The Demand Function would be as follows:
[tex]Q = 64 - 53p[/tex]
What is Demand Function?This shows the relationship between Price & Quantity, represents Quantity as a function of price.
Revenue is the total receipts from sale, with the formula [tex]= Price[/tex] × [tex]Quantity[/tex]
So,
[tex]Quantity = Revenue / Price[/tex]
Hence, dividing the given revenue equation by P, we get
[tex]Q = (- 53p^2 + 64p )[/tex][tex]/ pQ = - 53p + 64[/tex] {Demand Function}
So, above-mentioned [tex]Q = 64 - 53p[/tex] is the Demand Function.
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Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?
Answer:
1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%
2. Probability of finishing the lecture early = 50% (0.3 + 0.2).
3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)
Step-by-step explanation:
a) Data and Calculations:
Probability Early Ending Expected Probability
Coffee 0.7 0.3 0.21
Tea 0.2 0.2 0.04
Water 0.1
b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water. The combined probability of the three actions is always 1. The expected probability is the weighing of the probabilities with another event, ending the lecture early. This is obtained by multiplying their respective probabilities.
You have budgeted $3,200 per month for your total expenses. The cost of rent per month is $1,300 and the cost of food is $350. To stay within your budget, all other costs C must be no more than what amount (in $)?
Answer:
All other costs must be $1,550 or less
Step-by-step explanation:
1300+350=1650
3200-1650=1550
Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
What exactly are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).So, cost C must be no more than:
The budget is $3200.The cost of rent and food is $1300 and $350.Then, the remaining money will be:
3200 - (1300 + 350)3200 - 1,650$1,550Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
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Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=4 passing through (7,5)
What is the point-slope form of the equation of the line?
?
Answer:
Step-by-step explanation:
y - 5 = 4(x - 7)
y - 5 = 4x - 28
y = 4x - 23
51988 rounded to the nearest ten thousand
Answer:
Your answer would be 52,000
F=kr Solve for k I'm lost please help
Answer:
F /r = k
Step-by-step explanation:
F=kr
Divide each side by r
F/r=kr/r
F /r = k
Please help would be very very appreciated
Answer:
115
Step-by-step explanation:
I hoped I help friend◇
y = 4x - 5.
Graph the math problem
Answer:
so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them
If a2 = 5 and a8 = 35, what is the value of a30?
Answer:
a(30) = 145
Step-by-step explanation:
a(n) = a(1) + (n-1)d
d = 5
a(30) = 0 + (30-1)5
a(30) = 0 + (29)5
a(30) = 0 + 145
a(30) = 145
Using the concept of arithmetic sequence, the value of a30, which is the 30th term of the sequence is 145
The common difference, d = 35 / 7 = 5
The nth term of an arithmetic sequence is obtained using the relation :
A(n) = a1 + (n - 1)da1 = first terma1 = a2 - d = 5 - 5 = 0
Hence,
A(30) = 0 + (30 - 1)5
A(30) = 0 + 29(5)
A(30) = 145
Therefore, the value of the 30th term of the sequence is 145.
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The perimeter of a rhombus is 40 cm and the length of one of its diagonals is 12 cm then the length of the other diagonal is
Answer:
16 cms.
Step-by-step explanation:
The length of each side = 40 / 4 = 10 cm (as the 4 sides of a rhombus are congruent).
If we draw the other diagonal we form 4 right angled triangles (another property of the rhombus - diagonals bisect each other at tight angles. ).
The side of the rhombus is the hypotenuse of the right triangle.
So if we consider one triangle:
10^2 = 6^2 + x^2 where x is half the length of the other diagonal.
x^2 = 10^2 - 6^2
x^2 = 100 - 36 = 64
x = 8 cm.
So the diagonal is 16 cms long.
What is the value of the correlation coefficient r of the data set?
You might have already done this now, but the answer is
0.84
I just finished the Quiz :)
On the map, the school and the sports park are 12 centimeters apart.
What is the actual distance between the school and the park?
Answer:
15 kmStep-by-step explanation:
On the map, the school and the sports park are 12 centimeters apart.
scale 4cm : 5km
find;
What is the actual distance between the school and the park?
solution:
12 cm = 4 cm
X km 5 km
cross multiply:
4 cm X km = 12 cm (5 km)
X = 12 cm (5 km)
4 cm
X = 15 km
therefore, the distance between the school and the sports park is 15 km
Your friend says the solution to the inequality 6X -12X is greater than or equal to -18 are x greater than or equal to 3. Solve the inequality correctly. What air did your friend make?
Wich is equivalent to 12(3 2/3)!?
Answer:
1/5 = 2/10 = 3/15 = 4/20
= 5/25 = 6/30 = 7/35 = 8/40
= 9/45 = 10/50 = 11/55 = 12/60
= 13/65 = 14/70 = 15/75 = 16/80
= 17/85 = 18/90 = 19/95 = 20/100
= 21/105 = 22/110 = 23/115 = 24/120
= 25/125 = 26/130 = 27/135 = 28/140
= 29/145 = 30/150 = 31/155 = 32/160
= 33/165 = 34/170 = 35/175 = 36/180
= 37/185 = 38/190 = 39/195 = 40/200
= 41/205 = 42/210 = 43/215 = 44/220
= 45/225 = 46/230 = 47/235 = 48/240
= 49/245 = 50/250 = 51/255 = 52/260
= 53/265 = 54/270 = 55/275 = 56/280
= 57/285 = 58/290 = 59/295 = 60/300
= 61/305 = 62/310 = 63/315 = 64/320
= 65/325 = 66/330 = 67/335 = 68/340
= 69/345 = 70/350 = 71/355 = 72/360
= 73/365 = 74/370 = 75/375 = 76/380
= 77/385 = 78/390 = 79/395 = 80/400
= 81/405 = 82/410 = 83/415 = 84/420
= 85/425 = 86/430 = 87/435 = 88/440
= 89/445 = 90/450 = 91/455 = 92/460
= 93/465 = 94/470 = 95/475 = 96/480
= 97/485 = 98/490 = 99/495 = 100/500
Step-by-step explanation:
all of these are equivalent
Answer: 36/11 Or 3 3/11
Step-by-step explanation:
357,335 rounded to the nearest ten357,335 rounded to the nearest ten
Answer:
357,340
Step-by-step explanation:
Locate the tens place:
357,335
Check the number to the right:
357,335
If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.
The number next to the tens place is a '5'. We round up.
357,335 ≈ 357,340
Hope this helps.
Answer:
357340
Step-by-step explanation:
Find the difference of -4 -(5)
4. How did railroads change where people lived?
The railroads changed people life
Answer:
It made commerce possible on a vast scale. In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast.
Step-by-step explanation:
Answer:
There are multiple reasons, it made it easier to get new places to live instead of in a wagon or by foot. (in case there is more to the question) helped people and stuff needing to be transported get there quicker and easier. Building the railroads gave people jobs who need it to take care of them and there family.
Step-by-step explanation:
The telephone company offers two billing plans for local calls. Plan 1 charges $32 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Step-by-step explanation:
Answer in image below press on it
Which y values are represented on the graph below?
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
How can right triangles be similar based on their angles?
Answer:
a right triangle has at lease on 90 degree angle
Step-by-step explanation:
Answer:
By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.
Step-by-step explanation:
i got 100% on edg. hope this helps!
Clear selection
2 points
3. Stephanie can run one lap around a track in 5 minutes. Lisa can run one
lap in 6 minutes. If they start running at the same time, how long will it be
until they complete a lap together?
11
30
12
6
Answer: If they start running at the same time, then it will take 30 minutes until they complete a lap together.
Step-by-step explanation:
Given: Stephanie can run one lap around a track in 5 minutes. Lisa can run one lap in 6 minutes.
If they start running at the same time, then the time they will take to complete a lap together = LCM (5,6)
prime factorization: 5=5 , 6 =2 x 3
So, LCM(5,6) = 5 x 2 x 3 = 30
Hence, it will take 30 minutes until they complete a lap together.
Which equation show the relationship in the table?
Answer:
hours = 5 x dollars
Step-by-step explanation:
Because, for every hour you earn 5 dollars.
A box is 21 centimeters tall. How tall would the box measure in meters?
Answer:
0.21
Step-by-step explanation:
divide the length value by 100 21 centimeters in meters is 0.21
Answer:
0.21 its the k12 test.
Step-by-step explanation:
Help ASAP pllllllllllsssssssssssssssssss
Answer:
15
Step-by-step explanation:
multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15
Joey wants to collect 20 coins from foreign countries. If he has 3 coins so far, what percent of his collection is complete?
Answer:
17%
Step-by-step explanation:
I think you maybe have to subtract
Answer:
15%
hope this helps!
sin3A/sinA-Cos3A/CosA=2
Answer:
sin3A/sinA-Cos3A/CosA=2
taking LCM
= Sin3A.CosA - Cos3A. SinA
SinA . CosA
= Sin(3A-A)
SinA . CosA
= Sin2A
SinA . CosA
= 2 SinA. CosA
SinA . CosA
=2
Step-by-step explanation:
Choose whether the sum is positive, negative,
or zero.
-3 + 3 is
The answer is zero
-n+n=0 Always
solve for x 4 - (x + 2) < -3(x + 4)
in 4 - (x + 2) < -3(x + 4), x < -7
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x<-7
Step-by-step explanation:
Use inverse operations to solve
4 - ( x + 2 ) < -3 ( x+ 4)
first distribute the (-) sign and the (-3)
4 -x -2 < -3x -12
simplify
2 -x < -3x -12
simplify again, with inverse operations
2 -x < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
/2 /2
x<-7
Write each number as a product of primes 1. 120 2. 160
Answer:
120=2*2*2*3*5
160=2*2*2*2*2*5
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
1. 120 = 12 * 10
= 2*2*3*2*5
= 2*2*2*3*5
2. 160 = 10 * 16
= 2*5*2*2*2*2
= 2*2*2*2*2*5
How would you write odds in favor?
Answer: Odds in favor = Number of successes: Number of failures
Step-by-step explanation:
Example
A jewelry box contains 5 white pearl, 2 gold rings and 6 silver rings. What are the odds of drawing a white pearl from the jewelry box?
Number of successes = 5
Number of failures = 2 + 6 = 8
Numbers of ways to draw a white pearl: number of ways to draw another jewelry.
5:8
The odds are 5:8
Janelle earned $253.75 for 5 days of work. how do I find her unit rate of pay?
Answer:
50.75
Step-by-step explanation:
253.75/5