Quantitative research is the procedure of gathering and performing a numerical analysis. It can be used to identify trends and averages, formulate hypotheses, examine causality, and extrapolate findings to larger population.
Statistical methods involved in carrying out a study include planning, designing, collecting data, analysing, drawing meaningful interpretation and reporting of the research findings.
Quantitative research collects information from existing and potential customers using sampling methods and sending out online surveys, online polls, and questionnaires, for example. One of the main characteristics of this type of research is that the results can be depicted in numerical form.
An unofficial relationship is mentioned in a theory. If the frequency of winning is correlated with the frequency of purchasing lottery tickets, for instance. "Then" is followed by a forecast of what will happen if you buy lottery tickets more frequently or less frequently.
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according to the u.s. census bureau, 5% of americans age 25 or older had completed a bachelor's degree or higher in 1940. write this percent as a ratio and do not simplify.
5% as a ratio not in simplified form is 5/100 or 5:100.
To write a percent as a ratio, we can divide it by 100 and express the result as a fraction. For example, 5% can be written as 5/100.
So, according to the U.S. Census Bureau, 5% of Americans age 25 or older had completed a bachelor's degree or higher in 1940 can be written as a ratio as:
= 5/100
This fraction represents the ratio of Americans age 25 or older who had completed a bachelor's degree or higher in 1940 to the total number of Americans age 25 or older.
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myra can type 70 words in 2 min. how many words can she type in 5 min
Answer:
first convert 2mins to seconds
60sec=1 min
which is 2×60=120sec
then70/120sec=0.583
convert 50mis to sec
5×60=300sec
so therefore 300sec×0.583=174.9words
HOPE IT HELPS
Answer: 175 words
Step-by-step explanation:
First start out by dividing how many amount (5 min) you are looking for by the amount (2 min) that we already know.
5 / 2 = 2.5
This gives us the key to finding our final answer.
Use this new number (2.5) and multiply it by 70 to get our answer.
70 x 2.5 = 175
a company starts to track the number of phone calls received
Answer:
pls give more detail
Step-by-step explanation:
Antonia visits the park every 6 days and goes to the library every 7 days. If Antonia does both of these today, how many days will pass before Antonia gets to do them both on the same day again?
Antonia will have to wait 42 days before she gets to do both activities on the same day again.
The smallest positive integer that is a multiple of both 6 and 7 is the least common multiple (LCM) of 6 and 7. This is the number of days that will pass before Antonia does both of these activities on the same day again.
We can find the LCM of 6 and 7 using the formula as follows -
LCM(6, 7) = 6 * 7 / GCD(6, 7)
where GCD is the greatest common divisor.
The GCD of 6 and 7 is 1, so we can write -
LCM(6, 7) = 6 * 7 / 1 = 42
Therefore, Antonia will have to wait 42 days before she gets to do both activities on the same day again.
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g what is the root-mean-square speed (urms) of a co2 molecule that has an average ke of 5.44 x 10-21 j/molecule?
The root mean square speed of a carbon dioxide molecule at mentioned average kinetic energy is 1.57× [tex] {10}^{-11} [/tex].
The formula to find root mean square speed of carbon dioxide molecule using average kinetic energy is as follows -
c = ✓2KE/m, where c is root mean square speed, KE is kinetic energy and m is molecular mass
Keep the values in formula to find the root mean square speed.
c = ✓2×5.44×[tex] {10}^{-21} [/tex]/44
Performing multiplication and division on Right Hand Side of the equation
c = ✓2.47×[tex] {10}^{-22} [/tex]
Taking square root on Right Hand Side of the equation
c = 1.57× [tex] {10}^{-11} [/tex]
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(3+4x-2)4 2/7
please help or my mom said she was going to put me up for adoption which i don't care for i just want to get this work done
The value of x in expression is -1/8.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
(3+4x-2)4 2/7=0
(3+4x-2)16/7=0
48+64x-32=0
x=-1/8
Therefore, the answer of given algebra problem will be -1/8.
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Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠A1 is smaller than ∠A2.)
b = 121, c = 162, ∠B = 48°
The values of triangle ABC are
< A = 47.8 < C = 84.2a = 120.6How to find the angels in triangle ABCThe angles in triangle ABC is calculated using the sine rule which sates that the ratio of a side and the opposite angles are equal to each other
This represented by the formula
Sine A / a = Sine B / b = Sine C / c
applying the formula for the problem
Sine B / b = Sine C / c
Sine 48 / 121 = Sine C / 162
cross multiplying
Sine C = 162 * Sine 48 / 121
Sine C = 0.99495
C = arc sine (0.99495)
C = 84.2
Applying sum of angles in a triangle
< A + < B + < C = 180
< A + 48 + 84.2 = 180
< A = 180 - 48 - 84.2
< A = 47.8 degrees
side a
Sine A / a = Sine B / b
Sine 47.8 / a = Sine 48 / 121
121 * sine 47.8 / Sine 48 = a
a = 120.6
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please help me to find this!!!!!!
ASAP.............
9x _ 7i ≥ 3 ( 3x _7u )
Step-by-step explanation:
9x-7i > 3(3x-7u)
-9x-7i > 9x-21u
-7i > -21u
-i > -3u
i < 3u
The surface of the area of a cylinder is 372pi square centimeters the radius is 6 cm what is the height of the cylinder
If the surface of the area of a cylinder is 372π square centimeters. Then the height of the cylinder is 31 centimeters.
What is the surface area of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the surface area of the cylinder will be given as,
SA = 2πrh square units
The surface of the area of a cylinder is 372π square centimeters the radius is 6 cm. Then the height of the cylinder is given as,
SA = 2πrh
372π = 2π x 6 x h
h = 372 / 12
h = 31 centimeters
The height of the cylinder is 31 centimeters.
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18. Pilihan ganda30 detik1 ptQ. Year Consumption (million barrels per day)1986 621987 631988 651989 661990 661991 671992 671993 671994 681995 701996 721997 74What was the approximate percent increase in consumption from 1986 to 1997?Pilihan jawaban10%20%30%50%80%
The approximate percent increase in consumption from 1986 to 1997 is:
B. 20%
What is the percentage increase in consumption?The initial consumption level for the year, 1986 is 62 million barrels per day and by 1997, the percent increase in consumption shot up to 74 million barrels per day.
When we subtract the latter consumption levels from the former, we will have a total of 12 million barrels per day. So, the percentage increase will be:
12 million barrels per day/ 62 million barrels per day × 100
= 19.35 %
Thus, we can arrive at the conclusion that the total consumption levels per day increased by 19.35%, which is approximately 20%.
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What is the rate of change
The rate of change of the table is 3
How to calculate the rqte of change of the table?From the question, we have the following parameters that can be used in our computation:
The table of values
On the table, we have the following ordered pairs
(9, -6) and (11, -12)
The rate of the table is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (9, -6) and (11, -12)
Substitute the known values in the above equation
So, we have the following equation
Slope = (-12 + 6)/(11 - 9)
Evaluate
Slope = -3
Hence, the rate of the table is -3
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please help ME EMERGENCY~
The amount that the salesperson will earn in commission from selling the couch is $ 27. 23.
The amount the sale of the couch by the store would get it is $ 467. 77.
How to find the commission ?The commission on the couch can be found by the formula :
= Selling price of couch x Commission to salesperson
= 495 x 5 . 5 %
= $ 27. 23
The money the store will get from the sale of the couch to Lin and her dad is:
= Selling price of couch - Commission to salesperson
= 495 - 27. 23
= $ 467 . 77
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The full question is:
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price.
A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 40 N acts on a certain object, the acceleration of the object is 4 m/s^2. If the acceleration of the object becomes 9 m/s^2, what is the score?
Answer:
Step-by-step explanation:
We can use the proportionality relationship between force and acceleration, which is given as:
force = constant × acceleration
Let's call the constant of proportionality k. Then we can write:
40 N = k × 4 m/s^2
Solving for k, we get:
k = 40 N / 4 m/s^2 = 10 Ns^2/m
Now we can use this value of k to find the force required for an acceleration of 9 m/s^2:
force = k × acceleration = 10 Ns^2/m × 9 m/s^2 = 90 N
Therefore, the force required for an acceleration of 9 m/s^2 is 90 N.
turn − 5/7 and 8 into a quadratic equation
Answer:
To turn -5/7 and 8 into a quadratic equation, we first need to convert 8 into an equation by adding 8 to both sides. The equation becomes: -5/7 = x^2 + 8. Then, we can expand the right side into a complete square, using the formula (b/2)^2. The equation becomes:
-5/7 = (x^2 + 8) + (4/2)^2
-5/7 = x^2 + 8 + 4
-5/7 = x^2 + 12
Finally, we can rearrange the equation to make the right side equal to 0, and then factor it. The final equation is:
x^2 + 12 + 5/7 = 0
x^2 + 12 + 5/7 = (x + 6/√7)(x + 6/√7) = 0
Step-by-step explanation:
In the first step, we added 8 to both sides to make the equation -5/7 = x^2 + 8. In the next step, we added 4 to the right side to complete the square. The purpose of completing the square is to get a perfect square on the right side, which will make it easier to factor the equation.
Next, we rearranged the equation to make the right side equal to 0, so that we can factor the equation. The equation x^2 + 12 + 5/7 = 0 can be factored as (x + 6/√7)(x + 6/√7) = 0, where (x + 6/√7) is a binomial that satisfies the equation.
PLEASE HELP WHAT TYPE OF FUNCTION
the given function y = 3(4)ˣ, is an exponential function.
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
Given a function y = 3(4)ˣ
An exponential function is defined by the formula f(x) = a, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form
f(x) = aˣ
therefore, we can say that the given function is an exponential function.
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In a group, 40% of the items are red. Of all the red items in the group, 30% also have stripes. What percentage of the items in the group are red and have stripes?
Answer:
12% of the items in the group are red and have stripes.
Step-by-step explanation:
Aassume that there is 100 items, 40 items red.
In the 40 items, 30% are striped.
40×(30/100)=12%
12% of the items in the group are red and have stripes. This is found by multiplying the proportion of red items (40%) by the proportion of these red items that also have stripes (30%).
Explanation:We are given that 40% of items in a group are red. This is represented as 40/100, or 0.40. The question mentions that out of these red items, 30% also have stripes. This can be represented as 30/100, or 0.30. The question requires us to find out what percentage of the total items in the group are red and have stripes. To find this, we multiply 0.30 (the proportion of red items that are striped) by 0.40 (the proportion of items that are red).
So, 0.30 x 0.40 = 0.12 or 12%.
Therefore, 12% of the items in the group are red and have stripes.
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• On Dec. 9, Rick worked from half past seven o'clock a.m. to half past four o'clock p.m. He took a half-hour lunch break.
On Dec. 10, Rick worked from seven o'clock a.m. to half past four o'clock p.m. He took a half-hour lunch break.
On Dec. 11, Rick worked from half past eleven o'clock a.m. to five o'clock p.m. He did not take a lunch break.
•
On Dec. 12, Rick worked from half past seven o'clock a.m. to half past five o'clock p.m. He took a one-hour lunch break.
• On Dec. 13, Rick worked from half past seven o'clock a.m. to seven o'clock p.m. He took a one and a half-hour lunch break.
On Dec. 14, Rick worked from eight o'clock a.m. to five o'clock p.m. He took a one and a half-hour lunch break.
On Dec. 15, Rick did not work.
The timesheet of Rick's working hours is given below.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
From the given data points of Rick's working hours:
Date Start Time End Time Time away Regular hours
Dec. 9, 7:30 am 4:30 pm 30 minutes 8.5
Dec. 10, 7:00 am 4:30 pm 30 minutes 8.5
Dec. 11, 11:30 am 5:00 pm - 5.5
Dec. 12, 7:30 am 5:30 pm 60 minutes 9
Dec. 13, 7:30 am 7:00 pm 90 minutes 10
Dec. 14, 8:00 am 5:00 pm 90 minutes 4.9
Dec. 15, - - - -
Therefore, the timesheet is given.
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The complete question:
Make a timesheet for the following dates and times: Dec. 9, Rick...
Make a timesheet for the following dates and times:
Dec. 9, Rick worked from 7:30am to 4:30 p.m. He took a 30 min lunch break
Dec. 10, Rick worked from 7 am to 4:30 p.m. He took a 30 min lunch break
Dec. 11, Rick worked from 11:30 am to 5:00 p.m. He didn't take a lunch break
Dec. 12, Rick worked from 7:30 am to 5:30 p.m. He took an hour lunch break
Dec. 13, Rick worked from 7:30 am to 7:00 p.m. He took an hour and a half lunch break
Dec. 14, Rick worked from 8 am to 5 p.m. He took an hour and a half lunch break
Dec. 15, Rick did not work.
Which situation can be represented by the equation x + 14 = 25?
The situation that can be represented using the equation x + 14 = 25 is
illustrated below.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
Given an equation x + 14 = 25.
A situation can be represented as,
Joy and John are two friends, Joy has 14 chocolates, and together they have a total of 25 chocolates, How many chocolates John has?
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32. Solve the equation and check your solution: 3(x + 6) = 18 + 3x
Answer:
4
Step-by-step explanation:
18 = 3x + 6
18 - 6 = 3x
12=3x
12/3 = x
4 = x
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D) If fx)=-x-11; find the following
1) 4f(-2) +5f(1) =
3) -5f12)-2f-9) =
2) 3f(5) x (2)
4)f(9)/f(-6)=
Pls I need help quick
To find 4f(-2) + 5f(1), we need to first find the values of f(-2) and f(1). Using the given equation, we have:
An easy definition of a function
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
f(-2) = -(-2) - 11 = 9
f(1) = -1 - 11 = -12
So, 4f(-2) + 5f(1) = 4 * 9 + 5 * -12 = 36 - 60 = -24.
To find 3f(5) * 2, we need to first find the value of f(5). Using the given equation, we have:
f(5) = -5 - 11 = -16
So, 3f(5) * 2 = 3 * -16 * 2 = -96
To find -5f(12) - 2f(-9), we need to first find the values of f(12) and f(-9). Using the given equation, we have:
f(12) = -12 - 11 = -23
f(-9) = -(-9) - 11 = 2
So, -5f(12) - 2f(-9) = -5 * -23 - 2 * 2 = 115 + 4 = 119
To find f(9)/f(-6), we need to first find the values of f(9) and f(-6). Using the given equation, we have:
f(9) = -9 - 11 = -20
f(-6) = -(-6) - 11 = 5
So, f(9)/f(-6) = -20 / 5 = -4.
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use point slope form to write the equation of a line that passes through the point (17,-7) with slope - 1/2
Answer:
y + 7 = -1/2 ( x - 17)
Step-by-step explanation:
y-y₁=m(x-x₁)
[tex]x_{1\\} = 17[/tex]
[tex]y_{1}[/tex] = -7
y - (-7) = -1/2(x - 17)
y + 7 = -1/2(x -17)
Find the volume of a cone with a base diameter of 8 cm and a height of 6 cm .
Use the value 3.14 for π, and do not do any rounding.
Be sure to include the correct unit in your answer.
The volume of a cone with a diameter of 8 cm and a height of 6 cm is
100.48 cm³.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
Given, The height of the cone is 6 cm.
Also given the diameter of the base 2r = 8 cm hence r = 4 cm.
Therefore, The volume of this cone is,
= (1/3)π(4)²×6 cm³.
= 32π cm³.
= 100.48 cm³
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The line with equation a + 2b = 0 coincides with the terminal side of an angle θ in standard position and cos θ<0. What is the value of sinθ?
The value of sin( tetha) is -2/√5
What is intersection value?Point of intersection is the point where two lines meet.
a+2b = 0 can be related to x+2y = 0
Line x + 2y = 0 is end side of angle θ and cos θ < 0 means x < 0. Line is y = -x/2, slope -1/2 and the Line intersects unit circle when :
b = -1/2 a
therefore the slope is -1/2
Line intersect unit circle when:
x²+y² = 1
a²+b² = 1
a² +( - 1/2a)² = 1
a²+ a²/4 = 1
5a²/4 = 1
a² = 4/5
a = √ 4/5
the value of sin(tetha) at the point of intersection is y
y = -1/2a
y = -1/2√4/5
y = -2/√ 5
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prove that if a sequence converges it has exactly one limit point. is the converse true? prove it or give a counterexample.
The counterexample proves that the converse of the theorem is not always true, and we have to be careful when making statements about limit points and convergence of sequences.
A sequence is a set of numbers that are generated one after the other in a specific pattern.
The theorem states that if a sequence converges, it will have exactly one limit point. In other words, if a sequence is getting closer and closer to a certain number, there will be only one number that it approaches. This is a fundamental idea in mathematics, and it is important to understand why it is true.
To prove this theorem, let's consider a sequence (a_n) that converges to a limit L. If there were two different limit points, say L1 and L2, then there would be a contradiction. This is because by definition, the sequence (a_n) would be getting closer and closer to L1 and L2 at the same time, which is not possible. Hence, it must be true that the sequence (a_n) has exactly one limit point, L.
The converse of this theorem is not always true. In other words, just because a sequence has exactly one limit point, it doesn't necessarily mean that it converges to that limit. To see why this is the case, let's consider the following sequence:
(2, 3, 4, 5, 6, ...)
In this sequence, the limit point is 6. However, the sequence does not converge to 6 because it is not getting closer and closer to 6 as it goes on. Instead, it is increasing by 1 with each term, and therefore it does not converge.
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Are the domain and range of function F? F(x)=x-6\x^2-3x-18
Answer:
domain: all x except -3, 6range: all y except 0, 1/9Step-by-step explanation:
You want the domain and range of the function ...
F(x) = (x -6)/(x² -3x -18)
DomainWe can simplify the function to ...
[tex]F(x) = \dfrac{x-6}{x^2-3x-18}=\dfrac{x-6}{(x-6)(x+3)}\\\\F(x)=\dfrac{1}{x+3}\quad x\notin\{-3,6\}[/tex]
The domain is the set of x-values for which the function is defined. It is undefined where the denominator is zero. So, x=-3 and x=6 are excluded from the domain, which would otherwise be all real numbers.
RangeThe range is the set of values that the function may have. Here, the function can have any y-value except 0 (the value of the horizontal asymptote), and 1/9, the location of the "hole" at x=6.
The range is all real numbers except 0 and 1/9.
Travelling to America, Jenny received 88 cents American for each Australian dollar. When she returned from America, she had n American dollars. What is this amount equivalent to in Australian dollars?
Answer:
Australian dollar = n * 100 / 88
Step-by-step explanation:
n = American dollars
1 Australian dollar = 88 cents American
Julia downloaded a 22 MB file in 5 seconds on her tablet. Later she downloaded a 30 MB file on her smart phone in 6 seconds. Are these rates equivalent? Explain your reasoning.
22 MB in 5 seconds
how many MB per second
divide the 5 out
22/5 = 4.4 MBPS
30 MB in 6 seconds
30/6 = 5 MBPS
5 MBPS > 4.4 MBPS
No, they aren't equivalent because one is greater than the other.
Hope this helps,
- Jeron :- )
Charlie has a utility function U(A, B) = AB, the price of apples is $1, and the price of bananas is $2. If Charlie’s income were $120, how many units of bananas would he consume if he chose the bundle that maximized his utility subject to his budget constraint? * 1 point a. 30 b. 15 c. 60 d. 6 e. 90
Charlie's utility function is given by U(A, B) = AB, where A is the number of apples he consumes and B is the number of bananas he consumes. The price of apples is $1, and the price of bananas is $2.
If Charlie's income is $120, he has a budget constraint given by:
1A + 2B = 120
To maximize his utility subject to this budget constraint, Charlie must use his income to purchase the combination of apples and bananas that gives him the greatest value of U(A, B).
The solution to this problem can be found by using the method of Lagrange multipliers. From the budget constraint, we can solve for A in terms of B:
A = 120 - 2B
Substituting this into the utility function, we have:
U(B) = (120 - 2B)B = 120B - 2B^2
To maximize U(B), we must find the value of B that maximizes this expression. Taking the derivative of U(B) with respect to B and setting it equal to zero, we find that:
dU/dB = 120 - 4B = 0
Solving for B, we find that:
B = 30
Thus, if Charlie chose the bundle that maximizes his utility subject to his budget constraint, he would consume 30 units of bananas. The answer is therefore a. 30.
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A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 8 above 10 to 19, up to 6 above 20 to 29, up to 2 above 30 to 39, and up to 2 above 50 to 59. There is no shaded bar above 40 to 49.
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 22.7 is the most accurate to use to show that they have plenty of money.
The mean of 20 is the most accurate to use to show that they need more money.
The median of 20 is the most accurate to use, since the data is skewed.
The mean of 22.7 is the most accurate to use, since the data is skewed.
Answer: C. The most accurate measure of center to represent the data in this case is the median of 20.
Step-by-step explanation: The median is the middle value in a dataset when the data is arranged in ascending or descending order. In this case, the donations are: 10, 10, 10, 10, 15, 15, 15, 19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55.
When we arrange these values in ascending order, we get: 10, 10, 10, 10, 15, 15, 15, 19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55.
The median is the value that separates the dataset into two equal halves. In this case, there are 18 values, so the middle value is the 9th value, which is 20.
The reason the median is the most accurate measure of center to use in this case is because the data is skewed. Skewness refers to the asymmetry in the distribution of data. In this case, the data is skewed to the right because there are a few large values (55) that pull the mean higher than the majority of the values.
Using the mean, which is calculated by summing all the values and dividing by the total number of values, would be influenced by these large values and may not accurately represent the typical donations received by the charity.
Here are 2 polygons. Select all sequences of translations, rotations, and reflections below that would take polygon P to polygon Q
The sequences of translations, rotations, and reflections bthat would take polygon P to polygon Q will be:
C Translate so that Ais taken to J. Then reflect over line BA
E Reflect over line BAand then translate by directed line segment BA.
What is translation?A function is translated when it is moved from where it was before. In geometry, a function that moves an object a specific distance is referred to as translation. Nothing else is done to change the object.
It is not scaled, reflected, rotated, or refracted. Every point of the object must be translated by the same amount and in the same direction.
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