Answer:
see below
Step-by-step explanation:
Package A
2n + 3m = 280
Package B
2n + 5m = 320
Using elimination to eliminate n since the coefficient is the same
Subtracting the A equation from the B equation
2n + 5m = 320
-2n - 3m = -280
------------------------
2m = 40
Divide by 2
2m/2 = 40/2
m = 20
Now finding n
2n+3m = 280
2n +3(20) = 280
2n+60 = 280
Subtract 60 from each side
2n +60-60= 280-60
2n = 220
Divide by 2
2n/2 = 220/2
n = 110
The cost per night is 110 and the cost per meal is 20
Duran Manufacturing uses a process costing system and manufactures its product in three departments. Which of the following is NOT a way in which Duran can use the cost per unit of each process? A) Duran can look for ways to cut the costs when actual process costs are more than planned process costs. B) Duran needs to set the selling price to cover the costs of making the product and provide a profit. C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period. D) Duran needs to know the ending balances in the following accounts: Work-In-Process Inventory, Finished Goods Inventory, and Cost of Goods Sold.
Answer:
C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period.
Step-by-step explanation:
Duran uses cost accounting technique to identify cost per unit for its products. The costing techniques allows us to identify the cost of unit that are not completely finished. It is not necessary that all unit must be completed in order to find out the cost per unit of the product. The process costing is the best method to identify cost per unit for products that are in process.
20% of city employees ride the bus to work. This is up 10% from last year. What percent of employees rode the bus to work last year?
Answer:
18.18% of employees rode the bus to work last year
Step-by-step explanation:
This question can be solved using a rule of three.
Last year, a proportion of x employees riding the bus was 100% = 1.
This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.
So
0.2 - 1.1
x - 1
[tex]1.1x = 0.2[/tex]
[tex]x = \frac{0.2}{1.1}[/tex]
[tex]x = 0.1818[/tex]
0.1818*100 = 18.18%
18.18% of employees rode the bus to work last year
Given that (0,0) is on the graph of f(x), find the
corresponding point for the function
f(x) – 5.
Answer:
(0, -5)
Step-by-step explanation:
You have (x, f(x)) = (0, 0) and you want (x, f(x) -5).
That would be ...
(x, f(x) -5) = (0, 0 -5) = (0, -5)
when should homeowners ask their lenders for mortgage modification
Homeowners may consider asking their lenders for mortgage modification in the following situations listed below:
When should homeowners ask their lenders for mortgage modification?1. Financial hardship: If a homeowner is facing financial hardship as a result of a large decrease in income, unanticipated medical expenditures, or other unforeseen events
2. Changes in interest rates: If interest rates have fallen significantly after the homeowner obtained their mortgage, they may be able to negotiate a lower interest rate through mortgage modification.
3. Default: If a homeowner has fallen behind on their mortgage payments and is facing foreclosure, mortgage modification may be an option for bringing the loan up to date and avoiding foreclosure.
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Answer:
When they know they can't afford it & before the next payment
Step-by-step explanation:
Simple linear equations
Check Whether the value given in the brackets is the root of the given equation or not (nessessary steps is needed)
a) 4x = -4 [x=-1]
b) 2(x-3) =-12 [x=3]
c) 8x - 4x = 24 [x = 1/2]
d) 9x - 4x = 24 [x=18]
Answer: Evaluate the Function, right?
Hello!
~~~~~~~~~~~~~~~~~~
A) 4x = -4 [x=-1] =
4x = -4 =
x = -1 = x = -1
( The steps : Substitute the given value into the function and evaluate.)
B) 2(x-3) =-12 [x=3] =
2 ( x - 3) = -12 = x = -3
x = 3 = x = 3
( The steps : Substitute the given value into the function and evaluate.)
C) 8x - 4x = 24 [x = 1/2] =
8x - 4x = 24 = x = 6
x = 1/2 = x = 1/2
( The steps : Substitute the given value into the function and evaluate.)
D) 9x - 4x = 24 [x=18] =
9x - 4x = 24 = x = 24/5
x = 18 = x = 18
( The steps : Substitute the given value into the function and evaluate.)
~~~~~~~~~~~~~~~~~~
Step-by-step explanation: All the steps are the same. Substitute the given value into the function and evaluate.
Hope this helped you!
How do you write 26,300 in scientific notation? ____× 10^____
Answer:
It's written as
[tex]2.63 \times {10}^{4} [/tex]
Hope this helps you
Answer:
2.63 * 10 ^4
Step-by-step explanation:
26,300
We want one digit to the left of the decimal
Move the decimal 4 places to the left
4 is the exponent. Since we moved the decimal to the left, the exponent is positive
2.63 * 10 ^4
The mean monthly car payment for 123 residents of the local apartment complex is $624. What is the best point estimate for the mean monthly car payment for all residents of the local apartment complex?
Answer:
The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
We apply the inverse Central Limit Theorem.
The mean monthy car payment for 123 residents of the local apartment complex is $624.
So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.
While the Pareto distributions are continuous, they tend to be used to model discrete data in humanities and actuarial sciences. Moreover, with its roots in power functions, Pareto distributions may be used in the growing popularity of the studies of networks. The probability density function (PDF) for a Pareto distribution is
Answer:
Step-by-step explanation:
While the pareto distributions are continuous in nature, they are sometimes used to model discrete data in fields such as Social Sciences, Humanities, Geophysics, and Actuarial Sciences.
The Pareto Distribution is a power-law probability distribution used in studies of observable phenomena.
The probability density function (PDF) for a Pareto Distribution is:
Xn = 1
for various Alpha levels
Where Xn is the probability value of X
As Alpha tends to infinity, the pareto distribution tends to ¶ [X-Xn]
Where ¶ is the Dirac Delta function.
How to solve the exponential equation for 3^k2 • 3^-k+2 = 81
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
- 2 - 2
k = 2
10 + 6 ÷ 2 =
2(5) - 7 =
36 - (4 +8) ÷ 4 =
(2 x 5) -4 =
Complete the square to rewrite y = x2 - 6x + 16 in vertex form. Then state
whether the vertex is a maximum or minimum and give its coordinates.
Answer:
y = x² + 6x + 16
= (x² + 6x + 9) - 9 + 16
= (x + 3)² + 7 ← vertex form
Therefore, vertex is (-3, 7) and since the coefficient of (x + 3)² is positive the vertex is a minimum.
Answer:
minimum (3,7)
Step-by-step explanation:
Find the midpoint of the line segment joining the points (-5, 2) and (3. -8).
Hey there! :)
Answer:
(-1, -3)
Step-by-step explanation:
Use the midpoint formula to derive the coordinates of the midpoint:
[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+ y_{2} }{2} )[/tex]
Plug in the coordinates given:
[tex](\frac{-5+3 }{2}, \frac{2-8 }{2} )[/tex]
Simplify:
[tex](\frac{-2 }{2}, \frac{-6 }{2} )[/tex]
(-1, -3) are the coordinates of the midpoint.
Answer:
[tex]\boxed{Midpoint = (-1,-3)}[/tex]
Step-by-step explanation:
The coordinates are (-5,2) and (3,-8)
M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
M(x,y) = [tex](\frac{-5+3}{2} , \frac{2-8}{2} )[/tex]
M(x,y) = [tex](\frac{-2}{2} , \frac{-6}{2} )[/tex]
M(x,y) = (-1,-3)
Please help me.What type of polygon would a peice of an icosahedron at a vertex create? Explain why.
Answer:
Regular Pentagon
Step-by-step explanation:
A regular icosahedron is a twenty-faced polyhedron, each face being an equiangular triangle. Each vertex is joined together by 5 faces, therefore the polygon formed at each vertex is a regular pentagon.
We can also figure out the number of faces at each vertex using Euler's formula
F+V=E+2
F=number of faces = 20
E=number of edges = number of triangular faces * edges/triangle /2
(since each edge is shared between two faces)
= 20*3/2
=30
Number of vertices
= E+2-F = 30+2-20 = 12
So number of edges meeting at each vertex
= 30 / (12/2) = 30/6 = 5
(12/2 because each edge joins two vertices).
See attached figure, courtesy of Wikipedia.
show that 7 1/2 - 4 2/3 = 2 5/6
Equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex]
We need to check whether the left hand side is equal to right hand side.
These are in the form pf mixed fraction we can convert them to the improper fraction.
[tex]7\frac{1}{2}=15/2[/tex]
[tex]4\frac{2}{3}=\frac{14}{3}[/tex]
So Let us subtract 24/3 from 15/2
15/2-14/3
LCM of 2 and 3 is 6
45-28/6
17/6
This can be written as mixed fraction [tex]2\frac{5}{6}[/tex]
Hence, equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
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Using the diagram below, find how high the plane is flying.
58°
50 yd
30.15 yd
30.25 yd
31.25 yd
32.45 yd
Answer:
31.24 yd
Step-by-step explanation:
In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 tests that are worth 100 points each. A student has received homework scores of 7, 8, 7, 5, and 8 and the first two test scores are 81 and 80. Assuming that grades are assigned according to the standard scale, where if the grade percentage is 0.9 or higher the student will get an A, and if the grade percentage is between 0.8 and 0.9 the student will get a B, and there are no weights assigned to any of the grades, is it possible for the student to receive an A in the class? What is the minimum score on the third test that will give an A? What about a B?
Answer:
hey mate how r u I am good I am new to this app
If (a+1) and (a-1)= 35 what is a?? Helpppppppppp
Answer:
There is no real number that can satisfy this equation
Step-by-step explanation:
a+1=35 and a-1=35 ⇒ a+1=a-1⇒ a-a = -1-1⇒ 0= -2 That's absurd so a has no real solutionPeter is buying office supplies. He is able to buy 3 packages of paper and 4 staplers for $40, or he is able to buy 5 packages of paper and 6 staplers for $62. How much does a package of paper cost? How much does a stapler cost?
Answer:
paper = $4 and stapler = $7
Step-by-step explanation:
let p represent paper and s represent stapler, then
3p + 4s = 40 → (1)
5p + 6s = 62 → (2)
Multiplying (1) by 5 and (2) by - 3 and adding will eliminate p
15p + 20s = 200 → (3)
- 15p - 18s = - 186 → (4)
Add (3) and (4) term by term to eliminate p
2s = 14 ( divide both sides by 2 )
s = 7
Substitute s = 7 into either of the 2 equations and evaluate for p
Substituting into (1)
3p + 4(7) = 40
3p + 28 = 40 ( subtract 28 from both sides )
3p = 12 ( divide both sides by 3 )
p = 4
Thus package of paper costs $4 and stapler costs $7
An election ballot asks voters to select six city commissioners from a group of 24 candidates in how many ways can this be done? Six city commissioners can be selected from a group of 24 candidates in blank different ways
Answer:
134,596 diffrent ways.
Step-by-step explanation:
Combination has to do with selection. When n object is to be selected from n objects, this can be achieved using the combination formula as shown; \
nCr = n!/(n-r)!r!
If an election ballot asks voters to select six city commissioners from a group of 24 candidates, then the selection can be done in 24C6 different ways.
Applying the formula above:
24C6 = 24!/(24-6)!6!
24C6 = 24!/18!6!
24C6 = 24*23*22*21*20*19*18!/18!*6*5*4*3*2
24C6 = 24*23*22*21*20*19/24*30
24C6 = 23*22*21*20*19/30
24C6 = 134,596 different ways.
Hence, Six city commissioners can be selected from a group of 24 candidates in 134,596 different ways
5. Look at the diagram below. Indicate whether the angles below are
adjacent or vertical.
a <1 and <2
b. <3 and <4
C. <2 and <4
d. <1 and <3
Answer:
a. adjacent
b. adjacent
c. vertical
d. vertical
Step-by-step explanation:
Adjacent angles share a side; vertical angles do not. Vertical angles share a vertex and have sides that are opposite rays.
In the diagram, adjacent angles are sequentially numbered, so numbers that differ by 1 (or 3) are adjacent angles.
Vertical angles are not adjacent, so will have angle numbers that differ by 2.
adjacent: (a) and (b) . . . angles 1&2, 3&4
vertical: (c) and (d) . . . angles 2&4, 1&3
In a Classroom, 1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirt other than blue shirts or white shirts?
Answer:
2
Step-by-step explanation:
firstly...you have to find the number of students wearing blue and white shirt and subtract from the total number of students to get the number if students that neither wears blue or white shirt as follows :
no wearing blue = 1/6 × 12 = 2
no.wearing white = 2/3 × 12 = 8
total number wearing blue and white = 8+2 =10
number of students not putting on either of the two colours include...= 12-10 = 2
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MARK BRAINLIEST will be appreciated please...thanks in advance
Which of the following best describes T in the general formula for an exponential function, which is shown below?
O A. Time
O B. Initial amount
O c. Growth rate
O D. Growth factor
Answer:
A. Time
Step-by-step explanation:
The general formula for an exponential function is shown below:
[tex]F(t) = Ao.b^{kt}[/tex]
where,
Ao = Initial amount
b = growth factor i.e come (1 + r)
r = growth rate
k = Constant
T = Time
Therefore the T describes the time
Hence, the first option is correct
To determine any of the above variable we simply used the above formula so the chances of thh correct answer could be high
The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies: Number of Cars Arriving in a 10-Minute Interval Frequency 0 3 1 10 2 15 3 23 4 30 5 24 6 20 7 13 8 8 9 or more 4 150 Calculate mean and use Poisson probabilities. The expected frequency of exactly 3 cars arriving in a 10-minute interval is a. .1533. b. 26.145. c. .1743. d. 23.
Answer: c. 0.1743
Step-by-step explanation: Poisson Probability or Poisson Distribution is a discrete distribution that models the number of events ocurring in a given period of time.
The mean, or expected value, of the observed frequencies is:
E(X) = ∑xP(x)
E(X) = 0*3/150 + 1*(10/150) + 2*(15/150) + 3*(23/150) + 4*(30/150) + 5*(24/150) + 6*(20/150) + 7*(13/150) + 8*(8/150) + 9*(4/150)
E(X) = 4.399
The Poisson distribution is calculated by:
P(X = k) = [tex]\frac{mean^{k}.e^{-mean}}{k!}[/tex]
The question asks for the expected frequency of exactly 3 cars:
P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3!}[/tex]
P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3.2.1}[/tex]
P(X = 3) = 0.1743
The expected frequency of exactly 3 cars is 0.1743
f(X)=3x-12 what is f(2)
Answer:
The answer is - 6Step-by-step explanation:
f(X)=3x-12
To find f(2) substitute the value in the bracket which is 2 into f(x)
That's
f(2) = 3(2) - 12
= 6 - 12
= - 6
Hope this helps you
Answer:
-6
Step-by-step explanation:
Help please!!
What quadrant does the terminal side of this angle lie in?
Answer:
QIII
Step-by-step explanation:
1. A circus elephant is being led up a 12-foot-long ramp to a trailer that is 4 feet above
the ground.
4ft
12 ft
Which equation could be used to find the angle between the ramp and the ground?
Which expression has a negative value? 2 + 12 (negative 3) (negative 8) 10 minus (negative 18) Negative 35 divided by 5 Mark
Answer: 35 ÷5 is the negative value
Answer: D
Step-by-step explanation:
The area of a gymnasium floor is 264 square yards. the floor is 11 yards wide. How long is the floor?
Answer:
24 yards long
Step-by-step explanation:
if A=l*w then it's 264=l*11
if you divide 264 (area) by 11 (width) then the answer is 24 which is the length
Use ￢, →, ∧ and ∨ to express the following declarative sentences in propositional logic; in each case state what your respective propositional atoms p, q, etc. a) If interest rates go up, share prices go down. b) If Smith has installed central heating, then he has sold his car or he has not paid his mortgage. c) Today it will rain or shine, but not both. d) If Sam met Jane yesterday, they had a cup of coffee together, or they took a walk in the park. e) My sister wants a black and white cat.
Answer:
a) If interest rates go up, share prices go down : this will be assigned p→q
b) If Smith has installed central heating, then he has sold his car or he has not paid his mortgage. P → (q∨￢r)
c) Today it will rain or shine, but not both:(p∨q) ∨ ￢(p∧q)
d) If Sam met Jane yesterday, they had a cup of coffee together, or they took a walk in the park. P → (q∨r)
e) My sister wants a black and white cat. p∧q
Step-by-step explanation:
A statement is said to be propositionally logical if the statement that can be assigned either true or false.
∧and
∨or
¬not
→implies
a) If interest rates go up, share prices go down : this will be assigned p→q implies because the occurrence of event (share prices go down) depends on the possibility of the other event happening.
b) If Smith has installed central heating, then he has sold his car or he has not paid his mortgage. P → (q∨￢r) : either of the two of the other events (i.e. he has sold his car or he has not paid his mortgage ) can only occur if the first event occur
c) Today it will rain or shine, but not both:(p∨q) ∨ ￢(p∧q) : either of the events can occur but not both i.e. they are mutually exclusive
d) If Sam met Jane yesterday, they had a cup of coffee together, or they took a walk in the park. P → (q∨r) either of the two of the other events (i.e. they had a cup of coffee together or they took a walk in the park ) can only occur if the first event (Sam met Jane yesterday) occur
e) My sister wants a black and white cat. p∧q : both events can only occur together
10. The population of India is 1.353 billion, and expected to grow at the rate of one percent
annually for the forseeable future. Assuming population continues to grow at the same percent
rate, how long until the population reaches 2 billion people? Give your answer to the nearest
year. (4 minutes)
Answer:
39 years
Step-by-step explanation:
Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.
Solve this for n:
2 billion = (1.353 billion)(1 + 0.01)^n
After simplification, we have:
2
--------- = 1.01^n
1.353
Taking the log of both sides, we get:
log 2 - log 1.353 = n log 1.01, or
log 2 - log 1.353 0.1697
------------------------ = -------------- = 39 years (rounded off from 39.28)
log 1.01 0.0043