The volume of the given shape is 392.7hr² sq. units.
Given, the base of S is a circular disk with radius 5r.
Parallel cross-sections perpendicular to the base are isosceles triangles with height 5h and unequal side in the base.
we have to find the volume of the shape we are given,
As, Volume = area × height
Now, area = πr²
area = 3.14×(5r)²
area = 78.54r²
as, height = 5h
then, Volume = 78.54r²×5h
Volume = 392.7hr²
Hence, the volume of the given shape is 392.7hr² sq. units.
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What are the first 3 factors of 10?.
Step-by-step explanation:
The factors of 10 are 1,2,5,10.
Therefore the first 3 factors of 10 are 1,2,5
how many bytes difference will there be in the amount of memory allocated by the following code on the intel ia 32 versus the intel x86-64?
By using operations on integers, it can be calculated that
Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes
What is operation on integers?
At first it is important to know about integers
Integers are those numbers without any fractional part. Integers can be positive or negative and zero is also an integer.
The operation on integers are
Addition
Suppose there are numbers and the sum of those numbers has to be calculated. For this addition is used
Subtraction
To find the difference between two integers, subtraction is used
Multiplication
Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers
Division
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
This problem can be solved using operation on integers
On Intel IA 32, the address is 32 bit or 32 [tex]\div[/tex] 8 = 4 bytes
On Intel x86 - 64, the address is 64 bit or 64 [tex]\div[/tex] 8 = 8 bytes
On an array of size 3,
On Intel IA 32, the address is 4 [tex]\times[/tex] 3 bytes = 12 bytes
On Intel x86 - 64, the address is 8 [tex]\times[/tex] 3 bytes = 24 bytes
Difference between the address = 24 - 12 = 12 bytes
Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes
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Complete Question
how many bytes difference will there be in the amount of memory allocated by the following code on the intel ia 32 versus the intel x86-64?
char*arr[3]
Paint is being applied to a rectangular wall. A diagram of the wall is shown below.
The cost of the paint is $3.45 per square foot. What will it cost in total to paint the wall?
( 12.5ft , 18ft.)
It will cost $776.25 to paint the area of the rectangular wall
Area of a RectangleThe area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc.
The formula of area of a rectangle is given as;
A = L * W
l = lengthw = widthImputing the values and calculate the area of the rectangular wall;
A = 12.5 * 18
A = 225ft²
But in the question, the cost of painting the wall is $3.45 per square feet.
1ft² = 3.45
225 = x
x = 3.45 * 225
x = 776.25
The cost of painting the wall is $776.25
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Modeling an Equation
Use the algebra tiles to model the equation
2x + 4 = 3x + (−1). Then complete the sentences.
To model 2x + 4, you need:
positive x-tiles to represent 2x.
positive unit tiles to represent 4.
To model 3x + (−1) you’ll need:
3
x-tiles to represent 3x.
1
unit tile to represent –1.
The sentences is completed as follows
To model 2x + 4, you need:
2 positive x-tiles to represent 2x4 positive unit tiles to represent 4To model 3x + (−1) you’ll need:
3 positive x-tiles to represent 3x1 negative unit tile to represent –1What is algebra tile models?An algebra tile model is a graphic representation made out of various arrangements of algebra tiles. A model's function is to depict a polynomial expression or equation.
Algebra tiles it self are shapes of different colors that represents numbers or parts of numbers.
In the question, algebra tiles are used to represent the equations used in the problem. The tiles in the problem will be of 3 types
x-tilespositive unit tiles negative unit tiles2x + 4
In this case, the equation will require the twice the x-tiles then 4 positive unit tiles
3x + (−1)
In this case, the problem is represented using 3 x-tiles and 1 negative unit tile.
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Answer:2,4,positive,negative
Step-by-step explanation:
If josue is 5 more than twice Rachel’s age, how old is josue?
(Represent the answer in terms of x)
Answer:
J = 5 + (R x 2)
Step-by-step explanation:
the best way I can answer it is in a equation.
Josue equals whatever 5 + Rachel's doubled age is.
excel's can be used to construct a crosstabulation. chart tools sum function pivottable report countif function
Excel's PivotReport Table can be used to construct a crosstabulation.
What is Pivot Report Table?
Data summaries are created using pivot tables. Large data sets can be processed automatically, and the resulting report can include groupings of the data as well as count totals, averages, sums, and other calculations. Pivot report tables offer insight that could be challenging to perceive otherwise.Here is a table with sales data in its original format as an illustration. It includes a list of the goods that salespeople offer. However, it is challenging to evaluate the effectiveness of each salesperson or determine which product brings in the most money. A pivot report table can be used to quickly access data and accurately answer these queries.To know more about pivot report table check the below link:
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two cities are 145 miles apart. a truck travels this distance in 2.5 hours. a car is 1.5 times as fast as the truck. how long does it take for the car and the truck to meet if they leave at the same time, and travel toward each other
By using the travel distance formula, we found out that it takes 1 hour for the car and the truck to meet if they leave at the same time and travel toward each other.
It is given to us that -
Two cities are 145 miles apart
Truck travels this distance in 2.5 hours
Car is 1.5 times as fast as the truck
We have to find out the time taken for the car and the truck to meet if they leave at the same time, and travel toward each other.
We know that -
[tex]Speed = \frac{Distance}{Time}[/tex] ----- (1)
Let us say that the speed of the truck is given by [tex]S_{t}[/tex] and the speed of the car is given by [tex]S_{c}[/tex].
Now, from equation (1), we can say that the speed of the truck,
[tex]S_{t}=\frac{145}{2.5} \\= > S_{t}= 58 miles per hour[/tex] ----- (2)
It is given to us that the car is 1.5 times as fast as the truck
=> [tex]S_{c}= 1.5 * 58\\= > S_{c}= 87 miles per hour[/tex] ----- (3)
It is mentioned that the car and the truck leave at the same time to meet each other.
Let us say that the truck meets the car at a distance 'd'.
This implies that the distance travelled by the car to meet the truck at a given point = (145-d) --- (4)
From equation (1), we can say that
[tex]Time = \frac{Distance}{Speed}[/tex]
Also, we know that -
Time taken by truck to travel d miles = Time taken by car to travel (145-d) miles
[tex]\frac{d}{58}=\frac{145-d}{87} \\= > 87d = 8410-58d\\= > 145d=8410\\= > d = 58[/tex]
Thus, the truck will travel 58 miles to meet car after they leave at the same time.
So, the time taken for the car and truck to meet =
[tex]\frac{58 miles}{58 miles per hour} = 1 hour[/tex]
Therefore, according to the distance formula, it takes 1 hour for the car and the truck to meet if they leave at the same time and travel toward each other.
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a 12-lb weight is attached both to a vertically suspended spring that it stretches 6 in. and to a dashpot that provides 3 lb of resistance for every foot per second of velocity. if the weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t
The weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t the phase angle is α=π÷16.
The mass in fps gadgets is m = 0.375 and the spring consistent is [tex]k = 12/5 × (lb)/(lt) = 24lb / ft .[/tex]
The round frequency is given through [tex]ω{0} ^ 2 = k/m = 64 , so ω{0} = 8rad / s[/tex] The damping consistent is[tex]c = 3lb - s / ft so p = i/(2m) = 4[/tex], and the machine is consequently underdamped. Then [tex]ω= (ω{0} ^ 2 - p ^ 2) = sqrt(48) = 4^(3)[/tex]so the overall answer is
[tex]x(t) = Ac ^ (- 4t) cos 4 t + B * c ^ (- 4t) * sin 4 ^3t\\v(t) = A * e ^ (- 4t) * (- 4cos 4 ^3 t - 4^3\\sin 4 * ^3 t) + B * e ^ (- 4t) * (- 4sin 4 * 63 t + 4^3 cos 4 ^3* t)[/tex]
We degree the displacement vertically, thinking about a displacement downwards as being positive, because it corresponds to stretching the string further.
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What is 15 a multiple of?.
The numbers that are n times 15 is known as multiple of 15. The numbers are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150,..............
In the given question we have to find what is 15 a multiple of.
The numbers that are n times 15, where n is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so forth, are considered multiples of 15. Therefore, multiples are essentially any integer multiplied by n, where n is a list of all natural numbers. Thus, the multiples of 15 have the form of 15n, as in:
15×1, 15×2 ,15×3 ,15×4, 15×5, 15×6, 15×7, 15×8, 15×9, 15×10,....................
15, 30, 45, 60, 75, 90, 105, 120, 135, 150,................................
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What is the base of an triangle that has an area of 24 square units and a height of 12 units
Answer:
base is 4 units
Step-by-step explanation:
the formula for a triangle is (b x h)/2= a
So we can fill in what we know
(b x 12)/2=24
Our goal is to solve for b or the base
12b/2=24
X2. x2
12b=48
/12. /12
b=4
Hopes this helps please mark brainliest
What is the equation of the line that passes through the point (5,4) and has a slope of 2
Answer:
y=2x-6
Step-by-step explanation:
y-4=2(x-5)
y-4=2x-10
+4
y=2x-6
cleveland cove enterprises is evaluating the purchase of a lift system for all of its locations to use for boat repair. information on the b14 model, one of the options is listed below:
The net present value formula helps us to determine the net present value of boat repair model B14 model by Cleveland Cove enterprises.
so, the net present value is 384,285.714.
Net present value: The net present value is applied to a series of cash flows occurring at different times. The present value of a cash flow always depends on the interval of time between now and the cash flow.
NPV = Rt /(1+i)^t
where , Rt --> net cash flow at time t
i --> discount rate
t --> time of cash flow
We have given that , A company has narrowed their choices down to two: the B14 Model and the F54 Model.
F54 Model :
Residual value , = 18,000
Annual net cash inflow = 30,000
investment = 230,000
time , t = 10
rate of return,r = 12%
B14 Model :
Residual value , = 10,000
Annual net cash inflow = 80,000
investment = 330,000
time , t = 10
rate of return,r = 8%
we have to calculate the net present value for model B14.
so, Net present Value = present value of annually cash - investment
present value of annually cash
= 80000/1.12 = 71,428.571
Net present value =71,428.571 ×10 - 330000
= 714,285.71 - 330,000 = 384,285.714
hence, net present value for model B14 is 384,285.714
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Complete question:
Cleveland Cove Enterprises is evaluating the purchase of an elaborate hydraulic lift system for all of its locations to use for the boats brought in for repair. The company has narrowed their choices down to two: the B14 Model and the F54 Model. Financial data about the two choices follows. B14 Model investment 330,000 useful life (yr) 10 , estimated annual cash inflow 80,000
F54 Model Investment 230 comma 000 Useful life (years) 10 10 Estimated annual net cash inflows for useful life 33 comma 000 Residual value 18 comma 000 Depreciation method Straightminusline Straightminusline Required rate of return 12% 8% What is the net present value of the B14 Model?
is the following sentence a statement? why or why not? the sentence in this box is a lie. statement. the sentence is neither true nor false, and so it is a statement. statement. the sentence is true. therefore, it is a statement. statement. the sentence is false. therefore, it is a statement. not a statement. the sentence is false, and so it is not a statement. not a statement. the sentence is neither true nor false, and so it is not a statement.
The last option is correct that is not a statement. Since the statement is neither true nor untrue, it cannot be considered a statement.
Given that,
We have to find the following sentence a statement or not.
We know that,
The statement is the sentence in this box is a lie.
The sentence in the box may be true or a lie we don't know exactly
So it is not a statement
A statement must give a confirmed information
Hence last option is correct
Therefore, The last option is correct that is not a statement. Since the statement is neither true nor untrue, it cannot be considered a statement.
Complete question: Is the following sentence a statement? Why or why not?
The sentence in this box is at lie.
Statement. The sentence is true. Therefore, it is a statement.
Statement. The sentence is neither true nor false, and so it is a statement.
Statement. The sentence is false. Therefore, it is a statement.
Not a statement. The sentence is false, and so it is not a statement.
Not a statement. The sentence is neither true nor false, and so it is not a statement.
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calculate the mean of a given group of data points. you should not hard-code the dimensionality of the data points.
To calculate the mean of grouped data, the first step is to determine the midpoint of each interval, or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the mean.
Mean = Sum / Number of terms
mean_of_points(data):
"""Calculate the mean of a given group of data points. You should not hard-code the dimensionality of the data points.
Arguments:
data: a list of lists representing a group of data points
Returns: a list of floats as the mean of the given data points """
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suppose that 12 different people call you in a week. what is the probability you will get at least one phone call per day (assume 7 days in the week)? use a mc simulation to estimate this probability with a margin of error of 0.005.
true or false: of all possible samples of 100 stores taken from the population of 1,000 stores, 95% of the confidence intervals developed will contain the true population mean within the interval.
For all possible samples of 100 stores taken from the population of 1,000 stores, 95% of the confidence intervals developed will contain the true population means is true or false depending on the points shown below.
A. Referring to the problem statement, if the population had consisted of 10,000 stores, the confidence interval estimate of the mean would have been wider in the range is false since increasing sample size will decrease the width of the confidence interval
B. Referring to the problem statement, of all possible samples of 100 stores drawn from the population of 1,000 stores, 95% of the sample means will fall between 5.623 and 6.377 lawnmowers is false since the interval is for the population mean and not the sample mean.
C. Referring to the problem statement, of all possible samples of 100 stores taken from the population of 1,000 stores, 95% of the confidence intervals developed will contain the true population mean within the interval is true.
D. Referring to the problem statement, 95% of the stores have sold between 5.623 and 6.377 lawnmowers is false.
E. Referring to the problem statement, we do not know for sure whether the true population means between 5.623 and 6.377 lawnmowers sold is true since this is a confidence interval that has only 95% confidence to contain the true population means.
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At the movies, 60% of the moviegoers bought a soda. 45% of the moviegoers bought popcorn and soda. What is the probability that a person will buy popcorn if they have already decided to buy soda?
The probability that a person will buy pop corn and soda is 9/20
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
probability = sample space / total possible outcome
The total possible outcome here is 100
The probability that a person will buy popcorn if they have already decided to buy soda = probability that a person will buy both soda and popcorn
therefore the probability of a person buying both soda and pop corn= 45/100=9/20
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g a spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. at what rate is the volume of the snowball decreasing when the radius is 12 cm. (note the answer is a positive number).
Rate at which volume of the snowball decreasing when the radius is 12 cm is 180.864 cm^3/min
Given:
a spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. at what rate is the volume of the snowball decreasing when the radius is 12 cm.
Let r be the radius of the spherical snowball
Radius is decreasing at rate of 0.1 cm/min.=> dr/dt = -0.1
(negative sign indicates decreasing)
Volume v = 4/3πr^3
dv/dt = 4/3 π 3r^2*dr/dt
= 12π/3*r^2*(-0.1)
= 4π*12^2*(-0.1)
= 4π*144*-1/10
= 4π*(-14.4)
= -57.6π
= 180.864 cm^3/min
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find the 10th nth term of 2n²
Answer:
Step-by-step explanation:
31. the measures of 2 angles are in the ratio 5:3. the measure of the larger angle is 30 greater than half the difference of the angles. find the measure of each angle.
The correct answer is the measure of two angles are 37.5° and 22.5°.
It is given that the measure of two angles are in the ratio 5:3 . Let the one angle be 5x and the other angle be 3x.
Difference of the angles = 5x - 3x
According to the question, the measure of the larger angle is 30° greater than half the difference of the angles
Thus we can write it as:
⇒ 5x - 1/2(5x-3x) =30°
⇒ 10x- (5x-3x) = 60°
⇒ 8x = 60°
⇒ x = 7.5°
Thus, the larger angle = 5x = 5×7.5= 37.5° and the smaller angle = 3x = 3× 7.5 = 22.5°
Hence, the measure of two angles are 37.5° and 22.5°.
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Order the numbers from least to greatest.
Put the lowest number on the left.
A) 2. 95 B) 2. 509 C) 2. 925
The orders numbers from least to greatest are 2.509, 2.925, and 2.95 respectively.
What is ascending order?
When numbers are arranged in ascending order, they are done so from least to greatest.
Ordering Decimal from Least to Greatest.
Compare each decimal's whole number component first. The smallest number is the one with the smallest entire number.
Compare the decimal parts in the same way as we compare the whole numbers if the whole number parts are the same.
Given, 2. 95, 2. 509, 2. 925
Arranging numbers from least to greatest, we get
2.509, 2.925, 2.95
Hence, the order numbers from least to greatest are 2.509, 2.925, and 2.95 respectively.
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Use a translation rule to describe the translation of x that is 5 units to the left and 7 units up.
Translation of x with 5 units to the left is ( x + 5 ) and 7 units up is ( x + 7 ) .
As given in the question,
The translation represents the movement of the original shape in the coordinate plane.
Translation of x for the given conditions :
5 unit to the left :
Here function shift 5 units to the left by adding 5 in the function.
x → ( x + 5 )
7 units up
Function shift 7 units up by adding 7 in the function.
x → ( x + 7 )
Therefore, translation of the function by 5 units left is x+5 and 7 units up is x + 7.
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Which pair of triangles can be proved congruent by ASA?.
Answer: If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.
Step-by-step explanation:
A local boutique is having a sale on sweaters, but customers are not aware of the sale until they are already in the store. In other words, there is no advertising of the sale other than signs in the back of the store that cannot be seen from the outside. All sweaters are marked as 15% off. Is this price discrimination?
Yes
No
No, there is no price discrimination in the given question
Price discrimination is a marketing strategy where a firm levies its customers variously for a similar commodity based on the standards they have set. It is offering customers various products at various price points based on their purchasing power and demographics.
Since the retailer does not charge different prices for various products, there is no price discrimination in the given question. It cannot be argued that a local boutique owner is engaging in price discrimination if they offer a discount to a customer who is unaware of it without asking them first. Additionally, it is no priced discrimination if the shop owner does not give more than a 15% discount or any incentives for purchasing in bulk.
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drag each statement to the appropriate bin depending on whether it applies to the descending limb of the loop of henle, the ascending limb of the loop of henle, or the collecting duct
The proximal tubule reabsorbs all of the filtered glucose and amino acids, as well as salt, chloride, potassium, and bicarbonate. So the option b is correct.
In the given question, we have to check most of the glucose that is filtered through the glomerulus undergoes reabsorption in the:
a. distal tubule
b. proximal tubule
c. descending limp of the loop of Henle
d. ascending limb of the loop of Henle
The proximal tubule reabsorbs all of the filtered glucose and amino acids, as well as salt, chloride, potassium, and bicarbonate. Additionally, sodium ion and glucose were co-transported in the proximal tubule by the co-transporter SGLT (sodium dependent glucose transporter). The ability to transport glucose distinguishes two SGLT (SGLT1 and SGLT2). Since SGLT2 is abundant in the S1 and S2 segments of the proximal tubule and SGLT1 has a high affinity for glucose, it filters 90% of the glucose. Option (b) is correct, therefore.
Option (a) is False, since the distal tubule is crucial to maintaining a healthy acid-base balance. The amount of extracellular fluid is regulated.
The descending limb of the Henle loop, which is involved in reabsorption of salt, urea, and water, makes option (c) incorrect.
Option (d) is likewise untrue because the ascending limb of the loop of Henle allows for the reabsorption of sodium, calcium, bicarbonate, chloride, and magnesium but not glucose.
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The write answer is;
Most of the glucose that is filtered through the glomerulus undergoes reabsorption in the:
a. distal tubule
b. proximal tubule
c. descending limp of the loop of Henle
d. ascending limb of the loop of Henle
arianna will roll a standard die 10 times in which she will record the value of each roll. what is a trial of this experiment?
Here rolling of a die is a trial for the experiment.It had 6 possible outcomes.
What is pattern of standard die?The most well-known kind of bite the dust is a six-sided shape with the numbers 1-6 put on the countenances. The worth of the roll is demonstrated by the quantity of "spots" appearing on the top. For the six-sided kick the bucket, inverse countenances are organized to continuously aggregate to seven.
Then,
A preliminary is a strategy that can be limitlessness rehashed and has a clear cut set of conceivable outcomes.Here moving of a kick the bucket is a preliminary for the experiment.It had 6 potential results.
So, option (a) is correct
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the following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. test the hypothesis at the 0.05 significance level that the treatment means are equal. treatment 1 treatment 2 treatment 3 9 13 10 7 20 9 11 14 15 9 13 14 12 15 10 required: a. state the null and the alternate hypotheses.
The Null hypothesis:
H₀: μ₁=μ₂=μ₃
Alternative hypothesis:
H₁: Treatment means are all not same.
Given that,
Test the idea that the treatment means are equivalent at the 0.05 level of significance using the following data: six observations gathered from treatment 1, four observations gathered from treatment 2, and five observations gathered from treatment 3. treatment 1 therapy two therapies Required: 3 9 13 10 7 20 9 11 14 15 9 13 14 12 15 10.
We have to find name the null and the alternative hypotheses.
We know that,
For the given scenario, the null and alternative hypotheses are stated as below:
Null hypothesis:
H₀: μ₁=μ₂=μ₃
Alternative hypothesis:
H₁: Treatment means are all not same.
Therefore, The Null hypothesis:
H₀: μ₁=μ₂=μ₃
Alternative hypothesis:
H₁: Treatment means are all not same.
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find the angle abc in the given figure
Answer:
∠ ABC = 50°
Step-by-step explanation:
∠ ABC and 130° are a linear pair and sum to 180° , that is
∠ ABC + 130° = 180° ( subtract 130° from both sides )
∠ ABC = 50°
at the start of 2014 tims house was worth £100,000
the value of the house increased by 10% every year
work out the value of his house at the start of 2018
The value of Tim's house at the start of 2018 is £146410
How to determine the value of his house at the start of 2018?From the question, we have the following parameters that can be used in our computation:
Initial value = 100,000
Rate of increase = 10%
The value of the house x years after 2014 can be represented as the following exponential function
Value = Initial value * (1 + rate)ˣ
So, we have
Value = 100000 * (1 + 10%)ˣ
2018 is 4 years after 2014
This means that x = 4
So, we have
Value = 100000 * (1 + 10%)⁴
Evaluate
Value = 146410
Hence, the value is #146410
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A random sample of 15 new born babies are taken from a large hospital.
Weight in pounds are given below:
9.2, 6.5, 4.3, 5.5, 7.2, 9.5, 11.2, 8.5, 5.2, 4.7, 11.0, 7.4, 8.2, 6.9, 4.1
Use R to answer the following:
The hospital claims that average weight of all the babies in population is greater than 7.5 lbs.
(a)Write five steps to Test this claim using alpha= 5%. Use critical value method.
(b)Write five steps to Test this claim using alpha= 5%. Use p- value method.
The p-value statistic to test the claim that the average weight of all babies is greater than 7.5 lbs. is 7.293.
a) Data set : 9.2, 6.5, 4.3, 5.5, 7.2, 9.5, 11.2, 8.5, 5.2, 4.7, 11.0, 7.4, 8.2, 6.9, 4.1
mean of the data set = sum / frequency
mean = 7.293.
Standard deviation
= √(871.96-797.98)/14
= 2.3001
Hence the point of estimate = 7.293
b) Using p-value> q(.80)
p> 1.282
And the sample average is just mean(x)
p>7.2933
So our margin of error is
e <- 1.282*(2.3001/sqrt(15))
e<0.7614
The lower and upper bounds are:
= mean(x) - e = 6.5319
= mean(x) + me = 8.0547
Hence the lower and upper bounds for the p-value will be 6.5319 and 8.0547 .
A statistical calculation known as a p-value is employed to assess the applicability of a hypothesis to the data. A p-value establishes the likelihood that the outcomes that were observed would occur if the null hypothesis were true. The found difference becomes statistically more significant as the p-value decreases.
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