The two possible sets of four numbers are (9,-27,81, -243) and (-18,-54,-162,-486).
A geometric progression is a special type of progression where the successive terms bear a constant ratio known as a common ratio. It is also commonly referred to as GP. The GP is generally represented in form a, ar, ar2.... where 'a' is the first term and 'r' is the common ratio of the progression. The common ratio can have both negative as well as positive values. To find the terms of a geometric series, we only need the first term and the constant ratio. Finite geometric progression contains a finite number of terms. It is the progression where the last term is defined. Infinite geometric progression contains an infinite number of terms. It is the progression where the last term is not defined.
Let the first term of the geometric progression be a and the common ratio be r.
The second term is less than the first by 36.
∴ a - ar = 36
⇒ a(1-r) = 36 --- (1)
The third term is greater than the fourth term by 324.
∴ ar² - ar³ = 324
⇒ ar²(1-r) = 324 --- (2)
Divide equation (2) by equation (1):
∴ r² = 9
⇒ r = ±3
Put r in the first equation:
⇒ a - ar = 36
⇒ a(1 - (±3) = 36
⇒ a = 36/4 or 36/-2
∴ a = 9 or -18
Similarly finding the other three terms:
ar = 9× -3 or -18×3 = -27 or -54
ar² = -27×-3 or -54×3 = -81 or -162
ar³ = -81×-3 or -162×3 = 243 or -486
Thus, the two possible sets of four numbers are (9,-27,81, -243) and (-18,-54,-162,-486).
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in general (whether events are disjoint or not), what is the formula for finding p(ab)? 3.) explain the difference between the addition rule for disjoint events and the general addition rule. 4.) what is meant by joint probability? 5.) what is meant by conditional probability?
The Formula is p(A and B) = p(A) * p(B|A)
1) In general, the formula for finding the probability of the intersection of two events, A and B, is:
p(A and B) = p(A) * p(B|A)
This is also known as the conditional probability formula, where p(B|A) is the probability of event B occurring given that event A has already occurred.
2) The addition rule for disjoint events is:
p(A or B) = p(A) + p(B)
This rule applies when events A and B are disjoint, meaning they cannot occur at the same time. In other words, the two events have no common outcomes.
The general addition rule, on the other hand, is:
p(A or B) = p(A) + p(B) - p(A and B)
This rule applies when events A and B are not disjoint, meaning they can occur at the same time. In this case, we need to subtract the probability of the intersection of A and B, as we have double-counted the outcomes that are common to both events.
3) Joint probability refers to the probability of two or more events occurring together, also known as the probability of the intersection of the events. It is the probability of multiple events occurring at the same time.
4) Conditional probability refers to the probability of an event occurring, given that another event has already occurred. It is the probability of an event A happening, given that event B has already happened. The conditional probability of A given B is represented as P(A|B).
5) Conditional probability is the probability of an event occurring given that another event has already occurred. It is a way to express how likely an event is given that another event has already occurred. It is represented as P(A|B) where A and B are events, it is the probability of event A happening given that event B has already happened.
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mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning. when he averages 40 miles per hour, he arrives at his workplace three minutes late. when he averages 60 miles per hour, he arrives three minutes early. at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning
when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.
when he averages 60 miles per hour, he arrives thirty minutes early.
at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
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GEOMETRY/ TRIG
Anything helps! Thank you
This is an example of a triangle with two missing sides.
TrigonometryTo find the missing sides of a triangle, you can use the trigonometric ratios of sine, cosine, and tangent. All of these are based on the reference angle, which is the angle between the two known sides.For example, if the reference angle is 30°, then the trigonometric ratios are: sine of 30° is 1/2, cosine of 30° is √3/2, and tangent of 30° is √3/3.To find the missing sides of a triangle, you can use the Law of Sines and Law of Cosines. The Law of Sines states that the ratio of the lengths of the sides of a triangle to the sines of their opposite angles is the same for all three sides. The Law of Cosines states that the sum of the squares of the two sides of a triangle is equal to the square of the third side minus twice the product of the two sides multiplied by the cosine of the angle between them.Using these two laws, you can solve for the missing sides of the triangle. For example, if you know the length of two sides and the angle between them, you can use the Law of Cosines to find the length of the third side. Then, you can use the Law of Sines to find the angles of the other two sides. This method of finding the missing sides of a triangle is called trigonometry.To learn more about trigonometry refer to:
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Find the total surface area of this cuboid.
5 cm
4 cm
6 cml
Answer: 148
Step-by-step explanation: To find the surface area, add up all the side areas. Since we know that the opposite side of one side is the same, we can do 2(4 *5) + 2(6*5) + 2(4*6). This will get 148.
Pls help!! URGENT!!
What is RU? Use the figure below.
Answer: 20 ( Choice A )
Step-by-step explanation: You can prove that triangle RTS and triangle RTU are the same using the Side-Angle-Side method, so ultimately, side RS should equal RU. Therefore, 8x = 6x + 5.
x should equal 2.5. The question is asking you how long side RU is, simply plug in 2.5 and you get 20.
El primo de la señora Martha fue a pedir un préstamo de $1800 bajo las mismas condiciones que la señora Martha ¿cuánto pagara de interés en primo de la señora Martha?
Mrs. Martha's cousin will pay $108 in interest for a loan of $1800.
What is interest in a simple definition?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.Interest is the money you owe when borrowing or receive when lending. Lenders calculate interest as a percentage of the loan amount. Consumers can earn interest by lending money (such as through a bond or certificate of deposit) or depositing funds into an interest-bearing bank account.The three types of interest include simple (regular) interest, accrued interest, and compounding interest.Since Mrs. Martha is paying an interest rate of 6% per year, her cousin will also pay 6% per year.
To calculate the amount of interest paid, we can use the formula:
Interest = Principal * Rate * Time
Where:
Principal = $1800Rate = 6% (or 0.06 as a decimal)Time = 1 yearSo:
Interest = $1800 * 0.06 * 1 = $108
Therefore, Mrs. Martha's cousin will pay $108 in interest for a loan of $1800.
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Can you have a triangle with 2cm 3cm 5cm Class 7?
No , we cannot have a triangle with 2cm , 3cm and 5cm , because the sum of two sides is not greater than the other sides .
What is a Triangle ?
A triangle can be defined as the closed figure , that is made up of three line segments .
The Condition for any three sides to form a triangle : the sum of any two sides of triangle should be greater than the third side .
The sides of triangle are given to be : 2cm , 3cm and 5cm ;
on adding the two sides ,
we get ;
⇒ 2 + 3 = 5 > 5 ; False
⇒ 3 + 5 = 8 > 2 ; True
⇒ 2 + 5 = 7 > 3 ; True
All the conditions are not met ,
Therefore , the given sides cannot form a triangle .
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Using banker's algorithm what is safe sequence.(A) P2, P3, P1 (B) P1, P2, P3 (C) P3, P2, P1 (D) None of the above
P2, P3, P1 is a safe sequence according to the banker's algorithm.
What is banker's algorithm?The banker's algorithm gets its name from the fact that it determines whether or not a person should be granted a loan amount in order to assist the bank system in securely simulating resource allocation. In this part, we'll go through the Banker's Algorithm in depth. The Banker's Algorithm is primarily used in the banking system to avoid stalemate. It assists you in determining whether or not a loan will be granted. This procedure is used to assess the allocation for securely replicating the maximum amount available for all resources.
Here,
According to the banker's algorithm, the sequence P2, P3, P1 is secure.
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university of texas students were fitted with belt-worn tape recorders for up to four days so that researchers could sample their daily activities. the researchers employed a scientific method known as
The researchers employed a scientific method known as Ethnography.
Ethnography to study the recorded data. Ethnography is a method of research that involves the systematic study of people and cultures, often through the use of participant observation and the collection of detailed field notes. In this case, the researchers used the recordings to gain an understanding of the student's daily activities and how they were affected by their environment.
The researcher also often conducts in-depth interviews, focus groups, or surveys with group members to comprehensively understand their perspectives and experiences.
Ethnography can be applied in various fields, including anthropology, sociology, education, and business. It is commonly used to study communities, organizations, and other social groups.
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The US has a population of approximately 330 million people. Given that 0. 35 of the population have blue eyes, calculate the number of people in the US who do not have blue eyes.
The number of people in the US who do not have blue eyes is 214.5 million.
The given question has been solved using Probability. It is given that the number of people in the US is 330 million
for the time being, we let P=330 which represents the population of the US
also, it is given that the number of people having blue eyes is 0.35 times the Population
So, Pb= 0.35 × P
here, Pb represents the number of people having blue eyes
So the number of people that do not have blue eyes must be the number of people having blue eyes subtracted from those having blue eyes
i.e, Pnb=P-Pb
=P-(P × 0.35)
=P(1-0.35)
=330 (0.65 )
=214.5
Thereby, the number of people that do not have blue eyes is 214.5 million.
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Can some one do one two and four
Algebra 2 I am really lost on this topic
1) The function f(x) is defined as follows: B. F(x) = -(x + 2)²(x - 2).
2) The standard definition of function f(x) is given as follows: A. F(x) = ax³ + bx² + cx + d.
4. The solution to the system of equations is approximated by the following option:
A. (-3.43, 6.30).
How to define the functions?The function for item 1 is defined considering it's roots, as follows:
x = -2, with a multiplicity of 2, as the function just touches the x-axis, not crossing.x = 2, with a multiplicity of 1.Hence the function is defined as follows:
F(x) = a(x + 2)²(x - 2).
The y-intercept is positive, meaning that:
-8a > 0.
Thus the leading coefficient a is negative, and the correct option is given by option B.
The cube function, with all positive coefficients, is given by option A in item 2.
How to solve a system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of all the equations that compose the system.
The equations that compose the system in this problem are given as follows:
v(x) = x³ + 2x² - 5x + 6.b(x) = -3x - 4.For this problem, the systems are composed by a third degree function v(x) and a linear function b(x), hence we graph them and obtain the point of intersection.
From the graph given by the image presented at the end of the answer, the coordinates of the point of intersection are presented as follows:
(-3.432, 6.296).
This means that, using rounding, the correct option is given by option A for the solution of the system of equations.
Missing InformationItem 1 asks to define the graphed function, while item 2 asks for the standard cube function.
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11 Mark the givens in the diagram. Then copy the proof on paper, and fill in the blanks to complete the proof. Chapter Reference c Given that AR ∩ DC = M, AD = RC and ∠A ≅ ∠R, prove that △MAD ≅ △MRC. A D M R C 1. AD = ____ 1. Given 2. ∠A ≅ ∠____ 2. Given 3. ∠AMD ≅ ∠____ 3. ________ 4. △MAD≅ △____ 4. ________ Answer: 1. AD = RC 1. Given 2. ∠A≅∠ 2. Given 3. ∠ AM D = ∠ 3. 4. △ MAD ≅△ 4.
Answer:
AD=RC, GIVEN
∠A≅∠R GIVEN
∠AMD=∠RMC VERtical angles
△MAD≅△MRC ASA/SAA
Step-by-step explanation:
10 1/2 cup of flour are needed to make three lova of bread how many cup are needed
The offered statement states that 42 cups of grain are required to produce three loaves of bread.
Where did the loaves and fishes tradition start?As a completely volunteer hot meal service in 1983, Breads & Fishes quickly evolved into a pre-packaged shopping bag contribution program for locals. This nonprofit's first year's budget was $6,500, at which time the pantry supplied food to about 50 homes.
We know we need four times 10 1/2 cups of flour since 12 was 4 times higher than three (3 * 4 = 12).
We only have to calculate 10.5 * 4 = x but then just solve for x.
42 cups - grain (10.5 * 4)
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The complete question is-
10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?
AB = AC and D i the mid-point of BC. (i) State the three pair of equal part in
∆ADB and ∆ADC
It is proved that 1) AB = AC, 2) angle B = angle C fo the given triangles.
What is triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Accprding to question:Here in Delta ADB and Delta ADC.
i) Three pair of equal parts are:
AD = AD ( common side )
BD = CD ( as d is the mid point of BC)
AB = AC (given in the question)
ii) Now,
by SSS Concurrency rule,
Delta ADB\cong \Delta ADC
iii) As both triangles are congruent to each other we can compare them and say
angle B = angle C.
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Complete question:
In figure AB=AC and D is the mid point of BC state the 3 pairs of equal parts in
Triangle ADB and triangle ADC
is ADB= ADC? give reason
is <B = <C? why?
PLEASE ANSWERRR ASAP
Help me please thanu you sm
Step-by-step explanation:
now you should be able to dive these things yourself.
A no
(1/4)v = 4
4×(1/4)v = 4×4
v = 16
this is not v = 4
B no
n + 4 = 25
n + 4 - 4 = 25 - 4
n = 21
this is not n = 17
C yes
2z = 28
2z/2 = 28/2
z = 14
I need help with this
Answer:
12
Step-by-step explanation:
Draw a horizontal line that splits the hexagon in half
x = 180 - measure of a angle in the pentagon - half of the angle in the hexagon
x = 180 - 540/5 - 1/2*(720/6)
x = 180 - 108 - 60 = 180 - 168 = 12
Hope this helps :)
Have a great day
Use the histogram to answer the following questions.
1.
what does each axis indicate?
9
8
2.
how is the horizontal axis organized?
7
frequency
3.
how many bowlers competed?
2
describe the general shape of the distribution.
1) The bowler's scores are shown on the horizontal axis, while the frequency is shown on the vertical axis.
2) Groups of 20 points are assigned to the scoring.
3) There are 30 bowlers competing.
4) The distribution is skewed towards the left.
A histogram is a bar graph that shows data that has been divided into equal intervals in terms of frequency. The bars must touch but not overlap, and they must be of equal width.
1) A histogram shows the type of data being measured on the horizontal axis and the number of observations in each bin on the vertical axis.
Here, the horizontal axis displays the bowlers' scores, and the vertical axis displays the frequency at each interval.
2) The categories or bins of the data are listed on the horizontal axis of a histogram. The height of the columns, which represents the frequency or quantity of the occurrences, is listed on the vertical axis.
Here, the scores are arranged into 20-point groups.
3) From the histogram, it is interpreted that:
Bowlers = 2 + 4 + 6 + 8 + 9 + 1 = 30
Therefore, 30 bowlers compete
4) The distribution is skewed left. A distribution is said to be "skewed left" if the tail is to the left. The procedure of determining a "typical value" for the distribution is philosophically more challenging when the distribution is skewed.
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3 tractor drivers working on aprivate form together ploughed 12.4 hectors of a land in a shift,the first driver ploughed half of the second and the second ploughed 2.4 hector more than the third find the amount of hector ploughed by the second driver?
On the social and economic structure of the United States, the agricultural tractor had a significant influence.
What role does mathematics have in farming?The daily operations of a farm involve the use of scientific and mathematical knowledge. For instance, farmers utilise their mathematical prowess to calculate how much seed they will need, how much it will cost to plant their crop based on the amount of arable land they have, how much equipment or tools they would need to buy, and how much they will need to pay for various purchases.On the social and economic structure of the United States, the agricultural tractor had a significant influence. Millions of farm owners, unpaid family labourers, and farm hands were made available as a result of mechanization's increased productivity of agricultural labour.To learn more about mathematics refer to:
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The third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.
How to find the amount of hector ploughed by the second driver?Let's call the amount of land ploughed by the third driver "x".
The second driver ploughed 2.4 more than the third driver, so they ploughed x + 2.4.
The first driver ploughed half of what the second driver ploughed, so they ploughed (x + 2.4)/2.
In total, the three drivers ploughed x + (x + 2.4) + (x + 2.4)/2 = 3.5x + 4.2 hectors of land.
We know that the total amount of land ploughed is 12.4 hectors, so we can set up an equation:
3.5x + 4.2 = 12.4
Solving for x:
3.5x = 8.2
x = 2.3
So the third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.
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Which point is located at 4, -2?
Answer:
B
Step-by-step explanation:
the 4 is how far along you go on the x-axis (horizontal line).
the -2 is saying it needs to be 2 boxes below 0 on the y-axis (vertical line).
therefore the answer is b
8 hr 18min Divided by 5
Answer: 99.6 min
Step-by-step explanation:
the area of a trapezium is 1440 cm². if the lengths of its parallel sides are 54.6 cm and 35.4 cm, find the distance between them
Answer:
h = 32 cm
Step-by-step explanation:
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between the parallel sides b₁ and b₂
given A = 1440 , b₁ = 54.6 , b₂ = 35.4 , then
[tex]\frac{1}{2}[/tex] h (54.6 + 35.4) = 1440 ( multiply both sides by 2 to clear the fraction )
h × 90 = 2880 ( divide both sides by 90 )
h = 32
the distance between the parallel sides is 32 cm
What is the product of radical 5 and 10 radical 30 in simplest radical form
The product of radical 5 and 10 radical 30 in simplest radical form is 50√6
What is Expression?An expression is combination of variables, numbers and operators.
We need to find the product of radical 5 and 10 radical 30 in simplest radical form
It can be written as √5×10√30
√a.√b=√ab
√5×10√30
10√5×30
10√150
10√25×6
10.5√6
50√6
Hence, the product of radical 5 and 10 radical 30 in simplest radical form is 50√6
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Answer:
What the other dude said:
The product of radical 5 and 10 radical 30 in simplest radical form is 50√6
Step-by-step explanation:
Sia deleted 9/10 of her email messages.if she deleted 72 e-mails messages ,how many did she originally have?
Answer:
She had 80 emails.
Step-by-step explanation:
M109) solve
cos²x + 2 cosx + 1 = 0
Answer:
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: \huge \color{green}{ \fbox \colorbox{black}{ \fbox{ \green {Answer} \: }}}[/tex]
[tex] \longrightarrow \sf \color{teal}{ \cos {}^{2} (x) + 2 \cos(x) + 1} = 0[/tex]
[tex] \longrightarrow \sf \color{teal}{ \cos {}^{2} (x) + \cos(x) + \cos(x) + 1} = 0[/tex]
[tex] \longrightarrow \sf \color{teal}{ \cos {}^{} (x) ( \cos(x) + 1)+ 1(\cos(x) + 1} )= 0[/tex]
[tex] \longrightarrow \sf \color{teal}{ ( \cos(x) + 1)(\cos(x) + 1} )= 0[/tex]
[tex] \longrightarrow \sf \color{teal}{ ( (\cos(x) + 1} {}^{} ) {}^{2} = 0[/tex]
[tex] \longrightarrow \sf \color{teal}{ ( (\cos(x) + 1} {}^{} ) {}^{} = 0[/tex]
[tex] \longrightarrow \sf \color{teal}{ \cos(x) {}^{} }= - 1[/tex]
[tex]\longrightarrow \sf \color{teal}{ x{}^{} }= \cos {}^{ - 1}( - 1)[/tex]
[tex]\longrightarrow \sf \color{teal}{ x = (2n + 1) \pi \: \: \: \: rad}[/tex]
where, [tex]{ n \in \{whole \:\; number\}} [/tex]
Principle value -
[tex] \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = \cos {}^{ - 1} ( - 1) [/tex]
[tex] \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = (2n + 1) \pi \: \: \: \: rad \: [/tex]
put n = 0
[tex] \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = (2(0) + 1) \pi \: \: \: \: rad \: [/tex]
[tex] \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = (0 + 1) \pi \: \: \: \: rad \: [/tex]
[tex] \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = \pi \: \: \: \: rad \: = 180 \degree[/tex]
you have been told to reduce your department by 15%. your department has 220 workers. there are 512 workers in the whole company. how many workers must be let go (round to the nearest worker)?
To reduce your department by 15%, you would need to let go of 33 workers.
Reducing a department by 15% means that 15% of the current workforce in that department will be let go. To calculate this, you first need to determine the percentage of the total workforce that your department represents. In this case, your department has 220 workers out of 512 workers in the whole company, which represents 43% of the total workforce.
Then, you can calculate the number of workers that need to be let go by multiplying the total number of workers in your department by the percentage that needs to be cut. In this case, that would be
220 x 0.15 = 33 workers
This means that 33 out of the 220 workers in your department would need to be let go in order to achieve a 15% reduction.
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Solve for x. Round to the nearest tenth, if necessary.
By using trigonometric relations, we can see that the angle x on the right triangle is:
x = 62.96°
How to find the value of x on the right triangle?On the image, we can see a right triangle, and we want to find the value of x, which is the measure of an angle on the right triangle.
On the given triangle we can see that the hypotenuse measures 77 units, and the adjacent cathetus to the angle has a measure of 35.
Then we can use the trigonometric relation:
cos(x) = (adjacent cathetus)/(hypotenuse)
Replacing the values that we know:
cos(x) = 35/77
Now we can apply the inverse cosine function in both sides:
Acos(cos(x)) = Acos(35/77)
x = Acos(35/77) = 62.96°
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How to solve 3 equations with 3 variables using elimination?
The elimination method is used to solve a system of equations with multiple variables. Repeat this process until all of the variables have been eliminated, then simplify the equations to solve for the remaining variable.
Once a variable has been isolated, it can then be eliminated from the other equations by either adding or subtracting the equations from each other. This process should be repeated until all of the variables have been eliminated from all of the equations.
For example, let's solve the following system of equations with 3 variables a, b, and c:
a + b + c = 8
2a + b + 2c = 12
3a + 2b + 3c = 18
First, isolate the variable c in equation 1 by subtracting b and a from both sides:
c = 8 - a - b
Substitute this expression for c in equation 2 and 3 to eliminate c:
2a + b + 2(8 - a - b) = 12
3a + 2b + 3(8 - a - b) = 18
Then simplify the equations to solve for the remaining variables:
2a + 3b = -4
9a + 6b = 36
Next, isolate the variable a in equation 2 by subtracting 3b from both sides:
a = -4/2 - 3b/2
Substitute this expression for a in equation 1 and 3 to eliminate a:
-4/2 - 3b/2 + b + 8 - b = 8
9(-4/2 - 3b/2) + 6b + 3(8 - b) = 36
Then simplify the equations to solve for the remaining variable:
15b = -12
b = -12/15
Finally, substitute b back into equation 1 or 2 to solve for a:
a + (-12/15) + 8 = 8
a = 8 - (-12/15) - 8
a = 24/15
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Which best describes the range of the function fx 2 3 x?
On solving the provided question, we can say that the range of the function f(x) = 2(3)x is best described by y > 0.
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.
The range of the function f(x) = 2(3)x is best described by y > 0.
Especially when the constant is e, a function whose value is a constant increased to the power of the argument.
An exponential function is a function with the form, where b is referred to as the base and x can be any real number, if b is any number such that and.
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It is the morning of the community-wide yard sale that Joe has been anticipating. According to The Weather Channel there is a 10% probability of snow in his area today. Which of the following best describes the most likely way the probability was determined?
Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today.
It snows 10% of the time on this date each year.
Historically, in the United States, it has snowed 10% of the time on days with similar meteorological conditions as today.
Historically, it snows 10% of the days during this month.
Answer:
The answer is A.
Step-by-step explanation:
Lets prove the other ones wrong.
B) It is not based on a day to day prediction, rather days with simmilar conditions before the storm.
C) The United states is too broad an area.
D) It is not based on the ammount of days it snows per month, because on say December 15 it could be 60 degrees and on December 25 it could be 2 degrees. Also you could not make any predictions on a per-day basis then.
So the only clear answer is "Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today."
Lucia is comparing monthly cell phone plans. Each plan will include a total of 6. 5% fees and taxes on the subtotal.
Features Plan A Plan B Plan C
Unlimited talk, text, regular data $52. 00 $50. 00 $48. 00
Unlimited high speed data Included in base price $10. 00 $12. 00
Hotspot $8. 00 Included in base price Not offered
Using the information provided, determine which plan is the least expensive
Answer:
Step-by-step explanation:
Plan C is the least expensive plan, as it has the lowest subtotal of $48.00 plus 6.5% fees and taxes.
