A college newspaper interviews a psychologist about a proposed system for rating the teaching ability of faculty members. The psychologist says, The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero." A correct interpretation of this statement would be

a. good teachers tend to be poor researchers and vice versa.

b. good researchers are just as likely to be good teachers as they are bad teachers

c. good research and good teaching go hand in hand.

d. good researchers tend to be poor teachers and vice versa.

Answer:

a=17.320

Step-by-step explanation:

Answer:

a = 17.32

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+10^2=20^2\\a^2+100=400\\a^2=300\\a=17.32\)

The correct answer is option 2. The radius of the balloon after 9 minutes is approximately 0.7889 centimeters.

To find the radius of the balloon after 9 minutes, we substitute t = 9 into the equation r(t) = 3√t + 6:

r(9) = 3√9 + 6

r(9) = 3 * 3 + 6

r(9) = 9 + 6

r(9) = 15

Therefore, the radius of the balloon after 9 minutes is 15 centimeters.

However, none of the given options match the value of 15 centimeters. It is possible that there was an error in the options provided or in the calculations. If we assume that option 2 corresponds to the radius after 9 minutes, the value of 0.7889 centimeters does not align with the equation r(9) = 15. Therefore, there may be a discrepancy in the options or in the calculations provided.

Learn more about radius here:

https://brainly.com/question/13449316

#SPJ11

\( \frac{4}{5} (w + z) \\ = \frac{4}{5} (12 + 43) \\ = \frac{4}{5} (55) \\ = 4(11) \\ = 44\)

ATTACHED IS THE SOLUTION

Answer:

-10 3/4 hope this help

Step-by-step explanation:

Answer:

the first opinion is correct  

Step-by-step explanation:

The centre line of a control chart is calculated by computing the average (mean) of the data for every period.

In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.

The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.

To learn more about mean refer:

https://brainly.com/question/20118982

#SPJ11

Answer:

the answer should be 5 sorry if wrong

Answer:

5

Step-by-step explanation:

y=xx5

Answer:

3p^2 -6p +3

Step-by-step explanation:

(3p-3) ( p-1)

We can FOIL

first : 3p*p = 3p^2

outer: 3p * -1 = -3p

inner: -3*p = -3p

last: -3*-1 = 3

Add them together : 3p^2 -3p -3p +3

                                  3p^2 -6p +3

Answer:

4th answer is correct

Step-by-step explanation:

( 3p - 3 ) ( p - 1 )

Multiply each term in ( p - 1 ) by 3p and -3.

3p ( p - 1 ) - 3 ( p - 1 )

Solve the brackets.

3p² - 3p - 3p + 3

Combine like terms.

3p² - 6p + 3

Answer:

a) 14

b) 13

Step-by-step explanation:

P= Purse W= Watch

1P + 1W = 27 (So think about different combinations that make 27)

2P + 1W = 41 (Multiply this by negative 1)

So now you have

1P + 1W = 27

-2P - 1W = -41

You can subtract them

-1P = -14 or 1P = 14

So 1 purse = 14

Now plug it in

14 + 1W = 27 (Subtract 14 from both sides)

1W = 13

So 1 watch = 13

Furthermore, 1 watch = 13 and 1 purse = 14

Answer:

Irrational

Step-by-step explanation:

40 is not a perfect square.

Answer:

irrational

Step-by-step explanation:

40 isnt a perfect square where if you want to know weather it is or not you put the square root of any number on the calculator and if it's the same answer or in the answer there is a square root then it is an irrational number

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation:

The circumference of the circle shows that the number of stones needed will be 13.

It should be noted that the circumference of a circle is calculated by using the formula:

= 2πr

= 2 × 3.142 × (4/2)

= 12.568

= 13 approximately

Therefore, 13 stones are needed.

Learn more about circle on:

https://brainly.com/question/22965557

Answer:

Option A

Step-by-step explanation:

Since X,Y and Z are on the same line, The gradient is the same so far as the point chosen are on the same line.

Answer: 9cm

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

To find it you must multiply the length by 2

25 × 2 = 50

Then subtract the result with the perimeter

68-50 = 18

And the result of that is your answer

Answer:

srry if this is wrong but 13!

To solve the given system of differential equations using the Laplace transform method, we apply the Laplace transform to each equation and solve for the transformed variables. The solutions is  x(t), y(t), and z(t) in the time domain.

For the given system:

dx/dt = y - 2z - t,

dy/dt = x + 2 + 2t,

dz/dt = x - y - 2.

Applying the Laplace transform to each equation, we obtain:

sX(s) - x(0) = Y(s) - 2Z(s) - 1/s^2,

sY(s) - y(0) = X(s) + 2/s + 2/s^2,

sZ(s) - z(0) = X(s) - Y(s) - 2/s.

Since x(0) = y(0) = z(0) = 0, we can simplify the equations:

sX(s) = Y(s) - 2Z(s) - 1/s^2,

sY(s) = X(s) + 2/s + 2/s^2,

sZ(s) = X(s) - Y(s) - 2/s.

We can now solve these equations to find X(s), Y(s), and Z(s) in terms of the Laplace variables. After finding the inverse Laplace transform of each variable, we obtain the solutions x(t), y(t), and z(t) in the time domain.

To learn more about differential equations click here

brainly.com/question/28921451

#SPJ11

So the value of x is 4.8

15x + 48= 120

Now we send the 48 on the right side.

15x= 120-48.

Here we subtract 48 from 120 we get

15x= 72

In the next step we divide the both sides with 15

15x/15= 72/15

x=4.8

So the value of x is 4.8  

To know more about the topic please click here.

https://brainly.com/question/19586439

7,5% - 75
100% - x
75 = 0,075x
75/0,075 = x
x = 1000

Answer: 1000

Step-by-step explanation: 7.5% can also be expressed as 0.075 because you divide it by 100. 0.075 times a number =75. You can move the decimal point 3 spaces to get to 75 which is the same thing as multiplying by 1000.

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

To know more about blood refer here:

https://brainly.com/question/30828552#

#SPJ11

The answer is b=18. To solve, multiply 6 by 3 to get 18. This is called doing the inverse operation. Since the equation is a division equation, we would have to multiply in order to find the missing variable.

Answer:

$90

Step-by-step explanation:

7200/80=90

Answer:

$111

Step-by-step explanation: 80 divided by 72 is 111.

Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.

Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.

Answer:

The value of the 6 in 0.96 is 110 the value of the 6 in 93.601

Step-by-step explanation:

Answer:

m = (y2-y1)/(x2-x1) = (6-0)/(2-0) = 3

According to the given expression, the value of b if \(b^2=b^{-10}\\\) is -1 and + 1

Indices are expressed using exponents and bases. Some of the useful laws of indices are:

\(a^m\times a^n=a^{m+n}\\a^{-n}=\frac{1}{a^n}\)

Given the expression;

\(b^2=b^{-10}\\\)

This can also be expressed as:

\(b^2=\frac{1}{b^{10}}\\b^2 \times b^{10} =1\\b^{2+10} =1\\b^{12}=1\\b=\pm\sqrt[12]{1}\\b=\pm1\)

Hence the value of b from the given indices is -1 and + 1

Learn more here: https://brainly.com/question/20298728

Answer:

Below

Step-by-step explanation:

g(x) = 1/12 x - 6.

The function f(x) shrinking vertically by a factor of 12 and translated down 6 units is

g(x) = x/12 - 6.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

f(x) = x

g(x) is the translation of f(x).

Now,

f(x) is vertically shrunk by a factor of 12.

This means,

= f(x)/12

So,

g(x) = x/12

Now,

f(x) is translated down 6 units.

This means,

f(x) - 6

So,

g(x) = x/12 - 6

Thus,

The function of g(x) is x/12 - 6.

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ5

Within the Symphony No. 5, right at the beginning (0:00) of this excerpt, the music starts with the introductory section, the so-called "exposition."

The exposition is a crucial section in the sonata form structure commonly found in classical symphonies. It is the initial part of the movement where the main thematic material is introduced and developed. In the case of Symphony No. 5, the excerpt begins with the exposition, which serves as an introduction to the musical ideas that will be further developed throughout the movement. During the exposition, the composer presents the primary themes and motifs that will shape the rest of the piece. It establishes the tonal center and introduces contrasting elements that create tension and interest. In Symphony No. 5, the introductory section of the exposition sets the stage for the thematic material that will unfold, capturing the listener's attention and establishing the musical foundation for the rest of the movement. This section is often characterized by its distinctive melodies, harmonic progressions, and rhythmic patterns that define the musical identity of the symphony.

Learn more about Symphony here:

https://brainly.com/question/30389992

#SPJ11

There are 13 spades in a deck of cards if we only consider one suit. There are 1,277 5-card hands that have no cards with the same rank.

A deck of cards contains 52 cards, and there are 4 suits (clubs, diamonds, hearts, and spades), each containing 13 cards. Therefore, if we only consider the spades suit, there are 13 spades in a deck.

There are 1,277 5-card hands that have no cards with the same rank.

To count the number of 5-card hands that have no cards with the same rank, we need to choose 5 cards from the 13 available ranks. We can do this in the following way:

Choose the rank of the first card, which can be any of the 13 available ranks.

Choose the suit of the first card, which can be any of the 4 suits.

Choose the rank of the second card, which can be any of the 12 remaining ranks.

Choose the suit of the second card, which can be any of the 4 suits except for the suit of the first card.

Choose the rank of the third card, which can be any of the 11 remaining ranks.

Choose the suit of the third card, which can be any of the 4 suits except for the suits of the first and second cards.

Choose the rank of the fourth card, which can be any of the 10 remaining ranks.

Choose the suit of the fourth card, which can be any of the 4 suits except for the suits of the first, second, and third cards.

Choose the rank of the fifth card, which can be any of the 9 remaining ranks.

Choose the suit of the fifth card, which can be any of the 4 suits except for the suits of the first, second, third, and fourth cards.

Therefore, the number of 5-card hands that have no cards with the same rank is:

13 x 4 x 12 x 4 x 11 x 4 x 10 x 4 x 9 x 4 = 1,277,520

However, this counts each hand four times (once for each possible suit for the five cards), so we need to divide by 4^5 to get the number of distinct hands, which is:

1,277,520 / 1024 = 1,277

To know more on 5-card hands

https://brainly.com/question/13251568

#SPJ4

Answer:

The answer should be 3 cubic cm

Step-by-step explanation:

First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3

To find volume, you plug the area in the volume formula

v=1/3 ah

v=1/3 (3)(3)

1/3(9) would be 3 cubic cm

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

Answer:

i dont know

Step-by-step explanation:

The division of 16 - 8x - 7x² + 2x³ by x - 4 will have a quotient of 2x² + x - 4 and a remainder of 0 using synthetic division.

The procedure for synthetic division involves the following steps:

Divide.

Multiply.

Subtract.

Bring down the next term, and

Repeat the process to get zero or arrive at a remainder.

We shall rearrange 16 - 8x - 7x² + 2x³ to become 2x³ - 7x² - 8x + 16 and then divide by x - 4 as follows;

2x³ divided by x equals 2x²

x - 4 multiplied by 2x² equals 2x³ - 8x²

subtract 2x³ - 8x² from 2x³ - 7x² - 8x + 16 will give x² - 8x

x² divided by x equals x

x - 4 multiplied by x equals x² - 4x

subtract x² - 4x from x² - 8x will give us -4x + 16

-4x divided by x equals -4

x - 4 multiplied by -4 equals -4x + 16

subtract -4x + 16 from -4x + 16 will result to a remainder of 0

Therefore by synthetic division, 16 - 8x - 7x² + 2x³ divided by x - 4 is equal to the quotient of 2x² + x - 4 with a remainder of 0.

Learn more about synthetic division here: https://brainly.com/question/25289437

#SPJ1

The construction being demonstrated is constructing a perpendicular bisector.

In this construction, a line is drawn to bisect a given line segment and is perpendicular to that line segment. The perpendicular bisector divides the line segment into two equal parts and creates a right angle at the point of intersection. It is useful in various geometric constructions and applications, such as finding the midpoint of a line segment or constructing equilateral triangles. By constructing a perpendicular bisector, we ensure that the distances from any point on the line to the endpoints of the line segment are equal.

Know more about perpendicular bisector here:

https://brainly.com/question/29132624

#SPJ11