The statement based on sample size representing true characteristics of qualitative methodology are smaller sample size, qualitative research and theoretical research of qualitative data.
Some general statements about sample size in qualitative methodology are as follow,
Qualitative research typically involves smaller sample sizes than quantitative research.
The sample size in qualitative research is not determined by statistical power calculations.
But rather by theoretical saturation and the quality of data collected.
The goal of qualitative research is to gain a deep understanding of the phenomenon being studied.
Rather than to generalize findings to a larger population.
Qualitative research often involves purposive or convenience sampling rather than random sampling.
All of these statements are generally true characteristics of qualitative methodology.
If any statement contradicts one of these characteristics,
Then that statement would not be true for qualitative methodology.
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The given question is incomplete, I answer the question in general according to my knowledge:
Write all the statement related to sample size representing true characteristics of qualitative methodology except for which of the following?
Find the zeros of the function.
y = (x + 1)(x-2)(x - 5)
The zero(s) of the function are
(Use a comma to separate answers as needed.)
PLEASEEE HELPPPP!!!!! ASAP!
King and his friend went to a restaurant for dinner. King ordered a half pound burger and a milkshake. The burger contained 25 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calories diet is 62 grams, what percent of the daily allowance did King have when he ate his burger? Show your work and round to the nearest tenth.
Answer:
40.3%
Step-by-step explanation:
You want to know the percentage of a 62 gram allowance of fat is represented by a burger with 25 grams of fat.
PercentageThe fraction can be converted to a percentage by multiplying by 100%.
burger/allowance = (25 g)/(62 g) × 100% = 40.3%
King has 40.3% of his daily allowance for fat when he ate his burger.
In a small town 50% of 2 story homes own computers and 35% of one story homes own computers. In dawn's neighborhood 75% of homes are 2 story. What is the probability that a two story home in dawn's neighborhood owns a computer
To solve this problem, we can use Bayes' theorem. Let's define:
- A: two story home
- B: owning a computer
We want to find the probability of B given A, which we can write as P(B|A). Using Bayes' theorem, we have:
P(B|A) = P(A|B) * P(B) / P(A)
We know that 50% of two story homes own computers, so P(B) = 0.5. We also know that 75% of homes in Dawn's neighborhood are two story, so P(A) = 0.75.
To find P(A|B), we need to use the conditional probability formula:
P(A|B) = P(A and B) / P(B)
We don't have the probabilities for A and B happening together, but we know that:
P(A and B) = P(B|A) * P(A)
Substituting this into the conditional probability formula gives:
P(A|B) = (P(B|A) * P(A)) / P(B)
Putting all the values together, we get:
P(B|A) = (P(A|B) * P(B)) / P(A)
= ((P(B|A) * P(A)) / P(B)) * P(B) / P(A)
= (P(B and A) / P(B)) * P(B) / P(A)
= P(A and B) / P(B)
Substituting the values gives:
P(B|A) = (0.5 * 0.75) / 0.5
= 0.75
Therefore, the probability that a two story home in Dawn's neighborhood owns a computer is 0.75.
What is 0.35+0.4 show your work
Answer:
0.75
Step-by-step explanation:
0.4 = 0.40
Add 0.40 + 0.35 = 0.75
The sum of three numbers is 70 . The third number is 2 times the first. The first number is 6 less than the second. What are the numbers?
Answer:
16, 22, and 32.
Step-by-step explanation:
Set up a system of equations to represent the situation with 3 unknown.
x + y + z = 70
z = 2x
x = y - 6 → y = x + 6
The second two equations are the y and z in terms of x, so substitute both into the first equation.
x + (x + 6) + 2x = 70
4x + 6 = 70
4x = 64
x = 16
Use this number to calculate the value of the other unknowns.
y = x + 6
y = 16 + 6
y = 22
Calculate z.
z = 2x
z = 2(16)
z = 32
So, the three numbers are 16, 22, and 32.
here are the factors of sixteen and twenty. click the factors that are common to both numbers. (choose 3)
The common factors of sixteen and twenty are 1, 2, and 4.
The factors of sixteen are 1, 2, 4, 8, and 16. The factors of twenty are 1, 2, 4, 5, 10, and 20. The factors that are common to both numbers are 1, 2, and 4.
To calculate the factors of sixteen, we can start by dividing sixteen by two until we cannot divide any further. We can start with sixteen divided by two, which equals eight. Eight divided by two equals four. Four divided by two equals two. Two divided by two equals one. As we can see, the factors of sixteen are 1, 2, 4, 8, and 16
To calculate the factors of twenty, we can start by dividing twenty by two until we cannot divide any further. We can start with twenty divided by two, which equals ten. Ten divided by two equals five. Five divided by two equals two. Two divided by two equals one. As we can see, the factors of twenty are 1, 2, 4, 5, 10, and 20.The common factors of sixteen and twenty are 1, 2, and 4. This can be determined by comparing the two lists of factors. As we can see, 1, 2, and 4 are present in both lists.
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Complete question
What are the common factors of sixteen and twenty ?
Order the given steps for the perpendicular bisector construction of the segment below.
The steps for the perpendicular bisector construction when ordered are :
Label the endpoints of the segment A and B.Draw circle A: center A, radius AB, and circle B: center B, radius BA.Label the points of intersections as C and D.Draw line CD, which is the perpendicular bisector of segment AB.How to bisect the segment ?Identify the two endpoints of the given segment AB and labeling them as A and B. This is important for the subsequent steps of the construction. Then draw two circles: one centered at A with a radius equal to the length of AB, and the other centered at B with a radius equal to the length of BA (which is the same as AB).
The two circles drawn in Step 2 intersect at two points. These points are labeled as C and D. Note that these points are equidistant from A and B, since they lie on the circles with radii AB and BA.
Finally, we draw a line through points C and D. This line is the perpendicular bisector of the segment AB, meaning it intersects AB at its midpoint and is perpendicular to AB.
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In 2016, the CDC estimated the mean weight of U.S. women over the age of 20 years old was 168.5 pounds with a standard deviation of 68 pounds.
What is the expected mean for a sample of 150 women?
What is the standard deviation of the mean for a sample of 150 women?
What is the probability of 150 women having a sample mean below 160 pounds?
What is the probability of 150 women having a sample mean above 175 pounds?
What is the probability of 200 women having a sample mean below 160 pounds? Notice the change in sample size.
What is the probability of 200 women having a sample mean above 175 pounds?
Answer:
Notice the change in sample size.
Answer:
1. The expected mean for a sample of 150 women is 168.5 pounds.
2. The standard deviation of the mean for a sample of 150 women is 6.8 pounds.
3. The probability of 150 women having a sample mean below 160 pounds is 0.0849.
4. The probability of 150 women having a sample mean above 175 pounds is 0.0305.
5. The probability of 200 women having a sample mean below 160 pounds is 0.0434.
6. The probability of 200 women having a sample mean above 175 pounds is 0.0153.
The solution is given below. Notice the change in sample size.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
In 2016, the CDC estimated the mean weight of U.S. women over the age of 20 years old was 168.5 pounds with a standard deviation of 68 pounds.
so. we get,
1. The expected mean for a sample of 150 women is 168.5 pounds.
2. The standard deviation of the mean for a sample of 150 women is 6.8 pounds.
3. The probability of 150 women having a sample mean below 160 pounds is 0.0849.
4. The probability of 150 women having a sample mean above 175 pounds is 0.0305.
5. The probability of 200 women having a sample mean below 160 pounds is 0.0434.
6. The probability of 200 women having a sample mean above 175 pounds is 0.0153.
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please assist with this question...
Step-by-step explanation:
a probability is always the ratio
desired cases / totally possible cases
(a)
the experimental probability is just using the actual experience to predict any future results.
the total number of cases was 20, and the number of desired cases (yellow) was 12.
so, the experimental probability of landing on yellow is
12/20 = 3/5 = 0.600
(b)
the theoretical probability of a totally fair spinner landing on yellow is 2 out of 5 possibilities, so
2/5 = 0.4000
(c)
the correct statement is the first one.
with a more or less balanced (fair) spinner the experimental numbers should get closer and closer to the theoretical numbers, the more spins we make.
Using the Distributive Property as a good first step to solving the equation, you could simplify to get which of these choices?7(5x + 2) = -4(6 - 5x)35x + 14 = -24 - 20x35x + 14 = -24 + 20x5x + 14 = 6 + 20x35x + 2 = -24 - 5x35x + 2 = 24 - 20x
In equation 7(5x + 2) = -4(6 - 5x), Using the Distributive Property, we get 35x + 14 = -24 + 20x. So, the correct option is D).
To solve the equation 7(5x + 2) = -4(6 - 5x), a good first step is to use the Distributive Property to simplify both sides of the equation. Distributing the 7 and -4 on the left and right sides, respectively, we get
35x + 14 = -24 - 20x.
Next, we can combine like terms by adding 20x to both sides to get 55x + 14 = -24. Then, subtracting 14 from both sides, we get 55x = -38. Finally, we can solve for x by dividing both sides by 55, giving us x = -38/55. Therefore, the solution to the equation is x = -38/55.
The evaluation process involves performing arithmetic operations in a logical order to simplify the equation step-by-step until a solution is reached. So, the correct answer is D).
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PLEASEE HELP!
Draw an angle that is 150 degrees.
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to draw an angle that is 150}^{\circ}.[/tex]
[tex]\textsf{We will need a Protractor to draw this angle.}[/tex]
[tex]\large\underline{\textsf{To Draw an Angle with a Protractor;}}[/tex]
[tex]\textsf{First, notice a point at the bottom of the Protractor. This is where we will start.}[/tex]
[tex]\textsf{Draw a Straight Line from the point to the 0}^{\circ} \ \textsf{mark.}[/tex]
[tex]\textsf{Secondly, use a ruler to carefully draw a straight line towards the 150}^{\circ} \ \textsf{mark.}[/tex]
[tex]\textsf{Note that some Protractors may be different from others. Similar steps should apply.}[/tex]
[tex]\textsf{Refer to the picture. It represents what the angle should look like afterwards.}[/tex]
To do :-
To draw a angle of 150° .Instruments required:-
A pair of compasses ,A ruler ,A pencil ,and a protactorSteps of construction:-
Draw a line segment of desired length.Taking a point on the line , draw a semicircle using a compass .Taking G as centre cut an arc on the semicircle mark the point of intersection as I .Taking I as centre cut another arc on the semicircle , mark it as point J .Taking J and I as center, cut an arc such that both the arcs intersect each other, mark it as point D .Join C and D .Taking F as centre again cut an arc on the semicircle, mark it as point E .Join E and C .Using a protactor you can check whether the angle formed is 150° or not .Hence angle ECB represents 150° .
Precaution:- do not change the arm length of the compass.
and we are done!
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area Building Contents Building Contents Building Contents Building Contents
rating
City 0.39 0.43
Suburb 0.45 0.52
Rural 06
0.69
0.5
0.56
0.71 0.8
0.54
063
0.55
0.72
0.89
0.65
0.74
091
0.66
0.83
1
0.76
0.85
1.02
Ashley owns a brick house in the country worth $85,000, and the contents of the
house are valued at $18,000. She wants to know her property insurance premium.
1.
What is Ashley's annual
premium on her house?
2.
What is Ashley's annual
premium on the contents of her
house?
Therefore, Ashley's annual premium on the contents of her house is $127.80.
What is percent?Percent is a term used to express a fraction or a ratio as a portion of 100. It is denoted by the symbol % (per cent or percent). Percentages are commonly used in many different contexts, such as finance, statistics, science, and everyday life. They are used to express changes, comparisons, rates, probabilities, and many other types of information. To calculate a percentage, we usually divide the part by the whole and multiply the result by 100.
Here,
Based on the provided table, we can calculate Ashley's annual premium on her house and the contents of her house as follows:
Annual premium on Ashley's house:
Since Ashley's house is made of brick and located in a rural area, we can use the values from the "Brick" and "Rural" columns of the table. The premium per $100 of coverage for a brick house in a rural area is $0.60 for the building and $0.69 for the contents.
To calculate the annual premium for the house, we first need to determine the coverage amount. The coverage amount is the value of the house divided by 100, so in this case, it is $85,000 / 100 = $850.
The annual premium for the house is then calculated by multiplying the coverage amount by the premium per $100 of coverage:
Annual premium on house = coverage amount * premium per $100 of coverage for brick house in rural area
= $850 * $0.60
= $510
Therefore, Ashley's annual premium on her house is $510.
Annual premium on Ashley's contents:
To calculate the annual premium for the contents of Ashley's house, we use the same method as above. The coverage amount is the value of the contents divided by 100, so in this case, it is $18,000 / 100 = $180.
The annual premium for the contents is then calculated by multiplying the coverage amount by the premium per $100 of coverage:
Annual premium on contents = coverage amount * premium per $100 of coverage for contents in rural area
= $180 * $0.71
= $127.80
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Please indicate which is the best answer to complete the figure below.
Answer:
E
Step-by-step explanation:
Answer has to have a star, the object (star) needs to be on the right side, and the two colors cannot be the same as any of the rest in the set. So E?
A lender requires a minimum down payment of 16% of the value of the home. You have $39,000
cash available to use as a down payment toward a home. Determine the maximum home value
that you can finance.
There is a $243,570 cap on the amount you may finance.
Which type of arithmetic is used in finance?MentaI arithmetic, aIso known as "quick math," aIgebra, trigonometry, statistics, and probabiIity are some of the key mathematicaI concepts and abiIities needed in the financiaI sector. A fundamentaI knowIedge of these abiIities shouId be sufficient to quaIify you for the majority of finance occupations.
The highest home vaIue that may be financed is x.
$39,000 in avaiIabIe cash for a down payment
16% is the needed down payment percentage.
16% of the home's worth can be expressed as,
x × 16/100=$39,000
x=39,000/0.16
x=$243,570
We can then infer that the highest vaIue you couId finance is $243,570.
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Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch. (1 point)
help me pls D;
The length of the top of the bookcase is 20 inches, the width should be 15 inches to have the correct area.
How to find the dimensions of rectangle?Since the area of the soap carvings is 300 square inches, we want the top of the bookcase to have the same area. Let's assume the length of the top of the bookcase is "l" and the width is "b". Then we have:
Area of top of bookcase = lb
We want this area to be equal to 300 square inches. Therefore, we can write:
lb = 300
We are solving for "b", so we can rearrange this equation to solve for "b":
b = 300/l
Since we don't know the value of "l", we can't solve for "b" exactly. However, we can approximate it by assuming a value for "l". Let's say we assume that "l" is 20 inches. Then we can calculate "b" as follows:
b = 300/20 = 15
So if the length of the top of the bookcase is 20 inches, the width should be 15 inches to have the correct area.
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Need help please!
Thank you so much!!
The graph repeats itself every 32 units hοrizοntally. [ The graph is attached belοw ]
What is an interactive widget in graphs:An interactive widget in a graph is a tοοl that allοws the user tο manipulate different elements οf the graph using their mοuse οr tοuch screen.
Interactive widgets can be used tο explοre the behaviοr οf a functiοn οr dataset in a mοre dynamic and engaging way than a static graph.
Sοme cοmmοn examples οf interactive widgets in graphs include sliders, buttοns, checkbοxes, and drοpdοwn menus.
Here we have
y = -5 cοs (π/16 x) - 4
Represents a periοdic functiοn with a cοsine wave shape that is shifted dοwnwards by 4 units.
The cοsine functiοn οscillates between -1 and 1, sο multiplying it by -5 stretches the wave vertically by a factοr οf 5 and reflects it acrοss the x-axis.
The cοefficient οf x, π/16, cοntrοls the periοd οf the functiοn, which is the distance between twο cοnsecutive peaks οr trοughs οf the wave.
Specifically, the periοd οf this functiοn is 32 units, since the cοsine functiοn has a periοd οf 2π and 2π/(π/16) = 32.
Therefοre,
The graph repeats itself every 32 units hοrizοntally. [ The graph is attached belοw ]
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Please help!!!!!!!!!!!!!!
Step-by-step explanation:
try this option (see the attachment), answers are marked with red colour.
For Activities 7 through 12, Match each given situation to a possible graph of its density function. Explain.
A random number generator is used to choose a real number between 0 and 100. The random variable x is the number chosen.
The probability that the computer generates a number between 1 and 4 is 4/11.
Since X has a uniform distribution, the probability of generating any number between 0 and 10 is equally likely. Therefore, the probability of generating a number between 1 and 4 is the same as the probability of generating a number between 0 and 4 minus the probability of generating 0
P(1 ≤ X ≤ 4) = P(X ≤ 4) - P(X = 0)
Since X has a uniform distribution, the probability of generating any specific number is 1/11. Therefore
P(X ≤ 4) = (4 + 1)/11 = 5/11
and
P(X = 0) = 1/11
So,
P(1 ≤ X ≤ 4) = (5/11) - (1/11) = 4/11
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I have solved the question in general, as the given question is incomplete,
The complete question is:
A random number generator generates numbers between 0 and 10. Let random variable X be the number generated. Suppose X has a uniform distribution. What is the probability that the computer generates a number between 1 and 4?
if the cafiteria has 80 coustomers on tuesday, which prediction for tues day is not supported by the data in the table
Answer:
Where is the table?
Step-by-step explanation:
find the following answer
According to the Venn diagram the value of [tex]n(A ^ C \cap B ^ C) = {3}[/tex] so the number of elements in that set is 1.
What is Venn diagram ?
A Venn diagram is a diagram that shows all possible logical relations between a finite collection of different sets. It is usually represented as a rectangle or a circle for each set and the overlapping areas between them, showing the common elements that belong to more than one set. Venn diagrams are widely used in mathematics, logic, statistics, and computer science to visualize the relationships between different sets and help solve problems related to set theory.
According to the question:
To solve this problem, we first need to understand the notation used.
n(A) denotes the set A and the numbers within the braces {} indicate the elements in set A. For example, n(A)={7,4,3,9} means that the set A contains 7, 4, 3, and 9.
n(AnB) denotes the intersection of sets A and B, i.e., the elements that are common to both A and B. For example, n(AnB)={4,3} means that the sets A and B have 4 and 3 in common.
^ denotes intersection of sets
cap denotes the intersection of sets
Now, we need to find the elements that are common to sets A and C, and sets B and C. We can do this by taking the intersection of A and C, and the intersection of B and C, and then taking the intersection of the two resulting sets.
[tex]n(A ^ C) = n(A \cap C) = {3,9}[/tex]
[tex]n(B ^ C) = n(B\cap C) = {3,5}[/tex]
Now, we take the intersection of [tex]n(A ^ C)[/tex] and [tex]n(B ^ C)[/tex]:
[tex]n(A ^ C \cap B ^ C) = {3}[/tex]
Therefore, the answer is 1.
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HELP ME!!!! DUE TODAY IF I GET IT RIGHT YOUR BRAINLIEST!
Answer:
see step by step.
Step-by-step explanation:
The THEORETICALLY probability is 0.5000 (this is, 50% each one) since each one have equal chance of being in list A or List B, but this is still a random probability, so this is not the same that if you have 60 students, 30 of them are going to be in the list A and the other 30 in B.
The experimental result show:
[tex]P (ListA) = \frac{27}{60} =0.45[/tex]
[tex]P (ListB) = \frac{33}{60} =0.55[/tex]
This is 45% of being in list A and 55% of being in list B, notice these values are close the the experimental value (50%) but still are lightly higher or lower. Additionally notice if you add both of them you still have 100% (0.45+0.55=1.00)
Which of the following describes the transformation from Figure 1 to Figure 2?
On a coordinate plane, figure 1 has points (negative 2, 5), (negative 2, 4), (negative 3, 4), (negative 3, 2), (negative 5, 2), (negative 5, 5). Figure 2 has points (2, negative 5), (2, negative 4), (3, negative 4), (3, negative 2), (5, negative 2), (5, negative 5).
Initially, while maintaining the very same [tex]x-[/tex]coordinates, the negative reflect across the [tex]x-axis[/tex] modifies the signs of all locations' [tex]y-[/tex]coordinates.
Negative: Does it signify plus or minus?A negative value is one that always has a value lower than zero and is denoted by the minus (-) symbol. In a number line, negative values are displayed just left of zero.
What is the significance of both positive and negative values in math?If a number is higher than zero, it is considered positive. Or less zero numbers are referred to as negative numbers. If a number is bigger than that or equal to zero, it is not negative. If a number falls below or equal to zero, it is non-positive.
This transforms Figure [tex]1[/tex] into a new figure with points [tex](-2, -5), (-2, -4), (-3, -4), (-3, -2), (-5, -2), (-5, -5)[/tex].
Next, the [tex]180^{0}[/tex] rotation about the origin swaps the signs of both [tex]x[/tex] and [tex]y[/tex] coordinates of each point. This results in the final figure with points [tex](2, -5), (2, -4), (3, -4), (3, -2), (5, -2), (5, -5)[/tex].
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CAN SOMEONE PLEASE HELP thank you so so much please!!!
Step-by-step explanation:
try this option, all the details are in the attachment.
Please help fast!! Find the slope of a line parallel to the line whose equation is 3x+18y=−486.
Fully simplify your answer.
Answer: -1/6
Step-by-step explanation:
Put the equation into y = mx + b (slope) form.
3x + 18y = -486
18y = -3x - 486
y = -1/6x - 27
If the line is parallel to this line, the slope must be the same.
What is 11 1/2 minus 6 2/3
The answer is 4 5/6
Step-by-step explanation:
50 pts to anyone that answers
An animator uses green tiles to design a pattern that grows each second, as shown in this diagram. Use the drop-down menus to build functions that describe how the pattern is changing.
The function of tiles with no empty spaces is n(t) = t² + 2t, the function of tiles removed to create empty spaces is r(t) = t.
The function of tiles with no empty spacesWe have a sequence of tiles represented by the numbers 3, 8, and 15.
This sequence can be described as a quadratic sequence, which can be expressed using the formula
n(t) = at² + bt + c.
By substituting the values of the first three terms into this formula, we can find the values of a, b, and c.
a + b + c = 3
4a + 2b + c = 8
9a + 3b + c = 15
These values can also be determined by graphing the sequence. In this case, a = 1, b = 2, and c = 0.
Therefore, the quadratic sequence can be written as n(t) = t² + 2t.
The function of tiles removed to create empty spacesThe given sequence of tiles can be represented as a linear sequence in which the current term is equal to the number of spaces.
Therefore, the function r(t) can be defined as r(t) = t.
The function of tiles usedThe given equation is expressed as:
A(t) = n(t) + r(t)
Therefore, substituting t² + 2t + t for A(t), we get:
A(t) = t² + 2t + t
Consequently, the function can be represented as
A(t) = t² + 3t
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The total amount of charge in coulombs that has entered a wire at time is given by the expression Q = 6 t + 2 t^2, where t is in seconds and t greaterthanorequalto 0. Find an expression for the current in the wire at time t.
The rate at which electric charge flows through a circuit is used to quantify electrical current: I (t) equals dQ (t) / dt. The derivative of the electric charge by time yields the momentary current. I (t) is the amps of the transient current I at time t. (A).
The temporary electric charge, measured in coulombs, is Q(t) (C).
The time in seconds is t. (s).
I =ΔQ / Δt
ΔQ is the amount of electric current flowing at time Δt, measured in coulombs (C).
The time length in seconds is t. (s).
We know that I = dQ/dt by definition; thus, if Q = f(t), then I = f' (t). By stating this, we obtain the current's expression as follows:
I (t) = (d/dt) (Q(t)) = (d/dt) (6t + 2t2) = 6 + 4t: I(t) = 4t + 6; t >= 0
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PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.
The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm
Calculating the area of the composite figureThe sector area
The area of the sector is calculated as
Area = x/360 * πr²
Where
r² = 8² + 6²
So, we have
r² = 100
This means that
Area = 82/360 * π * 100
Evaluate
Area = 71.55
The triangle area
This is calculated as
Area = 0.5bh
So, we have
Area = 0.5 * 8 * 6
Evaluate
Area = 24
So, the area of the figure is
Figure = 24 + 71.55
Figure = 95.55
Hence, the area is 95.55
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h(r) = 11r² - 6
g(r) = r² + 8r+ 9
Find h(-2) + g(-2)
According to the solving the function the value of h(-2) + g(-2) is 45.
What exactly is function?function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.
According to the given information:To find h(-2) + g(-2), we need to evaluate h(r) and g(r) when r = -2, and then add the results:
h(-2) = 11(-2)² - 6 = 44
g(-2) = (-2)² + 8(-2) + 9 = 1
So, h(-2) + g(-2) = 44 + 1 = 45.
Therefore, h(-2) + g(-2) = 45.
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Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = e−8/√n lim n→[infinity] an =
The sequence, [tex]a_n =e ^{\frac{{-8}}{\sqrt{n}}}[/tex], is convergent sequence because the limit of an exists, that is as n approaches infinity, so the sequence an approaches 1 ( finite value).
The sequence can be convergent if the limit is zero, or if the limit is finite. The divergent sequence is one whose limit is not finite. The limit can be found suing the limit properties or by simplification method, as applicable. We have, an sequence, [tex]a_n =e ^{\frac{{-8}}{\sqrt{n}}}[/tex]. We have to check whether the sequence converges or diverges. Using limits, [tex]lim_ {n->\infty } a_n = lim_{n-> oo} e^{\frac{-8}{\sqrt{n}}} [/tex]
n approaches infinity, so square root of n approaches infinity,
= e⁻⁰
= 1/e⁰ = 1 ( finite )
Therefore, it is a convergent sequence.
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