helpp ! look at the pic help me asap

The explanatory variable, also known as the independent variable, is the factor that is being manipulated to observe its effects on the outcome.

A variable used in statistical analysis to explain or forecast the outcome of a dependent variable is referred to as an explanatory variable. It is also known as an independent variable or predictor. It stands for an element or circumstance that could affect the dependent variable. Explanatory variables assist researchers comprehend the causes or drivers behind a specific occurrence by providing information about the link between various components. Researchers can examine the effects of modifying or detecting changes in the explanatory variables on the dependent variable. By enabling the discovery of patterns, trends, and correlations, this study offers insightful information regarding the variables that influence the observed results. Explanatory factors are important in many disciplines, including the social sciences, economics, psychology, and medical research.

In this study, the researcher is interested in determining the relationship between the amount of time spent studying and the score on a statistics exam. The explanatory variable, also known as the independent variable, is the factor that is being manipulated to observe its effects on the outcome. In this case, the explanatory variable is the "amount of time spent studying" for the exam.

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Step-by-step explanation:

a = coffcient of x ² = - 2

b = cofficient of x = 12

c = constant term = 3

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The solution to the equation 45 ≡ 7 (mod 31) is x = 9 in Z/31. In the ring Z/31, the units are the elements that have a multiplicative inverse. These units are the numbers that are coprime to 31.

Let's list out the units in Z/31 and find their inverses:

Units in Z/31: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30}

To find the inverse of each unit [a], we need to find [b] such that ab ≡ 1 (mod 31), or in other words, ab divided by 31 leaves a remainder of 1.

Inverse pairs:

1: 1

2: 16

3: 21

4: 8

5: 25

6: 26

7: 9

8: 4

9: 7

10: 22

11: 19

12: 17

13: 29

14: 24

15: 28

16: 2

17: 12

18: 14

19: 11

20: 30

21: 3

22: 10

23: 27

24: 14

25: 5

26: 6

27: 23

28: 15

29: 13

30: 20

Now let's solve the equation 45 ≡ 7 (mod 31) using the information we have.

We need to find an integer x such that 45x ≡ 1 (mod 31). Since 7 is the multiplicative inverse of 45 in Z/31, we have:

45 * 7 ≡ 1 (mod 31)

The left-hand side can be computed as:

315 ≡ 9 (mod 31)

Therefore, the solution to the equation 45 ≡ 7 (mod 31) is x = 9 in Z/31.

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The distribution of X^2Y is given by the integral ∫(from 0 to ∞) (e^(-y)/(2y)) dy, which needs to be evaluated to determine the distribution.

She distribution of X^2Y is given by the integral ∫(from 0 to ∞) (e^(-y)/(2y)) dy, which needs to be evaluated to determine the distribution.

To solve the integration ∫(from 0 to ∞) ∫(from 1 to ∞) e^(-x^2y) dx dy, we can use a change of variables. Let's introduce a new variable u = x^2y.

First, we find the limits of integration for u. When x = 1, u = y. As x approaches infinity, u approaches infinity as well. Therefore, the limits for u are from y to infinity.

Next, we need to find the Jacobian of the transformation. Taking the partial derivatives, we have:

∂(u,x)/∂(y,x) = ∂(x^2y,x)/∂(y,x) = 2xy.

Now, let's rewrite the integral in terms of the new variables:

∫(from 0 to ∞) ∫(from 1 to ∞) e^(-x^2y) dx dy = ∫(from 0 to ∞) ∫(from y to ∞) e^(-u) (1/(2xy)) du dy.

Now, we can integrate with respect to u:

∫(from 0 to ∞) (-e^(-u)/(2xy)) ∣ (from y to ∞) dy = ∫(from 0 to ∞) (e^(-y)/(2y)) dy.

This integral is a known result, and by evaluating it, we obtain the distribution of X^2Y.

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The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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The 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.

Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, the 2-, 10-, and 100-year peak floods for a normal distribution can be found as follows:

Formula used in finding the peak flood is as follows:

Q_T= Q_m + K_T

σ

Where Q_T is the flow for a given period,

Q_m is the mean flow, K_T is the coefficient of skewness, and σ is the standard deviation of the flows.

For a normal distribution, K_T= frac{\text{duration of period in years}-1}{2}\times\frac{\text{duration of period in years}+1}{2}

Substitute the mean and standard deviation to the formula above:

When the period of interest is 2 years, the coefficient of skewness is calculated below:

[{{K}_{T}}=\frac{\text{(2-1)(2+1)}}{2}=1\]

Also, K_{T} is 1 for the 10-year and 100-year flood.

When these values are computed, we get the following values:

Q_{2}=3500+1(2000)=5500 \text{ cfs}

Q_{10}=3500+1(2000)=5500 \text{ cfs}

Q_{100}=3500+1(2000)=5500 \text{ cfs}

Therefore, the 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.

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The possible key design is 262144.

Algebra is a branch of mathematics that uses mathematical expressions to aid in the representation of problems or situations. In algebra, we use numbers with definite or fixed values, such as 2, -1, 0.5, and so on. In algebra, variables such as x, y, and z are used in addition to numbers.

Given that keys for antique cars had nine parts, with four patterns for each part

We have to determine how many different key designs are possible for these cars

Number of designs possible

= 4x4x4x4x4x4x4x4x4

= 4^9

= 262144

Therefore the possible key design is 262144

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After any particular a, the next a in the sequence must appear exactly 2 or 3 positions down the line. In this case, we start at position b and end at position 19. answer is 65

i.e. we move a total of 18 positions down the line. Therefore, we must add a series of c's and d's to get 18. There are several ways to do this:

Case 1: nine c's - there is only 1 way to arrange them.

Case 2: two d's and six c's - there are 28 ways to arrange them.

Case 3: four d's and three c's - there are 35 ways to arrange them.

Case 4: six c's - there is only 1 way to arrange them.

Summing the four cases gives 1+28+35+1 = 65

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Answer:

1) 25deg. Angle EGF

2) 25deg. Angle BGC

3) Angle 2 and BGC or Angle 1 and EGF

Answer:

-1854

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Given :

Two pyramid with same volume .

To Find :

If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B .

Solution :

\(V_a=V_b\)

Volume of pyramid is given by :

\(V=\dfrac{\text{Area of base}\times height}{3}\\\\V=\dfrac{Ah}{3}\)

Now , h'=3h

\(V'_b=\dfrac{Ah'}{3}\\\\V'_b=3\dfrac{Ah}{3}\\\\V'_b=3V_a\)

Therefore , new volume of pyramid B is 3 times the value of pyramid A .

Hence , this is the required solution .

Answer:

Yes they are both correct.

Step-by-step explanation:

yes they are both correct.

In response to the given query, we can state that Therefore, for the initial equation payment, the principle received was $224.93, the interest was $18.67, and the new principal was $2,575.07.

A mathematical equation is a process that links two statements and indicates equivalence with the equals sign (=). In mathematics, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two lines that are written on opposite sides of a letter. In many cases, the logo and the particular program are identical. as in 2x – 4 = 2, for instance.

P = (r * A) / (1 - (1 + r)^(-n))

A = $2,800.00

r = 8% / 12 = 0.00666666667

n = 12

These numbers allow us to determine the weekly payment:

P = (0.00666666667 * $2,800.00) / (1 - (1 + 0.00666666667)^(-12)) = $243.60

the amount due each month is $243.60.

Utilizing the following method, we can determine the first payment's breakdown:

Interest is calculated as follows: New Principal is equal to Current Principal minus Monthly Payment - Interest Interest = Current Principal * Monthly Interest Rate

As for the initial payment:

Monthly Interest Rate = 8% / 12 = 0.00666666667 Current Principal: $2,800.00

Interest equals $2,800.00 times 0.00666666667, or $18.67.

Payment to Principal: $243.60 less $18.67 equals $224.93.

$2,800.00 - $224.93 = $2,575.07 is the new principal.

Therefore, for the initial payment, the principle received was $224.93, the interest was $18.67, and the new principal was $2,575.07.

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The vector that has the same direction as (2, 6, -3) but has a length of 2 is (4/7, 12/7, -6/7).

To find the vector that has the same direction as (2, 6, -3) but has a length of 2, we will first normalize the given vector and then scale it by the desired length.

Calculate the magnitude (length) of the given vector (2, 6, -3).
Magnitude = √(x^2 + y^2 + z^2) = √(2^2 + 6^2 + (-3)^2) = √(4 + 36 + 9) = √49 = 7

Normalize the given vector by dividing each component by its magnitude.
Normalized vector = (x/magnitude, y/magnitude, z/magnitude) = (2/7, 6/7, -3/7)

Step 3: Scale the normalized vector by the desired length (2).
Scaled vector = (desired length * x, desired length * y, desired length * z) = (2 * 2/7, 2 * 6/7, 2 * -3/7) = (4/7, 12/7, -6/7)

So, the vector that has the same direction as (2, 6, -3) but has a length of 2 is (4/7, 12/7, -6/7).

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The method is static, which means it can be called on the class itself without creating an instance of the class. To create a class Range Sum with a public static method, sum that accepts a single int value and returns the sum of all integers in the range 1. value as an int, follow these steps:

1. Define the class Range Sum.
2. Inside the class, create a public static method called sum, which accepts an int parameter called value.
3. In the method, first check for the base case, where the value is equal to 1, and return 1.
4. Then, handle the Illegal Argument Exception by checking if the value is less than or equal to 0 or greater than 128. If so, throw an Illegal Argument Exception.
5. Finally, implement the recursive step by returning the sum of the current value and the range sum of value - 1, using the sum method itself.
Here's the code:
java
public class Range Sum {
   public static int sum (int value) {
       if (value == 1) {
           return 1;
if (value <= 0 || value > 128) {
throw new Illegal Argument Exception ("Value must be between 1 and 128.");

return value + sum (value - 1);

Now, you can call the sum method with the input 10 to get the result 55: `Range Sum. Sum(10)` will return 55.

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Answer:

y=2x-5

Step-by-step explanation:

i took algebra

2(x+3)

2*x=2x

2*3=6

Answer=2x+6

The given statement "You can measure the amount of overlap of 2 data sets by comparing the distance between the medians of the IQR" is False. Because the distance between the medians can give some indication of how much overlap there is between two data sets, it is not the only factor to consider other factors are means or standard deviation.

The median is a measure of central tendency that divides the data into two halves. The interquartile range (IQR) is a measure of spread that gives the range of the middle 50% of the data.

Therefore, the distance between the medians of the IQR can give an idea of how much overlap there is between two data sets, but it is not the only measure to consider.

Other measures of overlap include comparing the means or standard deviations of the data sets, or using statistical tests such as a t-test or ANOVA to compare the groups. So, the given statement is False.

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--The given question is incomplete, the complete question is given

" You can measure the amount of overlap of 2 data sets by only comparing the distance between the medians of the IQR. True or False."--

we have the system

y + z = 6 ------> equation P

5y + 9z = 1 -----> equation Q

i will solve by elimination

step 1

Multiply the equation P by -5

so

(y + z = 6) *-5

-5y-5z=-30

adds equation Q

-5y-5z=-30

5y + 9z = 1

------------------

5z+9z=-30+1

therefore

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

We have the following equation

These are some possible steps to solve it:

#1. Substract 2x from both sides

#2. Simplify

#3. multiply both sides by 3

#4. Simplify

#5. Divide both sides by -5

#6. Simplify

So, we can see from the set of steps above, that the 4th option is the correct one!

Answer:

The derivative of infinity is undefined. Infinity is not a number, but rather a concept that represents a quantity that is unbounded or limitless. The derivative of a function at a point is a measure of the rate of change of the function at that point. Since infinity itself does not have a numerical value or a well-defined location, it is not possible to take the derivative of infinity. This means that the concept of the derivative does not apply to infinity and the derivative of infinity is undefined.

When a pure liquid is converted to a solid at its freezing point, the temperature remains constant during the phase change.

In the case of a solution, the temperature change during the conversion to a solid at its freezing point is a bit more complex. When a solution is cooled to its freezing point, the solvent begins to solidify first, and the solute becomes more concentrated in the remaining liquid. This means that the freezing point of the solution decreases as the concentration of the solute increases. As a result, the temperature at which the solution begins to freeze is lower than the freezing point of the pure solvent.

During the freezing process of the solution, the temperature does not remain constant like in the case of a pure liquid, but it decreases gradually as the solvent solidifies. The rate of temperature decrease depends on the concentration of the solute and the freezing point depression of the solvent. In general, the greater the concentration of solute, the lower the freezing point of the solvent and the greater the temperature change during the conversion of the solution to a solid.

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Step-by-step explanation:

let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)

Now,

3x+x=56 (sum of their ages is 56)

or 4x=56

or x=56/4

or x=14

therefore age of samantha=3x=3×14=42

age of jason = x = 14

The age of Samantha will be 42 years and that of Jason will be 14 years.

It is given that Samantha is three times as old as Jason and the sum

of their ages is 56 years.

We have to find out age of both of them.

What will be the value of x , if 3x + 8x = 55?

The value of x will be 11x = 55 or x = 55 ÷ 11 or x = 5.

As per the question ;

Samantha is three times as old as Jason.

Sum of their ages = 56 years

Let's assume age of Jason be x.

⇒ The age of Samantha will be 3 times of x

i.e., 3x.

∵ Sum of ages of both of them = 56 years

⇒ x + 3x = 56

⇒ 4x = 56

⇒ x = 56 ÷ 4

⇒ x = 14

So , age of Jason will be 14 years.

Age of Samantha = 3x

= 3 × 14

= 42 years

Thus , the age of Samantha will be 42 years and that of Jason will be 14 years.

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Answer:

the ones are options 2 and 3

Answer:

Lol Hi Alycia! The answer to your question is A, C and D

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The value of x in the domain of f(x) is x = 10.option (A)

To find the domain of the function f(x) = √(x - 8), we need to consider the values of x for which the expression under the square root is non-negative.

That is, x - 8 ≥ 0

Simplifying, we get x ≥ 8

Therefore, any value of x that is greater than or equal to 8 is in the domain of the function.

Out of the given options, only option A. x = 10 satisfies this condition.

So, the value of x in the domain of f(x) is x = 10.

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