The formula for a permutation is: P(n,r) = n! / (n-r)!
What is Permutations ?
A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}. As you can see, there are no other ways to arrange the elements of set A. The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.
The formula for a permutation is: P(n,r) = n! / (n-r)!
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For two consecutive even integers, the result of sub-
tracting the larger integer from 3 times the smaller
integer is 14. Which of the following is the larger
integer?
Answer:
Step-by-step explanation:
By writing it as 3(n-2) - n = 14 you can solve this to get n=10
You essentially let the bigger even consecutive number equal n, and therefore the smaller even number equals n-2. Three times the smaller even equals 3(n-2) and minus the bigger even number gives 3(n-2) - n which we know equals 14.
So 3(n-2) - n = 14
3n - 6 - n = 14
2n - 6 = 14
2n = 20
n = 10
Which of the following statement is true ?
a) All the rhombuses are squares
b) each square is a parallelogram
c) each parallelogram is a square
d) each trapezium is a parallelogram
The following statement is true is a) All the rhombuses are squares .
Given :
In contrast to a square, the lengths of all four sides of a rhombus are equal, the diagonals of a rhombus bisect each other, and all four angles of a rhombus are not equal to 90 degrees.
Parallelograms are not all squares. Parallelograms have equal length opposite sides, hence squares with all sides equal are parallelograms. Rhombuses are the only kites that fly.
Because a parallelogram contains two pairs of parallel sides, a trapezium is not a parallelogram. A trapezium, on the other hand, has only one pair of parallel sides.
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you can paint a room in 8 hours. working together, you and your friend can paint the room in just 5 hours. How long does it take your friend to paint a room by himself?
It takes about 13.33 hours for the friend to paint a room by himself.
If two persons are working on the same project together, their work rates add up and they can finish the project faster. If x is the time taken by person 1 to complete a task, then the work rate is 1/x. If y is the time taken by person 2 to complete a task, then the work rate is 1/y. Then, the formula to calculate the work-rate problem is [tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{t}[/tex].
Here, the rate of work done by person 1 is 1/8. Together, the rate is 1/5. Then,
[tex]\begin{aligned}\frac{1}{8}+\frac{1}{y}&=\frac{1}{5}\\\frac{y+8}{8y}&=\frac{1}{5}\\5y+40&=8y\\3y&=40\\y&=\frac{40}{3}\\&=13.33\end{aligned}[/tex]
Therefore, the answer is 13.33 hours.
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Problem: Show the equation below with "Gate-Array Logic Circuit"; Equation => x² + 3 x y − 14 =output Explanations: Design a Gate-Array Logic Circuit Inputs X, Y 4-bit numbers and output is 8-bit number. Use AND, OR, XOR, NOT gates. Use Full-Adder circuit.
Answer:
Step-by-step explanation:
A gate-array logic circuit for the equation x² + 3xy - 14 = output could be designed as follows:
First, we need to calculate x² and 3xy. This can be done using AND, OR, XOR, and NOT gates.
Next, we need to add the two values obtained in step 1 using a full-adder circuit.
Finally, we need to subtract 14 from the sum obtained in step 2. This can be done using a subtractor circuit, which is essentially a full-adder circuit with an additional input for the subtrahend (in this case, 14).
Here is a schematic of the gate-array logic circuit:
_______________
| |
X--| AND/OR/XOR/NOT |---x²
Y--| AND/OR/XOR/NOT |---3xy
|_______________|
|
______
| |
x²--| Full |---(x² + 3xy)
3xy--| Adder|
|______|
|
______
| |
(x² + 3xy)--| Sub |---output
14--| tract|
|______|
Note that this is just one possible way to design the circuit, and there may be other ways to achieve the same result.
qualitative research methods are particularly strong in studying the meanings that participants attach to events.
Yes, it's true that the interpretations that participants make of events can be best studied through qualitative research techniques like participant observation or in-depth interviews.
Going into the field without telling every subject of the field research who you are is always unethical. The following are a number of the methodologies normally utilized in qualitative research: Ethnography commonly entails researchers immediately gazing members of their herbal environments over time. A key characteristic of ethnography is the truth that herbal settings, unadapted for the researchers' interests, are used.
A famous and useful categorization separate qualitative strategies into 5 groups: ethnography, narrative, phenomenological, grounded theory, and case study. John Creswell outlines those 5 strategies in Qualitative Inquiry and Research Design. As maximum qualitative information is amassed via interactions with members via the usage of interviews, surveys, questionnaires, or awareness groups, a researcher have to discover members who're inclined to talk approximately their experiences.
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Correct Question:
Qualitative research methods, such as participant observation or intensive interviews, are particularly strong in studying the meanings that participants attach to events. state true or false.
The line y=-4-2 correctly written in standard form is?
Answer:
4x+y=-2
Step-by-step explanation:
y=-4x-2
Write this in standard form:
Ax+By=C ==> C is a constant
First, put x and y on one side of the equation:
y+4x=-4x+4x-2 ==> isolate -2 by adding 4x on both sides
y+4x=-2
4x+y=-2 ==> switch x and y to make the equation in standard form
1. Celia has 6 coins worth 10 cents each and 3 coins worth 25 cents each. If she chooses
two of these coins at random, what is the probability that the two coins combined will
be worth at least 35 cents?
The Total Probability of selecting two coins worth 35 cents at least is 17/36
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
There are two ways of having a sum at least 35 cents
(i) One 10 cent coin and One 25 cent coin
= 6/9 * 3/8 = 1/4
(ii) Both coins of 25 cents
= 2/9
Total Probability = 1/4 + 2/9
Total Probability = 9 + 8 / 36
Total Probability = 17 / 36
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sketch a cylinder with radius 7 feet and height 10 feet, then find the total surface area using the formula
The total surface area is A≈747.7ft²
The area of the two bases and the area of the curved surface are added to determine the cylinder's total surface area. Consequently, the following is the formula for the cylinder's total surface area:
The area of the two bases plus the area of the curved surface equals the cylinder's total surface area. Due to the cylinder's round bases, their combined area will be equal to r2 + r2. We already know that a cylinder's curved surface area is 2rh.
(r2 + r2 + 2rh) is the cylinder's total surface area.
⇒ 2πr² + 2πrh
A=2πrh+2πr²
A=2·π·7·10+2·π·72≈747.69905ft²
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How do I solve this diagram map? Diagram shows the following:
1 - 3
2 - 5
3 - .....?
?..... - 17
10 - ......?
100 - ......?
The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201
Given that,
To complete the map diagram,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,
10th = 21
100th = 2001
For the value 17
17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,
Thus, The complete diagram map has been shown.
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HELP MEEEEEE PLEASE!!!
Which of the following properties apply to all parallelograms?
The following are parallelograms' essential characteristics: The opposing sides are parallel. The opposing parties are in agreement (they have the same length).
What are the four characteristics of a parallelogram?The four most crucial characteristics of a parallelogram are: A parallelogram has two opposed sides that are parallel to one another and have equal measurements. A parallelogram has equal opposite angles. The interior angles of a parallelogram sum to 360°. A parallelogram's subsequent angles should be supplementary (180°).
What shape does a parallelogram take?A quadrilateral having opposite sides that are equal and parallel is called a parallelogram. A parallelogram's opposing angle is also equal. A parallelogram is essentially a twisted rectangle.
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3(4d + 4m+ a + 2c). help
Answer:
12d+12m+3a+6c
Step-by-step explanation:
distribute 3 by multiplying
in general, high scores on the big five factor of ___are associated with less optimal life outcomes.
In general, high scores on the big five factor of Neuroticism are associated with less optimal life outcomes.
Neuroticism is one of the Big Five factors in the study of personality in psychology. Neuroticism is a personality trait characterized by sadness, moodiness, and emotional instability.
High neurotic people frequently experience mood swings, anxiety, impatience, and melancholy. People who score lower on this personality trait tend to be more emotionally stable and resilient. A person may strive to be a perfectionist during their everyday activities, and experience stress as a result of events that are beyond their control.
An individual with neuroticism may choose to concentrate on and dwell on the bad rather than the positive parts of a scenario. When individuals believe they have an advantage over others, they get envious of them and experience jealousy.
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Which of the following are the most likely factors of the function graphed above?
The factors of the function graphed in the given graph is option (C) (x-1)(x+5)
The function is the mathematical statement that shows the relationship between the dependent variable and independent variable
From the given graph
The given graph is a parabola and the equation of the graph will be a quadratic function
x intercepts of the lines are
x = -5 and x = 1
Then to find the factors of the function graphed
x = -5
x + 5 = 0
Similarly the second equation will become
x = 1
x-1 = 0
Then the factors function will be
(x+5)(x-1)
Therefore, the factors are option (C) (x-1)(x+5)
I have solved the question in general, as the given question is incomplete
The complete question is
Which of the following are the most likely factors of the function graphed above?
A. (x+1)(x-5)
B. (x)(x-5)
C. (x-1)(x+5)
D. (x)(x+5)
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If you throw exactly one head in two tosses of a coin you win $9. If not, you pay me $15. Step 2 of 2 : If you played this game 745 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
The probability of success and failure is the same in both cases.
What is a binomial theorem of probability?Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment that has two possible outcomes.
Sample space for throwing (H, H), (H, T), (T, H), (T, T).
So, N(S) = 4.
P(S) = 2/4 = 1/2 and P(F) = 2/4 = 1/2.
The probability of success is [tex]\frac{1}{2}^{(745)}[/tex].
And the probability of loss is also [tex]\frac{1}{2}^{745}[/tex].
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A local school board believes there is a difference in the proportion of households with school-aged children that
would support starting the school year a week earlier, and the proportion of households without school-aged
children that would support starting the school year a week earlier. They survey a random sample of 40 households
with school-aged children about whether they would support starting the school year a week earlier, and 38
households respond yes. They survey a random sample of 45 households that do not have school-aged children,
and 35 respond yes. Let ps the true proportion of households with school-aged children that would support starting
the school year a week early and pw the true proportion of households without school-aged children that would
support starting the school year a week earlier. Which of the following is a correct statement about the conditions for
this test?
O The random condition is not met.
O The 10% condition is not met.
O The Large Counts Condition is not met.
O All conditions for inference are met.
کے
Answer:
pi(r)^2
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
I know because I already did this one
LL GIVE BRAINLY What is the best approximation for the area of a circle with a diameter of 19 meters?
Use 3.14 to approximate pi.
Responses
29.8 m²
59.7 m²
283.4 m²
889.9 m²
The best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².
What is the diameter?
Any straight line segment that cuts through the center of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord. The diameter of a sphere can be defined using either of the two methods.
Here, we have
the area of a circle with a diameter of 19 meters.
By using the area formulas, we get
A = πr²
d = 2r
Solving for A
A = 1/4πd²
= 1/4×π×19²
≈283.52874m²
Hence, the best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².
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6. Which graph shows the following system of equations and its solution?
-x-2y=-4
(5x-y=-13
A graph which shows the system of equations and its solution is graph B.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.
In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
-x - 2y = -4
5x - y = -13
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each, which is given by the ordered pair (-2, 3);
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Find the sector area for the following:
(Use \large \pi=3.14 when necessary and round your final answer to the hundredths.)
Sector Area =
The Area of the given sector is 14.1 yd²
Define Sector of a Circle
A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.
Given,
radius = 6 yd
Angle θ = 45°
The formula for, Sector Area = (θ / 360°) * πr²
Now, plug in the values
Sector Area = (45 / 360) * 3.14 * 6²
= 14.1 yd²
Hence, the Area of the given sector is 14.1 yd²
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Answer: 4.5
Step-by-step explanation:
sector area = 4.5 on 14.143 yd ^2
I’ll give brainliest if correct.
Answer:
58 degrees
Step-by-step explanation:
a - 15 + a + 43 + 36 = 180
2a - 15 + 79 = 180
2a + 64 = 180
2a = 180 - 64
2a = 116
2/2 a = 116/2
a = 58 degrees
The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this information at certain times during a given day. The following temperatures were recorded on a January day in New York City.
Time of Day
10 AM
12 Noon
2 PM
4 PM
6 PM
8 PM
10 PM
Temperature ((Degrees Fahrenheit))
30
35
36
36
34
30
28
What is the average rate of change of temperature with respect to time over the evening hours from 6 PM to 10 PM? Interpret this value in a complete sentence.
a.
6 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 6 degrees per hour from 6 PM to 10 PM.
b.
Negative 6 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 6 degrees per hour from 6 PM to 10 PM.
c.
Negative 1.5 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from 6 PM to 10 PM.
d.
1.5 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from 6 PM to 10 PM.
The average rate of change of the temperature from 6 to 10 pm is given as -1.5. Option C is correct
How to solve for the rate of changeFrom 6 pm to 10 pm we have a total of 4 hours that is in between this period of time.
From the table the temperature at 6 pm is 34, the temperature at 10 pm is 28 degrees
Such that we would have:
[tex]\frac{28-34}{4}[/tex]
= -6 / 4
= - 1.5
Hence we would have that Negative 1.5 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from 6 PM to 10 PM.
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if it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?; a stadium's parking lot can accommodate 7,000 vehicles; a stadium's parking lot can accommodate 5,000 vehicles; virtual business parking sim answers; knowledge matters parking sim answers; what do we call regulations governing how food is prepared and served at stadium concessions?; if it costs $7.50 to park; which is a type of ticket offered at the ballpark?
The amount earned is $79,500, percentage of fans that will be able to park the colour is 20% and the types of meals offered are All-you-can-eat, Two-for-one, Value meals.
First part -
The amount earned in parking 10,600 vehicles = number of vehicles × charge of parking on one vehicle
Keep the values in formula to find the amount earned
The amount earned in parking 10,600 vehicles = 10,600 × 7.5
Performing multiplication
The amount earned in parking 10,600 vehicles = $79,500
Second part -
Number of cars = total number of fans ÷ number of fans in one car
Keeping the values
Number of cars = 70000 ÷ 2
Performing division
Number of cars = 35000
Percentage = number of accomodates vehicles ÷ total number of vehicles × 100
Keep the values
Percentage = 7000 ÷ 35000 × 100
Performing division and multiplication
Percentage = 100/5
Percentage= 20%
Third part -
The type of ticket offered at the ballpark is All-you-can-eat, Two-for-one, Value meals.
Hence, the answers are $79,500, 20% and All-you-can-eat, Two-for-one, Value meals.
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The correct question is -
if it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?
A stadium's parking lot can accommodate 7,000 vehicles. What percentage of tonight's 70,000 fans will be able to park in the stadium lot if they arrive two fans per car?
Which is a type of ticket offered at the ballpark?
All-you-can-eat, Two-for-one, Value meals
PLEASE HELP!!Determine whether the events A and B are independent.
Eight friends are drawing straws. The one who picks the short straw must cook dinner for the others.
Event A: The first person does not pick the short straw
Event B: The second person picks the short straw
A. No
B. Yes
No, the events A and B are not independent because the two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.
In the given question, eight friends are drawing straws. The one who picks the short straw must cook dinner for the others.
We have to determine whether the events A and B are independent.
Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.
The two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.
Hence, the events A and B are not independent.
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tensile strength is the amount of stress a material can withstand before it breaks. researchers wanted to determine the tensile strength of a resin cement used in bonding crowns to teeth. the researchers bonded crowns to 72 randomly selected extracted teeth. using a tensile resistance test, they found the mean tensile strength of the resin cement to be 242.2 newtons (n), with a standard deviation of 70.6 n. (Source: Simonides Consani et al., "Effect of Cement Types on the Tensile Strength of Metalic Crowns Submitted to Thermocycling," Brazilian Dental Journal 14(3), 2003)
(a) Verify that the requirements for constructing a confidence interval for µ are satisfied.
(b) Based on the sample statistics, construct a 90% confidence interval for the mean tensile strength of the resin cement. Interpret this interval.
(c) How many extracted teeth with the resin cement bonding should be tested to estimate the mean tensile strength within 10 newtons with 90% level of confidence. Show calculations
The mean tensile strength of the resin cement is between 228.35 and 256.04
Given, a researcher's bounded crowns to 72 extracted teeth.
n = 72, the mean tensile strength of the resin cement, = 242.2 newtons
The standard deviation, s = 70.6 newton
90% confidence interval for if the sample size n is 72.
mean = t (8/√n)
Where, α = 0.1 and α/2 = 0.05, (n-1) degrees of freedom = 71
242.2 ± t (8/√n)
242.2 ± 1.664 (8.320)
(228.355 , 256.04)
Lower bound = 228.35N , Upper bound = 256.04N.
Therefore, the Researcher’s are 90% confident level that the mean tensile strength of the resin cement is between 228.35 and 256.04
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An airplane is flying on a compass heading (bearing) of 170° at 460 mph. A wind is blowing with the
bearing 200° at 80 mph.
a. Find the component form of the velocity of the airplane.
b. Find the actual ground speed and direction of the airplane
(a) The component form of the velocity of the airplane is (-453.01 i + 79.88 j) mph.
(b) The actual ground speed and direction of the airplane is 392.76 mph and 30 degrees respectively.
What is the component form of the velocity of the airplane?
The component form of the velocity of the airplane is calculated as follows;
Vy = V sinθ
Vx = V cosθ
where;
Vy is the vertical component of the velocity of the airplaneVx is the horizontal component of the velocity of the airplaneV is the speed of the airplaneθ is the angle of the speedVy = 460 mph x sin (170 - 90) = 79.88 mph
Vx = 460 mph x cos (170) = -453.01 mph
The bearing of the two speeds forms a triangle and the angle of the triangle is calculated as follows;
θ = θ₁ + θ₂
θ = (180⁰ - 170⁰) + (200⁰ - 180⁰)
θ = 30⁰
The resultant speed of the airplane is calculated as follows;
Vr² = V₁² + V₂² - 2(V₁)(V₂) cos(θ)
Vr² = (460²) + (80²) - 2(460 x 80) x cos(30)
Vr² = 154,260.53
Vr = √(154,260.53)
Vr = 392.76 mph
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What is a parallelogram with all sides of equal length without any right angles?; What is the name for any parallelogram with all sides equal?; Is a trapezoid a parallelogram?; Is a parallelogram a rectangle?
A rhombus is a quadrilateral with 4 equal sides. A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
Rhombus
A rhombus is a closed two-dimensional plane figure. It is considered a special parallelogram, and because of its unique properties, it gets an individual identity as a quadrilateral. A rhombus is also called an equilateral quadrilateral since all of its sides are equal in length. The term ‘rhombus’ has been derived from the ancient Greek word ‘rhombos', which actually means something that spins
given that
a parallelogram with all sides of equal length without any right angles
A rhombus is a quadrilateral with 4 equal sides. A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
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A penny is flipped, and 2 balls are drawn without replacement from a bag which contains 3 red balls, 4 blue balls, 1 white ball, and 2 green balls.Part A: Draw the tree diagram for the above compound experiment:Part B: List the sample space for this compound experimentPart C: Compute the probabilities for each simple event listed.Part D: What is the probability of D?D = {The 2nd ball drawn is green}Part E: E = { A head is flipped on the penny}Use list notation to describe this set.
Answer:
The Tree diagram here is given as: {HRR,HRB,HRW,HRG,HBB,HBW,HBG,HWG,HGG,TRR,TRB,TRW,TRG,TBB,TBW,TBG,TWG ,TGG}
Sample space for the compound experiment is : {HRR,HRB,HRW,HRG,HBB,HBW,HBG,HWG,HGG,TRR,TRB,TRW,TRG,TBB,TBW,TBG,TWG ,TGG}
Probability of 2nd ball drawn is green = 8/18=4/9
Probability of a head is flipped on the penny = 9/18=1/2
Step-by-step explanation:
Part A tree diagram: Document attached below
Part B:
Sample space for the compound experiment is : {HRR,HRB,HRW,HRG,HBB,HBW,HBG,HWG,HGG,TRR,TRB,TRW,TRG,TBB,TBW,TBG,TWG ,TGG}
N(s)=18
Part c:
A=Choosing Head
P(A)=n(a)/n(s)
P(A)= 1/18
B= Choosing tail
P(B)=n(B)/n(s)
P(B)= 1/18
c=Choosing red balls
P(C)=n(C)/n(s)
P(C)= 3/18=1/6
D= Choosing blue balls
P(D)=n(D)/n(s)
P(D)= 4/18=2/9
E=Choosing white balls
P(E)=n(E)/n(s)
P(E)= 1/18
F = Choosing green balls
P(F)=n(F)/n(s)
P(F)= 2/18=1/9
Part D:
Probability of 2nd ball drawn is green = 8/18=4/9
Part E:
Probability of a head is flipped on the penny = 9/18=1/2
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Solve the problem.
The formula P = 14.7e-0.21x gives the average atmospheric pressure, P, in pounds per square inch, at an altitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles. Round your answer to the nearest tenth.
A) 9.1 lb/in.²
B) 8.4 lb/in.²
C) 11.0 lb/in.²
D) 7.8 lb/in.²
Answer: 9.1 lb/in.^2
Step-by-step explanation:
To begin, plug in your X value to get P=14.7e^(-0.21(2.3)).
With this you can solve for P=9.1 lb/in.^2
A researcher is testing a null hypothesis stating that for the general population there is no preference between the two leading brands of cola In a sample of n = 100 people, 35 preferred brand A and 65 preferred brand B. Assuming that the researcher uses a two-tailed test, what is the appropriate statistical decision? Select one: a. Fail to reject the null hypothesis with either a-05 or a-01. b. No decision is possible without additional information c. Reject the null hypothesis with a - but not with a = 01. d. Reject the null hypothesis with either 05 ora 01
The appropriate statistical decision that researcher should use is that (d) Reject the null hypothesis with either a = 0.05 or a = 0.01
The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.
Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not.
According to the null hypothesis, there is no relationship between the independent variable and the measured event (the dependent variable). To test the null hypothesis, we don't have to think it's accurate. In contrast, you can suppose that a group of variables (dependent and independent) are connected.
According to the question ,
A researcher is testing a null hypothesis stating that for the general population there is no preference between the two leading brands of cola In a sample of n = 100 people, 35 preferred brand A and 65 preferred brand B.
The appropriate statistical decision is (d) Reject the null hypothesis with either a = 0.05 or a = 0.01
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f(x)=-3x+3; Find f(8)
Answer:
f(8)= - 3 × 8 + 3
f(8) = - 21......
