One study claimed that 86% of college students identify themselves as procrastinators a professor believes that the claim regarding college students is too high the professor conducts a simple random sample of 279 college students and find that 231 of them identify themselves as procrastinators does this evidence support the professors claim that fewer than 86% of college students are procrastinators use a .02 level of significance

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

-13 degrees celcius.

Step-by-step explanation:

6 degrees are lowered every hour. 6*8 = 48 degrees, 48 degrees are lowered.

35-48 is -13. The room temperature will be -13 eight hours after the process begins.

Answer:

it would be 30:11

Step-by-step explanation:

Answer:

390

Step-by-step explanation:

5:13 = 150:x

150 ÷ 5 = 30

13 × 30 = 390

Therefore, you would have 390 Jawbreakers. The new ratio of Jolly Ranchers to Jawbreakers would be 150:390

Hope this helped :))

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

x^2               -2x              +5

Step-by-step explanation:

               x^2               -2x              +5

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

2x + 5  /    2x^3      +     x^2       +    0x         + 25

               -(2x^3      +   5x^2)

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

                                    -4x^2       +    0x        

                                  -( -4x^2      -    10x )

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

                                                           10x           + 25

                                                         -(10x            + 25)

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

                                                                                   0

The desired quotient is x^2               -2x              +5

Answer:

Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.

Step-by-step explanation:

The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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Answer:

$1 x $560 =$560

Step-by-step explanation:

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Answer:

1 /100

Step-by-step explanation:

Probability = (number of required outcomes / number of total possible outcomes)

Total possible outcomes = count of all 3 digit numbers ={100, 101,... 999} = 900

Required outcome = count of Three digit numbers with all 3 digits being the same = {111,222,333,444,555,666,777,888,999} = 9

Hence, probability that selected number has all 3 digits being the same :

9 / 900 = 1 /100

We can see that the dot plot is seen below.

We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.

Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.

Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.

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Answer:

There are many sources of student credit cards. One can obtain a student credit card through companies such as Capital One, Discover, Visa, or Mastercard.

Step-by-step explanation:

The probability that a student has either a Visa card or a Mastercard is 0.98 or 98%.

To find the probability that a student has either a Visa card or a Mastercard, we can use the principle of probability for the union of two events.

Let V be the event of having a Visa card, and M be the event of having a Mastercard.

The probability of having either a Visa card or a Mastercard (V or M) is given by:

P(V or M) = P(V) + P(M) - P(V and M)

Where:

P(V) = Probability of having a Visa card = 0.81

P(M) = Probability of having a Mastercard = 0.17

P(V and M) = Probability of having both a Visa card and a Mastercard = 0.06

Now, plug in the given values:

P(V or M) = 0.81 + 0.17 - 0.06

P(V or M) = 0.98

So, To find the probability that a student has either a Visa card or a Mastercard, we can use the principle of probability for the union of two events.

Let V be the event of having a Visa card, and M be the event of having a Mastercard.

The probability of having either a Visa card or a Mastercard (V or M) is given by:

P(V or M) = P(V) + P(M) - P(V and M)

Where:

P(V) = Probability of having a Visa card = 0.81

P(M) = Probability of having a Mastercard = 0.17

P(V and M) = Probability of having both a Visa card and a Mastercard = 0.06

Now, plug in the given values:

P(V or M) = 0.81 + 0.17 - 0.06

P(V or M) = 0.98

So, the probability that a student has either a Visa card or a Mastercard is 0.98 or 98%.

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Answer:

Before a variable there is no coefficient.

There is an invisible 1 infront bc there is no real number. so the 1 appears.

By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.

We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.

We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.

Remember the relation:

1 gallon  = 8 pints.

So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:

5*8 pint jars = 40 pint jars.

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Answer:

need image

Step-by-step explanation:

Answer:

a = 14 and d = 6.67

Step-by-step explanation:

The nth term of an AP is given by :

\(a_n=a+(n-1)d\)

Where

a is the first term and d is the common difference

ATQ,

An arithmetic sequence has the 7th term of 54 and the 13th term of 94 i.e.

\(a+6d=54\ ......(1)\\\\a+12d=94\ ........(2)\)

Subtract equation (2) from (1).

a+6d-(a+12d) = 54-94

a+6d-a-12d = -40

-6d = -40

d = 6.67

Put the value of d in equation (1).

\(a+6(6.666)=54\\\\a=54-39.96\\\\a=14.04\)

or

a = 14

Hence, the first term is 14 and the common difference is 6.67.

Answer:

h ≈ 209 ft

Step-by-step explanation:

The illustration forms 2 right angle triangle with same height , which is the height of the pyramid.

The first triangle has an unknown adjacent side and height but the angle is 31° 10'. The larger triangle has adjacent side of 120 ft plus the adjacent side of the smaller triangle.

let

the adjacent side of the smaller triangle = a

recall both triangle have same height = h

Therefore,

tan 31° 10' = opposite/adjacent = h/a

tan 31.167 = h/a

h = a tan 31.167

h = 0.6048345941  a

The larger triangle

adjacent side = 120 + a

height = h

tan 24° 10' = h/120 + a

convert the minutes to degree

tan 24.167° = h/120 + a

cross multiply

120 + a tan 24.167 = h

120 + a (0.44872570999 ) = h

h = 53.8470851998  + 0.44872570999a

Therefore,

0.6048345941  a  = 53.8470851998  + 0.44872570999a

0.6048345941  a  - 0.44872570999a = 53.8470851998

0.1561094942 a = 53.8470851998

divide both sides by 0.1561094942

a = 53.8470851998 / 0.1561094942

a = 344.931520506

a ≈ 345 ft

The height can be computed as

tan 31.167 = h/a

h = 345 × tan 31.167

h = 345 × 0.6048345941

h = 208.667934967

h ≈ 209 ft

Answer:

85-9y= 7(4+y)

solve for y if you need to simplify

Answer:

A

Step-by-step explanation:

Angles that form a straight line ( add up to 180 ) are supplementary

angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary

Angles 1 and 7 are congruent angles

so angle 2 = 125

Subtract 125 from 180 = 55

180 - 125 = 55 degrees

Answer:

your answer is correct just add the label

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

Answer:

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

Step-by-step explanation:

We have to find the equation of the line that passes through the points (8,0) and (-9,-9).

Let the two points be (\(x_1,y_1\)) = (8, 0) and (\(x_2, y_2\)) = (-9, -9).

Now, we will find the two-point slope using the above two points, i.e;

Slope =  \(\frac{y_2-y_1}{x_2-x_1}\)

          =  \(\frac{-9-0}{-9-8}\)  =  \(\frac{9}{17}\)

Now, the equation of the line using one of the point, let's say (\(x_1,y_1\)) = (8, 0) is given by;

\(y - y_1 = \text{Slope} \times (x - x_1)\)

\(y - 0 =\frac{9}{17} \times (x - 8)\)

\(y =\frac{9x}{17} - \frac{72}{17}\)

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

these triangles some is 90°.

72°+2x=90°

2x=90°-72

2x=18

x=18/2

x=9

Answer: what do need help on

Step-by-step explanation:

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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The range of the function on the graph is y > -6

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is an exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

In this case, it is -6 i.e. the point where it intersects with the y-axis

So, the range is y > -6

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