a high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 meter race. the coach split the 16 boys into two equal sized groups, where group 1 was given the energy drink and group 2 was not. the 100 meter race times were recorded during practice and shown in the table below. what inference can be made about the results?
Answers
To provide a meaningful inference about the results, I would need the table that shows the recorded 100-meter race times for both groups. Without the specific data, it is not possible to make any conclusive inference.
However, in a general context, to analyze the impact of giving an energy drink on performance during the 100-meter race, statistical methods can be used to compare the performance of the two groups.
Key statistical analyses could include:
1. Descriptive statistics: Calculating summary statistics such as mean, median, standard deviation, and range for the race times of both groups separately. This would provide an overview of the performance in each group.
2. Hypothesis testing: Conducting a hypothesis test, such as a t-test or Mann-Whitney U test, to determine if there is a significant difference in the race times between the group that received the energy drink and the group that did not. This would help assess if the energy drink had an impact on performance.
3. Confidence intervals: Constructing confidence intervals around the mean race times for each group to estimate the range within which the true population means lie.
4. Effect size: Calculating effect size measures, such as Cohen's d, to quantify the magnitude of the difference between the groups.
By conducting appropriate statistical analyses on the collected data, one can draw meaningful inferences about the effect of the energy drink on the performance of the high school track athletes.
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Related Questions
4 The figure below is a regular hexagonal right prism with a regular hexagonal pyramid carved into a base of the prism. Find the total surface area of the figure if the height of the prism and pyramid is 8 cm, and the length of one side of the hexagonal base of the prism and pyramid is 6 cm. ROUND ANSWER TO NEAREST SQUARE CENTIMETER Total Surface Area = cm²
Answers
The total surface area of the figure is 498 cm².
We are given that;
s = 6 cm, h = 8 cm
Using the properties of this special triangle, we can find that:
a = s/2√3 = 6/2√3 = 3/√3 cm b = √(h² + a²) = √(8² + (3/√3)²) = √(64 + 9/3) = √(73) cm
Now we can plug these values into the formulas and simplify:
Surface area of a hexagonal prism = 6s(a + h) = 6(6)(3/√3 + 8) = 36(9/√3 + 8) ≈ 432.47 cm² Surface area of a hexagonal pyramid = 3ab + 3bs = 3(3/√3)(√73) + 3(6)(√73) = 9√73 + 18√73 = 27√73 ≈ 159.12 cm² Area of a hexagonal base = (3√3/2)s² = (3√3/2)(6)² = (9√3)(6) ≈ 93.53 cm²
Total surface area of the figure = Surface area of prism + Surface area of pyramid - Area of common base = 432.47 + 159.12 - 93.53 = 498.06 cm²
Rounding to the nearest square centimeter=498 cm²
Therefore, by the area the answer will be 498 cm².
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Interpret, in a written description, what the graph is saying about the relationship between the variables. A graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line increases to 2 hours, is constant through 3 hours, and then increases through 6 hours. a. You leave home and drive for 6 hours with no stops. b. You leave home, drive for 1 hours at a constant speed, stop for 30 minutes, continue at the same speed, stop for 1 hour and then continue at the same speed as before. c. You leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally you continue at a slower (but constant) speed than before. d. You leave home, drive for 3 hours at a constant speed, and then stop for 2 hours. Finally you continue at the same speed as before. Please select the best answer from the choices provided A B C D
Answers
An interpretation of the graph about the relationship between the variables include the following: C. you leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally you continue at a slower (but constant) speed than before.
What is a position vs time graph?In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.
In this scenario, we can reasonably infer and logically deduce that the individual left his or her home and drove for 2 hours since the line increased to 2 hours. Furthermore, the speed is constant for the next one (1) hour before a stop.
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A right triangle has…?
A) three sides with the same length
B) two sides that are parallel
C) at least buvo congruent sides
D) Two sides that are perpendicular
Answers
Explanation:
Is it A? No, because a right triangle does not have all three sides with equal length. Only in a equilateral triangle will have all three equal sides of equal length.
Is it B? No, because a triangle has ZERO parallel lines. Remember parallel lines are like this | | in a triangle the lines are like this /\
Is it C? Yes, because a triangle has two sides of equal length, meaning it has two congruent sides.
Is it D? Yes, a right triangle has two sides that create the 90 degrees making it a right triangle. Perpendicular means that theirs two lines creating the 90 degree and a triangle has two perpendicular sides.
PLZ HELP! WILL MARK BRAINLIEST!! The graphs of linear functions f and g are shown on the graph. Which function is best represented by the graph of g?
A. g(x) =f(x)-4
B. g(x) = 1/3 f(x)
C. g(x) = f(x)-2
D. g(x)=3f(x)
Answers
Answer:
B
Step-by-step explanation:
f(x)=x (slope is 1, y-intercept is zero)
g(x) = (1/3)x (slope is (1/3), y-intercept is zero)
(1/3)x = (1/3)f(x)
Answer:
B
Step-by-step explanation:
as u notice the slop of f function is higher than g function so g(x) is approximately one third of function f and there are no shifts in g(×) so no need for sum of subtract .
How many feet of fence are needed to enclose a circular race track 1.5 miles long? (Hint: There are 5,280 feet in a mile.)
Answers
Answer:
I think it’s 7,920 feet
Step-by-step explanation:
I did 1.5 miles times the amount of feet ( 5,280 )
And got 7,920
At what point should an open circle be drawn?
Answers
The point that should an open circle be drawn exists (0, 0).
What is meant by function ?A formula, rule, or regulation that establishes the link between the independent variable and the dependent variable (the dependent variable). As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. Generally speaking, there are four different types of functions. based on element One to One Function, Many to One Function, Into Function, One to One and Into Function.The first equation in the system is f(x) = -x, for x < 0.
This means when x=0, f(x) = f(0) = 0.
Since we have the inequality x<0, this means at the point (0, 0),
the point will be open and not filled in.
Therefore, the correct answer is option b) (0, 0).
The complete question is:
The function f(x) is to be graphed on a coordinate plane
At what point should an open circle be drawn?
a) (–1, 0)
b) (0, 0)
c) (0, 1)
d) (1, 0)
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given class triangle (in file ), complete main() to read and set the base and height of triangle1 and of triangle2, determine which triangle's area is smaller, and output that triangle's info, making use of triangle's relevant methods. ex: if the input is: 3.0 4.0 4.0 5.0
Answers
Triangle2 has a larger area compared to triangle1 which has Base: 4.00 Height: 5.00 Area: 10.00
Given that 3.0 is triangle1's base, 4.0 is triangle1's height.
Area of triangle 1= 1/2×base×height
=1/2×3×4
=6 square units.
4.0 is triangle2's base, and 5.0 is triangle2's height.
Area of triangle 2= 1/2×4×5
=10 square units.
Area of triangle 2> area of triangle 1.
We can do this by writting a code as below:
import java.util.Scanner;
public class Triangle {
private double base;
private double height;
public Triangle(double base, double height) {
this.base = base;
this.height = height;
}
public double calculateArea() {
return 0.5 * base * height;
}
public double getBase() {
return base;
}
public double getHeight() {
return height;
}
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
double base1, height1, base2, height2;
// Read and set the base and height of triangle1
base1 = input.nextDouble();
height1 = input.nextDouble();
Triangle triangle1 = new Triangle(base1, height1);
// Read and set the base and height of triangle2
base2 = input.nextDouble();
height2 = input.nextDouble();
Triangle triangle2 = new Triangle(base2, height2);
// Determine which triangle's area is larger
double area1 = triangle1.calculateArea();
double area2 = triangle2.calculateArea();
if (area1 > area2) {
System.out.println("Triangle with larger area:");
System.out.printf("Base: %.2f Height: %.2f Area: %.2f%n",
triangle1.getBase(), triangle1.getHeight(), area1);
} else if (area2 > area1) {
System.out.println("Triangle with larger area:");
System.out.printf("Base: %.2f Height: %.2f Area: %.2f%n",
triangle2.getBase(), triangle2.getHeight(), area2);
} else {
System.out.println("Both triangles have the same area.");
}
}
}
The Triangle class represents a triangle and has methods to calculate its area (calculateArea()) and retrieve its base and height (getBase() and getHeight()).
In the main() method, the user is prompted to enter the base and height values for both triangle1 and triangle2.
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Given class Triangle (in file Triangle.java), complete main() to read and set the base and height of triangle1 and of triangle2, determine which triangle's area is larger, and output that triangle's info, making use of Triangle's relevant methods. Ex: If the input is: 3.0 4.0 4.0 5.0 where 3.0 is triangle1's base, 4.0 is triangle1's height, 4.0 is triangle2's base, and 5.0 is triangle2's height, the output is: Triangle with larger area: Base: 4.00 Height: 5.00 Area: 10.00
If 9 exercise books cost
$540.00. how much will
14 of such cost?
Answers
Answer:
$840 dollars
Step-by-step explanation:
Divide 540 by 9 to get the cost of 1 book then multiply it by 14
Answer:
$840
Step-by-step explanation:
\(\frac{14}{9}: \frac{y}{540}\)
y × 9 = 540 × 14
9y = 7560
9y ÷ 9 = 7560 ÷ 9
y = 840
Cuanto es 4n - 2 =-18
Answers
6) A TV and external speakers cost $1,020. The cost of the TV is double that of the speakers.
How much do the TV and the speakers cost? Show your work.
Answers
we start with 1020, and it is split into three groups of 340. if the tv is double the speakers then 340 doubled is 680. 340+680=1020.
Why are Trig ratios only for right triangles?
Answers
For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
What are Trigonometric functions?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here,
We have to find out why trigonometric ratios are used only for right triangles.
We concluded that when we are dealing with triangles other than right triangles, the solution is to draw a perpendicular line to create right triangles. For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
Hence, for Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
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*EXTRA POINTS*
Answer the boxes :)
First Dropbox option is “A geometric or an arithmetic” second box options is “common difference or common ratio” third box you type in.
Answers
Answer:
geometric sequence
common ratio
4
Step-by-step explanation:
This is a geometric sequence because we are multiplying each number by 4
because it's geometric we have a common ratio
you get this by dividng the second number by the frist
12/3=4
High-powered experimental engines are being developed by the Hendrix Motor Company for use in their new sports coupe. The engineers have calculated the maximum horsepower for the engines to be 630HP. Sixteen engines are randomly selected for testing. Perform a hypothesis test to determine whether the data suggests that the average maximum horsepower for the experimental engine is significantly different than the maximum horsepower calculated by the engineers. Assume the data are normally distributed and use a significance level of 0.05. Maximum Horsepower (HP) 643 641 598 621 644 601 649 652
671 653 666 654 670 670 666 654 Compute the value of the test statistic.
Answers
Sixteen randomly selected engines were tested, and their maximum horsepower values are provided. Assuming the data is normally distributed and using a significance level of 0.05, the test statistic is computed to assess the hypothesis.
To perform the hypothesis test, we will use a t-test for the mean. The null hypothesis (H0) assumes that the average maximum horsepower for the experimental engines is equal to the calculated maximum horsepower of 630HP. The alternative hypothesis (Ha) assumes that the average maximum horsepower is significantly different from 630HP.
Using the provided data, we calculate the sample mean of the maximum horsepower values:
(643 + 641 + 598 + 621 + 644 + 601 + 649 + 652 + 671 + 653 + 666 + 654 + 670 + 670 + 666 + 654) / 16 = 651.0625
Next, we calculate the sample standard deviation to estimate the population standard deviation:
s = √[((643 - 651.0625)^2 + (641 - 651.0625)^2 + ... + (654 - 651.0625)^2) / (16 - 1)] ≈ 24.663
Using the formula for the t-test statistic:
t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)
t = (651.0625 - 630) / (24.663 / √16) ≈ 2.027
Finally, comparing the calculated t-value of 2.027 with the critical t-value at a significance level of 0.05 (using a t-distribution table or software), we determine whether to reject or fail to reject the null hypothesis. If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that there is a significant difference between the average maximum horsepower and the calculated maximum horsepower.
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-6 + m = -23
I need work and answer
Will give the bainliest
Answers
Answer:
The answer for \(m\) :
\(m = -17\)
Step-by-step explanation:
Solve for \(m\) :
\(-6 + m = -23\)
Add both sides by 6:
\(-6 + 6 + m = -23 + 6\)
\(m = -17\)
So, the answer is \(x = -17\)
What is population function in statistics?
Answers
The group of things from which data are taken for a statistical research is referred to as a population in statistics. A data pool for study might consist of numerous things, many individuals, etc.
what is statistics?large-scale numerical data collection and analysis, especially with the aim of extrapolating proportions in the total from those in a representative sample.
The study and development of techniques for gathering, processing, interpreting, and presenting empirical data are the focus of the science of statistics. It could be a collection of things, a gathering of people, etc. It serves as the study's data set.
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The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the numbers
Answers
Answer:
a = 27
b = 38
c = 19
Step-by-step explanation:
a + b + c = 84
b = 2c
a = 8+c
8+c +2c+c = 84
4c + 8 = 84
4c = 76
c = 19
b = 2(19) = 38
a = 8 + 19 = 27
4598÷101 with a remainder
Answers
Answer:
45 remainder 52
Step-by-step explanation:
if jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?
Answers
Without knowing the specific details of the car, its condition, and Jones' driving habits, it is impossible to accurately determine the probability of her getting at least 20,000 additional miles out of the car. However, if the car has been well-maintained and has low mileage.
the probability may be higher than if the car is older and has high mileage. Additionally, Jones' driving habits, such as how often she drives and the conditions in which she drives, may also impact the probability. Ultimately, it is difficult to determine an exact probability without more information.
To answer your question, we first need to know the total number of possible outcomes (i.e., the total mileage a car can provide) and the number of favorable outcomes (i.e., the car providing at least 20,000 additional miles).
Assuming we have that information, here's how to calculate the probability:
Step 1: Identify the total number of possible outcomes (let's say N).
Step 2: Identify the number of favorable outcomes (let's say F), where the car provides at least 20,000 additional miles.
Step 3: Calculate the probability by dividing the number of favorable outcomes (F) by the total number of possible outcomes (N).
= F / N
In conclusion, the probability of Jones getting at least 20,000 additional miles from the car after her purchase depends on the total number of possible outcomes and the number of favorable outcomes. You will need to provide this information to calculate the exact probability.
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Alex drove for 3 hours at an average speed of 60 miles per hour and for 2 hours at 45 miles per hour. What is his average speed for the whole journey?
Answers
Average speed for the whole journey = 53.67 miles per hour.
What is Speed?
A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.
The Average speed:-
"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".
= total distance/total time
According to the Question
We have;
-------> ALEX drove for 3 hours at a rate of 60 miles per hour.
-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.
We know that;
speed = distance/ time
Now we can write it as;
distance = speed *time
Consider the first statement of the Question;
-------> John drove for 3 hours at a rate of 60 miles per hour.
Here, speed = 60 miles per hour.
Time = 3 hours.
Putting in the above then we get;
distance = 60*3
distance =180
Consider the second statement of the Question;
-------> John drove for 2 hours at a rate of 45 miles per hour.
Here, speed = 45 miles per hour.
Time = 2 hours.
Putting in the above then we get;
distance = 45*2
distance =90
-----> Now find the Average speed of John.
We have;
The distance in the first part;
miles. at time 3 hours.
The distance in the second part;
miles. at time 2 hours.
We have;
The average speed = 53.67 miles per hour
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Can someone help me?
Answers
Answer:
1 feet
Step-by-step explanation:
15-14
From 2010 to 2015, the number of desktop computers shipped annually _____.
a. Increased by 10x
b. Increased by 5x
c. Increased by 2x
d. Decreased
Answers
Hope this helps ! !
help, no links please & thanks!
Answers
Answer:
160
Step-by-step explanation:
Answer:
4√5.
Step-by-step explanation:
Help please will give brainliest
Answers
Answer: 16(x-5)
Step-by-step explanation: I think
X^2-5x-6
X^2+3x-40
X^2+3x-4
Answers
x² - 5x - 6
= x² + x - 6x - 6
= x(x + 1) - 6(x + 1)
= (x - 6) (x + 1)
x² + 3x - 40
= x² + 8x - 5x - 40
= x(x + 8) -5(x + 8)
= (x - 5) (x + 8)
x² + 3x - 4
= x² + 4x - x - 4
= x(x + 4) -1(x + 4)
= (x - 1) (x + 4)
Please hellppskskdkkdf
Answers
how do I factor trinomials of a form ax^2+bx+c when a=1
In one paragraph
Answers
Answer:
Trinomials in the form \(x^2+bx+c\) can often be factored as the product of two binomials.Step-by-step explanation:
As we know that a polynomial with three terms is said to be a trinomial.
Considering the trinomial of a form
\(ax^2+bx+c\)
As
a = 1
so
\(x^2+bx+c\)
Trinomials in the form \(x^2+bx+c\) can often be factored as the product of two binomials.For example,
\(x^2+7x+10\)
\(=\left(x^2+2x\right)+\left(5x+10\right)\)
\(=x\left(x+2\right)+5\left(x+2\right)\)
\(\mathrm{Factor\:out\:common\:term\:}x+2\)
\(=\left(x+2\right)\left(x+5\right)\)
Therefore, Trinomials in the form \(x^2+bx+c\) can often be factored as the product of two binomials.
The ponderal indexis a measure of the "leanness" of a person. A person who is h inches tall and weighs w pounds has a ponderal index I given by I = a. Compule the ponderal index for a person who is 76 inches tall and weighs 192 pounds: Round to the nearest hundredth. b. What is a man's weight if he is 77 inches tall and has a ponderal index of 11.56 ? Round to the nearest whole number. a. The ponderal index for a person who is 76 inches tall and weighs 192 pounds is (Round to the nearest hundredth as needed.)
Answers
The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.
To compute the ponderal index, we need the formula and the value of the constant "a."
a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.
b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.
To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.
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y−1=−2(x−2) in slope intercept form
Answers
Answer:
\(y = - 2x + 5\)
Step-by-step explanation:
Simply simplify the equation from what it is to the slope intercept format:
\(y = mx + b\)
Step-by-step explanation:
Hey there!
We know;
The slope intercept form of equation is;
y = mx+c
So, let's try to take it in this form.
(y-1) = -2(x-2)
Multiply -2 and (x-2)
(y-1) = -2x + 4
Take '-1' to right side.
y = -2x+4+1
y = -2x+5
Therefore, the equation is y = -2x+5.
Hope it helps...
A sampling distribution is: Group of answer choices The average deviation from the mean in a data set. A distribution of statistics (like the mean) that are derived from a very large number of random samples. A measure of whether or not a sample is truly random. The process of allowing a few numbers to summarize many numbers
Answers
A sampling distribution refers to a distribution of statistics, such as the mean or proportion, that is derived from a large number of random samples. It provides valuable insights into the behavior.
A sampling distribution is a distribution of statistics, such as the mean or proportion, that are derived from a large number of random samples. It represents the variability and patterns that arise from taking repeated samples from a population.
In statistical analysis, it is often not feasible or practical to collect data from an entire population. Instead, we rely on taking samples to make inferences about the population. The sampling distribution allows us to understand how the statistics of interest vary from sample to sample and provides valuable information about the accuracy and precision of our estimates.
By analyzing the sampling distribution, we can assess the reliability of our sample statistics and make inferences about the population parameters. It helps us understand the spread and central tendency of the statistics, and it guides us in drawing conclusions and making predictions based on the collected sample data.
In summary, a sampling distribution represents the distribution of statistics derived from multiple random samples and provides insights into the behavior and properties of these statistics in relation to the population.
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A sampling distribution refers to a distribution of statistics, such as the mean, that are derived from a large number of random samples taken from the same population. It represents the possible values that the statistic can take on when the same sampling procedure is used repeatedly.
The sampling distribution allows us to make inferences about the population parameter based on the statistics calculated from the samples. It is not the average deviation from the mean in a data set, a measure of whether or not a sample is truly random, or the process of allowing a few numbers to summarize many numbers. The sampling distribution shows the distribution of these sample means. It helps us understand how the sample means vary from sample to sample and gives us an idea of the range of values the population mean could take on. This information is useful in making inferences and drawing conclusions about the population based on the sample data. Imagine you have a population, let's say all the students in a school, and you want to know the average height of the students. It is practically impossible to measure the height of every student, so instead, you take a random sample of students and calculate the average height of that sample. If you repeat this process many times with different random samples, you will get a collection of sample means.
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Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 4)(0,4) and (2, 324)(2,324).
Answers
According to the question the exponential function that goes through the two points is: \(y = 4(9^x).\)
Given,
We must first determine the values of a and b before we can build an exponential function with the form y = abx that passes through the points (0,4) and (2,324).
Using the point (0,4), we have:
4 = ab^0
4 = a(1)
a = 4
Using the point (2,324), we have:
324 = 4b^2
b^2 = 81
b = 9 (since b must be positive)
So the exponential function that goes through the two points is:
y = 4(9^x)
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