Answer: x = 112
Step-by-step explanation:
a pair of angles which are on the same side but one is interior other exterior.
so the 2 angles are equal
determine the scale factor for a circle with a radius 9 in to a circle with diameter 6 in estimate your answer to 2 places after the decimal
The scale factor of the first circle with radius 9 in to that of the second circle with diameter 6 in is 3.00
The scale factor of a circle to another is the ratio of their radii
Radius of the first circle = 9 in
Diameter of the second circle = 6 in
Radius = Diameter / 2
Radius of the second circle = 6 / 2
Radius of the second circle = 3 in
Scale factor = (Radius of the first circle) / (Radius of the second circle)
Scale factor = 9/3
Scale factor = 3.00 (2 decimal places)
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Let Let X
1
,X
2
,…,X
n
be a random sample from the Beta(1,1) distribution. (a) What is another name for this distribution? (b) Find E[X
(n)
] and Var[X
(n)
] where X
(n)
=max(X
1
,X
2
,…,X
n
). (c) Find E[X
(n)
2
] 9. Let X be a Bernoulli random variable with parameter p. Derive the moment generating function of X. 10. Let Let X
1
and X
2
have joint pdf f
X
1
,X
2
(x
1
,x
2
)=8x
1
x
2
⋅I
(0,x
2
)
(x
1
)⋅I
(0,1)
(x
2
) Find the pdf of X
1
/X
2
.
Answer:The Beta(1,1) distribution is also known as the Uniform(0,1) distribution.
(b) Let X_1,X_2,...,X_n be a random sample from the Beta(1, 1) distribution. Then we know that each Xi ~ U(0, 1).
The probability density function of U(a,b), where a < b is:
f(x)= { 0 if x<a or x>b (b-a)^{-1} if a<=x<=b }
Therefore, f(x_i)=I[0≤xi≤11]=xi
Since all Xi's are independent and identically distributed as per above equations, P(X(n)<=t)= P(Xi <= t for all i = 1 to n) = t^n
Now we can write the CDF of X(n): F(t)=P(X(n)<=t)=(t^n)
Taking derivative with respect to t gives us the PDF: f(t)=d/dt(F(t))=nt^(n-1)
Using this formula for f(t), we can now calculate E[X(n)] and Var[X(n)]:
E[X(n)]= Integral{x * nt^(n-1)}dx over [0, 1] =Integral{x^2 * nt^(n-2)}dx over [0 , 1] =[x^3/(3nt^{n−2})] from [0 , 12 ] =(n/(3(n+2)))
Var[X(n)]=(∫[(x-E[x])²f(x)])from[01]=(∫[(y/n)(ny-t)/(n+2)tⁿ⁻¹])from[01]=[(-nt^{-(n+2)})/((n+4)(+))]from[01]=(n^2/(12*(n+2)^2))
(c) To find E[X(n)^2], we use the formula for Var(X(n)) that we obtained in part (b):
Var(X(n)) = E[X(n)^2] - [E[X(n)]]^2
Substituting the values of E[X(n)] and Var(X(n)), we get:
E[X(n)^2] = Var(X(n)) + [E[X(n)]]^2 = n^ 22 / (3*(n+22))^21
Step-by-step explanation:
select the proper fraction
a. 11/11
b. 4/1
c. 9/10
d. 5/3
Mario purchased a storage cube with a volume of 27 cubic feet. he wants to sit it on a shelf that is 4 feet wide wide. volume: 27ft³ Will the cube fit on the shelf? Explain how you know
Answer:
No, the cube will not fit on the shelf because it is too big. The shelf is only 4 feet wide, but the cube is 27 cubic feet, which is much bigger.
Please help as soon as possible!!!! Please explain your answer if possible!
Answer:
The answer is A.
Step-by-step explanation:
First, you have to solve the inequality :
\(4 - 3x < - 2\)
\( - 3x < - 2 - 4\)
\( - 3x < - 6\)
\(x > - 6 \div - 3\)
\(x > 2\)
Therefore, x > 2, so only option A is suitable for the x values.
For the list {12, 15, 13, 20, 23, 27, 25, 36, 40}, how many elements will be compared to find 25 using linear search
7 elements will be compared to find 25 using linear search
What is linear search?A linear search, also known as a sequential search, is a technique used in computer science to locate an element inside a list.Up until a match is discovered or the entire list has been searched, each element of the list is successively checked.In worst-case linear time, a linear search performs at most n comparisons, where n is the length of the list.A linear search has an average case of n+1/2 comparisons if each element is equally likely to be searched, but the average case can be impacted if the search probability for each element differ.Since other search algorithms and schemes, such the binary search algorithm and hash tables, provide substantially faster searching for all but short lists, linear search is rarely practical.To learn more about linear search with the given link
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one day, the weather forecast expects a storm may have rainfall at the rate of 1cm per hour. on this rate, how long will the pond be filled
To calculate how long it will take for the pond to be filled with rainfall at a rate of 1cm per hour, we need to know the volume of the pond. This answer seems impractical as it equates to approximately 17,917 years. Therefore, we can conclude that the pond will never fill up with rainfall at a rate of 1cm per hour.
Let's assume the pond is a circular shape with a diameter of 10 meters and a depth of 2 meters. To find the volume, we need to use the formula for the volume of a cylinder, which is πr^2h, where π is approximately 3.14, r is the radius of the pond (5 meters), and h is the depth (2 meters).
So, the volume of the pond is approximately 157 cubic meters (3.14 x 5^2 x 2). Now, we need to convert this volume into centimeters, as the rainfall rate is given in cm/hr. One cubic meter is equal to 100 x 100 x 100 cubic centimeters, which equals 1,000,000 cubic centimeters. Therefore, the pond's volume is 157 x 1,000,000 = 157,000,000 cubic centimeters.
Now, we can calculate how long it will take to fill the pond with rainfall at a rate of 1cm per hour. We divide the volume of the pond by the rate of rainfall, which gives us 157,000,000 / 1 = 157,000,000 hours.
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for an arbitrary population p, how many carts should the amusement park put out and what should they set their pretzel price to in order to maximize their profit? (answers may or may not be a function of p)
The optimal number of carts and pretzel price will depend on the size of the population and the competitive landscape. The park should conduct market research to determine the ideal price point and number of carts for their specific market.
To determine how many carts the amusement park should put out and what they should set their pretzel price to in order to maximize their profit for an arbitrary population p, several factors need to be considered.
Firstly, the demand for pretzels will depend on the size of the population p. If p is large, the park should put out more carts to meet the demand. However, if p is small, fewer carts would be sufficient.
Secondly, the price of the pretzels will also affect demand. If the price is too high, people may choose to buy other snacks or not purchase anything at all. On the other hand, if the price is too low, the park may not be able to cover their costs and make a profit. Therefore, the park should set the pretzel price to a level that is competitive with other snacks but still allows for a reasonable profit margin.
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HELP PLEASEE!!!!!!!!!! ASAP!!!!!!!!!!!!!!!!
Answer:
the answer is C
Step-by-step explanation:
i know because I did this
Answer:
(2,3)
Step-by-step explanation:
if the square rotated 90 degrees clockwise, it would go to the otherside of the y-axis and B' would end up on 2,3
A farmer harvested 1,760 pieces of fruit. 65% of them were not oranges. How many oranges did the farmer harvest?
Answer:
Number of oranges= 616
Step-by-step explanation:
Giving the following information:
A farmer harvested 1,760 pieces of fruit. 65% of them were not oranges.
To calculate the number of oranges, we need to use the following formula:
Number of oranges= total number of fruits*percentage of oranges
Number of oranges= 1,760 * (1 - 0.65)
Number of oranges= 616
Why does a plasmid that is going to be used in both yeast and bacteria need to have two different selection markers? Select ALL that apply. The same selection (e.g. presence of an antibiotic) may not work for both hosts. Having more genes makes the plasmid bigger and thus easier to work with and maintain. In cases where the same selection can be used in both hosts, two selection markers are still needed because bacteria and yeast recognize different promoters The codons used by bacteria correspond to different amino acids than they do in yeast.
A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.
When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.
Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.
In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.
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Two cars are traveling along a straight road. Car A maintains a constant speed of 77.0 km/h. Car B maintains a constant speed of 114 km/h. At t=0, car B is 45.0 km behind car A. How long does it take before car A is overtaken by car B?
Answer: 72.97 Minutes
Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.
To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.
Relative speed = Speed of car B - Speed of car A
Relative speed = 114 km/h - 77.0 km/h
Relative speed = 37.0 km/h
So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.
To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.
Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours
Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).
Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes
Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.
Hope this helps!
What is the sum of the 9th square number and the 14th square number?
explain how to calculate the circulation of a vector field on a closed smooth oriented curve.
Identify the vector field that you want to calculate the circulation for and the closed smooth oriented curve that you want to integrate over.
The circulation of a vector field on a closed smooth oriented curve can be calculated using Stokes' theorem, which relates the circulation of a vector field around a closed curve to the integral of the curl of the vector field over a surface bounded by the curve.
Here are the steps to calculate the circulation of a vector field on a closed smooth oriented curve using Stokes' theorem:
1.Identify the vector field that you want to calculate the circulation for and the closed smooth oriented curve that you want to integrate over.
2.Calculate the curl of the vector field. The curl is a vector that measures the amount of rotation or circulation of the vector field at each point in space.
3.Choose a surface that is bounded by the closed curve. The surface should be oriented such that its normal vector points in the same direction as the orientation of the curve.
4.Calculate the surface integral of the curl of the vector field over the chosen surface. This can be done using the formula:
∫∫(curl F) · dS
where (curl F) is the curl of the vector field, dS is an infinitesimal surface element, and the double integral is taken over the surface bounded by the closed curve.
5.Apply Stokes' theorem, which states that the circulation of the vector field around the closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve. Mathematically, this can be written as:
∮C F · dr = ∫∫(curl F) · dS
where ∮C F · dr is the circulation of the vector field around the closed curve, and the integral is taken over the curve.
6.Evaluate the surface integral of the curl of the vector field over the surface bounded by the curve and use it to calculate the circulation of the vector field around the closed curve.
Note that the orientation of the curve and the surface must be consistent for Stokes' theorem to hold.
If the orientations are not consistent, then the result obtained from Stokes' theorem will be negative of the actual circulation of the vector field around the closed curve.
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Suppose A and B represent mutually exclusive events.
What is P(A or B) if P(A)= 3/5 and P(B)= 1/3?
A- 11/15
B- 3/15
C- 14/15
D- 4/15
Answer:
14/15
Step-by-step explanation:
simple
3/5 + 1/3= 14/15
A television originally cost $2800. It goes on sale at 10% off the original price.
How much does the television cost now?
Answer:
Step-by-step explanation:
2800(1-10/100)
2800(100-10)/100
2800(90/100)
$2520
Find the area of the parallelogram whose vertices are listed. (0,0),(3,6),(8,2),(11,8) The area of the parallelogram is square units.
The area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.
To find the area of a parallelogram with given vertices, we can use the formula:
Area = |(x1y2 + x2y3 + x3y4 + x4y1) - (y1x2 + y2x3 + y3x4 + y4x1)| / 2
Given the vertices:
A = (0, 0)
B = (3, 6)
C = (8, 2)
D = (11, 8)
We can plug these coordinates into the formula to calculate the area:
Area = |(0*6 + 3*2 + 8*8 + 11*0) - (0*3 + 6*8 + 2*11 + 8*0)| / 2
Area = |(0 + 6 + 64 + 0) - (0 + 48 + 22 + 0)| / 2
Area = |70 - 70| / 2
Area = 0 / 2
Area = 0
Therefore, the area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.
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if you multiply amp × ohm, the answers will be in units of
Multiplying ampere (amp) by ohm gives units of volt (V).
Therefore, the answer will be in volts (V). This is because ohm is the unit of electrical resistance, ampere is the unit of electrical current, and volt is the unit of electrical potential difference, which is calculated as the product of current and resistance according to Ohm's law: V = I × R.
Ohm is the unit of electrical resistance, which measures how much a material opposes the flow of electric current. One ohm (1 Ω) of resistance is defined as the amount of resistance that allows one ampere (1 A) of current to flow when a potential difference of one volt (1 V) is applied across it.
Ampere is the unit of electrical current, which measures the rate at which electric charge flows through a material. One ampere (1 A) of current is defined as the flow of one coulomb of electric charge per second.
Volt is the unit of electrical potential difference, which measures the amount of energy required to move a unit of electric charge from one point to another. One volt (1 V) of potential difference is defined as the amount of energy required to move one coulomb of electric charge across a circuit element that has one ohm of resistance.
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Radioactive radium has a half-life of approximately 1,599 years. the initial quantity is 13 grams. how much (in grams) remains after 850 years? (round your answer to two decimal places.)
The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.
The time taken by substance to reduce to its half of its initial concentration is called half life period.
We will use the half- life equation N(t)
N e^{(-0.693t) /t½}
Where,
N is the initial sample
t½ is the half life time period of the substance
t2 is the time in years.
N(t) is the reminder quantity after t years .
Given
N = 13g
t = 350 years
t½ = 1599 years
By substituting all the value, we get
N(t) = 13e^(0.693 × 50) / (1599)
= 13e^(- 0.368386)
= 13 × 0.691
= 8.98
Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.
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A new brewery is setting up its production facilities. It takes
6 weeks to brew a particular lager. If the brewery anticipates
serving 200 pints of this lager a day, how big of a vessel will the
brewe
It takes 6 weeks to brew a particular lager and the brewery anticipates serving 200 pints of this lager a day. To find: How big of a vessel will the brewery require? Solution: The brewery anticipates serving 200 pints of lager per day. It takes 6 weeks to brew a particular lager.
There are 7 days in a week. So, the total number of days required to brew the lager= 6 x 7= 42 days. It is given that the brewery anticipates serving 200 pints of lager per day. So, the total number of pints that the brewery will require to serve 200 pints per day for 42 days= 200 x 42= 8400 pints.1 gallon= 8 pints Therefore, 8400 pints= 8400/8 gallons= 1050 gallons. Hence, the brewery requires a vessel of 1050 gallons. Answer: 1050.
It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.
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Which list orders the numbers from least to greatest?
3,-25, 12, -23.1
13
Answer:
-25, -23.1, 3, 12, 13
Answer:
-25, -23.1, 3, 12, 13
Step-by-step explanation:
Solve for x. PLEASE HELP ASAP!!!
A. 8
B.4
C. 10
D. 7
Answer:
\(6(6+4)=5(5+x)\)
\(6(10)=5(5+x)\)
\(60=5(5+x)\)
\(12=5+x\)
\(x=7\)
~OAmalOHopeO
What is a doubles fact in first grade math?
Doubles fact is the doubled value that is easy to remember , but doubles fact are easily to remember when they are small number .
e.g. doubles fact for 8 is 16 as 8+8 = 16.
Some double facts are:
1's = 1+1 = 2.
2's = 4
3's = 6
4's = 8
etc.
The reason teachers use double facts to teach students is because they provide a faster way to find the answer to addition problems that are not as easy to memorize.
e.g. if we need to find value for 8 + 9
then we can split this in doubles fact of 8 as:
8+8+1 (writing 9 as sum of 8 and 1)
And solution will be as 8+8+1 = 16+1
= 17.
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A gas cooker costing 450$
was increased by 10% how much is the gas cooker now
Bret Rockford bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan. At the end of 1 year he owes the bank $70,000. Since then interest rates have increased to 13%. The bank will renew the mortgage at this rate, or Bret can pay the bank $70,000. He decides to renew and will now pay $11.72 monthly per thousand on his loan. (You can ignore the small amount of principal paid during the year.)
The old monthly payment is $
.
The new monthly payment is $
.
The percent increase in her monthly payment (to the nearest tenth) is
%
The old monthly payment was = 10.67 x 70 = 746.9
The new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
Given,
Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan
According to the question:
So, per thousand value of $70,000 is 70000/1000 =70
Now, the old monthly payment was = 10.67 x 70 = 746.9
He decides to renew and will now pay $11.10 monthly per thousand on his loan.
So, the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100
9.8406 % and to nearest tenth it is 9.8406%
Hence, the old monthly payment was = 10.67 x 70 = 746.9
the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
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A full glass of water holds 1/6 of a bottle of water.
How many glasses of water can be filled from 2 and 1/2 bottles of water
Answer:
15
Step-by-step explanation:
2 and 1/2 divided by 1/6
Can y’all please solve this
PLZ HELP ME!!! THX :D
Answer:
x=6
MKL=37
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. because U is between T and B
TU +UB = TB
2x+3x+1 =21
5x = 20
x= 4
mTU = 2x = 2*4 = 8
mUB = 3x+1 = 3*4 +1 = 12 +1 = 13
2.
m∠JKL = 59°
m∠MKL + m∠JKM = m∠JKL
5x+7 +2x+10 = 59
7x +17 = 59
7x = 59-17
x = 42/7 = 6
m∠MKL=5x+7 = 5*6 +7 = 30+7 = 37°
question is attached
6 less than a number k multiplied by 25
Answer:
25k - 150
Step-by-step explanation:
Equation:-
(k-6) x 25
=> 25k - 150