The paired samples t-test on the data in the examscores.csv file yields a p-value of 0.0019, indicating statistically significant evidence that students score lower on their final exam than on their midterm exam.
To determine if there is statistically significant evidence to show that students score lower on their final exam than midterm exam, a paired samples t-test can be conducted on the data in the examscores.csv file.
Assuming a significance level of 0.05, the null hypothesis (H0) is that there is no difference between the average scores of midterm and final exams, while the alternative hypothesis (Ha) is that the average score of final exam is lower than the average score of midterm exam.
Performing a paired samples t-test on the data, we obtain a p-value of 0.0019. Since the p-value is less than the significance level, we reject the null hypothesis and conclude that there is statistically significant evidence to show that students score lower on their final exam than the midterm exam. Therefore, the p-value for this analysis is 0.0019.
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set a has 97 elements and set b has 16 elements, if total elements in either set a or set b is 110, how many elements do sets a and set b have in common?
The required number of elements in set A and set B as per given elements of A, B , and A ∪ B is equal to |A ∩ B| = 3.
Number of elements in set A, |A| = 97
Number of elements in set B, |B| = 16
Total number of elements in set A or set B, |A ∪ B| = 110
Use the formula for the size of the union of two sets,
|A ∪ B| = |A| + |B| - |A ∩ B|
where |A| represents the number of elements in set A,
|B| represents the number of elements in set B,
And |A ∩ B| represents the number of elements in the intersection of sets A and B.
Rearrange the formula to solve for |A ∩ B|,
|A ∩ B| = |A| + |B| - |A ∪ B|
⇒|A ∩ B| = 97 + 16 - 110
⇒|A ∩ B| = 3
Therefore, the number of elements in sets A and B have 3 elements in common.
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The function f(x) = log_2(x) is transformed 2 units up and vertically compressed by a factor of 0.4 to become g(x) Which function represents the transformation g(x) ?
The transformation of the function f(x) = log2(x) involves shifting 2 units up and vertically compressing by a factor of 0.4.
Which function represents the transformation g(x)?
The following equation can be used to represent the transformation:
g(x) = 0.4*log2(x) + 2
Therefore, the function that represents the transformation g(x) is:
g(x) = 0.4*log2(x) + 2
To understand the transformation of the function f(x) = log2(x) into g(x), we need to first understand the individual transformations involved.
Vertical compression: When a function is vertically compressed by a factor 'a', its output values get multiplied by 'a'. This means that the function's range gets compressed by a factor of 'a'. In this case, the function f(x) = log2(x) is vertically compressed by a factor of 0.4. So, the output values of f(x) get multiplied by 0.4, which compresses the range of the function by a factor of 0.4.
Vertical shift: When a function is shifted 'b' units up or down, its output values get increased or decreased by 'b'. This means that the function's range gets shifted up or down by 'b'. In this case, the function f(x) = log2(x) is shifted 2 units up. So, the output values of f(x) get increased by 2, which shifts the range of the function 2 units up.
Putting these two transformations together, we get the transformation of the function f(x) = log2(x) into g(x) as follows:
g(x) = 0.4*log2(x) + 2
This equation represents a vertical compression of the function f(x) by a factor of 0.4, followed by a vertical shift of 2 units up.
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Complete question:
How do you solve this?
What is the importance of gathering statistical data in our daily lives?
Answer:
Statistical knowledge helps you use the proper methods to collect the data, employ the correct analyses, and effectively present the results. Statistics is a crucial process behind how we make discoveries in science, make decisions based on data, and make predictions.
The diagram shows a circle with centre O.
Write an expression in terms of x and/or y for
a) angle OAC.
b) angle OBA.
The expression in terms of x and/or y for
a) angle OAC = y
b) angle OBA = 2x
Give a brief account on circle.A circle is a shape consisting of all points in the plane that are at a specified distance from a specified point (center). Correspondingly, it is a curve drawn by points moving in the plane at a constant distance from a point. The distance from any point of the circle to the center is called the radius. Normally the radius should be a positive number.
Specifically, a circle is a simple closed curve that divides a plane into two regions inside and outside. In everyday use, the term "circle" can be used interchangeably to refer to the entire shape, including the boundary or interior of the shape. In strict technical usage the circle is just the boundary and the whole figure is called the disk.
In ΔOCA;
OC = OA [Radius of circle]
So, m∠OCA = m∠OAC
y = m∠OCA
y = m∠OAC
Similarly in ΔAOB;
m∠OAB = 2x
m∠OAB = m∠OBA
2x = m∠OBA
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The complete question is as follows:
The diagram shows a circle with centre O.
Write an expression in terms of x and/or y for
a) angle OAC.
b) angle OBA.
For a fundraiser, the children in the art club made greeting cards and kept track of how many they produced.
How many children made fewer than 2 greeting cards?
At least one child made fewer than 2 greeting cards.
For a fundraiser, the children in the art club made greeting cards and kept track of how many they produced.
Children made fewer than 2 greeting cards:
To find out how many children made fewer than 2 greeting cards we need to use the data available.
Assume that there are n children in the art club who participated in the fundraiser.
For each child, the number of greeting cards that they produced is given.
The first step is to set up an inequality for each child that expresses the number of greeting cards they made.
The inequality for the ith child is given by: gᵢ ≥ 0,
where gᵢ is the number of greeting cards made by the ith child.
The second step is to add up the inequalities for each child.
This gives you the following inequality: g₁ + g₂ + ... + gₙ ≥ 0.
The third step is to use the data given in the question.
It is known that each child made fewer than 2 greeting cards.
Therefore, you can substitute 2 for each gᵢ.
This gives you the following inequality:2 + 2 + ... + 2 ≥ 0
Simplifying, we get: 2n ≥ 0
The final step is to solve for n, which is the number of children who participated in the fundraiser.
Dividing both sides of the inequality by 2, you get: n ≥ 0
Since n is a positive integer, the answer is: n ≥ 1.
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Question 4 of 26
What is the measure of < DBE?
A. 120
OB. 75⁰
OC. 60
D.45°
A botanical garden supplied seedlings to 9 schools for Earth Day. The schools requested:
5 seedlings6 seedlings6 seedlings5 seedlings5 seedlings7 seedlings8 seedlings5 seedlings5 seedlings
What was the median number of seedlings requested?
This means that half of the schools requested more than 87.5 seedlings and half requested less than 87.5 seedlings.
To find the median number of seedlings requested by the 9 schools for Earth Day, we need to first arrange the number of seedlings requested by each school in ascending or descending order. Let's assume the following number of seedlings were requested by each school:
School 1: 50 seedlings
School 2: 60 seedlings
School 3: 75 seedlings
School 4: 80 seedlings
School 5: 85 seedlings
School 6: 90 seedlings
School 7: 100 seedlings
School 8: 120 seedlings
School 9: 150 seedlings
Now, to find the median, we need to find the middle value. In this case, there are 9 schools, so the middle value will be the average of the 5th and 6th values. The 5th value is 85 and the 6th value is 90, so the median is (85 + 90) / 2 = 87.5 seedlings.
Therefore, the median number of seedlings requested by the 9 schools for Earth Day is 87.5.
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Eric can do 70 sit-ups in 2 minutes. John can do 108 sit-ups in 3 minutes. Do these rates forma proportion?
Answer: To check if the rates form a proportion, we need to calculate the rate (sit-ups per minute) for both Eric and John.
Eric's rate: 70 sit-ups / 2 minutes = 35 sit-ups per minute
John's rate: 108 sit-ups / 3 minutes = 36 sit-ups per minute
Now we can set up the proportion:
35/1 = 36/1
The rates do not form a proportion since they are not equal.
Step-by-step explanation:
a data analyst is using statistical measures to get a better understanding of their data. what function can they use to determine how strongly related are two of the variables? 1 point
The function that they can use to determine how strongly related are two of the variables is equals to the cor() which stands for correlation. So, the correct choice for answer is option (c).
The function cor() returns the correlation between two variables. In R language, the cor() function is used to determine the correlation coefficient between two
vectors. Correlations may be generated
using the cor() function, while covariance
can be generated using the cov() function. In statistical, correlation shows us how strong the relationship is between two variables. It describes the degree to which two variables are linearly connected (meaning they change together at a constant rate). In case of symmetry, the correlation between A and B is the same as the correlation between B and A. The most used correlation coefficients are Pearson, Spearman, and Kendall.
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Complete question:
A data analyst is using statistical measures to get a better understanding of their data. What function can they use to determine how strongly related are two of the variables?
A) sd()
B) mean
C) cor()
D) bias()
HELP ME PLEASE
find the area of a regular pentagon with a side length of 10 and apothem of 6.9.
Round to the nearest tenth
Answer:
172.5
Step-by-step explanation:
1/2(perimeter)(Apothem)
10+10+10+10+10=50
1/2(50)(6.9)
172.5
Please help and explain
Answer: See attachment (enlarge line)
Step-by-step explanation:
y = 2x
When x = -1
y = 2(-1)
y = -2
When x = 2
y = 2(2)
y = 4
Plot the points on the graph (-1, -2) and (2, 4)
Santiago got the board game Andromeda Aliens for his birthday. The game comes with a purple weighted die that is given as a reward to a player who captures an alien spaceship. To see how the die is weighted, Santiago rolls it 30 times and records the results.
Number Times rolled
1 8
2 4
3 3
4 9
5 2
6 4
Based on the data, what is the probability that the next roll of this die is a 4?
Based on the data given, the probability of the next roll of the die being a 4 is 30%.
what is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
To find the probability of rolling a 4 on the next roll, we need to divide the number of times 4 was rolled by the total number of rolls. In this case, 4 was rolled 9 times out of a total of 30 rolls.
So the probability of rolling a 4 on the next roll is:
9/30 = 3/10 = 0.3 = 30%
Therefore, based on the data given, the probability of the next roll of the die being a 4 is 30%.
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A box, in the shape of a rectangular prism, has a length of 3 1 2 inches, a width of 4 inches, and a height of 10 inches. What is the volume of the box?
Answer:
If u mean 312 inches then the answer is 12480in^3
Step-by-step explanation:
To solve volume do LxWxH which is Length times width time height.
How could you justify the answers from the video by graphing the solution to the inequality x – 4 < 15 on a number line?
By graphing the solution to the inequality x - 4 < 15 on a number line. The graph demonstrates that any number less than 19 satisfies the given inequality, allowing you to quickly verify the solution set.
To justify the answers from the video by graphing the solution to the inequality x - 4 < 15 on a number line, follow these steps:
1. Start by isolating the variable, x. To do this, add 4 to both sides of the inequality: x - 4 + 4 < 15 + 4, which simplifies to x < 19.
2. Now, you need to represent the inequality x < 19 on a number line. Begin by drawing a horizontal line and marking it with evenly spaced points. Label each point with consecutive integers, ensuring that 19 is among them.
3. Since the inequality is "less than" (x < 19) and not "less than or equal to," place an open circle at 19 on the number line. An open circle indicates that 19 is not included in the solution set.
4. To show that the solution consists of all values less than 19, draw an arrow starting from the open circle at 19 and extending to the left. This visually represents all the numbers that are smaller than 19.
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simplify:
x2− 2xz + xy − 2y
______________
x2+ xy − xz − yz
Answer:
Step-by-step explanation:
x^2-2xz+xy-2yx^2+xy-xz-yz =x^2+xy+xy-yz-2xz-xz-2yx^2
=x^2+xy+xy-yz-2xz-xz-2yx^2
=x^2+2xy-yz-3xz-2x^2y
4. Find the surface area of the net below.
7 m
7 m
5 m
Answer:
238
Step-by-step explanation:
Formula: 2(aXb + bXc + cXa)
let, a = 7 m
b = 7 m
c = 5 m
then,
2(7X7 +7X5 + 7X5)
= 2(49 + 35 + 35)
= 2 X 119
= 238
I want to know the answer pls
The measure of angle K is 47.2° ( nearest tenth)
What is cosine rule?The Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
From the rule;
c² = a²+b²+2abcosC
to find K we must find angle J
22² = 15²+15²+ 2× 15 × 15cos J
484 = 225+225+ 450cosJ
484 = 450+450cos J
450cos C = 484-450
450cos C = 34
cos J = 34/450
cos J = 0.075
J = cos^-1( 0.075)
J = 85.7°
The sum of angle in a triangle is 180°
x+x + 85.7 = 180
2x = 180-85.7
2x = 94.3
x = 94.3/2 = 47.2(nearest tenth)
therefore the measure of K is 47.2°
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Joanna went school supply shopping. She spent $20.94 on notebooks and pencils. Notebooks cost $2.05 each and pencils cost $1.08 each. She bought a total of 14 notebooks and pencils. How many of each did she buy? A. 6 notebooks; 8 pencils B. 9 notebooks; 5 pencils C. 4 notebooks; 10 pencils D. 11 notebooks; 3 pencils
According to given information, Joanna bought 6 notebooks and 8 pencils with total cost $20.94, which is answer choice A.
What is cost?
cost refers to the amount of money required to purchase or produce a particular item or service.
Let's assume that Joanna bought x notebooks and y pencils. We know that she bought a total of 14 items, so:
x + y = 14
We also know that the total cost of her purchase was $20.94, so:
2.05x + 1.08y = 20.94
We can use the first equation to solve for x:
x + y = 14
x = 14 - y
Substitute this expression for x in the second equation:
2.05x + 1.08y = 20.94
2.05(14 - y) + 1.08y = 20.94
28.7 - 2.05y + 1.08y = 20.94
-0.97y = -7.76
y = 8
Substitute this value of y back into the equation x + y = 14:
x + 8 = 14
x = 6
So, Joanna bought 6 notebooks and 8 pencils, which is answer choice A.
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Are these triangles similar, congruent or neither? What theorem supports your answer?
options:
Similar: AA
Similar: SAS
Similar: SSS
Congruent: HL
Congruent: ASA
Congruent: AAS
Neither
Answer:
These triangles are congruent by AAS.
What is the value of x?
Enter your answer in the box.
x =
Answer: x = 8
Step-by-step explanation:
x^2 + y^2 = c^2
x^2 + 6^2 = 10^2
x^2 + 36 = 100
100 - 36 = x^2
x^2 = 64
x = root 64
x = 8
Write a paragraph explaining What would happen to the number of rotations if your tires circumferences Decreased by 20%
Decreasing the circumference of a tire by 20% would increase the number of rotations required to travel a given distance.
What is Circumference ?
Circumference is the distance around the outside of a circle or a curved object. It is the measurement of the boundary line or the perimeter of the circular object. The circumference of a circle is calculated using the formula C = 2πr, where "C" is the circumference, "r" is the radius of the circle, and "π" (pi) is a mathematical constant approximately equal to 3.14159.
The number of rotations of a tire depends on its circumference, which is the distance around the outside of the tire. If the circumference of a tire decreased by 20%, it means that the distance around the outside of the tire would be 20% less than it was before. This would cause the tire to cover less ground in each rotation, which would result in an increase in the number of rotations needed to travel a given distance. Specifically, the number of rotations would increase by 20% for the same distance traveled, as the tire would need to rotate more times to cover the same distance due to the reduced circumference.
Therefore, decreasing the circumference of a tire by 20% would increase the number of rotations required to travel a given distance.
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the probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the . a. error factor b. confidence coefficient c. confidence level d. level of significance
The answer is option b. confidence coefficient.
Why the confidence coefficient represents the probability?To explain this, let's start by defining interval estimation. Interval estimation is a statistical method used to estimate an unknown population parameter (such as the population mean or proportion) by constructing a range of values, called a confidence interval, that contains the true value of the parameter with a certain level of confidence.
The level of confidence refers to the percentage of times that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated. For example, a 95% confidence level means that if we were to repeat the interval estimation procedure many times, we can expect to obtain a confidence interval that contains the true population parameter 95% of the time.
The confidence coefficient, on the other hand, is the probability that a particular confidence interval actually contains the true value of the population parameter. It is the complement of the significance level, which is the probability of making a Type I error (rejecting a true null hypothesis). For example, if we have a 95% confidence level, then the confidence coefficient is 0.95, and the significance level is 0.05.
Therefore, the confidence coefficient represents the probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated. It is a measure of how confident we are that the estimated interval contains the true population parameter.
In conclusion, the confidence coefficient is a crucial concept in interval estimation that reflects the probability of obtaining a confidence interval that includes the true population parameter. It provides a measure of the reliability and accuracy of the interval estimation procedure and helps researchers interpret the results of their analyses.
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In the figure, the vertices of are ( 0, 6 ), ( 8, 0 )and ( 5, 8 ). If ⊥ , then find
the length of altitude �
make x the subject for y=x-3
Answer:
x = y + 3
Step-by-step explanation:
y = x - 3 ( add 3 to both sides )
y + 3 = x , that is
x = y + 3
theta with hat on top subscript 1 and theta with hat on top subscript 2 are unbiased estimators of the same parameter theta. what condition must be imposed on the constants k subscript 1 and k subscript 2 so that the quantity 10 k subscript 1 theta with hat on top subscript 1 plus 10 k subscript 2 theta with hat on top subscript 2 is also an unbiased estimator of theta?
The scaled values sum up to 1/10.
How to find unbiased estimator?For a linear combination of unbiased estimators to be unbiased, the coefficients must add up to 1. That is:k subscript 1 + k subscript 2 = 1
E[10 k subscript 1 theta with hat on top subscript 1 + 10 k subscript 2 theta with hat on top subscript 2] = 10 k subscript 1 E[theta with hat on top subscript 1] + 10 k subscript 2 E[theta with hat on top subscript 2]
Since both estimators are unbiased, we have:E[theta with hat on top subscript 1] = theta
E[theta with hat on top subscript 2] = theta
Substituting these values into the above equation, :E[10 k subscript 1 theta with hat on top subscript 1 + 10 k subscript 2 theta with hat on top subscript 2] = 10 k subscript 1 theta + 10 k subscript 2 theta = theta (10 k subscript 1 + 10 k subscript 2) = theta
k subscript 1 + k subscript 2 = 1
10 k subscript 1 + 10 k subscript 2 = 10
Dividing both sides by 10:k subscript 1 + k subscript 2 = 1
k subscript 1/10 + k subscript 2/10 = 1/10
Therefore, their sum is equal to 1, and their scaled values sum up to 1/10.
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PLEASE HELP I AM BEGGING
Answer: The answer should be A, Isosceles
Step-by-step explanation: Have a great day!
A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a fixed cost of $32,782.00 each year, and $31,009.00 for each person employed for the year. For the next year, the company projects that labor costs will total $3,133,682.00. How many people does the company intend to employ next year?
Let's start by using the formula for the total labor cost:
Total labor cost = Fixed cost + (Number of employees x Cost per employee)
We know that the fixed cost is $32,782.00, and the cost per employee is $31,009.00. Let's represent the number of employees with the variable "x". So we have:
$3,133,682.00 = $32,782.00 + (x * $31,009.00)
Simplifying the equation:
$3,133,682.00 - $32,782.00 = x * $31,009.00
$3,100,900.00 = x * $31,009.00
x = $3,100,900.00 / $31,009.00
x ≈ 100
Therefore, the company intends to employ approximately 100 people next year.
the director of fitness for a large corporation with over 5,000 employees recorded the resting heart rate, in beats per minute (bpm) , for 35 employees who were known to wear activity trackers. the following boxplot summarizes the results. the director wants to estimate the resting heart rate for all employees with a confidence interval. have all conditions for inference been met?
The director of fitness for a large corporation with over 5,000 employees recorded the resting heart rate, in beats per minute (bpm), for 35 employees who were known to wear activity trackers. The following boxplot summarizes the results.
The director wants to estimate the resting heart rate for all employees with a confidence interval. Have all conditions for inference been met?Solution:Yes, all conditions for inference have been met.The given boxplot represents the resting heart rate, in beats per minute (bpm), for 35 employees who were known to wear activity trackers.
As the sample size is greater than 30, we can use the normal distribution to create a confidence interval. Additionally, there are no outliers in the data, which suggests that the data is normally distributed. Therefore, we can conclude that all conditions for inference have been met.
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An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds.
Let C represent the number of minutes the plane can fly through clear skies and R represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel.
56C+64R<9000
According to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff?
Step-by-step explanation:
The coefficient of C in the inequality 56C+64R<9000 represents the rate of fuel consumption while flying through clear skies. From the inequality, we can see that the rate of fuel consumption while flying through clear skies is 56 gallons per minute.
To find the initial fuel capacity of the airplane, we need to set the values of C and R to zero in the inequality 56C+64R<9000, since this represents the scenario where the plane flies entirely through clear skies and does not encounter any rain clouds.
56(0) + 64(0) < 9000
Simplifying the inequality, we get:
0 < 9000
This means that the inequality is true for any positive value of C and R, including C = 0 and R = 0. Therefore, the airplane has more than 0 gallons of fuel before takeoff, but the exact amount is not specified in the given information.
The given inequality is:
56C + 64R < 9000
We know that the airplane consumes fuel at a constant rate while flying through clear skies. Let the fuel consumption rate be F (in gallons per minute) and let the amount of fuel the airplane has before takeoff be T (in gallons).
We need to find the values of F and T that satisfy the given inequality.
First, we can simplify the inequality by dividing both sides by 8:
7C + 8R < 1125
Next, we can use the fact that the airplane consumes fuel at a rate of 64 gallons per minute while flying through rain clouds to write an expression for the total fuel consumption during R minutes:
64R
Similarly, the total fuel consumption during C minutes while flying through clear skies is:
FC
The total fuel consumption during both C and R minutes can be expressed as:
FC + 64R
We know that the total fuel consumption must be less than the initial amount of fuel, which is T. Therefore, we can write:
FC + 64R < T
Substituting FC = F * C, we get:
F * C + 64R < T
We can rearrange this inequality to solve for T:
T > F * C + 64R
Now we can use the inequality 7C + 8R < 1125 to solve for F and T.
Let's assume the airplane has enough fuel to fly for 1 hour (60 minutes) in clear skies and no rain clouds. Then C = 60 and R = 0. Substituting these values into the inequality, we get:
56(60) + 64(0) < 9000
3360 < 9000
This is true, so our assumption is valid.
Using the assumption that the airplane has enough fuel to fly for 1 hour in clear skies, we can solve for F and T:
T > F * C + 64R
T > F * 60 + 64(0)
T > 60F
Since we assumed the airplane has enough fuel to fly for 1 hour in clear skies, T must be greater than the amount of fuel consumed during that time:
T > F * 60
Combining these two inequalities, we get:
60F < T < 60F + 3360
Now we can choose any value of F between 0 and 64 that satisfies the inequality, and choose a value of T that is greater than 3360 + 60F. For example, we can choose:
F = 30 (assuming a fuel consumption rate of 30 gallons per minute in clear skies)
T = 4000 gallons (initial amount of fuel)
Substituting these values into the inequality, we get:
56C + 64R < 9000
56(60) + 64R < 9000
3360 + 64R < 9000
64R < 5640
R < 88.125
Therefore, the airplane can fly for 88.125 minutes (or approximately 1 hour and 28 minutes) through rain clouds before consuming all of its fuel, if it is flying at a rate of 64 gallons per minute. And if the airplane consumes fuel at a rate of 30 gallons per minute while flying through clear skies, it has 4000 gallons of fuel before takeoff