The value of arc EFC is 253 degree.
We have the arc :
Arc EFC
Arc CD
Arc DE
And, we know that sum of circular angle is 360 degree.
Arc EFC + Arc CD + Arc DE = 360
If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.
Arc CD is 90 degrees since the central angle is 90 degrees given
Arc DE is 17 degrees
Arc EFC + Arc CD + Arc DE = 360
If we input all the figures
Arc EFC + 90 + 17 = 360
Arc EFC + 107 = 360
Arc EFC = 360 - 107
Arc EFC = 253
Therefore, Arc EFC = 253°
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The correct questions is:
Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°
a real estate agent has 12 properties that she shows. she feels that there is a 40% chance of selling any one property during a week. the chance of selling any one property is independent of selling another property. compute the probability of selling more than 5 properties in one week. round your answer to four decimal places.
The probability of selling more than 5 properties in a week is 0.7494 (rounded to four decimal places).
The probability of selling more than five properties in a week would be calculated using the binomial distribution method. Binomial distribution is used to calculate the probability of an event happening, given a specific number of trials and assuming that each trial is independent of the others. In this case, we want to know the probability of selling more than five properties in a week.
The formula for the probability of selling more than five properties in a week is:
P(X > 5) = 1 - P(X ≤ 5)
Where P is the probability of selling any one property in a week, and X is the number of properties sold in a week.
Using the binomial probability formula, we can determine the probability of selling exactly k properties in one week:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where
n = 12 (total number of properties)
k = number of properties sold
p = 0.40 (probability of selling any one property in a week)
We can now calculate the probability of selling more than 5 properties in a week:
P(X > 5) = 1 - P(X ≤ 5)
P(X > 5) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5))
P(X > 5) = 1 - [(12 choose 0) * (0.40)^0 * (0.60)^(12-0) + (12 choose 1) * (0.40)^1 * (0.60)^(12-1) + (12 choose 2) * (0.40)^2 * (0.60)^(12-2) + (12 choose 3) * (0.40)^3 * (0.60)^(12-3) + (12 choose 4) * (0.40)^4 * (0.60)^(12-4) + (12 choose 5) * (0.40)^5 * (0.60)^(12-5)]
P(X > 5) = 1 - [0.000015 + 0.0003 + 0.003 + 0.018 + 0.068 + 0.161]
P(X > 5) = 1 - 0.250583
P(X > 5) = 0.749417
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What is the slope of the line in the graph?
5452-
Answer:
(0,5452) that every thing
Why was southern agriculture economically devastated by the civil war?
southern farmers no longer had enslaved people to work their plantations.
confederate casualties in the civil war outnumbered union casualties.
the north had over twice as many people as the south did.
the federal government encouraged people to move west.
Southern agriculture was economically devastated by the Civil War primarily because they no longer had enslaved people to work their plantations.
With the abolition of slavery, plantation owners struggled to find laborers who would work for low wages. Additionally, the Confederate casualties outnumbered Union casualties, leaving the South with fewer able-bodied men to work the land. The North, on the other hand, had a larger population and a more diversified economy. Finally, the federal government encouraged people to move west, further reducing the labor supply in the South. As a result, Southern agriculture was left in a state of ruin, with many plantations abandoned or left fallow. This dramatically increased labor costs and reduced production capacity. Additionally, Confederate casualties further depleted the available labor force. The South's smaller population compared to the North also limited its ability to recover. Lastly, the federal government's encouragement of westward expansion attracted potential labor away from the region, further hampering the South's agricultural recovery.
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А ____________ is a comparison of two quantities by division.
A. Unit Rate
B. Rate
C. Ratio
Answer:
Rate
Step-by-step explanation:
When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .
Mr. Fowler's science class grew two different varieties of plants as part of an
experiment. When the plant samples were fully grown, the students
compared their heights.
Plant
variety
Mean Mean absolute deviation
(inches)
Helght of plant
(inches)
20, 17, 19, 18, 21
13, 18, 11,9,14
19
1.2
Variety A
Variety B
13
2.4
Based on these data, which statement is true?
O A. The height of a plant from variety B is likely to be closer to the
mean
B. Plants from variety A always grow taller than plants from variety B.
C. The maximum height for plants from variety B is greater than for
variety A
O D. The height of a plant from variety A is likely to be closer to the
mean
Please help who ever answers first and the answer is correct will get brainlist please help fast!!!!
Answer:
B. plant from variety Always grow taller than plant from variety B
Mr.david gave ross a number and asked him to divide it by 15. The quotient and remainder obtained by ross are 341 and 12 respectively. Find the number that teacher gave ross.
The number the teacher gave Ross is 5127
Word problems on linear equationsFrom the question, we are to determine the number that the teacher gave Ross
From the given information,
Mr. David gave Ross a number and asked him to divide it by 15.
Let the number be x
That is,
x/15
The quotient and remainder obtained by ross are 341 and 12 respectively
That is,
x/15 = 341 + 12/15
Now, we will solve the equation for x
x/15 = 341 + 12/15
Multiply through by 15
x = 15×341 + 12
x = 5115 + 12
x = 5127
Hence, the number the teacher gave Ross is 5127
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Exercise 1. Two servers (S. and Ss) with exponential service time and same service rate are busy completing service of two jobs at time t = 0. The server that completes service first is referred to as the winning server (Sw), the other is referred to as the losing server (St). Jobs must complete their service before departing from the queue. A) Compute the probability of S to be the winning server, i.e., P(S = S1) = P(S = S2). Compute the probability of S, to be the winning server, i.e., P(S = Sx) = P(S = Si) (pt. 10). B) Compute the expected departure time of the winning server, defined as ty > 0 [pt. 10). C) Compute the expected departure time of the losing server, defined as t > t pt. 10).
A) Here, we have two servers: Server 1 (S1) and Server 2 (S2). And we need to compute the probability of S to be the winning server, i.e., P(S = S1) = P(S = S2).Since we have two servers with the same service rate, the jobs have equal chances of being assigned to either server.
Therefore, P(S = S1) = P(S = S2)
= 1/2.
(Both servers have equal probabilities of winning).
B) Expected departure time of the winning server, defined as ty > 0. It is also called the mean service time (MST) or the expected value of the service time. The expected value of an exponential distribution is equal to the reciprocal of the service rate. Thus, if the service rate of both servers is μ, then the expected departure time of the winning server will be 1/μ.
C) Expected departure time of the losing server, defined as t > t0. Since the two jobs can't leave until their services are complete, the service time of the winning server will be the total time taken by both jobs. Thus, the expected departure time of the losing server can be calculated by taking the expected departure time of the winning server (which is 1/μ) and subtracting the mean service time (MST) of a single job, which is 1/2μ. Therefore, the expected departure time of the losing server will be 1/μ - 1/2μ = 1/2μ.
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A panhandler makes $15 to $20 per day on the streets. This is his D) prestige. B) income C) status. A) wealth.
The term "income" refers to the money that an individual earns or receives in exchange for their work or services.
In this case, the panhandler is making $15 to $20 per day on the streets, which can be considered his income. The terms "prestige," "status," and "wealth" are not relevant in this context.
A panhandler who makes $15 to $20 per day on the streets and you want to know whether this is his A) wealth, B) income, C) status, or D) prestige.
The answer is B) income. The money a panhandler makes per day can be considered his daily income.
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Please help it’s due today
Answer: C f(x) = 16*(1/2)^ (x-1)
Step-by-step explanation:
You are dividing by 2 each time
Jim sells mobile phones and tablets. Jim must earn at least $3,000 per month. He earns $30 profit for each mobile phone and
$50 profit for each tablet. He has space in his inventory for only 100 total items and must have at least 20 tablets. Let u
represent the number of mobile phones Jim sells and y represent the number of tablets Jim sells.
Which system of linear inequalities represents the solution set to Jim's situation?
Answer:
Step-by-step explanation:
Number of tablets should be at least 20 which means it should ≥ 20
y ≥ 20
Jim should earn at least $ 3000
30u + 50y ≥ 3000
The linear inequalities are:
y ≥ 20
30u + 50y ≥ 3000
give the degree and the leading coefficient of the
following polynomial
7x-5+ײ-6x³
The degree of the polynomial is 3 and the leading coefficient of the polynomial is -6.
The degree and the leading coefficient of the polynomial given by
7x - 5 + x² - 6x³ are as follows:
What is Degree?
The degree of the polynomial is the highest exponent or power of the variable in the polynomial. In the given polynomial, the highest exponent of x is 3.
Hence, the degree of the polynomial is 3.
What is Coefficient?
The coefficient of the term in a polynomial is the numerical factor of that term.
In the given polynomial, the term with the highest exponent is -6x³.
The numerical factor or coefficient of this term is -6.
Hence, the leading coefficient of the polynomial is -6.
Therefore, the degree of the polynomial is 3 and the leading coefficient of the polynomial is -6.
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1. A large package contains 32 diapers if 3 of these large packages were repackaged 12 to a box how many boxes would be needed
2. how many eight passengers vans will it take to transport 124 people
DETAILS 21. [0/1 Points] WANEFM7 1.3.072. PREVIOUS ANSWERS Find a linear equation whose graph is the straight line with the given properties. through and parallel to the line 8x 9y = 2 A y(x) = Need H
The required equation of the line is \(y = (8/9)x + (37/9).\)
Given that the line is parallel to the line 8x - 9y = 2. Let us find the slope of the given line.8x - 9y = 2-9y = -8x + 2y = (8/9)x - (2/9)Comparing the above equation with y = mx + c, we get slope (m) = 8/9.So the slope of the given line is 8/9.Since the required line is parallel to the given line, it will have the same slope as that of the given line. Therefore, the slope of the required line is 8/9.Let us assume the equation of the line is of the form y = mx + c.
Substituting the point (7, 5) in the above equation, we get5 = (8/9)7 + c45 = 8 + 9cC = 37/9 to find a linear equation whose graph is the straight line with the given properties is to find the slope of the given line first. Since the required line is parallel to the given line, it will have the same slope as that of the given line.
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Translate Pre Image coordinates using the rule (x -13) and (y + 21)
Given the coordinates:
A(3, -5)
B(10, -8)
C(12, -13)
D(5, -10)
Then, applying the given rule, we have:
A'(3 - 13, -5 + 21) = ( -10, 16)
B'(10 - 13, -8 + 21) = ( -3, 13)
C'(12 - 13, -13 + 21) = ( -1, 8)
D'(5 - 13, -10 + 21) = ( -8, 11)
Three friends were playing a game of marbles.
At the end of the game, Marcy had 25% of the
marbles, Roger had
2
1
of the marbles, and Ann
had the rest of the marbles. If there were 100
marbles altogether, how many marbles did Ann
have at the end of the game?
The number of marbles Ann had at the end is 54.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total marbles = 100
The number of marbles:
Marcy:
= 25% of 100
= 1/4 x 100
= 25
Roger:
= 21
Now,
The number of marbles:
Ann = 100 - (25 + 21) = 100 - 46 = 54
Thus,
Ann has 54 marbles at the end.
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the chance of getting a rare disease is .03 per person. out of 1,000 people, how many of them are expected to get the disease?
Answer:
I believe the answer would be 30 people.
Step-by-step explanation:
To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.
Evaluate the expression: 16P4
The expression 16p⁴ will be written as (2p)⁴.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
16p⁴ = ( 2 x 2 x 2 x 2)p⁴
16p⁴ = 2⁴ x p⁴
16p⁴ = ( 2p )⁴
Therefore, the expression 16p⁴ will be written as (2p)⁴.
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convert million gallons per day to cubic feet per second
The flow rate of 5 MGD is equivalent to 7.73615 cfs
To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.
Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:
5 MGD x 1.54723 cfs/MGD = 7.73615 cfs
So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.
It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.
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Jennifer is 4 years older than Harvey.
Harvey is twice as old as Gwen.
If Gwen is g years old, which expression represents Jennifer’s age?
Answer:
g*2+4
Step-by-step explanation:
can someone pls help me?
Answer:
K well its 1/"1dws
Step-by-step explanation:
Point A is the incenter of △PQR. Find each measure
The value of each measure based on the incenter is illustrated below.
What is incenter?The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.
Angle ARU = 40 degree
Length of AU = 20
Angle QPA = 35 degree
Since, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
So, AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Substituting value of x in angle 3x + 2
We get, ∠QPA = 3(11) + 2 = 35°
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is y=x^3 a linear equation
Answer:
No
Step-by-step explanation:
Linear equations, when graphed, look like straight lines.
Examples include:
y= mx + b
y = 3
x + 2 = 0
y + 6 = 0
y = 7x +2
i need help on this please
Answer:
\(9m^8t^1^0/ 2t ^7\)
Step-by-step explanation:
Hope this helped :)
Can someone plzz answer this!!?
Answer: B Angle Side Angle
Step-by-step explanation:
Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.
Rearrange the steps into the order you would follow to create a copy of cab. place the first step at the top and the last step at the bottom
1.place the compass point at a. draw an are that intersects both rays of za. label the points of intersection b and c.
2.without changing the setting, place the compass point at y and draw an arc. label the point z where the two arcs intersect.
3.use a straightedge to draw a ray with endpoint x.
4.without changing the setting, place the compass point at x and draw an are intersecting the ray. mark the point y at the intersection.
5.use a straightedge to draw xz.
6. mark a point x
7. place the compass point at c and open the compass to the distance between b and c
The steps that should be followed to create a copy of cab are listed below in the correct order. Mark a point X. Use a straightedge to draw a ray with endpoint X.
Place the compass point at X and draw an arc intersecting the ray. Mark the point Y at the intersection. Without changing the setting, place the compass point at Y and draw an arc. Label the point Z where the two arcs intersect.
Use a straightedge to draw XZ. Place the compass point at A. Draw an arc that intersects both rays of ZA. Label the points of intersection B and C. Place the compass point at C and open the compass to the distance between B and C. The above-mentioned steps should be followed in the given order to create a copy of cab.
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The process to create a replication of the cab includes marking a point x, drawing rays, drawing arcs with a compass, and repeating this process with several different points. The steps are done in a sequential, specific order.
Explanation:To create a copy of the cab, the steps would be rearranged in this order:
Mark a point xUse a straightedge to draw a ray with endpoint x.Without changing the setting, place the compass point at x and draw an are intersecting the ray. Mark the point y at the intersection.Without changing the setting, place the compass point at y and draw an arc. Label the point z where the two arcs intersect.Use a straightedge to draw xz.Place the compass point at a. draw an arc that intersects both rays of za. Label the points of intersection b and c.Place the compass point at c and open the compass to the distance between b and c.Learn more about Compass Geometry here:https://brainly.com/question/33849399
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Which trigonometric functions do not have real zeros? (Select all that apply.) O sine O cosine tangent cosecant secant O cotangent ▾ DETAILS MCKTRIG7 4.1.009. 0/100 Submissions Use
The trigonometric functions that do not have real zeros are tangent and cotangent functions.
The trigonometric functions that do not have real zeros are tangent and cotangent functions. Let us explore more about trigonometric functions.The sine, cosine, tangent, cosecant, secant, and cotangent are all trigonometric functions. In a circle with a radius of 1, the trigonometric functions can be defined as follows:Let us consider a right-angled triangle ABC.
We know that:A, B, and C are the angles.The hypotenuse is AB.The opposite side to angle A is BC.The adjacent side to angle A is AC.The six trigonometric functions are as follows:Sine is opposite/hypotenuse. Cosine is adjacent/hypotenuse. Tangent is opposite/adjacent.
Cosecant is hypotenuse/opposite. Secant is hypotenuse/adjacent. Cotangent is adjacent/opposite.
Therefore, the trigonometric functions that do not have real zeros are tangent and cotangent functions.
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=
In AJKL, JL is extended through point L to point M, m/LJK = (x +9)°,
m/JKL = (x - 2)°, and m/KLM = (5x - 11)°. Find m/LJK.
Answer:
∠ LJK = 15°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ KLM is an exterior angle of the triangle , then
∠ KLM = ∠ LJK + ∠ JKL , that is
5x - 11 = x + 9 + x - 2
5x - 11 = 2x + 7 ( subtract 2x from both sides )
3x - 11 = 7 ( add 11 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Then
∠ LJK = x + 9 = 6 + 9 = 15°
5. A bus traveled 35 kilometers in 60 minutes. What was its speed?
Answer: 35 kilometers an hour or 21.7 miles per hour
Step-by-step explanation:
Answer:
35/1
Step-by-step explanation:
km/h
what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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a lake initially contains 4000 fish. suppose that in the absence of predators or other causes of removal, the fish population increases by 7% each month. however, factoring in all causes, 500 fish are lost each month. how many fish will be in the pond after 8 months? (don't round until the very end.)
According to calculations made using the provided data, there will be 5557 fish after 8 months.
It is estimated that the lake initially contains 5000 fish.
Since a1 is the population after the first month and the fish population rises by 10% per month while losing 80 fish, it follows that
a1 = ( a0 + 7/100a0) - 500
= (a0 + 0.07a0 ) - 500
=1.07a0 - 500
and ,
a2 = 1.07a0 - 500
Therefore. after eight months, the fish population's recurrence relation will be,
aₙ = 1.07a0 - 500 I (i)
a1 = 1.07( 4000) - 500
= 3780
Similarly,
a2 = 4080
a3 = 4400
a4 = 4111
and
a5 = 1.07( 4621) - 500
= 4444
a6 = 1.07( 4945) - 500
= 4791
a7 = 1.07( 5291) - 500
= 5161
a8 = 1.07( 5661) - 500 = 5557
Thus, there are 5557 fish total after 8 months.
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