events A and B in some sample sapce each have a probability 0.5 of occuring, while the probability that both occur (simultaneously) is 0.25. what is the probability that neither of A or B occurs? this is the work i did, can i please get some guidance

Events A And B In Some Sample Sapce Each Have A Probability 0.5 Of Occuring, While The Probability That

Answers

Answer 1
Answer:  0.25

=============================================

Explanation:

I appreciate you showing your work so far, and your thought process.

Your steps are correct because the events [tex]A \cup B[/tex] and [tex](A \cup B)'[/tex] are complementary, aka opposite. One or the other must happen. It's like a coin flip heads vs tails.

The last thing you need to do really is simplify 1-0.5-0.5+0.25 to get the final answer 0.25

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

This is what I would do as an approach.

P(A u B) = P(A) + P(B) - P(A n B)

P(A u B) = 0.5 + 0.5 - 0.25

P(A u B) = 0.75

So,

P( (A u B)' ) = 1 - P(A u B)

P( (A u B)' ) = 1 - 0.75

P( (A u B)' ) = 0.25

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

Another approach:

Imagine we had 100 people.

50 are in set A to give P(A) = 50/100 = 0.50

50 are in set B to give P(B) = 0.50

25 are in both A and B to get P(A n B) = 25/100 = 0.25

50+50-25 = 75 people are in either A, or B, or both

That leaves 100-75 = 25 in neither set

25/100 = 0.25

I recommend to draw out the Venn Diagram.


Related Questions

need the answer asap ! thank you to anyone who helps !

Answers

Answer:

Step-by-step explanation:

D

16 - x + x + 19 - x = 31

Answers

Answer:

X = 4

Step-by-step explanation:

We have to add like variables, so all the x variables will be added together. We get this:
-x + 35 = 31

Get x by itself.
-x = -4

Get rid of the negatives since what you do on one side you do to both sides.

x = 4

I hope this was able to help you out :D

16 (-x +x ) +19 + x = 31

16+19+x = 31

35+x = 31

x= -4

hey buddy i hope uh got an answer

As part of a project about response bias, Ellery surveyed a random sample of 25 students from her school. One of the questions in the survey required students to state their GPA aloud. Based on the responses, Ellery said she was 90% confident that the interval from 3. 14 to 3. 52 captures the mean GPA for all students at her school.


Required:

a. Interpret the confidence level.

b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.

c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?

d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error

Answers

It should be emphasized that this suggests that we are 90% certain that the mean GPA for all students at the institution is between 3.14 and 3.52

Sampling

If the confidence level were raised to 99%, something would happen to the interval's length, increasing it.

The difference between a 90% confidence interval based on a 200-person sample and the original 90% interval is that the latter is narrower.

Last but not least, having the students say their grades aloud could have introduced bias into Ellery's study, which is not taken into account by the margin of error. Some of them with lesser grades will start to lie as a result.

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What will be the length of the south, west and north side of the scale drawing?

Answers

Answer:

See below

Step-by-step explanation:

North, 50

West, 28

South, 71

Answer: i got North, 50

West, 28

South, 71

but have a good day

Step-by-step explanation:

The perimeter of an isosceles trapezoid is 40 ft. The bases of the trapezoid are 11 ft and 19 ft. Find the area of the trapezoid. Hint: Think characteristics of isosceles trapezoid

Answers

The area of an isosceles trapezoid is 45 square ft.

We have to evaluate the area of trapezoid.

The perimeter of an isosceles trapezoid is 40 ft.

The bases of the trapezoid are 11 ft and 19 ft.

The perimeter of an isosceles trapezoid = a + b + c + d

a, b, c and d all are sides of an isosceles trapezoid.

a + b + c + d = 40

According to question, c = d

11 + 19 + c + c = 40

30 + 2c = 40

Subtract 30 on both side, we get

2c = 10

Divide by 2 on both side, we get

c = 5 = d

The formula of area of an isosceles trapezoid is

A = [tex]\frac{1}{2}[/tex](a+b)h, where a and b are bases and h is the height.

We can see on the diagram that we can use Pythagorean theorem to find the height.

According to theorem;

[tex]c^2=a^2+b^2[/tex]

[tex](5)^2 = h^2+(4)^2[/tex]

25 = [tex]h^2[/tex] + 16

Subtract 16 on both side, we get

[tex]h^2[/tex] = 9

Taking square root on both side, we get

h = 3

The height of an isosceles trapezoid is 3 ft.

Now, the area of an isosceles trapezoid is

A = [tex]\frac{1}{2}[/tex](11+19)×3

A = [tex]\frac{1}{2}[/tex] × 30 × 3

A = 15 × 3

A = 45 square ft

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a box contains 90 balls numbered from 1 to 90. if 8 balls are drawn with replacement, what is the probability that at least two of them have the same number?

Answers

The probability that at least two of the balls have the same number is 27.40%

What is probability?

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes

No. of ways to succeed = 90P8

No. of possible outcomes = 90^8

No. of ways to succeed =

nPr = n! / (n-r)!

90P8 = 90! / (90-8)!

90P8 = 90! / (82)!

90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!

90P8 = 90*89*88*87*86*85*84*83

90P8 = 3.13x10^15

P(no 2 have same number) = 3.13x10^15 / 90^8

P(no 2 have same number) = 0.73

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(at least 2 have same number) = 1 - 0.73

P(at least 2 have same number) = 0.2740 = 27.40%

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to write and solve each inequality.
and
9. Seven more than the quotient of a number b
and 45 is greater than 5..
+15
45
5
Multimedia
E
45

Answers

An algebraic equation which represents this word description "Seven more than the quotient of a number b and 45 is greater than 5" is b > -90.

What is a quotient?

In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

In order to translate this word problem into algebraic equation, we would assign a variable to the unknown number and then translate the word problem into algebraic equation as follows:

Let the variable b represent the unknown number.

Translating the word problem into an algebraic equation, we have the following;

7 + b/45 > 5

By collecting like terms, we have the following:

b/45 > 5 - 7

b/45 > -2

By cross-multiplying, we have the following:

b > -2 × 45

b > -90

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a smaller square of side length feet is cut out of a square board. what is the approximate area (shaded region) of the remaining board in square feet?

Answers

If a smaller square of side length 17 feet is cut out of a square board , then the approximate area of remaining board in square feet is x² - 289 square feet  .

le the side length of the big square board be = "x" ft ;

the side length of smaller square is = 17 ft ;

So , the area of the smaller square is = (side length) × (side length)

= 17 × 17

= 289 ft² .

and , the area of the larger square is = (x) × (x) ;

= x²  .

So , the approximate area of the remaining board is calculated as :

= x² - 289  ;

Therefore , area of remaining board is "x² - 289" .

The given question is incomplete , the complete question is

A smaller square of side length 17 feet is cut out of a square board. What is the approximate area of the remaining board in square feet ?

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Ella went on a walk that was 12/5 miles long. She
stopped to have lunch when she had walked 15/16 of
the way.
How far, in miles, did Ella walk before lunch?
Give your answer as a fraction in its simplest form.

Answers

Answer:

12/5 = 2.4 miles

2.4 x (15/16) = 2.25 miles.

2.25, or 9/4 miles

Timmy buys four T-shirts costing t dollars. For buying four T-shirts he gets a 25% discount on each T-shirt. Write two expressions to represent the cost of the four T-shirts

Answers

Expression 1: 4t - (4t x 0.25) = 4t - (t) = 3t

Expression 2: 4 x (t - (t x 0.25)) = 4 x (t x 0.75) = 3t

where 't' is the cost of one T-shirt.

In expression 1, the original cost of the four T-shirts (4t) is multiplied by 25% (0.25) which is the given discount percent, and then subtracted from the original cost.

In expression 2, the original cost of one T-shirt (t) is multiplied by 25% (0.25) and subtracted from the original cost, and then the resulting cost (t x 0.75) is multiplied by four to represent the cost of four T-shirts.

Both expressions represent the cost of the four T-shirts after a 25% discount has been applied. they both yield the same result of 3t, which represents the final cost of the four T-shirts after the discount has been applied.

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What are given?Php 45.50 - cot of 1 kilo of mango Php 35.00 - cot of a pineapple Php 19.50 -change Php100.00-Amount given to the fruit vendor with olution

Answers

It is right to receive a change of 19.50 if Juan gave php 100.00 to the fruit vendor

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Mango = 45.50Pineapple = 35.00Amount given = 100

Calculating how many Juan spend we have:

Total cost = mango + pineapple

Total cost = 45.50 + 35.00

Total cost = 80.5

Calculating how much Juan should receive in change:

Change = Amount given - Total cost

Change = 100 - 80.5

Change = 19.5

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Correctly written question:

Juan bought a kilo of mango at 45.50 and pineapple at 35.00 is it right to receive a change of 19.50 if he gave php 100.00 to the fruit vendor?

A student is standing, with her arms outstretched, on a platform that is rotating at 1.6 rev/s. She pulls her arms in and the platform now rotates at 2.2 rev/s. Her original moment of inertia (I0) is 25 kg m2.
What is her final moment of inertia (If)?

Answers

The student's final moment of inertia is 18.18 kgm².

What is moment of inertia?

The moment of inertia of an objecr is the property of an object which shows its ability to rotate.

How to find the final moment of inertia?

Since a student is standing with her arms outstretched, on a platform that is rotating at 1.6 rev/s. She pulls her arms in and the platform now rotates at 2.2 rev/s. Her original moment of inertia (I0) is 25 kgm². To find the r final moment of inertia, we use the law of conservation of angular momentum.

What is the law of conservation of angular momentum?

The law of conservation of angular momentum states that for any rotation, angular momnetum is constant.

So, Iω = constant where

I = moment of inertia and ω = angular speed.

So, Iω = I'ω' where

I = initial moment of inertia of student = 25kgm²ω = initial angular speed of student = 1.6 rev/s I' = final moment of inertia of student ω' = final angular speed of student = 2.2 rev/s

Making I' subject of the formula, we have that

I' = Iω/ω'

So, substituting the values of the variables into the equation, we have that

I' = Iω/ω'

I' = 25 kgm² × 1.6 rev/s ÷ 2.2 rev/s

= 40 kgm²rev/s ÷ 2.2 rev/s

= 18.18 kgm²

So, the final moment of inertia is 18.18 kgm².

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Popcorn sales at a Saturday afternoon matinee were 108% of the sales at the 8:00 showing of the movie. Calvin expressed 108% as 10.8. is Calvin correct? Explain.

Answers

Calvin representation of 108% as 10.8 is incorrect

How to determine if the statement is correct

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

Percentage increase = 108%

Express the percentage as a fraction

So, we have the following representation

Percentage increase = 108/100

Evaluate the quotient

This gives

Percentage increase = 1.08

Hence, the expression is 1.08 and Calvin is wrong

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Dax is buying coffee for 5 people in his office. He also leaves a $2:00 tip for the batista.
If his total,with tip,is $18.25 how much is each cup of coffee, not including the tip?
Enter your answers as a decimal like this:42.53

Answers

The cost of each cup of coffee, not including the tip, is $3.25.

What is division?

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given:

Dax is buying coffee for 5 people in his office.

He also leaves a $2.00 tip for the Batista.

If his total, with tip, is $18.25,

then the total bill of the coffee,

= $18.25 - $2.00 (not including the tip)

= $16.25

The cost of one coffee is,

= $16.25 / 5

= $3.25.

Therefore, $3.25 is the cost of one coffee.

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3. Find the area of the circle below.
Help the circle is 3

Answers

Answer:

28.26 [tex]in^{2}[/tex]

Step-by-step explanation:

a = [tex]\pi r^{2}[/tex]

a = 3.14([tex]3^{2}[/tex])

a = 3.14(9)

a = 28.26

Does someone mind helping me with problem? Thank you!

Answers

The number of people that attended the school play is given as follows:

Adults: 325.Students: 612.

How to model the situation?

The situation is modeled by a system of equations, for which the variables are given as follows:

Variable a: number of adults.Variable s: number of students.

There was a total of 937 people, hence:

a + s = 937.

s = 937 - a.

The total sales were of $1,109, hence:

2a + 0.75s = 1109.

Replacing s = 937 - a in the second equation, the number of adults is obtained as follows:

2a + 0.75(937 - a) = 1109

1.25a = 406.25

a = 406.25/1.25

a = 325.

Then the number of students is obtained as follows:

s = 937 - a

s = 937 - 325

s = 612.

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−n + (−3) + 3n + 5
please help its due tmrw

Answers

2n + 2 is the answer

4x(5x+3)
Find the product

Answers

Answer:

[tex]20x^{2} + 12x[/tex]

Step-by-step explanation:

We can expand this equation:

(4x * 5x) + (4x * 3)

= [tex]20x^{2} + 12x[/tex]

If simplified/factored further, we can take out the common variable, x, as well as 4, which is a common number shared between 20 and 12:

4x(5x + 3)

Need help please !!

Ian often takes his dog to the park. He estimates that 30% of the other dogs he sees are retrievers, 20% are terriers,and 20% are German shepherds. He designs a simulation.


Let 0,1, and 2 represent retrievers.

Let 3 and 4 represent terriers.

Let 5 and 6 represent German shepherds.

Let 7,8, and 9 represent other dogs.

The table shows the simulation results

Answers

The probability that at least one of the next five dogs he sees is a German shepherd is 0.75.

We have from the question.

0,1, and 2: retrievers

3 and 4: terriers

5 and 6: German shepherds

7,8 and 9: other dogs

In these results, 5 and 6 represent a german shepherd "at least one of the next five dogs he sees is a German shepherd." this means that at least one of the five numbers is 5 or 6.

There are a total of 20 results among them; 12 results include at least one 5 or 6.

∴P = 12/20 = 0.75

Hence, the correct option is B.

--The given question is incomplete; the complete question is

"Ian often takes his dog to the park. He estimates that 30% of the other dogs he sees are retrievers, 20% are terriers, and 20% are German shepherds. He designs a simulation.  Let 0,1 and 2 represent retrievers. Let 3 and 4 represent terriers. Let 5 and 6 represent German shepherds. Let 7,8, and 9 represent other dogs. The table shows the simulation results. According to this simulation, what is the probability that at least one of the next five dogs he sees is a German shepherd?

A. 0.70

B. 0.75

C. 0.65

D. 0.60"--

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How do I find the median of this trapezoid?

Answers

The median of the trapezoids is given by QR = 23.5 and VW = 15.2

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the first trapezoid be represented as A

Let the second trapezoid be represented as B

Now , the median of the trapezoid M = ( 1/2 ) ( sum of longer base and shorter base )

Substituting the values in the equation , we get

a)

The length of longer base = 35.6

The length of shorter base = 11.4

So , the median of A is QR = ( 1/2 ) ( 35.6 + 11.4 )

On simplifying the equation , we get

The median of trapezoid QR = ( 1/2 ) 47

The median of trapezoid QR = 23.5

b)

The length of longer base = 19.1

The length of shorter base = 11.3

So , the median of B is VW = ( 1/2 ) ( 19.1 + 11.3 )

On simplifying the equation , we get

The median of trapezoid VW = ( 1/2 ) 30.4

The median of trapezoid VW = 15.2

Hence , the median of trapezoid is solved

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What is the slope of the line shown in the graph?
Someone please help me :/

Answers

Answer: It's the third down. (-1/-2) - PLEASE TAKE THIS WITH A GRAIN OF SALT. I'm not very good at this type of math.

Step-by-step explanation:

Please help me out on my homework

Answers

Answer: No Solution is the answer

Step-by-step explanation:

Have a photo attached with the work

i need help please i have been stuck on this problem for 2 months

Answers

Answer:

$8

Step-by-step explanation:

URGENT!!

Which of the 3 graphs to the left best models the path
of a firework given it didn't explode?
Note: The path may be going in a different direction,
perhaps reflected or translated vertically or horizontally
while maintaining the same shape.
Linear
Quadratic
Exponential

Explain your thinking.

Answers

The path may be Quadratic in nature.

What is a graph?

The path of a firework is modeled by a quadratic function. The firework ascends from point of launch with decreasing speed (negative acceleration due to gravity) until it reaches its maximum height and then starts dropping back to the ground at increasing speeds due to positive acceleration exerted by the force of gravity.

The flight path of the parabola can thus be modeled by height as a function of elapsed time

h = f(t) where f(t) is a quadratic equation in t with the general form being

a · t² +b · t  + c

We can easily eliminate the linear model since that implies the firework will ascend at a constant speed forever

The exponential model indicates that at the moment of launch the speed of the firework is constant and then it suddenly accelerates. However, we know from observation that the firework has the highest speed at the moment of launch

Do not be confused by the shape of the graph - it seems to indicate the firework shoots down and up.

Note: The path may be going in a different direction, perhaps reflected or translated vertically or horizontally while maintaining the same shape.

Indeed the actual path of the firework is a reflection of the graph about the x-axis. so that it is a downward-facing parabola. The vertex of the parabola is the highest y-value which is the maximum height the firework would reach.

The height would be the y-axis and the time t the x-axis.

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how do i get my w2 from walgreens if i no longer work there

Answers

Send your request via email on the company mail, include your name, employee ID number, and the W2 you are asking for the particular year.

For more than a century, Walgreens has operated on the same set of values: Honesty, Trust, and Integrity with Our Customers, Our Shareholders, Our Suppliers, The Communities We Serve, and Among Ourselves.

Quality via dependable and consistent advice, goods, and services at all points of contact and through all channels.

kind, sensitive, and motivated to provide excellent service and a positive patient and customer experience in order to achieve healthy outcomes.

via service, knowledge, and the personal engagement of each member of the Walgreen team, a strong commitment to and presence in the community.

All products under the Walgreens brand come with a 100% satisfaction guarantee! Return the unused amount if you're not entirely happy, and we'll refund the entire purchase price.

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the time t needed to paint a fence varies directly as the length L and inversely as the number of workers w if it takes 10 hours to paint 400 feet of fence with six workers how long it will take for 10 workers to paint 1000 ft fence

Answers

Using the direct and inverse variations, the time taken by 10 workers to paint a fence of 1000 ft is 15 hours.

What is proportionality constant?

The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided values determine the proportionality constant's value.

Given that the time t needed to paint a fence varies directly as the length L and inversely as the number of workers w.

This is represented as follows:

t = k(l/p)

Where, k is the proportionality constant.

Given that, it takes 10 hours to paint 400 feet of fence with six workers.

Substitute the value of t = 10, l = 400 and w = 6 in the equation we have:

10 = k (400 / 6)

10 = k (66.66)

k = 10 / 66.66

k = 0.15

Now, for or 10 workers to paint 1000 ft fence, take l = 1000, w = 10, and k - 0.15:

t = (0.15) (1000 / 10

t = (0.15) (100)

t = 15

Hence, the time taken by 10 workers to paint a fence of 1000 ft is 15 hours.

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PLEASE HELP 100 POINTS!!



A line has a slope of 0 and a y-intercept of –5/3. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

the answer is 0= -5/3x + c

Answer: non

as a wordf 2 b geven

Create a proportion for each set of similar triangles, that can be used to find the missing side lengths indicated. Then solve the proportion.

Answers

Using the created proportion for each set of similar triangles, the missing side lengths are 3√29 units and 24 units respectively

How to create a proportion for a set of similar triangles?

Similar triangles are triangles that have the same shape, but not necessarily the same size. Two triangles are similar if and only if they have the same shape, meaning they have the same angle measures.

For the 1st triangles, we can write the proportion as follows:

proportion = (√29)/5

(√29)/5 = x/15

x = 15 × (√29)/5

x = 3√29 units

Thus, the missing side length is 3√29 units

For the 2nd triangles, we can write the proportion as follows:

proportion = 12/13

12/13 = x/26

x = 26 × (12/13)

x = 24 units

Thus, the missing side length is 24units

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I just don't understand any of this because I'm dyslexic.

Answers

Answer:

HI = 9

Step-by-step explanation:

      HJ = HI + IJ

2x + 10 = x + 9 + 1

 2x - x = 10 - 10

      ∴ x = 0

∴ HI = x + 9

       = 0 + 9

       = 9

If you work 32 hours cleaning, how many hours do you need to work babysitting to get $420 for the week?

Answers

13 I’m sure of it.
I’m sorry if I get it wrong
Other Questions
Which one of the following is an example of a negative feedback loop in humans?A.Salivation of mouth at the sight of delicious foodB.Constriction of skin blood vessels and contraction of skeletal muscles when it is too coldC.Secretion of sweat glands and constriction of skin blood vessels when it is too hotD.Secretion of tears after falling of sand particles into the eye AlCl has a van't Hoff factor of i = 3.20. What is the concentration of particles in a 0.651 M solution of AlCl? The Renaissance also gave rise to a vogue for ______, which laid more social and intellectual groundwork for the scientific revolution. if i have 8 dna nucleotides, how many base pairs do i have? Select 3 of the Trends affecting marketing communications covered in the session and explain them by giving contemporary examples from brands, sectors, or product categories.1 page, word/pdf format 1. Emphasis on accountability, measurable results2. Mobile marketing3. Integration of media platforms which would the nurse expect to see when reviewing the results of a complete blood count | for an infant with tetralogy of fallot? Drag numbers to complete a function in terms of x and y for the line that contains the points (2, 4) and (6, 16). Numbers may be used once, more than once, or not at all. 12346 y = x Which question might help reader gauge the tone of a piece of writing?OA. What setting has the author chosen?B. How formal does the writing seem?C. Which event happens first in the story?D. Who is most affected by the conflict?SUBMIT What is the right answer? 7/10c=4 1/5 Solve for C Which statements about rainbows are true? Choose more than one answer. a defendant was charged with possession of cocaine. at the defendant's trial, the prosecution established that, when approached by police on a suburban residential street corner, the defendant dropped a plastic bag and ran, and that when the police returned to the corner a few minutes later after catching the defendant, they found a plastic bag containing white powder. the defendant objects to introduction of this bag (the contents of which would later be established to be cocaine), citing lack of adequate identification. Give me 25 word to describe work conditions in the factory based on the testimony in Industrial Revolution Write sentences using the present progressive with the information provided. follow the model. presentation modelo mis amigos / descansar en la playa mis amigos estn descansando en la playa. many popular myths, such as the idea that sleepwalkers are acting out their dreams, have been debunked using: if net income is $2,700 and owner withdrawals are $9,600, how much did the owner contribute (owner, capital)? sarah consomes a diet with 2300 total kcalories that is 50% carbohydrate. how many grams of carbohydrate does she consume? the nurse is documenting the findings from the health assessment. which example of data documentation reflects the opinion of the nurse? Ongoing research conducted by the Standish Group shows that_________% of very large multimillion dollar software projects fail or are challenged , Select one: a. 47 b. 78 c. 94 d. 23 why did the u.s. forces launch an island-hopping campaign?