3/8 of the employees work in accounting. What fraction does not?

Answers

Answer 1
5/8 of the employees do not.

Related Questions

1. Which of these is an infinite arithmetic sequence?
O {691, 632, 573, 514}
O {232, 354, 476, 598, ...}
O {845, 169, 33.8, 6.76, ...}
O {724, -362, 181, -90.5}

Answers

Answer: Choice B

Each time we're adding 122 to each term to get the next term

232+122 = 354354+122 = 476476+122 = 598

This goes on forever because of the three dots, hence the set is infinitely large.

We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.

Find the arc length????????

Find the arc length????????

Answers

Answer:

don't believe the other guy he is a scaming bot don't click the link

Jerry has $5 and $10 bills in his wallet. He has a total of 7 bills in his wallet for a total of $50. How many bills does he have of each?

Answers

Answer:

Step-by-step explanation:

If the volume of a cube is
64 cubic feet, what is the
surface area of the cube in
square feet?

Answers

Answer:

96 ft^2

Step-by-step explanation:

volume=l^3

l=4

4x4x4=64

Surface area (4x4)=16

16x6=96

Answer:

SA =96 ft^2

Step-by-step explanation:

The volume of a cube is given by

V = s^3

64 = s^3

Take the cube root of each side

64 ^ 1/3 = s^3 ^ 1/3

4 =s

The side length si 4

The surface area of a cube is

SA = 6 s^2

SA = 6 * 4^2

SA = 6 * 16

SA =96 ft^2

Graph the solution to this inequality on the number line (pls help!)

Graph the solution to this inequality on the number line (pls help!)

Answers

Answer: A. x <= -3

Step-by-step explanation:

First, let's begin by simplifying the inequality:

-4x >= 12    ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...

-4x / -4 <= 12 / -4    ← Simplify...

x <= -3

Now, we need to find the right number line representing this inequality.

There should be a solid dot over -3, because the inequality includes the value -3 (x includes values less than and equal to -3).The number line should be pointing to the left, towards values less than -3.

The number line that fits these criteria would be A.

Classify the triangle as scalene, isosceles, or
equilateral. Show your work. D(8,-6), E(-1, -3), F(-2, 5)?

Answers

Answer:

Step-by-step explanation:

I love you

Answer:

Step-by-step explanation:

first

secnf

Use geometry to evaluate

Use geometry to evaluate

Answers

Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Use geometry to evaluate
Use geometry to evaluate

The difference of a number and 6 is the same as 5 times the sun of the number and 2 what’s is the number

The difference of a number and 6 is the same as 5 times the sun of the number and 2 whats is the number

Answers

Answer:

-4

Step-by-step explanation:

let x equal the unknown number

x-6 = 5(x + 2)

You need to distribute the 5

x-6 = 5x + 10

Then subtract x from 5x

-6 = 4x + 10

Subtract the 10 from -6

-16 = 4x

Divide

-4 = x

1. Determine the volume of the rectangular prism in two different ways.
3/4 ft
3/8ft
3/4ft

Answers

By first method, he volume of the rectangular prism is (9/32) cubic feet.

By second method, the volume of the rectangular prism is (27/64) cubic feet, which agrees with the volume calculated using the first method.

What is volume?

Volume is a measurement of the amount of space that an object occupies. It is the three-dimensional space occupied by an object. Volume is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, and so on.

We can determine the volume of the rectangular prism in two different ways using the formula:

Volume = Length x Width x Height

First Method:

In the first method, we simply substitute the given dimensions of the rectangular prism into the formula and calculate the volume:

Volume = (3/4) ft x (3/8) ft x (3/4) ft

Volume = (9/32) ft³

Second Method:

In the second method, we can use the fact that the rectangular prism can be divided into 4 smaller rectangular prisms, each with dimensions (3/4) ft x (3/8) ft x (3/16) ft. We can calculate the volume of one of these smaller prisms and then multiply by 4 to get the total volume:

Volume of one smaller prism = (3/4) ft x (3/8) ft x (3/16) ft

Volume of one smaller prism = (27/256) ft³

Total volume = 4 x Volume of one smaller prism

Total volume = 4 x (27/256) ft³

Total volume = (27/64) ft³

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The entrance fee for a theme park is $20. Tickets for each ride and attraction are $3 a piece. Which of the following equations describes the relation between the total cost (Y) and the number of tickets purchased (X) in a single visit to the park?
a. Y = 3+ 20X
b. Y = 60X
c. Y = 20 +3X
d. X = 20 +3Y
Answer: c. Y = 20 +3X

Answers

The system of equation that describes the relation between the total cost (Y) and the number of tickets purchased (X) in a single visit to the park is Y = 3X + 20 i.e, option (C)

Define System of Equation

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given,

Cost of theme park is = $20

Tickets for each ride and attraction are = $3 a piece

Number of tickets purchased = X

So, total cost of tickets is = 3 * X

Total cost of visit to the theme park is = Y

So, the equation we get

Y = 3X + 20

Hence, the system of equation that describes the relation between the total cost (Y) and the number of tickets purchased (X) in a single visit to the park is Y = 3X + 20 i.e, option (C).

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After a self-assessment, the owner of Tony's Fresh and Hot Pizza Shop realizes that he lacks the
creativity to offer a large menu that competes with gourmet pizza shops. What is Tony's best
strategy for
successfully competing despite this weakness?
Start making something other than pizza.
O Promote his fast delivery service of hot pizzas.
O Buy a franchise gourmet pizza shop with a large menu.
Wait for gourmet pizza to go out of style.

Answers

Tony's should focus on identifying and leveraging its unique strengths and offering a differentiated value proposition to customers.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

As the owner of Tony's Fresh and Hot Pizza Shop lacks creativity in offering a large menu, the best strategy for successfully competing despite this weakness is to focus on a niche and differentiate from the competition.

One possible approach could be to specialize in a specific type of pizza, such as Chicago-style deep-dish or Neapolitan-style pizza, and offer a limited but high-quality menu of toppings and flavors. This would allow Tony's to establish a reputation for excellence in a particular style of pizza, which could attract a loyal customer base.

Another strategy could be to emphasize the convenience and speed of Tony's delivery service, promoting the fact that customers can get hot, fresh pizza delivered to their door quickly. This could appeal to busy customers who prioritize convenience over a large menu selection.

Buying a franchise gourmet pizza shop with a large menu might not be a feasible option for Tony's, as it would require a significant investment and might not align with the business's strengths or values.

Finally, waiting for gourmet pizza to go out of style is not a reliable or proactive strategy for success.

Therefore, Tony's should focus on identifying and leveraging its unique strengths and offering a differentiated value proposition to customers.

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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F

Answers

Answer:

I think its C

Step-by-step explanation:

I need help please!!!! I need the answer like right now please!! Thank you!!!

I need help please!!!! I need the answer like right now please!! Thank you!!!

Answers

For each row, multiple the first column ($) with the second column (%) and the answer goes on the third column.

For example (Calculator);
$9.60 x 25% = $2.40

The answer above would go on the third column.

Because the first three are examples of markup, you add that $2.40 with the original price and that answer goes on the last column.

The bottom three, you'd repeat the process, but rather than adding the discount and original, you are subtracting.

Let me know if I need to elaborate a little more and I hope this helped a bit!

In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.

In the figure below, two secants are drawn to a circle from exterior point V.Suppose that VZ=30, VW=45,

Answers

The value of secant XY is 37.5 units.

How to find the value of secant XY?

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

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9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?​

Answers

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Which description is paired with its correct expression?
four less than the quotient of a number cubed and seven, increased by three; 4-2+3
five times the difference of a number squared and six; 5(6-n²)
nine more than the quotient of six and a number cubed, decreased by four; 8+²-4
9+
O twice the difference of nine and a number squared; 2(9-n²)

Answers

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.​

Answers

To find the length of AB, we need to use the properties of a tangent to a circle.

When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.

We can use the Pythagorean theorem to find the length of AB:

AB^2 = AD^2 + BD^2

Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:

(8x)^2 = (x + 9)^2 + (7x - 9)^2

64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81

64x^2 = 50x^2 - 108x + 162

14x^2 + 108x - 162 = 0

Dividing the equation by 2, we get:

7x^2 + 54x - 81 = 0

Using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

a = 7, b = 54, c = -81

x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)

x = (-54 ± √(2916 + 2268)) / 14

x = (-54 ± √5184) / 14

x = (-54 ± 72) / 14

Now we solve for x:

Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7

Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9

Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.

Therefore, x = 9/7.

Substituting this value back into AB = 8x:

AB = 8 * (9/7) = 72/7 ≈ 10.29

Rounding to 2 decimal places, the length of AB is approximately 10.29 units.

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Given the function

f(x)=7x2−2x+5.Calculate the following values:

f(−2)=

f(−1)=

f(0)=

f(1)=

f(2)=

Answers

This is the answers and their coordinates

Given the function f(x)=7x22x+5.Calculate the following values:f(2)=f(1)=f(0)=f(1)=f(2)=

21x² - 2x + 1/2 =0

find the following quadratic equation by factorization method
PLESE SOMEONE HELP

Answers

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.

Answers

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Sam plays the violin and the guitar. There are 4 strings on a violin and 6 strings on a guitar. If he has 5 instruments with a total of 28 strings, how many of his 5 instruments are guitars?​

Answers

Answer:

4 of them

here's why

\(6 * 4 = 24\\24 + 4v = 28\)

v means violin. it's an algebra variable I used to shorten the problem.

Please give brainliest when it shows up! the month is almost over and im on a time limit.

in an examination 25 percentage of them failed to obtain the pass mark. the number of candidates who passed was 150 . how many candidates failed . show working​

Answers

9514 1404 393

Answer:

  50 failed

Step-by-step explanation:

If 25% failed, then 100% -25% = 75% passed. The number who failed is ...

  failed/passed = 25%/75% = 1/3

of the number who passed.

  (1/3)(150) = 50 . . . . candidates failed

The first quartile is the median of the upper half of a data set.
True
False

Answers

Answer:

false

Step-by-step explanation:

the first quartile is the median of lower half of data

here a subtraction problem that has been solved incorrectly for 21-9=11 choose the addition sentence that check this subtraction problem what is the answer​

Answers

Answer:

21-9 = 12

Step-by-step explanation:

I don't know if this is the correct sentence you are looking for though but i hope it helps

4. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $56,400.

Answers

Answer:759

Step-by-step explanation:

Use the whole numbers 0 through 9, at most one time, to fill in the boxes to create an accurate number line?

Answers

A possible arrangement of the whole numbers 0 through 9, at most one time, to create an accurate number line is: 0 - 3 - 1 - 2 - 4 - 7 - 6 - 5 - 9 - 8.

To create an accurate number line using the whole numbers 0 through 9, at most one time, we need to arrange the numbers in ascending order from left to right.

To maintain the right spacing, each number should be spaced at an acceptable interval. Here is one possible configuration:

0 - 3 - 1 - 2 - 4 - 7 - 6 - 5 - 9 - 8.

In this arrangement, each number appears exactly once, and they are placed in sequential order with equal spacing between them.

This creates an accurate number line representing the whole numbers 0 through 9.

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given are the data for two variables, and . do not round your intermediate calculations. a. develop an estimated regression equation for these data by computing and (to decimals). enter negative values as negative numbers. b. compute the residuals (to decimals). enter negative values as negative numbers. c. consider the following three scatter diagrams of the residuals against the independent variable. which of the following accurately represents the data? 1. 2. 3. scatter diagram

Answers

y^ = -7.022 + 1.587x

How to develop an estimated regression?

                    df           SS           MS          F         p value

Regression       1        317.460  317.5 13.350 0.035

Residual              3 71.340 23.7799    

Total              4       388.800      

         

                  Coeff     Std Error     t Stat P-value  t critical

Constant    -7.0222 6.461 -1.087 0.3566  

    x1              1.5873 0.434 3.654 0.0354   3.182

A.)

b1 = 1.587

bo = -7.022

y^ = -7.022 + 1.587x

B.)

residual

3.50

-2.44

-4.79

-1.55

5.28

C.)

SRES

1.3275

-0.5857

-1.1031

-0.3873

1.5087

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Complete Question:

Given Are The Data For Two Variables, X And Y. Do Not Round Your Intermediate Calculations. 24 6 11 15 18 20 Yi 6 8 12 20 30.. A. develop an estimated regression equation for these data by computing and (to decimals). enter negative values as negative numbers. B. compute the residuals (to decimals). enter negative values as negative numbers. C. consider the following three scatter diagrams of the residuals against the independent variable. which of the following accurately represents the data? 1. 2. 3. scatter diagram

The equation that accurately represents estimated regression in the data is y^ = -7.022 + 1.587x

How to develop an estimated regression?

                   df           SS           MS          F         p value

Regression       1        317.460  317.5 13.350 0.035

Residual              3 71.340 23.7799    

Total              4       388.800      

       

                 Coeff     Std Error     t Stat P-value  t critical

Constant    -7.0222 6.461 -1.087 0.3566  

   x1             1.5873 0.434 3.654 0.0354   3.182

A.)

b1 = 1.587

bo = -7.022

y^ = -7.022 + 1.587x

B.)

residual

3.50

-2.44

-4.79

-1.55

5.28

C.)

SRES

1.3275

-0.5857

-1.1031

-0.3873

1.5087

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Complete Question:

Given Are The Data For Two Variables, X And Y. Do Not Round Your Intermediate Calculations. 24 6 11 15 18 20 Yi 6 8 12 20 30.. A. develop an estimated regression equation for these data by computing and (to decimals). enter negative values as negative numbers. B. compute the residuals (to decimals). enter negative values as negative numbers. C. consider the following three scatter diagrams of the residuals against the independent variable. which of the following accurately represents the data? 1. 2. 3. scatter diagram

3xy+p=12
Find y when x=8 and p= 2
Find p when x=5 and 9= -8

Answers

3xy+p=12
3(8)y + 2 =12
24y+2 =12
24y = 10
y = 24/10 or 12/5

3xy+p=12
3(5)y-8 =12
15y-8=12
15y=20
y= 15/20 or 3/4

algebra domain and range please help

algebra domain and range please help

Answers

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Compound Interest
When Jack turned 21, he decided to start investing $200 a month every year for nine years. At age 30, he decided to stop investing altogether.

Blake started a little later, investing $200 a month every month starting at age 30, all the way until the ripe old age of 67.

Assuming that they were both amazing at investing and made 11% interest per year, how much money will they both have at age 67?

Answers

Answer:

Jack $1800 Blake $7400

Step-by-step explanation:

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which feature allows formatting to be automatically added to new columns and rows yesterday i paid $51 for a crew neck. today, the same store is selling crew necks for $45. is this statement a consumer, producer surplus? Use the following data to calculate the cost of common equity raised by selling new shares: D = $1.75; Po = $42.50; g = 7.00% (constant); and F = 5.00%. Select one: O a. 10.77% O b. 11.33% O c. 11.90% O d. 12.50% Oe. 13.12% Which of the following statements about NEXTVAL and CURRVAL is incorrect?a. The pseudocolumn NEXTVAL is used to actually generate the sequence value. b. After the value is generated, it is stored in the CURRVAL pseudocolumn so it can bereferenced again by a user. c. A reference to CURRVAL will not cause Oracle to generate a new sequence number, areference to NEXTVAL, however, will generate a new number. d. NEXTVAL and CURRVAL are pseudocolumns that store unique names for databaseobjects. Analyze each of the following reactions in terms of constituent quarks and show that each type of quark is conserved. (b) K + p K + K+ what is the singular ideal-elment (definition andexamples)?? What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 30 and 39 a recent study reported the mean body mass index (bmi) for adults in the united states was 26.8. a researcher believes the mean bmi of marathon runners is less than 26.8. a random sample of 35 marathon runners had a mean bmi of 22.7 with a standard deviation of 3.1. the researcher will conduct a one-sample t -test for a population mean. have the conditions for inference been met? Multiple-choice questions each have five possible answers(a,b,c,d,e),one of which is correct. Assume that you guess the answers to 3 such problem:a. Use the multiplication rule to find the probability that the first 2 guesses are wrong and the 3rd is correct.b. Beginning with 2wrong and 1 correct,(WWC), make a complete list of all possibilities of 2 wrong and 1 correct, then find the probability for each.c. Based on the preceding results, what is the probability of getting exactly one correct answer when 3 guesses are made? What is 60% of zero? What information is likely to have the most significant effect on the demand analysis step of workforce planning Describe how to find the gcf of two numbers by using prime factorization Investiga sobre la minga como institucin de reciprocidad andina y escribe ejemplos de cmo se la practica What would the potential of a standard hydrogen (S.H.E.) electrode be if it was under the following conditions?[H+] = 0.77 MPH2 = 1.4 atmT = 298 K In many cases, animals display structural traits of their ancestors only during embryonic development. Which of the following aquatic organisms might display limbs during embryonic development?blue whaleskiller whales which of the following processes will be associated with a positive change in entropy for the system? A school district is interested in attendance data for students in middle school and high school. The results for one day are summarized in the table. If a student is selected at random, what is the probability that they are a middle school student who was present that day? type your answer... If a high school student is selected at random, what is the probability that they were absent on that day? type your answer... If a student who was present on that day is selected at random, what is the probability that they are in middle school?https://dmschools.quiz-lti-iad-prod.instructure.com/taking/95104/take sandra is a nine-year-old girl. she was always the last student in class to finish assignments because she could only write slowly, and even then, her writing would be virtually illegible and riddled with spelling mistakes. her teacher referred her to a psychologist who diagnosed her with a learning disability called which of the following shows the best use of parallelism in the bullet point of a student's resume? group of answer choices conducted over 500 cold calls to potential customers as well as communication through social media conducted over 500 cold calls and i communicated with potential customers through social media conducted over 500 cold calls to potential customers and communicated promotions on social media The idea that facial expressions can influence emotions as well as reflect them is known as the _____ hypothesis.