Answer:
1. 13x/760-13x
2. X = 29.23
3. X> 29.23
4. X<29.23
5. Max price = 29.23c
Step-by-step explanation:
1. D(x) = 760-13x
To get Elasticity, we differentiate the equation
D'x = -13
Elasticity is expressed as:
E(x) = -x*D'(x)/760-13x
= X(-13)/760-13x
[tex]\frac{-13x}{760-13x}[/tex]
B. Price elasticity with demand = 1
13x/760-13x = 1
We cross multiply
13x = 1(760-13x)
13x = 760-13x
Collect like terms
26x = 760
X = 29.23
C. When elasticity of demand is elastic
13x/760-13x > 1
We cross multiply
13x > 1(760-13x)
13x > 760-13x
Collect like terms
26x > 760
X > 29.23
C. Greater than 29.23
D. When inelastic
This follows same solution as 2 and 3 but the sign is different.
E(x) <1
13x/760-13x < 1
We cross multiply
13x < 1(760-13x)
13x < 760-13x
Collect like terms
26x < 760
X < 29.23
B. less than 29.23
E. We get total revenue
X(760-13X)
= 760x - 13x²
We differentiate this
760-26x = 0
760 = 26x
X = 29.23
revenue is a maximum at price is 29.23c
f. The last question is incomplete
help find the area I’ll give Brainly
Ok let's do this.
First we will cut of the triangle that is marked with red dotted line and pop it on the other side. Then you get a rectangle!! All you have to do now is multiply 21.5*20=410. HAPPY TO HELP!
Answer:
430
Step-by-step explanation:
Area = (base)(height)
A = (20)(21.5)
(20)(21.5) = 430
A = 430
Megan bought two baseball gloves
and one baseball bat. She paid for 40%
with her birthday money and her uncle
paid the remaining amount. How much
did Megan pay and how much did her
uncle pay?
well if she payed 40% and an average baseball glove costs $120 – $300
and a bat costs $75-$185. that would mean she spent around $197 or $485
which would mean
40% out of 197 is 78.8
and 291
i believe is the correct answer
What’s 123988+81937297+81937192827-29283729?
Answer:
81989970383
Step-by-step explanation:
la probabilidad de que un caballo viva 20 años es dos tercios y la de una vaca viva 20 años es decir 3 puntos Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años
Answer:
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.
Step-by-step explanation:
Probabilidades Independientes:
Quanto las probabilidades de dos eventos son independientes, la probabilidad de los dos ocurrir simultáneamente es la multiplicacion de las dos probabilidades.
La probabilidad de que un caballo viva 20 años es dos tercios
Entonces [tex]P(C) = \frac{2}{3}[/tex]
La de una vaca viva 20 años es
Incomplete, entonces dire que es [tex]P(V) = \frac{a}{b}[/tex]
Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años
[tex]P(C \cap V) = P(C) \times P(V) = \frac{2}{3}*\frac{a}{b} = \frac{2a}{3b}[/tex]
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
Sean [tex]A[/tex] y [tex]B[/tex] dos eventos independientes aunque no mutuamente excluyentes, es decir, que la esperanza de vida del caballo ([tex]A[/tex]) no dependa de la esperanza de vida de la vaca ([tex]B[/tex]) y viceversa y que pueden ocurrir al mismo tiempo.
En este caso, la probabilidad de que tanto el caballo como la vaca vivan 20 años equivale a una operación de intersección que se manifiesta en la siguiente ecuación:
[tex]P(A \cap B) = P(A)\cdot P(B)[/tex] (1)
Si sabemos que [tex]P(A) = \frac{2}{3}[/tex] y [tex]P(B) = \frac{3}{5}[/tex], entonces la probabilidad de que tanto caballo como la vaca vivan 20 años es:
[tex]P(A\cap B) = \frac{2}{3}\times \frac{3}{5}[/tex]
[tex]P(A\cap B) = \frac{2}{5}[/tex]
La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
Invitamos cordialmente a ver esta pregunta sobre probablidades: https://brainly.com/question/24290732
Nota - El enunciado original presenta omisiones y errores tipográficos, la forma completa se presenta a continuación:
La probabilidad de que un caballo viva 20 años es de dos tercios y la de que una vaca viva 20 años es de tres quintos. ¿Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años?
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.78.
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85. (Round your answers to two decimal places.)
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46? (Round your answer up to the nearest whole number.)
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence? (Round your answer up to the nearest whole number.)
Answer:
a) The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
b) The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
c) A sample size of 12 is needed.
d) A sample size of 125 is needed.
Step-by-step explanation:
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.78}{\sqrt{15}} = 0.39[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.39 = 4.46
The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.39 = 5.24
The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{0.78}{\sqrt{11}} = 0.55[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.56 - 0.55 = 4.01
The upper end of the interval is the sample mean added to M. So it is 4.56 + 0.55 = 5.11
The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46?
95% CI means that [tex]z = 1.96[/tex]
A sample of n is needed, and n is found when M = 0.46. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.46 = 1.96\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.46\sqrt{n} = 1.96*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.78}{0.46})^2[/tex]
[tex]n = 11.05[/tex]
Rounding up
A sample size of 12 is needed.
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence?
99% CI means that [tex]z = 2.575[/tex]
A sample of n is needed, and n is found when M = 0.18. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.18 = 2.575\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.18\sqrt{n} = 2.575*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.78}{0.18})^2[/tex]
[tex]n = 124.5[/tex]
Rounding up
A sample size of 125 is needed.
Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5).
GRAPH AFTERWARDS/TELL ME POINTS TO PUT ON GRAPH I BEG YOU
Answer:
a=3; (3,5) and (4,0) for the graph
Step-by-step explanation:
ax-y=4
x=3, y=5 so...
a(3)-5=4
3a-5=4
+5 +5
3a=9
/3 . /3
a=3
For the graph, use (3,5) and substitute x and y for anything:
ax-y=4
if x=0...
a(0)-y=4
-y=4
y=4
a=3; (3,5) and (4,0) for the graph!
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
Answer:
11 maybe
Step-by-step explanation:
cant recheck the test
A train leaves the station at time t=0. Traveling at a constant speed, the train travels 420 kilometers in 3 hours. Answer parts a and b.
Answer:
a) distance = (rate) x (time) or do they want rate = distance / time
Step-by-step explanation:
the rate is 420 km / 3 hr = 140 km/hr
Use the following number line to determine if the expressions are true or false.
0
True False
akb
Valo O
(al <10 D
Answer:
true
Step-by-step explanation:
What is the relationship between angles 1, 2, and 6?
A. they are vertical
B. they are supplementary
C. they are complementary
Answer:
B) they are supplementary
(supplementary angles add up to a80 degrees)
Step-by-step explanation:
A probability experiment is conducted in which the sample space of the experiment is S={7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}. Let event E={9, 10, 11, 12, 13, 14, 15, 16}, event F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}. Assume that each outcome is equally likely. List the outcome s in For G. Now find P( For G) by counting the numb er of outcomes in For G. Determine P (For G ) using the General Addition Rule.
Answer:
[tex]F\ or\ G= \{5,6,7,8,9,10,11,12\}[/tex]
[tex]P(F\ or\ G) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]S= \{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18\}[/tex]
[tex]E=\{9, 10, 11, 12, 13, 14, 15, 16\}[/tex]
[tex]F=\{5, 6, 7, 8, 9\}[/tex]
[tex]G=\{9, 10, 11, 12\}[/tex]
[tex]H=\{2, 3, 4\}.[/tex]
Solving (a): Outcomes of F or G
F or G is the list of items in F, G or F and G.
So:
[tex]F=\{5, 6, 7, 8, 9\}[/tex]
[tex]G=\{9, 10, 11, 12\}[/tex]
[tex]F\ or\ G= \{5,6,7,8,9,10,11,12\}[/tex]
Solving (b): P(F or G)
The general addition rule is:
[tex]P(F\ or\ G) = P(F) + P(G) - P(F\ and\ G)[/tex]
Where:
[tex]P(F) = \frac{n(F)}{n(S)} = \frac{5}{12}[/tex]
[tex]P(G) = \frac{n(G)}{n(S)} = \frac{4}{12}[/tex]
[tex]P(F\ and\ G) = \frac{n(F\ and\ G)}{n(S)}[/tex]
[tex]F\ and\ G = \{9\}[/tex]
So:
[tex]P(F\ and\ G) = \frac{1}{12}[/tex]
[tex]P(F\ or\ G) = P(F) + P(G) - P(F\ and\ G)[/tex]
[tex]P(F\ or\ G) = \frac{5}{12} + \frac{4}{12} - \frac{1}{12}[/tex]
[tex]P(F\ or\ G) = \frac{5+4-1}{12}[/tex]
[tex]P(F\ or\ G) = \frac{8}{12}[/tex]
[tex]P(F\ or\ G) = \frac{2}{3}[/tex]
what is a rational and irrational number?
Answer:
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.
In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Step-by-step explanation:
hope it helps :)))
If ST = 17 and RT = 61, find RS.
what is it??
Answer:
24
Step-by-step explanation:
The graph of which function has a y-intercept of 3? On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (1, 4), has a vertex at (3, 0), and goes through (5, 4). On a coordinate plane, a parabola opens up. It goes through (negative 5, 4), has a vertex at (negative 3, 0), and goes through (negative 1, 4). On a coordinate plane, a parabola opens up. It goes through (negative 4, 5), has a vertex at (negative 1, negative 4), and goes through (2, 5).
Answer:
It is A
Step-by-step explanation:
The guy below is wrong because I got a 100 on the quiz on Edge.
On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3).
Which function has a y-intercept of 3?First, for a function f(x), the y-intercept is the value that takes f when we evaluate in x = 0.
Then we must have:
f(0) = 4, so, the function must pass through the point (0, 3).
From the given options, the only one that passes trough that point is the first one:
"On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3)."
If you want to learn more about y-intercepts:
https://brainly.com/question/1884491
#SPJ2
In the standard (x, y) coordinate plane, at what
point(s) will the graphs of f(x) = x and
8(x) = x? intersect?
I think that it is a dont listen to me tho I'm just guessing
Brainliest will be given ASAP question below!
Answer:
3/32
Step-by-step explanation:
9/16 × 3/4=27/144=3/16×1/2=3/32
Helppppp meeeee!!!!!!!!!!!
Answer and Step-by-step explanation:
When it says (f + g)(x), it means that it wants you to add the functions together.
So, let's add them.
[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)
#teamtrees #PAW (Plant And Water)
find the area of the figure 27 1/2 yd and 17 1/5 yd
if the figure is a rectangle the answer is 473
Answer:
473
Step-by-step explanation:
First you need to make the fractions mixed numbers
27 1/2= 55/2
17 1/5= 86/5
Then you multiply across
55/2*86/5= 4730/10
then you divide 4730 by 10 to make it an improper fraction.
(because the denominator is 10 just take the 0 out of the end of 4630, this trick only works if the last number in the numerator is 0.)
And your anwser should be 473
I hope this helps!!!!!
An airplane’s altitude changes −378 feet over 7 minutes. The airplane's current altitude is 2,700 feet.
Determine the number of minutes required for the plane to reach the ground.
Enter your answer in the box _______.
It will take 50 minutes!
-378/7=-54
2700/-54=-50
Anise wants to have longer hair than her sister. Her sister's hair is 2.25 feet long. How long does Anise's hair have to
Answer:
b.
Step-by-step explanation:
4.3 x 10 ^-4 written in standard form
Answer:
0.00043 is the answer
Step-by-step explanation:
10^-4=1/10000
43*1/10000= 0.00043
10in 8 in 8 in What is the surface area of the solid? A. 384 square inches B. 184 square inches C. 192 square inches D. 224 square inches
Answer:
Step-by-step explanation:
224 sq in.
If m is 2 times n minus 7 and y is the square of m, then write y as a function of n.
Answer:
y = 4n^2
Step-by-step explanation:
Because m = 2n, and y = m^2, then substitute m = 2n into y equation, can get y = (2n)^2 = 4n^2.
Magnetic attraction is a property that makes two magnets stick together. It occurs when
Plzzzzzzzzzzzzzzzzzzzzz
first to answer get BRANLIEST
Answer:
When two like-poles point together.
Step-by-step explanation:
When two like-poles point together, the arrows from the two magnets point in OPPOSITE directions and the field lines cannot join up. So the magnets will push apart (repel). ... It's only when you hold unlike-poles together (a north pointing to a south) that magnets stick together (they are attracted).
Answer:
When two like-poles point together, the arrows from the two magnets point in opposite directions and the field lines cannot join up. So the magnets will push apart. It's only when you hold unlike-poles together that magnets stick together.
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = 1/6+ 4
+4?
Answer:
y = 6x + 8?
Step-by-step explanation:
The starting equation was unclear but if its perpindecular, flip the given slope. For example, if the slope was 3/4, its perpindecular slope would be 4/3.
What is the product of 456 and 59?
Answer:
26904
Step-by-step explanation:
Mikey biked 12 miles north to a park and then 5 miles west to the mall. Find how far Mickey is from the starting point.
Write your answer in the box.
Answer:
13 miles
Step-by-step explanation:
For this equation you would use the Pythagorean Theorem. [tex]a^{2}+b^{2} =c^{2}[/tex] .
12 x 12 = 144
5 x 5 = 25
144 + 25 = 169
[tex]\sqrt{169}[/tex] = 13
Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing what is the largest area the farmer can enclose ?
Complete question is;
A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing, what is the largest area the farmer can enclose?
Answer:
A_largest = 2592 ft²
Step-by-step explanation:
Let the width which is going to be perpendicular to the already existing fourth wall be denoted by y. Since there will be 2, it means total width = 2y.
Since the farmer has 144 ft of fencing and the total width is 2y,it means that the length of the fence will be expressed as;
Length = 144 - 2y
Area of rectangular fencing is;
A = y(144 - 2y)
A = 144y - 2y²
To find the largest area, we will find the first derivative and the equate to 0 after which we plug the value of y back into the area equation to get it.
dA/dy = 144 - 4y
At dA/dy = 0;
144 - 4y = 0
y = 144/4
y = 36 ft
Thus, largest area is;
A_largest = 144(36) - 2(36)²
A_largest = 2592 ft²
The largest area the farmer can enclose with the fence with him will be 2592 square feet.
Let the length of the field = [tex]x[/tex] feet
And the width of the field = [tex]y[/tex] feet
Therefore, area of the rectangular field = Length × Width
A = [tex]x\times y[/tex] square feet
Since, length of the fence = 144 feet
And the farmer has to enclose three sides of the rectangle as shown in the figure attached.
Therefore, length of the fence = length + 2(width)
= [tex](x+2y)[/tex] feet
Hence, [tex](x+2y)=144[/tex]
[tex]x=144-2y[/tex]
By substituting the value of 'x' in the expression for the area of the rectangular field.
[tex]A=(144-2y)y[/tex]
[tex]A=-2y^2+144y[/tex]
Find the derivative of the expression with respect to [tex]y[/tex],
[tex]A'=-4y+144[/tex]
Now equate it to zero to get the value of y,
[tex]A'=-4y+144=0[/tex]
[tex]y=36[/tex]
Now substitute the value of 'y' in the expression of area to get the maximum area enclosed.
[tex]A=-2(36)^2+144(36)[/tex]
[tex]=-2592+5184[/tex]
[tex]=2592[/tex] square feet
Therefore, maximum area the farmer can enclose with the 144 feet of fencing will be 2592 square feet.
Learn more,
https://brainly.com/question/16880549
3 units
8 units
9 units
13 units
21 units
What is the area of the figure in
square units.
Answer:
Area = 132 Square units
Step-by-step explanation:
Looking at the diagram, the top horizontal chord distance that's missing is calculated as;
21 - (9 + 3) = 9 units
Total distance of top horizontal chord = 9 + 3 = 12 units
Now, formula for area of trapezium is;
Area = ½(a + b)h
Where h is height = 8 units
The parallel sides are a & B.
In this case; a = 12 units
b = 21 units
Thus;
Area = ½(12 + 21)8
Area = 4 × 33
Area = 132 Square units
si f(X)=1/X2, determina el conjunto finito de pares ordenados para X={1,3,7,11,13}
Answer:
El conjunto finito de pares ordenados son;
(1, 1), (1, 1/9), (1, 1/49), (1, 1/121), (1, 1/169)
Step-by-step explanation:
si f (X) = 1 / X2, determine el conjunto finito de pares ordenados para X = {1,3,7,11,13}
Dado que f (X) = 1 / X²
Para X = {1, 3, 7, 11, 13}
Tenemos;
f (X) = 1 / X²
f (1) = 1 / 1² = 1, Por lo tanto, tenemos el primer par ordenado, (1, 1)
f (3) = 1 / 3² = 1/9, por lo tanto, tenemos el segundo par ordenado (1, 1/9) ≈ (1. 0.11)
f (7) = 1 / 7² = 1/49, por lo tanto, tenemos el tercer par ordenado (1, 1/49) ≈ (1. 0.02)
f (11) = 1 / 11² = 1/121, por lo tanto, tenemos el cuarto par ordenado (1, 1/121) ≈ (1. 0083)
f (13) = 1 / 13² = 1/169, por lo tanto, tenemos el quinto par ordenado (1, 1/169) ≈ (1. 0.006)