After establishing a correlation, a researcher can use a regression equation to predict the dependent variable from the independent variable.
Once a reasonably high correlation between two variables has been established, a researcher can employ a regression equation to make predictions about the dependent variable based on the independent variable. Regression analysis allows for the estimation of the relationship between the variables and provides a mathematical model that describes this relationship.
By utilizing the regression equation, the researcher can input values of the independent variable to obtain predicted values of the dependent variable. This enables the researcher to make informed predictions or projections regarding the behavior or outcome of the dependent variable.
However, it is important to consider the limitations and assumptions of the regression model when interpreting and applying the predictions obtained from the equation.
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Insert 3 arithmetic means between 10 and -10 (INSERT SOLUTION)
Answer:
5, 0, -5Step-by-step explanation:
Numbers in sequence are:
10, a, b, c, -10The difference between end points:
-10 - 10 = -20Common difference of 5 terms:
-20 / (5 - 1) = - 5The missing numbers are:
a = 10 - 5 = 5b = 5 - 5 = 0c = 0 - 5 = -513. Each edge of a cube is the same length. What is the surface area of the 1
cube represented by the net shown?
Answer:
6 is the answer
Step-by-step explanation:
Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
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You buy 1 shirt and 2 pair of pants for $31 Your friend buys 3 shirts and 1 pair of pants for $38
Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.
What is System of Linear EquationA system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.
A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.
In this problem, we need to define our variables and the solve the equations.
Let;
x = cost of shirty = cost of pantx + 2y = 31 ...eq(i)
3x + y = 38 ...eq(ii)
Solving both equations
x = 9, y = 11
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If 100 ft building cast a 25 ft shadow, how tall is a person if they casts a 1.5ft shadow?
To find the height of the person, we can set up a proportion using the given information.
Let's denote the height of the person as 'x'.
The proportion can be set up as follows:
(Height of building) / (Shadow of building) = (Height of person) / (Shadow of person)
Plugging in the given values:
100 ft / 25 ft = x / 1.5 ft
To solve for 'x', we can cross multiply:
(100 ft) * (1.5 ft) = (25 ft) * x
150 ft = 25 ft * x
Dividing both sides of the equation by 25 ft:
x = 150 ft / 25 ft
x = 6 ft
Therefore, the person is 6 feet tall.
In conclusion, the height of the person is 6 feet, based on the given proportions and calculations.
The height of the building is 100ft and the building cast a shadow of 25ft.
A person cast a shadow of 25ft so by using the proportion comparison the height of a person is 6ft.
Given that the height of a building is 100ft and the length of its shadow is 25ft. Let's assume that the height of a person is x whose length of the shadow is 1.5ft.
The ratio of the building's height to its shadow length is the same as the person's height to their shadow length.
Therefore, by using the proportion comparison we get,
(Height of building) / (Shadow of the building) = (Height of person) / (Shadow of person)
100/25= x/1.5
4= x/1.5
Multiplying both sides by 1.5 we obtain,
1.5×4= 1.5× (x/1.5)
x =1.5×4
x=6.0
Hence, the height of a person is 6ft if they cast a shadow of 1.5ft.
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What is the slope of (1,2) and (5,2) (remember to use the slope formula y1-y2/x1-x2 and
reduce) 1
Answer:
Zero slope
Step-by-step explanation:
When it is reduced you end up with 0/4 which is a zero slope.
B
Problem Solving
HABITS
measure of
Be Precise Describe the rays of an angle that has a measure of 1/2 turn
The rays of the angle from the measure 1/2 turn is 180 degrees
Describing the rays of the angle from the measureFrom the question, we have the following parameters that can be used in our computation:
Angle measure = 1/2 turn
By definition, rays have two endpoints where they extend indefinitely on one of the endpoints
As a general rule, we have
a full turn = a full circle = 360°half a turn = 180°Substitute the known values in the above equation, so, we have the following representation
Angle measure = 1/2 * 360
Evaluate
Angle measure = 180
Hence, the angle measure is 180 degrees
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Only for snowflake plz no one else
Answer:
hey....
Step-by-step explanation:
Answer:
(my other account) hi...
Step-by-step explanation:
what is the answer for this question
(0-1)(0+1)
Answer:
Step-by-step explanation:
-1
Aa I just wanna make sure I got the right answers I answered C+D
Answer:
I think it's only D but Im not sure
Ronald compared the rate at which water is used from two different water storage tanks by measuring the volume of the water remaining. The results are shown in the table
The statement that best describes the results is in tank 1, the rate at which water is used is higher.
What is the rate for each tank?Tank 1:
Total of water used/ time177.12/4 = 44.28 gallons per hourTank 2:
160/ 4 = 40 gallons per hourWhat are the results?The rate in tank 1 is higher than the rate in tank 2.
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What is the value of x for the given equation?
4 – 2(x + 7) = 3(x + 5)
x =____.
Answer: x = -5
Step-by-step explanation:
4−2(x+7)=3(x+5)4-2(x+7)=3(x+5)Simplify 4−2(x+7)4-2(x+7).Tap for more steps...−2x−10=3(x+5)-2x-10=3(x+5)Simplify 3(x+5)3(x+5).Tap for more steps...−2x−10=3x+15-2x-10=3x+15Move all terms containing xx to the left side of the equation.Tap for more steps...−5x−10=15-5x-10=15Move all terms not containing xx to the right side of the equation.Tap for more steps...−5x=25-5x=25Divide each term in −5x=25-5x=25 by −5-5 and simplify.Tap for more steps...x = −5
WILL MARK BRAINLIEST!!
The volume of a cylinder is 1,386 m3 and its radius is 7 m. What is its height to the nearest whole number?
Answer:
h = 9
Step-by-step explanation:
\(volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9\)
One month, Diane worked 6 hours more than Elle. Together they worked 20 hours. How many hours did Diane work? How many hours did Elle work?
The amount of money in an investment is modeled by the function
A
(
t
)
=
850
(
1.0623
)
t
. The variable
A
represents the investment balance in dollars, and
t
the number of years.
What is the doubling time for the investment? Round answer to 1 decimal place.
The time for the investment if, A (t) = \(850 (1.0623)^t\) Is 11.4 years.
What is amount?
The entire amount repaid at the conclusion of the borrowing period is indicated by the letter (A). A = P(1 + RT) is another way to express the simple interest total amount formula. Here, A stands for the total sum after the specified time.
Given:
The amount of money in an investment is modeled by the function,
A (t) = \(850 (1.0623)^t\)
The number of years can also be represented by n,
A (n) = 850 (1.0623)ⁿ
If the amount is doubled then,
A (n) = 1700 = 850 (1.0623)ⁿ
2 = (1.0623)ⁿ
Take log both sides, the above expression can be written as,
n = log 2 / log (1.0623)
n = 0.30 / 0.0262
n = 11.429 or 11.4 years
Thus, the time t will be 11.4 years.
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What do I do in this question
Step-by-step explanation:
X × 3 + 4 = 22
X × 3 = 22 - 4
X × 3 = 18
X = 18 /3
X = 6
Please tell me how to do this or give me the answer either one is fine with me!!!!
:)
Answer:
16.85 cm²
Step-by-step explanation:
Find the area of the small circle then subtract the area of the large circle by the small circle
Area of small circle :
πr², where r = 4cm
π(4²) = 50.27 cm²
67.12 - 50.27 = 16.85 cm²
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true? They will be parallel. They will be the same line. They will be perpendicular. They will intersect, but they won't be perpendicular.
Answer:
They will be parallel.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.
If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.
the following declaration statement is constructed incorrectly. correct the statement.int[] hours = 8, 12, 16;
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
It looks like you are trying to create an integer array in Java called "hours" and initialize it with the values 8, 12, and 16. The given statement has incorrect syntax.
Declare the integer array using "int[]" followed by the variable name "hours".
This tells the Java compiler that you want to create an array of integers called "hours".
Use the assignment operator "=" to assign values to the array.
Enclose the values you want to assign to the array within curly braces "{" and "}" and separate each value with a comma.
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
Now, the "hours" integer array is initialized correctly with the given values.
The syntax for declaring and initializing an integer array in Java is:
```java
data Type[] array
Name = {value1, value2, value3, ...};
```
In this case, "data Type" is "int", "array
Name" is "hours", and the values are 8, 12, and 16.
Remember to keep your code clean and concise to avoid syntax errors and make it easier for others to understand.
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Simultaneous equasions x + 2y = 9 and 3x + y = 2
Answer:
x=-1 y=5
Step-by-step explanation:
x+2y=9
3x+y=2
If we multiply the second equation by -2 we get
-6x-2y=-4
then if we add this to x+2y=9 we get
-5x=5
if we multiply both sides by -1 we get
5x=-5
divide both sides by 5 we get
x=-1
multiplying the first equation by -3 we get
-3x-6y=-27
adding this to the original second equation we get
-5y=-25
multiply both sides by -1
5y=25
divide both sides by 5
y=5
What is the percent increase ???? Help please
Answer:
25 percent increase
Step-by-step explanation:
im pretty sure
Find both w AND x. Thanks!
Answer:found it
Step-by-step explanation:
398643-457854=4574
Add -0.25+ 3 1/6+ 2 1/12. Write in simplest form
Answer: 5
Step-by-step explanation: because
What is 5pi 4 radians in degree
Answer: 225°
Step-by-step explanation:
To convert radians to degrees, multiply by 180/π (1 rad = 180° )
(5π/4) * (180/π/) = 225°
How many different 9-letter strings can be made by rearranging the characters in the word "WISCONSIN"? 96 O9!/8 O C(9,6) 9!
9!
---------------
2! x 2! x 2!
find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. label the points of intercepts of the curves. sketch the region, the solid, and a typical disk or washer . show all your work.
The volume of the solid the region defined by the given curves must be rotated about the x-axis is V = \(\frac{384\pi }{5}\).
Given that,
The region defined by the given curves must be rotated about the x-axis to determine the solid's volume, which is y =6 -x², y =2.
We know that,
Take the equation of the curves about the x- axis
y =6 -x², y =2.
Substitute y = 2 in equation y = 6 - x²
2 = 6 - x²
-x² = 2-6
x² = 4
Taking square root on both sides
x = ±2
Now, volume formula is define by using washer method
V = \(\pi \int\limits^a_b {[f(x)]^2 - [g(x)]^2} \, dx\)
V = \(\pi \int\limits^2_{-2} {[6-x^2]^2 - [2]^2} \, dx\)
V = \(\pi \int\limits^2_{-2} {(36 + x^4 - 12x^2 - 4}) \, dx\)
V = \(\pi \int\limits^2_{-2} {(x^4 - 12x^2 - 32)} \, dx\)
V = \(\pi( [\frac{x^5}{5}] - 12\times\frac{x^3}{3} -32x)^2_{-2}\)
V = \(\pi[( [\frac{2^5}{5}] - 12\times\frac{2^3}{3} -32(2))-([\frac{-2^5}{5}] - 12\times\frac{-2^3}{3} -32(-2))]\)
V = \(\pi[( [\frac{32}{5}] - 4 \times 8 -64)-( [\frac{-32}{5}] - 4\times(-8) +64)]\)
V = \(\pi[( [\frac{32}{5}] - 32 -64)-( [\frac{-32}{5}] +32 +64)]\)
V = \(\pi( [\frac{384}{5}] )\)
V = \(\frac{384\pi }{5}\)
Therefore, The volume of the solid is V = \(\frac{384\pi }{5}\)
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Q9 The number that happens the most: *
A Mean
B Median
C Mode
D Range
Answer:
C
Step-by-step explanation:
The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
2/3a= -15 - a Please Explain
Hi there! :)
Answer:
a = -9
Step-by-step explanation:
Starting with:
2/3a = -15 - a
Solve for 'a' by isolating the variable:
2/3a = -15 - a
On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:
2/3a = -15 - 3/3a
Add 3a/3 to both sides:
5/3a = -15
Divide both sides by 5/3, or multiply by its reciprocal (3/5)
5/3a(3/5) = -15(3/5)
a = -9
The value of the z-scores in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following: (Hint: When coming up with your answer, consider how changing the corresponding value in the z formula would change things if its value was increased by 10, 100, 1000, etc. while all other values constant.)
Increasing the difference between the sample mean and the original population mean will result in a(n) (increase/decrease) ______ in the absolute value of z, and a(n) (increase/decrease) ______ in the probability of obtaining a sample with that mean.
Increasing the population standard deviation will result in a(n) (increase/decrease) _____in the absolute value of z, and a(n) (increase/decrease) ______in the probability of obtaining a sample with that mean.
Increasing the number of scores in the sample will result in a(n) (increase/decrease) _____ in the absolute value of z, and a(n) (increase/decrease)______in the probability of obtaining a sample with that mean.
Answer:
Explained below.
Step-by-step explanation:
The z-test statistic is given as follows:
\(Z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\)
Here,
\(\bar X=\text{Sample Mean}\\\\\mu=\text{Population Mean}\\\\\sigma=\text{Population standard deviation}\\\\n=\text{Sample size}\)
The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
(i)
The difference between the sample mean and the original population mean are directly proportional to the z-test statistic.
So, increasing the difference between \(\bar X\) and \(\mu\) will lead to an increase in the z-score.
And as the Z-score increases the p-value of the test decreases.
Thus, the complete statement is:
"Increasing the difference between the sample mean and the original population mean will result in an increase in the absolute value of z, and a decrease in the probability of obtaining a sample with that mean."
(ii)
The population standard deviation is inversely proportional to the z-test statistic.
So, increasing the population standard deviation will lead to a decrease in the z-score.
And as the Z-score decreases the p-value of the test increases.
Thus, the complete statement is:
"Increasing the population standard deviation will result in a decrease in the absolute value of z, and an increase in the probability of obtaining a sample with that mean"
(iii)
The number of scores in the sample is directly proportional to the z-test statistic.
So, increasing the number of scores in the sample will lead to an increase in the z-score.
And as the Z-score increases the p-value of the test decreases.
Thus, the complete statement is:
"Increasing the number of scores in the sample will result in an increase in the absolute value of z, and an decrease in the probability of obtaining a sample with that mean."
Points A and B have opposite x-coordinates but the same y-coordinates.
On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.
How many units away are each of the points from the y-axis?
Answer:4
Step-by-step explanation:
Answer:
Bru its C
Step-by-step explanation: