people who will purchase the product in 2 months = Number of people who will purchase it next month + Number of people who will not purchase it next month but will purchase it in 2 months
Number of people who will not purchase it next month but will purchase it in 2 months = 20% of 60 (people who will not purchase it next month) = 0.2 x 60 = 12
Number of people who will purchase the product in 2 months = 940 (people who will purchase it next month) + 12 (people who will not purchase it next month but will purchase it in 2 months)
= 952
Hence, 952 people will purchase the product in 2 months.
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Winona has two jobs; one pays $10.00 per hour and the other pays $9.25 per hour plus an average of 70% of the hourly pay in tips and bonuses. Each pay
period, 20% of her total pay goes to taxes.
Part 1 of 2
(a) Write and simplify an equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the
number of hours, y, worked at the second.
The total take-home pay from Winona's two jobs can be found using the equation
P=
Part 2 of 2
X
3
(b) If Winona is committed to work 30 hours per week at the first job, how many hours per week would she need to work at the second job if she needs
her biweekly take-home pay to be $800? Round the answer to one decimal place.
In order for her biweekly take-home pay to be $800, Winona needs to work
hours per week at her second job.
Answer:
76.5 hours
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
Part 1 of 2:
(a) The equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the number of hours, y, worked at the second job can be written as:
P = (10x) + (9.25y + 0.7 * 9.25y) - 0.2[(10x) + (9.25y + 0.7 * 9.25y)]
Simplifying the equation:
P = 10x + 9.25y + 0.7 * 9.25y - 0.2(10x + 9.25y + 0.7 * 9.25y)
Part 2 of 2:
(b) If Winona is committed to working 30 hours per week at the first job, let's assume x = 30. We need to find the number of hours per week, y, she would need to work at the second job to reach a biweekly take-home pay of $800.
Using the simplified equation from part (a), we substitute x = 30 and solve for y:
800 = (10 * 30) + (9.25y + 0.7 * 9.25y) - 0.2[(10 * 30) + (9.25y + 0.7 * 9.25y)]
800 = 300 + (9.25y + 0.7 * 9.25y) - 0.2(300 + (9.25y + 0.7 * 9.25y))
Now, we can solve for y:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2(300 + 9.25y + 0.7 * 9.25y)
Simplify the equation:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2 * 300 - 0.2 * 9.25y - 0.2 * 0.7 * 9.25y
Combine like terms:
800 = 300 - 60 + 9.25y - 1.85y - 0.1295y
800 = 240 + 7.32y
Subtract 240 from both sides:
560 = 7.32y
Divide both sides by 7.32:
y ≈ 76.5
Therefore, Winona would need to work approximately 76.5 hours per week at her second job to reach a biweekly take-home pay of $800.
Select the inequality that matches the statement below:
fewer than 12
A. w > 12
B. w ≤ 12
C. w ≥ 12
D. w < 12
Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?
The pairs of triangles can be proven similar through SSS similarity is given by Third pair.
We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.
1. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
2. KL / EG = HL / DG = HK / DE
3/10 ≠ 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
3. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 = 5/10
Thus, SSS similarity follow.
4. All three angles are congruent.
Thus, SSS similarity does not follow.
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i need help with this... please log(x+3)64=3
Answer:
you got this
Step-by-step explanation:
By how much does 5 exceed -4?
(a) 1
(b)-1
(c) 9
(d) -9
Answer:
C
Step-by-step explanation:
-4+9=5
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.
Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
What is a sample and its types?A sample is only a small portion of the population.
Let's imagine you were interested in determining the average income for all Americans in your population.
Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.
Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.
And the gardener decides to conduct an experiment using 28 individual plants.
Plan A will be a biased sampling and the experiment would not yield
desired results.
Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
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Please please please please
Hi! I'd be happy to help you with your question, but I need more information on the topic you'd like me to cover.
Please provide more details about the terms or concepts you'd like me to include in the answer.
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Match to the correct one
Answer:
1. b_ 2. a_ 3. c_ 4. d
Step-by-step explanation:
1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.
Carmen is planning rail lines for a new train station. Help her find m z1. Explain how you found that solution.
In summary, to find m z1, we need to know the relationship between the rail lines and the angles formed by their intersection.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. It is composed of two sides, separated by an equals sign (=), indicating that the two sides are equivalent in value. An equation may contain variables, which are unknown values represented by letters, as well as constants, which are known values. Equations are used in many areas of mathematics and science to model and solve problems. For example, the equation y = mx + b is a linear equation that describes the relationship between the variables x and y in a straight line, where m is the slope of the line and b is the y-intercept. Equations can be solved by manipulating the variables and using mathematical operations to isolate the unknown value.
Here,
In order to help Carmen find m z1, we need some additional information about the rail lines and the angles involved.
Assuming that z1 is an angle formed by the intersection of two rail lines, we can use the following steps to find its measure:
Identify the other angles formed by the two rail lines. If the rail lines are perpendicular, then z1 is a right angle and has a measure of 90 degrees. If the rail lines are not perpendicular, then they form two pairs of opposite angles, each with a measure of x degrees.
Use the fact that the sum of the measures of all angles formed by the intersection of two rail lines is 360 degrees. This means that the sum of the measures of the two pairs of opposite angles is 360 degrees.
Solve for x by setting the sum of the measures of the two pairs of opposite angles equal to 360 degrees and then solving for x. Once you have x, you can find the measure of any of the angles formed by the intersection of the rail lines, including z1.
For example, let's say that the two rail lines form two pairs of opposite angles, each with a measure of x degrees. Then, we have:
2x + 2z1 = 360 (since the sum of the measures of all angles formed by the intersection of two rail lines is 360 degrees)
Simplifying this equation, we get:
2z1 = 360 - 2x
z1 = (360 - 2x)/2
Now we need more information to find x, such as the measure of one of the opposite angles or the relationship between x and another angle in the figure. Once we know x, we can substitute it into the equation for z1 to find its measure.
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Find the resistances of two resistors connected in parallel where one
resistance is three times as large as the other. Total resistance is 12 ohms.
Answer:
I don't remember the name of the law, but it states that when resistors are connected in series they put up one singular resistance. so,
Let smaller resistance be x
greater resistance is 3x
According to the question,
x+3x=12
4x=12
x=3
therefore,
resistors are of 3 ohms and 3×3=9 ohms
This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
needed to completely cover the backyard.
Step-by-step explanation:
that is a tiny, tiny backyard ...
what I see immediately is that the area is a combination of multiple simple figures :
1 square on top,
1 smaller rectangle in the middle,
1 larger rectangle at the bottom.
we only need to calculate the areas of all 3 figures and then add then up for the total.
that's it.
the top square is easy :
it is a 3cm×3cm square, so the area is 9 cm²
the bottom rectangle is also easy :
it is a 10cm×3cm rectangle, so the area is 30 cm²
for the dimensions of the middle rectangle we need to think a little bit :
the width (or "height") is clear : 3 cm.
what is the length ?
the answer is given by some other pieces of information in the diagram. look closely : is the length of the middle rectangle not the same as the sum of the side length of the top square (3 cm) and the top side segment left of the top square : 2 cm ?
yes, it is, so the length is 3+2 = 5 cm.
and the middle rectangle is 5×3 = 15 cm².
so, the total area is
9 + 30 + 15 = 54 cm²
this is a backyard for Barbie and Ken ...
Amount of grass in the backyard is 0.641 square yards
What is a square?
Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.
How to find the area of a square?Area of a square can be found by squaring the length of one of its sides.
What is a rectangle?Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.
How to find out area of a rectangle?Area of a rectangle can be found by multiplying its length by its breadth.
How to calculate the area in the given problem?The given figure is a combination of multiple figures.
1 square of length 3 cm on top1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.We will have to calculate these areas and sum up the areas to get the entire area.Area of the square at the top = ( 3 x 3) cm² = 9 cm²Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²Area of the bottom rectangle = (10 x 3) cm² = 30 cm²∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²
Amount of grass in the backyard = (54 x 0.109² ) square yards
= 0.641 square yards ( 1 cm = 0.109 yards)
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Can someone help me with these three math problems pleaseeeeeeeeeee
Answer:
75 should be the answer
HELP PLEASE 10 POINTS
Answer:
48 feet
Step-by-step explanation:
1 yard equals 3 feet, so you'll just need to multiply 16 x 3.
16 x 3 = 48
Answer:
48 feets
Step-by-step explanation:
1yard=3feets
hope this helps
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.
Matching of the functions domain and range are as follows:
f(x) = 4-4x ;
Domain:{0,1,3,5,6}
Range;{-20,-16,-8,0,4}
f(x) = 5x - 3
Domain:{-2,-1,0,3,4}
Range:{-13,-8,-3,12,4}
f(x) = -10x
Domain:{-4,-2,0,2,4}
Range:{-40,-20,0,20,40}
f(x) = (3/x) + 1.5
Domain:{-3,-2,-1,2,6}
Range:{0.5,0,-1.5,3,2}.
How to find the domain and range of the functions?1) The function f(x) = 4 - 4x
Take Domain:{0,1,3,5,6}
If, we take x=0 and put in the function then we get
f(x)=4-0
f(x)=4
put x=1
f(x) = 4 - 4 =0
put x=3 then we get
f(x)=4-12=--8
put x=5 them we get
f(x)=4-20=-16
put x=6 then we get
f(x)=4-24=-20
Therefore ,range:[-20,-16,-8,0,4}
2) The function f(x)=5x-3
Take domain{-2,-1,0,3,4}
Now, put x=-2 in the function then we get
f(x) = -13
now put x=-1 then we get
f(x)=-5-3=-8
Put x=0 then we get
f(x)=0-3=-3
Put x=3 then we get
f(x)=15-3=12
Put x=4 then we get
f(x)=20-3=17
Therefore , range:{-13,-8,-3,12,17}
3) The function f(x)=-10x
Take domain:{-4,-2,0,2,4}
Put x=-4 in the function then we get
f(x)=40
Put x= -2 then we get
f(x)=20
Put x=0 then we get
f(x)=0
Put x=2 then we get
f(x)=-20
Put x=4 then we get
f(x)=-40
Therefore , range :{-40,-20,0,20,40}
4) The function f(x)= (3/x) + 1.5
Take domain:{-3,-2,-1,2,6}
Put x= -3 in the taken function then we get
f(x)=-1+1.5=0.5
put x=-2 then we get
f(x)= -1.5+1.5=0
Put x=-1 then we get
f(x)=-3+1.5=-1.5
Put x= 2 then we get
f(x)=1.5+1.5=3
Put x= 6 then we get
f(x)=0.5+1.5=2
Therefore, range : {0.5,0,-1.5,3,2}.
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i really need help!!!!!
there are like 5 questions.
Answer:
3
Step-by-step explanation:
The answer is three because u need to simply the fractions
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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