Choose the correct equation

Answer:

I'm not sure tbh, sorry .

Regression equation are calculations used to predict a person's to score on one variable when that person's score on another variable is already known. So, option(C) is right one.

Statistical study is used to collect and analyze data and is useful in census. The collected data is used to interpret economic activities. Statistics can be qualitative or quantitative in nature. The regression analysis is used to determine the line of best fit for the dependent variable and independent variables. The equation form of regression line is written as, Y= a + bX, where

It is an analysis to measure the relationship between a dependent variable and two or more. independent variables. So the correct choice is the regression equation.

For more information about regression equation, visit:

https://brainly.com/question/25987747

#SPJ4

Complete question:

____ ____ are calculations used to predict a person's to score on one variable when that person's score on another variable is already known.

A. Pearson product-moment correlation coefficient

B. Coefficient of determination

C. Regression analysis

D. Point-biserial correlation coefficient

Step-by-step explanation:

Coefficient of 3x⁴ is positive (concave upwards)

Power of x⁴ is even (both ends go upwards)

Hence the answer is Up on the left, up on the right.

Answer:

1.90909 (Rounded to fifth decimal place)

Step-by-step explanation:

Answer:

1.909....

Step-by-step explanation:

Answer:

y = 2x + 2

Step-by-step explanation:

6x -3y = -6 (get y on one side of the equals sign by substracting 6x from both sides)

-3y = -6x - 6 (divide each side by -3 to get final value of y)

y = 2x + 2

Answer:

5, 0, 17

Step-by-step explanation:

f(-2)=4+1=5

f(0)=0+1=1

f(4)=16+1=17

Answer:

2,3,-1

Step-by-step explanation:

Answer:

The answer is C: 13/99

Step-by-step explanation:

To find the answer, you can simply look at all of the multiple choice answers and start dividing the numerator by the denominator. When you find the answer choice that has a quotient of 0.13131313131313, you will know your right answer.

The estimate for the mean time required to graduate for all college is equal to the sample mean, which is equal to 6.46 years.

To find the 95% confidence interval for the mean time required to graduate for all college graduate:

The critical value is obtained from the standard normal distribution for a 95% confidence level which is around 1.96.

Sample size = 4300 (Given)

Standard deviation = 1.37 years (Given)

Standard Error = standard deviation / √sample size

= 1.37 / √(4300) =  0.021

Confidence Interval = sample mean ± (critical value ×  standard error)

= 6.46 ± (1.96 × 0.021)

Lower bound of the confidence interval = 6.46 - (1.96 × 0.021) = 6.42

Upper bound of the confidence interval = 6.46 + (1.96 × 0.021) = 6.50

Therefore, the 95% confidence interval for the mean time required to graduate for all college graduates is around 6.42 years < μ < 6.50 years.

To learn more about confidence interval:

https://brainly.com/question/32278466

#SPJ4

The solution to the given differential equation is L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

To solve the differential equation using the convolution theorem, we'll follow these steps:

Take the Laplace transform of both sides of the differential equation.

Use the convolution theorem to simplify the resulting expression.

Take the inverse Laplace transform to obtain the solution in the time domain.

Let's start with step 1:

Given differential equation: d²y/dt² - 4y = t cos 2t

Taking the Laplace transform of both sides, we get:

s²Y(s) - sy(0) - y'(0) - 4Y(s) = L{t cos 2t}

Where Y(s) represents the Laplace transform of y(t), y(0) is the initial condition for y(t) at t = 0, and y'(0) is the initial condition for dy/dt at t = 0.

The Laplace transform of t cos 2t can be found using the Laplace transform table:

L{t cos 2t} = -Im{d/ds[1 / (s² - (2i)²)]}

= -Im{d/ds[1 / (s² + 4)]}

= -Im{(-2s) / [(s² + 4)²]}

= 2Im{(s) / [(s² + 4)²]}

Now let's simplify the expression using the convolution theorem:

The Laplace transform of the convolution of two functions, f(t) and g(t), is given by the product of their individual Laplace transforms:

L{f * g} = F(s) G(s)

In our case, f(t) = y(t) and g(t) = 2Im{(s) / [(s² + 4)²]}.

Therefore, F(s) = Y(s) and G(s) = 2Im{(s) / [(s² + 4)²]}.

Multiplying F(s) and G(s), we get:

Y(s) G(s) = Y(s) 2Im{(s) / [(s² + 4)²]}

Now, we can rewrite the left-hand side of the equation using the convolution theorem:

Y(s) * 2Im{(s) / [(s² + 4)²]} = L{t cos 2t}

Taking the inverse Laplace transform of both sides, we have:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{L{t cos 2t}}

Simplifying the right-hand side using the inverse Laplace transform table, we get:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = t sin 2t / 4

Now, we can apply the convolution theorem to the left-hand side of the equation:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{Y(s)} * L⁻¹{2Im{(s) / [(s² + 4)²]}}

The inverse Laplace transform of 2Im{(s) / [(s² + 4)²]} can be found using the inverse Laplace transform table:

L⁻¹{2Im{(s) / [(s² + 4)²]}} = 1 / 2b³ (sin bt - bt cos bt)

Therefore, we have:

L⁻¹{Y(s)} * 1 / 2b³ (sin bt - bt cos bt) = t sin 2t / 4

From this, we can deduce the inverse Laplace transform of Y(s):

L⁻¹{Y(s)} = (t sin 2t / 4) / (1 / 2b³ (sin bt - bt cos bt))

Simplifying further:

L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

This is the solution to the given differential equation.

Know more about Convolution theorem here:

brainly.com/question/32608612

#SPJ11

The solution to the system of equations as an ordered pair is (4, -3).

We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.

We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".

y = (-1/2)x - 1

(-1/4)x + y + 4 = 0

Substitute the value of "y" from the first equation into the second equation.

(-1/4)x + (-1/2)x - 1 + 4 = 0

(-3/4)x+3 = 0

(3/4)x = 3

x = 4

Substitute the value of "x" back into the first equation to get the value of "y".

y = (-1/2)x - 1

y = (-1/2)4 - 1

y = -2 - 1

y = -3

To learn more about equations, visit :

https://brainly.com/question/10413253

#SPJ1

Step-by-step explanation:

ps||pr are parallel

pQR=Rsp

Answer:

Step-by-step explanation:216

Answer:

-41.1 feet

Step-by-step explanation:

-32.5-8.6=-41.1

1/2=0.5

3/5=6/10=0.6

The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

Learn more about actual and predicted values here:https://brainly.com/question/28610444

#SPJ1

The answer is  True, the percentile rank identifies the percentile of a particular value within a set of data.

The percentile rank is a measure that identifies the percentage of scores in a distribution that are equal to or lower than a given score. It is calculated by dividing the number of scores that are equal to or lower than the given score by the total number of scores in the distribution, and multiplying the result by 100 to obtain a percentage. The percentile rank can be used to compare individual scores to the rest of the distribution, and can provide useful information about the relative standing of a score within a particular group or population. Therefore, it is true that the percentile rank identifies the percentile of a particular value within a set of data.

To know more about percentile visit :-

https://brainly.com/question/1594020

#SPJ11

Answer:

34.8°

Step-by-step explanation:

90-55.2=34.8

Hope this helps:)

Answer:

What is the value of x?

x = 40 degrees.

What is the measure of angle AFE?

Angle AFE = 140 degrees

What is the measure of angle BFD?

Angle BFD = 140 degrees.

Step-by-step explanation:

Angle AFC is 90 degrees.

To find angle x, we have to subtract angle BFC.

90 - 50 = 40 degrees.

Line BFE is 180 degrees.

To find angle AFE, we have to subtract angle x from 180 degrees.

We have solved x already.

180 - 40 = 140 degrees.

Angle BFD is just 90 degrees plus 50 degrees.

90 + 50 = 140 degrees.

Answer:

x = 40

m<AFE = 140

m<BFD = 140

Step-by-step explanation:

1. Finding X

As one can see, AD is a straight line (hence the three angles that add up to is equal 180 degrees). It is given that m<CFD is 90 degrees (signified by the box).

Given;

AD - straight line

m<AFB + m<BFC + m<CFD = 180

( m<AFB, m<BFC, m<CFD form line AD, the degree measures in al ine equal 180, hence m<AFB + m<BFC + m<CFD = 180)

m<BFC = 50

m<CFD = 90 (signified by box around it)

m<AFB + m<BFC + m<CFD = 180                   parts whole postulate

x + 50 + 90 = 180                                             substitution

x + 140 = 180                                                     algebra

x = 40

2. Finding m<AFE and m<BFD

When two straight lines intersect, four angles are formed. The angles that are opposite to each other are called vertical angles, and vertical angles are congruent in other words, have the same measure.

Given;

m<BFD = m< AFE

m<BFC + m<CFD = m<BFD

m<BFC = 50

m<CFD = 90

m<BFC + m<CFD = m<BFD                           Given (parts whole postulate)

50 + 90 = m<BFD                                           substitution

140 = m<BFD                                                  algebra

140 = m<BFD = m<AFE                                  substition

The answers are (a) 1.5 orders (b) 0.5  (c)-1

a. Probability that a faxed order will arrive within the next 9 minutes:

Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:

Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.

b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).

The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:

Probability = (10 orders/hour)  (0.1 hours) - (10 orders/hour) (0.05 hours)

= 1 - 0.5

= 0.5.

c. Probability that 12 or more minutes will elapse between faxed orders:

Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.

The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:

Probability = 1 - (10 orders/hour) (0.2 hours)

= 1 - 2

= -1.

To know more about "Probability" refer here:

https://brainly.com/question/30034780#

#SPJ11

The table is completed as follows:

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

For the function y = 2x², the numeric values are given as follows:

For the function y = 2^x, the numeric values are given as follows:

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

The given fraction (x^2-25)/(x^2-x-20) expressed in simplest form is (x+5)/(x+4). (Option C)

A fraction is in simplest form if the numerator and denominator have no common factors other than 1. In order to solve the given fraction, the numerator and denominator must be factorized, and the common factor will be canceled out.

Factoring x^2 – 25 using the difference of squares formula that states that a^2 – b^2 = (a + b)(a - b)

x^2 – 25 = x^2 – 5^2 = (x + 5)(x – 5)

Factoring x^2 – x – 20,

x^2 – x – 20 = x^2 + 4x – 5x – 20 = x(x + 4) -5(x + 4) = (x + 4)(x – 5)

Hence, factor (x – 5) is there in both numerator and denominator, it is canceled out. Hence the fraction in the simplest form is:

(x + 5)(x – 5)/ (x + 4)(x – 5) = (x + 5)/(x + 4)

Note: The question is incomplete.  The complete question probably is:  What fraction represents(x^2-25)/(x^2-x-20) expressed in simplest form. A) 5/4 B) (x-5)/(x-4) C) (x+5)/(x+4) D)25/(x+20)

Learn more about Simplest form:

https://brainly.com/question/17227519

#SPJ4

Answer:

178 m^2 first question answer by adding area of 2 rectangles,triangle

2nd question answer is x = 18 by using  similarity formula

and last one answer is 11 ft which is obtained by finding circumference of wheel pi * Diameter = 3.14*140 and then divided by (3.14*140)/40 cars = 10.99 ft == 11 ft

Step-by-step explanation:

Answer:

All your answers were correct!

Step-by-step explanation:

For the first problem, find the area of each part. The area of the rectangles would be (16m*8m) + (5m*6m) = 128m²+30m² = 158m². Next, tacking on the area of the triangle, then we have 158m² + (8m*5m)/2 = 158m²+20m² = 178m², so the first option is correct. Good job on getting it right!

For the second problem, assuming the parallelograms are similar, then we can set up a proportional equation to find the missing side, x:

12/x = 16/24

12*24 = 16x <-- Cross-Multiply

288 = 16x

18 = x

Looks like you got it correct again, good job!

For the third problem, it helps to first find the circumference of the Ferris wheel, which would be 2πr = 2(3.14)(140ft/2) = 439.6ft approximately. Now, since there are 40 cars, then the circumference can be split into 40 equal parts, so the distance between each one would be 439.6ft/40 = 10.99ft, which is basically 11ft. Hence, you got this one correct too, good job!

Hope the answers and explanations helped!

The number of green and blue marbles is 54 and 198 respectively.

Ratio:

In Mathematics, the ratio contrasts two quantities by the method of division. In simple words, we can say that the simplified form of two quantities of the same units is mentioned as a ratio.

A ratio gives a relation that how many times one quantity is equal to the other quantity.  The symbol ':' denotes the ratio and the ratio will be expressed as a:b  

Here we have,

The ratio of green marbles to blue marbles is 3:11

Number of Marbles = 252  

Since the ratio of green to blue marbles is 3:11, Let 3x and 11x be the number of green and blue marbles respectively.

As we know the total number of marbles is 252

=> 3x + 11x = 252

=> 14x = 252

=> x = 252/14 = 18

=> Number of green marbles, 3x = 3(18) = 54

=> Number of blue marbles, 11x = 11(18) = 198

Learn more about Ratios at

https://brainly.com/question/13916417

#SPJ4

A fraction is a smaller part of a whole number.

A whole number is defined as the number that is natural and it includes numbers such as 0, 1,2,3,4,5,6,7,8,9, 10. This means that is doesn't contain numbers that has decimal points or fractions such as. 1.5 or 1½ respectively.

A fraction is defined as the part of a whole value such as 1/4 which is 25% of 1. This means that it is the smaller part of a whole number.

Learn more about fraction here:

https://brainly.com/question/28699958

#SPJ1

Required factor form is 2x³(3x + 4).

What is GCF?

GCF stands for Greatest Common Factor, also known as the Greatest Common Divisor (GCD). In mathematics, the GCF of two or more numbers is the largest positive integer that divides each of the numbers without a remainder. For example, the GCF of 12 and 18 is 6 because 6 is the largest integer that divides both 12 and 18 without a remainder. The concept of GCF is important in many areas of mathematics, including algebra, number theory, and calculus, and is used in various problem-solving applications.

Given form is 6x⁴+8x³.

Here is two term 6x⁴ and 8x³.

By factorisation,

6x⁴ = 2×3×x⁴ and 8x³ = 2×2×2×x³

The greatest common factor (GCF) of 6x⁴ and 8x³ is 2x³.

To factor it out, we can divide each term by 2x³:

Now,

6x⁴ ÷ 2x³ = 3x

8x³ ÷ 2x³ = 4

So, we can write:

6x⁴ + 8x³ = 2x³(3x + 4)

Therefore, the factored form of 6x⁴ + 8x³ is 2x³(3x + 4).

Learn more about GCF here,

https://brainly.com/question/219464

#SPJ1

Answer:

i've done this but i cant remember... i think its something to do with the same power

Step-by-step explanation:

hope this helped :)

The volume flow rate of the water passing through the pipe increases by a factor of 6.

Assuming that the initial cross sectional area of the pipe is A m² and the initial velocity of the water is V m/s, the water flow rate is:

= initial flow rate = area × velocity = AV m³/s

As the water speed doubles (2V m/s) and the pipe cross-sectional area triples (3A m²), the volume flow rate becomes:

Final flow rate = 2V × 3A = 6AV m³/s

As a result, the volume flow rate of the water moving through it multiplies by a ratio of six.

The basic equation for cases like these is

Q=AV,

where Q is the volume flow rate, A is the cross-sectional area occupied by the flowing material, and V is the average velocity of flow.

V is considered an average since not every component of a flowing fluid flows at the same rate. If you monitor the waters of a river moving slowly downstream at a consistent rate of gallons per second, you will see that the surface has slower currents here and faster currents there.

To learn more about volume visit:

https://brainly.com/question/13559135

#SPJ4

Answer:

Step-by-step explanation:

a). By applying tangent rule in the triangle,

   tanθ = \(\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}\)

   θ = \(\text{tan}^{-1}(\frac{3}{4})\)

   θ = 36.87°

   Therefore, θ < 45°

b). By using cosine rule in this triangle,

   cosθ = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}\)

   cosθ = \(\frac{1}{\sqrt{2}}\)

    θ = 45°

c). By using tangent rule,

  tanθ = \(\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}\)

  θ = \(\text{tan}^{-1}(4)\)

  θ = 75.96°

  θ > 45°

Based on the given information that 2 out of 20 sample points plotted on a control chart are beyond the control limits, the correct answer is D) The evidence is sufficient to indicate that the process is out of control.

Control charts are used to monitor and control processes, with control limits representing the expected boundaries for a process in control.

When data points fall outside these control limits, it indicates that the process is exhibiting variation beyond the expected range.

In this case, the occurrence of 2 out of 20 sample points beyond the control limits suggests that the process is not operating within the expected range of variation.

This provides sufficient evidence to indicate that the process is out of control.

Option B, stating that the evidence is sufficient to indicate the process is in control, is incorrect based on the information provided. The evidence supports the conclusion that the process is out of control, not in control.

To know more about control chart refer here:

https://brainly.com/question/15902934#

#SPJ11

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

Learn more about equation

brainly.com/question/29538993

#SPJ11

Answer:

y=x+12

Step-by-step explanation:

y=-x+12; is a line with slope m1=-1

to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2

use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept

7=1*(-5)+b

7=-5+b

12=b

so

y=x+12