One measure of student success for colleges and universities is the percent of admitted students who graduate. Studies indicate that a key issue in retaining students is their performance in so-called gateway courses. These are courses that serve as prerequisites for other key courses that are essential for student success. One measure of student performance in these courses is the DFW rate, the percent of students who receive grades of D, F, or W (withdraw). A major project was undertaken to improve the DFW rate in a gateway course at a large midwestern university. The course curriculum was revised to make it more relevant to the majors of the students taking the course, a small group of excellent teachers taught the course, technology (including clickers and online homework) was introduced, and student support outside the classroom was increased. The following table gives data on the DFW rates for the course over three years. In Year 1, the traditional course was given; in Year 2, a few changes were introduced; and in Year 3, the course was substantially revised.


Year DFW Rate Number of Students Taking Course


Year 1 42. 1% 2408


Year 2 24. 3% 2325


Year 3 19. 4% 2126


1. Do you think that the changes in this gateway course had an impact on the DFW rate? (Use α = 0. 1. )


2. State the null and alternative hypotheses.


3. State the Ï2 statistic, degrees of freedom, and the P-value.

If the price level in Canada falls and the price level in the United States does not change, Canadian-manufactured sofas are relatively less expensive, so Sherri will likely purchase a Canadian manufactured sofa.

This is because the decrease in price level in Canada would make Canadian goods more affordable, including Canadian manufactured sofas. This makes them a more attractive option for Sherri than U.S. manufactured sofas which would still be relatively more expensive even if their price level did not change. Answer D is correct in this scenario. However, if U.S. manufactured sofas were initially more expensive than Canadian sofas, then answer B could also be correct. Overall, Sherri's decision would depend on the initial price difference between Canadian and U.S. manufactured sofas, as well as her personal preferences and any other relevant factors.

Know more about price level here;

https://brainly.com/question/30264300

#SPJ11

Answer:

450 employees work at this company.

Step-by-step explanation:

300 = 2/3 of x
300 × 3 = 2x
900 = 2x
450 = x

Answer:

it is 291.60

Step-by-step explanation:

ik this bc i had the question on my assignment

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Read more about the equation

brainly.com/question/14614141

#SPJ1

Answer:

Answer is D

Step-by-step explanation:

(3,-7) and (1,-10) belong toD Variant

The required function is \(y=-\frac{3}{4}(x-3)^2-7\) , so the correct option is D.

Important information:

The vertex form of a quadratic function is:

\(y=a(x-h)^2+k\)

Where, \(a\) is constant and \((h,k)\) is vertex.

Substitute \(h=3,k=-7\).

\(y=a(x-3)^2-7\)        ...(i)

Graph passes through the point (1, -10). Substitute \(x=1,y=-10\) in (i).

\(-10=a(1-3)^2-7\)

\(-10+7=4a\)

\(-3=4a\)

\(\dfrac{-3}{4}=a\)

Substitute \(a=-\dfrac{3}{4}\) in (i).

\(y=-\frac{3}{4}(x-3)^2-7\)

Therefore, the correct option is D.

Find out more about 'Quadratic function' here:

https://brainly.com/question/15280010

The difference of the given expressions is 5.

The given expressions are -6x+3 and -6x+8.

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, subtract -6x+3 from -6x+8

-6x+8 - (-6x+3)

= -6x+8+6x-3

= 5

Therefore, the difference of the given expressions is 5.

To learn more about the subtraction of expression visit:

https://brainly.com/question/12959016.

#SPJ1

g(x) = x^2 - 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 - 3

g(f(x)) = ( f(x) )^2 - 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 - 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6

The next crow observed will be black is not supported by the premises in any meaningful way. The premises do not guarantee the outcome of the next observation.  Argument B is the stronger argument.

Argument A is an example of an inductive argument, as it generalizes from a limited sample to make a broader claim about the entire population. This argument form is called induction and can be evaluated on its strength.

Argument B is a deductive argument, as it uses a conditional premise to reach a definite conclusion. In this form of argument, the conclusion necessarily follows from the premises. The strength of a deductive argument depends on the logical structure of the premises and conclusion.

The better argument of the two is argument B. Because in deductive arguments, the conclusion necessarily follows from the premises if the premises are true.

And this argument, the premises state that if 90% of observed crows are black, then the next crow observed will be black.

Additionally, it is also claimed that 90% of observed crows are black. Therefore, it can be logically deduced that the next crow observed will be black

The argument in A, however, is an inductive argument, where the conclusion is not necessarily true even if the premises are true. Even if 90% of observed crows are black, it does not necessarily follow that 90% of all crows are black.

argument B is the stronger argument.

Learn more deductive arguments:

https://brainly.com/question/28571732

#SPJ11

Answer:x = 75

Step-by-step explanation:y=105 - 5 = 100 ft

z=125 ft

dz/dt=2 ft/sec

by using Pythagorean Theorem, we find x

x^2 + 100^2 = 125^2

x = 75

The value of x that solves the magic box is 39/7.

A magic box is a type of matrix in mathematics that is often used in magic tricks and puzzles. The box is typically square, and each cell in the box contains a number. The magic box is called a magic box because the sum of the numbers in each row, each column, and each diagonal is always the same. This sum is known as the "magic constant" or "magic number."

To create a magic box, one can start with the number 1 in the center cell of the top row, and then fill in the remaining cells by moving diagonally up and to the right when a cell is occupied, or straight down when the cell is empty. This results in a box with the numbers arranged in a symmetrical pattern.

Magic boxes can be used in puzzles or as a tool for teaching mathematical concepts such as symmetry and pattern recognition. They can also be used to create interesting magic tricks, as the consistent sum of the rows, columns, and diagonals can be used to create surprising results.

To find the sum of the magic box, we add up all the terms in the box. In this case, the sum is:

3x + 2x - 5 + x - 10

Simplifying the expression, we combine like terms:

6x - 15

Therefore, the sum of the magic box is 6x - 15.

To solve the magic box, we need to find the value of each variable that makes the equation true. We can use algebraic manipulation to do this.

Starting from the top left of the magic box, we have:

3x

Moving to the top right of the magic box, we have:

x

Moving to the bottom left of the magic box, we have:

2x - 5

Finally, moving to the bottom right of the magic box, we have:

x - 10

Putting all of this together, we have the following equation:

3x + x + 2x - 5 + x - 10 = 24

Simplifying the left side of the equation, we combine like terms:

7x - 15 = 24

Adding 15 to both sides of the equation, we get:

7x = 39

Dividing both sides by 7, we get:

x = 39/7

Therefore, the value of x that solves the magic box is 39/7.

To know more about equation visit:

https://brainly.com/question/12788590

#SPJ1

Part 1:The letters available are D, C, O, N, O, U. Since no letter is repeated, we can use the rule of permutations to find the number of 4-letter code words that can be formed. The formula for the number of permutations of n distinct objects taken r at a time is: P(n, r) = n!/(n-r)!We have 6 distinct objects (letters) and we want to take 4 of them.

Therefore, the number of 4-letter code words that can be formed without any repetition is:P(6, 4) = 6!/(6-4)! = 6!/2! = 6*5*4*3 = 360So, there are 360 possible 4-letter code words that can be formed if no letter is repeated.Part 2:If letters can be repeated, then we can use the rule of permutations with repetition. The formula for the number of permutations of n objects taken r at a time, with repetition, is:n^rWe have 6 objects and we want to take 4 of them, with repetition.

Therefore, the number of 4-letter code words that can be formed with repetition is:6^4 = 6*6*6*6 = 1,296So, there are 1,296 possible 4-letter code words that can be formed if letters can be repeated. and then we must choose a different letter for the third position, and then we must choose a different letter for the fourth position. After that, we can repeat the cycle starting with the first letter againAdjacent letters must be different: There are 120 possible 4-letter code words that can be formed.

To know more about distinct visit :

https://brainly.com/question/32727893

#SPJ11

The largest prime factor that always divides the sum of the terms in the sequence is 37.

The sequence is finite and consists of three-digit integers.

The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.

From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.

Let "x" be the sum of the digits at unit place in all the terms.

The sum of all the terms is "S".

S = 111*x

S = 3*37*x

We can clearly see that the sum "S" is divisible by 37.

Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.

To learn more about sequence, visit :

https://brainly.com/question/21961097

#SPJ4

The value of x is the cube root of 5.  The additive inverse of a number is the value that, when added to the original number, gives a sum of zero.

Given that the additive inverse of -5 is x³, we can set up the equation:

-5 + x³ = 0

To solve for x, we need to find the value that satisfies this equation.

Adding 5 to both sides of the equation, we have:

x³ = 5

Taking the cube root of both sides, we get:

x = ∛5

Therefore, the value of x is the cube root of 5.

The correct answer is x) ∛5.

Learn more about additive inverse here:

https://brainly.com/question/29067788

#SPJ11

√x + 6 = x

Well the solution to the equation would be B because x=9.

Therefore your answer is 9.

Answer:

B

Step-by-step explanation:

√x + 6 = x

x - √x - 6 = 0

(√x - 3)(√x + 2) = 0

so

√x = -2 (impossible)

or

√x = 3 => x = 9

Answer:

962 cm²

A = 1/4πd²

   = 1/4 × π × 35²

    = 962 cm²

Answer:

Hindi Film: 6,000 people

English: 4,000 people

Classical: 3,000 people

Other: 7,000 people

Answer:

19.81cm^2

Step-by-step explanation:

To solve this, you need to use Heron's formula. Heron's formula solves for the area of a triangle given 3 sides defined as a, b, and c, as well as the perimeter. In this formula, p is half of the perimeter. The formula is:

sqrt(p*(p-a)*(p-b)*(p-c))

Plugging the values into this formula gives 19.81cm^2.

The accurate statement regarding these two distributions is that Distribution A has a higher variance, and both distributions are positively skewed.

To determine which distribution has a higher variance, we need to calculate the variance of each distribution. Recall that the variance is given by the formula:

Var(X) = E[(X - μ)²],

where E is the expected value operator and μ is the mean of the distribution.

For Distribution A, we have:

μ = 0(0.20) + 1(0.20) + 2(0.20) + 3(0.20) + 4(0.20) = 2

E[(X - μ)²] = (0 - 2)²(0.20) + (1 - 2)²(0.20) + (2 - 2)²(0.20) + (3 - 2)²(0.20) + (4 - 2)²(0.20) = 2

For Distribution B, we have:

μ = 0(0.01) + 1(0.02) + 2(0.94) + 3(0.02) + 4(0.01) = 2

E[(X - μ)²] = (0 - 2)²(0.01) + (1 - 2)²(0.02) + (2 - 2)²(0.94) + (3 - 2)²(0.02) + (4 - 2)²(0.01) = 1.24

Therefore, Distribution A has a higher variance than Distribution B.

Regarding the skewness, we can observe that Distribution A and Distribution B are not symmetric, but have a mode at 2, and the probabilities decrease as we move away from the mode. Therefore, both distributions are positively skewed.

For more similar questions on probability:

brainly.com/question/13604758

#SPJ11

The maximum error in calculating the surface area of the rectangular box is 184.

A rectangle is just a quadrilateral with equal angles and opposite sides that are equal & parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and width.

The length of a rectangle is the longer side, while the width is the shorter side.

Now according to the question;

The total surface area of the rectangle is;

L= length, W = Width and H = height

A = 2LW + 2WH + 2LH

Differentiating the area;

dA=[2*(dL)*W+2*L*(dW)]+[2*(dW)*H+2*W*(dH)]+[2*(dL)*H+2*L*(dH)]

dA is the maximum error.

As, the error obtained on each side is same as 0.2.

dL=dW=dH=0.2cm

L=100cm

W=70cm

H=60cm

Simply enter the value into the above calculation, and the resulting value is your maximum error.

dA=[2*(0.2)*100+2*70*(0.2)]+[2*(0.2)*70+2*60*(0.2)]+[2*(0.2)*60+2*100*(0.2)]

dA=184

Therefore, the maximum error in calculating the surface area of the box is 184.

To know more about the rectangle, here

https://brainly.com/question/25292087

#SPJ4

Answer:

probably not helpful but a lil guide; first you need to solve for slope. (y2-y1/x2-x1) this will be m. next solve for y, to do this put on of your x values (2 or 6) using y=mx+b. to get b, place x=0.

The sum of the first 10 terms of the given geometric series is 1,953,124.

In a geometric series, each term is obtained by multiplying the previous term by a constant ratio. Let's denote the first term of the series as 'a' and the common ratio as 'r'. We are given that the 4th term is -250 and the 9th term is 781,250. Using this information, we can write the following equations:

a * \(r^3\) = -250    (equation 1)

a * \(r^8\) = 781,250  (equation 2)

Dividing equation 2 by equation 1, we get:

\((r^8) / (r^3)\) = (781,250) / (-250)

\(r^5\) = -3,125

r = -5

Substituting this value of 'r' into equation 1, we can solve for 'a':

a * \((-5)^3\) = -250

a * (-125) = -250

a = 2

Now that we have determined the values of 'a' and 'r', we can find the sum of the first 10 terms using the formula:

Sum = a * (1 - \(r^{10}\)) / (1 - r)

Substituting the values, we get:

Sum = 2 * (1 - \((-5)^{10}\)) / (1 - (-5))

Sum = 2 * (1 - 9,765,625) / 6

Sum = 2 * (-9,765,624) / 6

Sum = -19,531,248 / 6

Sum = -3,255,208

Therefore, the sum of the first 10 terms of the geometric series is -3,255,208.

Learn more about geometric series here:

https://brainly.com/question/30264021

#SPJ11

The conclusion that is true about f(x) and g(x) based on the table of values is: The function f(x) and g(x) are reflections over the y-axis.    

We know that the rule that describes the reflection over the y-axis is:

       (x,y) → (-x,y)

Hence, if we have a function f(x) as:

f(x) = 2ˣ

Then it's reflection over the y-axis is:

f(-x) = 2⁻ˣ

f(-x) = (¹/₂)⁻ˣ

Thus:

g(x) = (¹/₂)⁻ˣ

Hence, they are reflection over the y-axis.

Also, we know that the exponential function of the type:

y = abˣ                

where a > 0 is an increasing function if b>1 and is a decreasing function if: 0<b<1

Hence, f(x) is a increasing function and g(x) is a decreasing function.

Also, the initial value of a function is the value of function when x=0

when x=0 we see that both f(x)=g(x)=1

i.e. Both f(x) and g(x) have same initial value.

Read more about Function Table at: https://brainly.com/question/20053217

#SPJ1

The conclusion that is true about f(x) and g(x) based on the table of values is: The function f(x) and g(x) are reflections over the y-axis.    

We know that the rule that describes the reflection over the y-axis is:

       (x,y) → (-x,y)

Hence, if we have a function f(x) as:

f(x) = 2ˣ

Then it's reflection over the y-axis is:

f(-x) = 2⁻ˣ

f(-x) = (¹/₂)⁻ˣ

Thus:

g(x) = (¹/₂)⁻ˣ

Hence, they are reflection over the y-axis.

Also, we know that the exponential function of the type:

y = abˣ                

where a > 0 is an increasing function if b>1 and is a decreasing function if: 0<b<1

Hence, f(x) is a increasing function and g(x) is a decreasing function.

Also, the initial value of a function is the value of function when x=0

when x=0 we see that both f(x)=g(x)=1

i.e. Both f(x) and g(x) have same initial value.

Read more about Function Table at: https://brainly.com/question/20053217

#SPJ1

Answer:

y-3

Problem:

What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

xy-3=(xy-y)+remainder *distributive property

Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

Answer:

None of the following

Step-by-step explanation:

Answer:

Radius duh

Step-by-step explanation:

The liabilities whose book values and fair values differed by \$100,000 during that year are:

The difference between book values and fair values of liabilities arises due to various factors. Book value refers to the value of a liability as recorded on the balance sheet, which is based on historical cost and may not reflect the current market conditions. Fair value, on the other hand, represents the estimated value of a liability in the current market.

There are several reasons why the book values and fair values of liabilities may differ.

Changes in interest rates, creditworthiness of the debtor, market conditions, and the passage of time can all contribute to these differences. If interest rates have changed since the liability was initially recorded, the fair value may be higher or lower depending on the prevailing rates.

Similarly, if the creditworthiness of the debtor has changed, the fair value may be adjusted to reflect the increased or decreased risk associated with the liability.

Learn more about Fair value

brainly.com/question/30564619

#SPJ11

Given:

A homogeneous system of linear equations Ax= 0 is given.

If the determinant of A is 0 then Ax = 0 has infinitely many solutions.

If the determinant is zero that means the matrix A is not invertible.

That implies there exists a non zero x such that Ax=0 that is,

Then by linearity of A, every scalar multiple of x is mapped to zero by A.

Therefore, the system yields an infinite number of solutions.

Therefore, the statement is a true statement.