Find the slope of the line represented in the table.
x

Find The Slope Of The Line Represented In The Table.x

Answers

Answer 1

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

Find The Slope Of The Line Represented In The Table.x

Related Questions

Please help me answer this question ASAP!! It’s due tomorrow! Will mark as brainliest if explained very simply and correct.

Answers

Answer:

The answer is B:14

Step-by-step explanation:

When you simply multiply 5% by 14, you get 0.7. So you know that 5% of 14 is 7.

10. Kipp constructed a pentagonal pyramid for his social studies report. The base had an area of 12 cm². It took 48 cubic centimeters of clay to make his model. Find the height of the pyramid.

Answers

We can use the formula for the volume of a pentagonal pyramid to solve this problem:

Volume = (1/3) × Base Area × Height

We know that the base area is 12 cm² and the volume is 48 cubic centimeters. We can substitute these values into the formula and solve for the height:

48 = (1/3) × 12 × Height

Multiplying both sides by 3 gives:

144 = 12 × Height

Dividing both sides by 12 gives:

Height = 12

Therefore, the height of the pentagonal pyramid is 12 centimeters.

Find the volume of a rectangular prism with a length of 12 inches a width of 4.5 inches and a height of 3.6 inches

Answers

Answer:

194.4

Step-by-step explanation:

V=l*w*h

V=12*4.5*3.6

V=194.4

The EPA fuel economy estimates for automobiles models tested recently found them to be
normally distributed with a mean of 24.8 mpg and a standard deviation of 6.2 mpg. What is
the percentile rank of an automobile that has a fuel economy of 35 mpg?
90th Percentile
O 5th Percentile
O 95th Percentile
10th Percentile

Answers

Step-by-step explanation:

(35-24.8) / 6.2  = z-score of  + 1.645  corresponding to   .9495  =

           ~ 95th percentile

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Given f(x) = x³ - 6x + k, and the remainder when f(x) is divided by x - 1 is 14, then what is the value of k?

Answers

Answer: 19

Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).

Hope this helps!

Reacting with water in an acidic solution at a particular temperature, compound A decomposes into compounds B and C according to the law of uninhibited decay. An initial amount of 0.40 M of compound A decomposes to 0.37 M in 30 minutes. How much of compound A will remain after 2 hours? How long will it take until 0.10 M of compound A remains? After 2 hours, the amount of compound A remaining will be ? M. (Do not round until the final answer. Then round to thenearest hundredth as needed.)​

Answers

The answers to all parts are shown below.

The law of uninhibited decay is a first-order chemical reaction, which means that the rate of the reaction is proportional to the concentration of compound A.

The rate law can be written as:

rate = k[A]

where k is the rate constant and [A] is the concentration of compound A.

From the given data, we can use the following equation to determine the rate constant:

ln([A]t/[A]0) = -kt

where [A]t is the concentration of compound A at time t, [A]0 is the initial concentration of compound A, k is the rate constant, and t is the time.

Using the given data:

[A]t = 0.37 M

[A]0 = 0.40 M

t = 30 minutes = 0.5 hours

ln(0.37/0.40) = -k(0.5)

k = 0.0486 h⁻¹

(a) How much of compound A will remain after 2 hours?

Using the same equation and substituting the known values:

ln([A]t/[A]0) = -kt

ln([A]t/0.40) = -0.0486 x 2

[A]t/0.40 = e⁻(⁹⁷² /¹⁰⁰⁰⁰)

[A]t = 0.25 M

Therefore, after 2 hours, 0.25 M of compound A will remain.

(b) How long will it take until 0.10 M of compound A remains?

Substituting the known values into the equation again:

ln([A]t/[A]0) = -kt

ln(0.10/0.40) = -0.0486t

t = 4.26 hours

Therefore, it will take approximately 4.26 hours until 0.10 M of compound A remains.

(c) After 2 hours, the amount of compound A remaining will be 0.25 M.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

4x = 100, so x = 25

The correct answer is C.

I have not gone to school in a month for family reasons and I have to submit 39 math assignments before Friday HELP

Answers

Diego is correct as the number of groups result to 6/5 or 1 1/5.

We have to find the number of groups of 5/6 in 1.

So, we need to perform the division as

= 1/ (5/6)

= 1 x 6/5

= 6/5

= 1 1/5

Thus, Diego is correct as the number of groups result to 6/5 or 1 1/5.

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you
cou
Recommendations
Florida's B.E.S.T. Standards: Grade 8 > GG.5 Make predictions 38C
thro
Skill plans
pieces of vanilla cake
You have prizes to reveall Go to
Passersby have taken 4 pieces of vanilla cake and 6 pieces of coconut cake from a
sample tray. Based on past data, of the next 30 samples taken, how many should you expect
to be pieces of vanilla cake?
Vid

Answers

Out of the following 30 samples, you may expect that about 12 will be portions of vanilla cake.

How to determine probability?

To solve this problem, use the concept of probability and make a prediction based on the past data.

In this case, out of the 10 pieces of cake that have been taken, 4 are vanilla and 6 are coconut.

Therefore, the probability of selecting a piece of vanilla cake from the tray is 4/10, or 2/5.

To predict how many of the next 30 samples will be pieces of vanilla cake, multiply the probability of selecting a vanilla cake by the total number of samples:

(2/5) x 30 = 12

So expect that out of the next 30 samples taken, approximately 12 of them will be pieces of vanilla cake.

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?? geometry question

Answers

The measure of angle BGF from the given parallel lines is 108°.

Given that, measure of angle BGF=4x+28 and the measure of angle EHD = 2x+32.

1) From the given figure, angle BGF and angle EHC are interior alternate angles.

Angle FHC and angle EGA are corresponding angles.

Angle FHC and angle EGA are exterior alternate angles.

2) angle BGF+angle EHD=180°

3) 4x+28+2x+32=180°

6x+60=180

6x=120

x=20

Angle BGF=4x+28=108 °

Angle EHD = 2x+32

= 112°

Angle FHD=180-112=68°

Angle EGB=180-108=72°

Therefore, the measure of angle BGF from the given parallel lines is 108°.

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A shirt manufacturer pays a worker $0.47 for each acceptable shirt inspected under the prescribed job description. If the worker had the following work record, find the gross earnings for the week: Monday, 250 shirts; Tuesday, 300 shirts; Wednesday, 178 shirts; Thursday, 326 shirts; Friday, 296 shirts

Answers




(250 shirts * 0.47) + (300 shirts * 0.47) + (178 shirts * 0.47) +
(326 shirts * 0.47) + (296 shirts * 0.47) =


$85.07


(0.47*670) = $85.07

D. 17 °F 2. Franky earns $(100+ x) daily for five days, $(175 + 2x) for two days, and $(75 + 2x) for three days. If the average amount she earns is $80 per day, what is the median amount she earned?​

Answers

The median total of amount Franky earned is A = $81.67 per day.

Given data ,

For the first five days: $(100 + x) per day

For the next two days: $(175 + 2x) per day

For the final three days: $(75 + 2x) per day

Now , the average amount she earns is $80 per day

So , Average earnings = Total earnings / Total number of days

Average earnings = [(100 + x) * 5 + (175 + 2x) * 2 + (75 + 2x) * 3] / 10

Simplifying the equation:

80 = [500 + 5x + 350 + 4x + 225 + 6x] / 10

Multiplying both sides by 10:

800 = 1075 + 15x

Subtracting 1075 from both sides:

15x = -275

Dividing both sides by 15:

x = -18.33

For the first five days: $(100 - 18.33) = $81.67 per day

For the next two days: $(175 + 2*(-18.33)) = $138.34 per day

For the final three days: $(75 + 2*(-18.33)) = $38.34 per day

Arranging the earnings in ascending order: $38.34, $38.34, $38.34, $81.67, $81.67, $81.67, $81.67, $138.34, $138.34

The median is the middle value when the earnings are arranged in ascending order. In this case, the middle value is $81.67

Hence , the median is $81.67

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you will get 10 points for each question and help

Answers

The probability is very high and the event is very likely to occur.

option B.

What is the explanation for the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

If the probability of a rolling a number greater than 1 on a six sided cube die  is 5/6, it implies that the chances of obtaining a number greater than 1 is very high.

We will convert 5/6 to percentage to see the actual value of 5/6.

5/6 x 100%

= 83.33 %

So the value of this probability is very high and the event is very likely to occur.

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Brenda types 15 words per minute. How long will it take her to type 750 words?

Answers

It will take Brenda 50 minutes to type 750 words at a rate of 15 words per minute.

To solve this problem, we can use the formula:

time = amount of work / rate

In this case, the amount of work is typing 750 words, and the rate is 15 words per minute. Substituting these values into the formula, we get:

time = 750 / 15 = 50 minutes

This calculation assumes that Brenda types at a constant rate of 15 words per minute. If her typing speed varies, the time it takes her to type 750 words may be different.

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5. In AABC, ZA = 70°, ZB = 50°, and a = 15 cm. Solve ▲ABC. ​

Answers

In triangle ABC, side BC (a) is 15 cm, side AC (b) is 13.30 cm, and side AB (c) is 12.23 cm. Also angle A is 70°, B is 50°, and C is 60°

Understanding the Angles and Sides of Triangle

Using the Law of Sines and the fact that the sum of the angles in a triangle is 180 degrees.

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. Using this, we can find the lengths of the other sides of triangle ABC.

Let's denote side AB as c, BC as a, side AC as b, and angle C as ∠C.

Using the Law of Sines, we have:

sin(∠A) / a = sin(∠B) / b

Substitute in the known values, we get:

sin(70°) / 15 = sin(50°) / b

Make b the subject of the formula:

b = (15 * sin(50°)) / sin(70°)

Using a calculator, we can find the value of b:

b = (15 * 0.766) / 0.9397

  = 12.23 cm

Therefore side AC = b = 12.23 cm

Now, to find side AB (c), we can use the Law of Sines again:

sin(∠B) / b = sin(∠C) / c

But ∠C is unknown. To find ∠C, we apply the sum of angle in a triangle rule

∠A + ∠B + ∠C = 180

70 + 50 + ∠C = 180

∠C = 180 - 70 - 50

∠C = 60°

Substitute the values in the Sine rule equation

sin(50°) / 12.233 = sin(60) / c

Make c the subject of the formula

c = (12.233 * sin(60)) / sin(50°)

c = (12.233 * sin(60°)) / sin(50°)

  = 13.30 cm

Therefore, the lengths of the sides of triangle ABC are:

Side AB = c = 12.23 cm

Side BC = a = 15 cm

Side AC = b = 13.30 cm

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Britney is a volunteer at the Westside Library. She collects the books that come down the
chute from the outside drop-off and puts them on the library shelves. Of the books that have
come down the chute so far today, 41 have been fiction and 23 have been nonfiction.
Based on the data, estimate how many of the next 100 books that come down the chute will
be nonfiction.

Answers

Based on the given data, we can estimate that approximately 36 out of the next 100 books that come down the chute will be nonfiction.

To estimate the number of nonfiction books out of the next 100, we can use the ratio of nonfiction to the total number of books that came down the chute so far today.

The total number of books that came down the chute so far is:

41 (fiction) + 23 (nonfiction) = 64

The ratio of nonfiction books to the total number of books in library is:

[tex]23/64[/tex]

To estimate the number of nonfiction books out of the next 100, we can multiply the ratio by 100:

[tex](23/64)*100=35.9375[/tex]

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Question 2 (Multiple Choice Worth 1 points)
(06.02 MC)
Simplify (3a³b-4ab² + 5ab) - (4a³b + 4ab² + 5ab).
O-a³b-8ab2 + 10ab
O-a³b-8ab²
07a³b-8ab² + 10ab

Answers

The simplified expression of (3a³b-4ab² + 5ab) - (4a³b + 4ab² + 5ab) is (b) -a³b - 8ab²

How to simplify the expression

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

(3a³b-4ab² + 5ab) - (4a³b + 4ab² + 5ab)

Open the bracket

So, we have

(3a³b-4ab² + 5ab) - (4a³b + 4ab² + 5ab) = 3a³b - 4ab² + 5ab -4a³b - 4ab² - 5ab

Evaluate the like terms

So, we have

(3a³b-4ab² + 5ab) - (4a³b + 4ab² + 5ab) = -a³b - 8ab²

Hence, the simplified expression is (b) -a³b - 8ab²

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The perimeter of a right triangle is equal to 4x + 3. If two sides of the triangle measure: x + 7 and x – 7, what is the measurement of the hypotenuse?

Answers

If two sides of the triangle measure: x + 7 and x – 7, the measurement of the hypotenuse is 2x + 3.

In a right triangle, the hypotenuse is the side opposite the right angle and it is the longest side. We can use the Pythagorean theorem to relate the sides of the right triangle:

a² + b² = c²

where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.

We are given that the perimeter of the triangle is 4x + 3. The perimeter of a triangle is the sum of the lengths of its sides, so we can write:

a + b + c = 4x + 3

Substituting the given side lengths, we get:

(x + 7) + (x - 7) + c = 4x + 3

Simplifying, we get:

2x + c = 4x + 3 - 7 + 7

2x + c = 4x + 3

Solving for c, we get:

c = 2x + 3

We did not need to use the Pythagorean theorem in this problem, as we were only asked for the measurement of the hypotenuse in terms of x.

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Can anyone help me w tvis

Answers

The number of weeks that the puppies weigh the same amount will be A. 6 weeks.

The equation that has no solution is A. 13 - 7x = -7x + 13.

The option determined from the graph is B. The ordered pair (25, 6) is a solution to y = x + 40 and y = 3x + 15.

How to calculate the number of weeks

Puppy A weighs 4 1/5 pounds at birth and gains 3/4 pound each week. Puppy B weighs 5 2/3pounds at birth and gains 1/2 pound each week.

After how many weeks will the puppies weigh the same amount will be calculated thus:

4 1/5 + 3/4x = 5 2/3 + 1/2x

4.2 + 0 75x = 5.67 + 0.5x

Collect the like terms

5.67 - 4.2 = 0.25x

Divide

x = 1.47 / 0.25

x = 6

Hence ,the number of weeks that the puppies weigh the same amount will be A. 6 weeks.

It should be noted that the equation that has no solution is A. 13 - 7x = -7x + 13. This is because the values gives 0 all through.

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How many turning points are in the graph of the polynomial function?
4 turning points
5 turning points
6 turning points
7 turning points

Answers

B 5 turning points. For example: The polynomial function y= ×^6 + 3x^5 +
4x^2 + 12 has six turning points. The degree of the polynomial is 6, which means that it has 6-1=5 turning points. These are the points where the function changes from increasing to decreasing or vice versa. In other words, these are the points where the derivative of the function equals 0. To find the exact locations of the turning points, you can set the derivative equal to 0 and solve for

Geometry problem (possible drop down answers are ellipse rectangle and circle) please help! Will give crown to first to give correct answer.

Answers

Answer:

ellipses

a pair of parallel straight

Step-by-step explanation:

radius of 18 feet and a central angle of 52° is shown below. Which of the following is the closest to the length of the arc from point C to point D?

Answers

The closest length to the arc from point C to point D is 16.34 ft (option c).

To find the length of the arc from point C to point D, we need to calculate the circumference of the circle and then find the fraction of the circumference represented by the central angle.

The circumference of a circle can be calculated using the formula:

Circumference = 2 × π × radius

Given the radius of 18 feet, the circumference is:

Circumference = 2 × π × 18 = 36π feet

To find the length of the arc, we need to find the fraction of the circumference represented by the central angle of 52°. The fraction is calculated by dividing the central angle by 360° and then multiplying it by the circumference.

Length of the arc = (Central angle / 360°) * Circumference

Length of the arc = (52° / 360°) × 36π

Length of the arc = (13/90) × 36π

Length of the arc = 468π / 90

Length of the arc ≈ 16.41 ft

Among the given options, the closest length to the arc from point C to point D is 16.34 ft (option c).

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Simplify (3xy³ + 8x²y - 3xy) + (7xy³ - 9x²y + 6xy).
O4xy³ - x²y - 3xy
O4xy³ - x²y + 3xy
O 10xy³ + x²y - 3xy
O 10xy³x²y + 3xy

Answers

Answer: 10xy³ - x²y + 3xy

Step-by-step explanation:

To simplify the expression (3xy³ + 8x²y - 3xy) + (7xy³ - 9x²y + 6xy), we can combine like terms.

Adding the corresponding terms together, we have:

3xy³ + 7xy³ = 10xy³

8x²y - 9x²y = -x²y

-3xy + 6xy = 3xy

Combining these terms, the simplified expression becomes:

10xy³ - x²y + 3xy

Therefore, the correct option is:

O 10xy³ - x²y + 3xy

Can someone answer this question

Answers

The options 2nd and 3rd are the monomials with degree 2.

Given are the expressions we need to find the monomials with degree 2.

So,

The general form of a monomial with degree 2 is:

ax²

The highest exponent of a polynomial's variable(s) in any of its terms is referred to as the polynomial's degree in mathematics.

It controls the polynomial's behavior and complexity.

A non-negative integer is used to represent the degree.

And,

A monomial is a mathematical expression consisting of a single term. It is composed of a coefficient multiplied by one or more variables raised to non-negative integer exponents.

Here, the monomials can be 2x² and x²

Hence the options 2nd and 3rd are the monomials with degree 2.

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Find the surface area of the prism. Round to the nearest tenth if necessary.

Regular pentagon base

B≈61.94 cm2

Base length=6cm
Lateral edge=5cm
A regular pentagonal prism is shown. The length of the side of the pentagon is six centimeters. The height of the prism is five centimeters.

Answers

The surface area of the prism is 248.88 cm²

What is surface area of prism?

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a prism is expressed as;

SA = 2B + ph

where h is the height of the prism, B is the base area of the prism and P is the perimeter of the base.

Base area = 61.94 cm²

height = 5cm

perimeter = 5 × 5 = 25cm

SA = 2 × 61.94 + 25 × 5

SA = 123.88+ 125

SA = 248.88 cm²

Therefore the surface area of the prism is 258.88 cm²

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Which animal swims at a top speed of about 0.33 mile per minute? Explain how you found your answer

Answers

The animal that swims at a top speed of 0. 33 miles per minute would be the Dolphin .

How to find the animal ?

To find the animal that swims at a top speed of 0. 33 miles per minute, you need to convert their top speeds in miles per hour to miles per minute.

For every 1 mile per hour, the equivalent in minutes is 0.0166667 miles per minute.

Speed of Swordfish is:

= 60 mph x 0.0166667

= 1 mile per minute

Speed of Tuna :

= 45 mph x 0.0166667

= 0. 75 miles per minute

Dolphin :

= 20 mph x 0.0166667

= 0. 33 miles a minute

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From a point X, the bearing of a flag pole is 280⁰, from another point Y due south of X the bearing of the flag pole is 330⁰ . if the angle of elevation of the top of the flag pole from Y is 60⁰ and the distance (X,Y) is 92km . Calculate how far Y is from the flag pole​

Answers

Answer: 37km

Step-by-step explanation:

Please help me with this statistics question. Photo attached

Answers

a) The data in the above table about the statistics class asked the city where they live are b) Quantitative and Discrete.

b) The completion of the frequency distribution for the data is as follows:

Class            Frequency

Fort Pierce          7

Port St. Lucie      6

Vero Beach        7

Sebastian           4

Okeechobee     6

Total                 30

c) The completion of relative frequency and percentage distribution for the data is as follows:

Class            Frequency    Relative Frequency    Percentage

Fort Pierce          7                       0.233                     23.3%

Port St. Lucie      6                      0.200                     20.0%

Vero Beach        7                       0.233                     23.3%

Sebastian           4                        0.133                      13.3%

Okeechobee     6                       0.200                    20.0%

Total                 30

How the relative frequencies and percentages are computed:

Class            Frequency    Relative Frequency        Percentage

Fort Pierce          7                 0.233 (7/30)           23.33% (7/30 x100)  

Port St. Lucie      6                0.200 (6/30)           20.00% (6/30 x100)  

Vero Beach        7                 0.233 (7/30)           23.33% (7/30 x100)  

Sebastian           4                  0.133 (4/30)            13.33% (4/30 x100)  

Okeechobee     6                 0.200 (6/30)           20.00% (6/30 x100)  

Total                 30

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Answer Options for a):

a) Time-Series

b) Quantitative and Discrete

c) Cross-Sectional Qualitative

d) Quantitative and Continuous

Brendon finished an obstacle course in 22.5 minutes. Tobias finished the course 85 seconds after Brendon. How long did it take Tobias to finish?

Answers

Answer:

23.35 minutes

Step-by-step explanation:

Brendan finished in 22.5 minutes. Tobias finished 85 seconds after. Just add 85 seconds to 22.5 minutes. There are 100 second in 1 minute. Since Brendan is already at 22.5, there is only 0.5 left to get to 23. 0.5 in this case means 50 seconds. You do 85 - 50 = 35. Now, you are at 23 minutes. Add 35 seconds to that to get to 23.25 minutes.

Other Questions
A drug, Nimodipine, holds considerable promise of providing relief for those people suffering from migraine headaches who have not responded to other drugs. Clinical trials have shown that 90% of the patients with severe migraines experience relief from their pain without suffering allergic reactions or side effects. Suppose 15 migraine patients try Nimodipine.a. What is the probability that all 15 experience relief? Use probability formula.b. What is the probability that at least 10 experience relief?c. What is the probability that at most 7 experience relief?d. What is the average and the s. of the number of patients who experience relief?e. What is the probability that none of them experience relief? why do employees experience a loss of status in their home environment upon repatriation? an ambulance is traveling north at 46.1 m/s, approaching a car that is also traveling north at 36.2 m/s. the ambulance driver hears his siren at a freq What is the common difference/ratio for this sequence 1/6, 1/12, 1/2, 2 Warren Corporation is interested in a three-year, 11% annual coupon bond. A broker quotes a price of $930.35. What is the yield to Maturity? 13% 14% o 10% 011% 12% Check my work value: 113 points Current Yield is the bond's annual coupon divided by its yield to maturity O True O False What section of an opera is used here to set the mood? (Purcell - Dido's Lament) TRUE/FALSE. Multipreneurs are businesspeople who have tried a succession of entrepreneurial start-ups without finding an area in which they could be successful. the special cost structure that is necessary for a firm to adopt a peak-load pricing policy is? Nagpur mandarin is propagated by which plant propagation technique? Simple Array rotationWrite a function that receives two parameters - a StaticArray and an integer value (called steps). The function will create and return a new StaticArray, where all of the elements are from the original array but their position has shifted right or left steps number of times. The original array must not be modified. If steps is a positive integer, the elements will be rotated to the right. Otherwise, rotation is to the left. Please see the code examples below for additional details. You may assume that the input array will have at least one element. You do not need to check for this condition. Please note that the value of the steps parameter can be very large (from -109to 109). Your implementation must be able to rotate an array of at least 1,000,000 elements in a reasonable amount of time (under a minute).NOTE: can not use any prebuilt things that are part of python, and must use a rudimentary array classExample #1:source = [_ for _ in range(-20, 20, 7)]arr = StaticArray(len(source))for i, value in enumerate(source):arr.set(i, value)print(arr)for steps in [1, 2, 0, -1, -2, 28, -100, 2**28, -2**31]:print(rotate(arr, steps), steps)print(arr)Output:STAT_ARR Size: 6 [-20, -13, -6, 1, 8, 15]STAT_ARR Size: 6 [15, -20, -13, -6, 1, 8] 1STAT_ARR Size: 6 [8, 15, -20, -13, -6, 1] 2STAT_ARR Size: 6 [-20, -13, -6, 1, 8, 15] 0STAT_ARR Size: 6 [-13, -6, 1, 8, 15, -20] -1STAT_ARR Size: 6 [-6, 1, 8, 15, -20, -13] -2STAT_ARR Size: 6 [-6, 1, 8, 15, -20, -13] 28STAT_ARR Size: 6 [8, 15, -20, -13, -6, 1] -100STAT_ARR Size: 6 [-6, 1, 8, 15, -20, -13] 268435456STAT_ARR Size: 6 [-6, 1, 8, 15, -20, -13] -2147483648STAT_ARR Size: 6 [-20, -13, -6, 1, 8, 15] compared with. middle age, which of the following best describes late middle age for many individuals Economic value added (EVA) indicates a project's contribution to corporateA. Capital loss B. Book value in year t-1 O C. CFBT D. Net profit after taxes A closed stationary system undergoes a process where 55 kJ of work are added to the system and 37 of heat are lost by the system. Calculate the change in the system's internal energy. while hettinger attempts to defend reverse discrimination, he does claim that it is morally permissible, and even expected, in some cases. group of answer choices true false why do people move from rural areas to urban area alana and michael want to build a 5,000-square-foot ranch home on two acres of land they just bought. once the house is built, how many acres of land will remain unbuilt? What type of theorist is most likely to assess people's personalities by having them draw pictures, in the hope that the drawings will reveal underlying personality characteristics?A PsychoanalyticB BehavioralC HumanisticD CognitiveE Social cognitive Analyzing Interest Rates The Federal Reserve has control over the nations monetary policy. Through adjusting the required reserve ratio, buying and selling government bonds on the open market, or adjusting the discount rate, the Fed can influence interest rates and the money supply in the country. When we talk about interest rates, its important to distinguish between long-term and Short-term interest rates. Short-term interest rates are directly affected when the Fed changes its federal funds and discount rates and are for loans made for short periods. long-term interest rates are set by market forces. Lower long-term interest rates encourage investment by businesses and consumers because the cost of paying back the money over a long period is low. Keep this distinction in mind while you complete the following activity. Dan is the only seller of widgets in town. The market for widgets is characterized by the following: Demand: P = 175-Q Marginal Revenue: MR = 175 - 20 Marginal Cost: MC = 25 +3Q What is the deadweight loss associated with this monopoly? 225 115 88.5 112.5 develop a linear regression forecast model for the data above. what would be the forecast occupancy rate (rounded to the nearest whole percent) be if the blue sox win 88 games?