Find the probability P(not E) if P(E)=0.39.
The probability P(not E) is _______ (Simplify your answer.)

Answers

Answer 1

The probability that the event E does not happen is:

P(not E) = 0.61

How to find the probability?

First, remember that for any experiment with N outcomes, the sum of the N probabilities for these outcomes must be 1.

Then if we have two outcomes, E happens or E does not happen, we have:

P(E) + P(not E) = 1

Replace the value that we know:

0.39 + p(not E) = 1

Solve for the probability we want:

P(not E) = 1 - 0.39

P(not E) = 0.61

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Related Questions

Complete the statement: 63mi/h = ? mi/sec

Complete the statement: 63mi/h = ? mi/sec

Answers

Answer:

63mi/h = 0.0175 mi/sec , hope this helps you

four percent of the customers of a mortgage company default on their payments. a sample of 20 customers is selected. what is the probability that exactly two customers in the sample will default on their payments?

Answers

Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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Please help me is a math problem i will hand brainly !!! image is attached below

Please help me is a math problem i will hand brainly !!! image is attached below

Answers

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles that are opposite of each other when two lines cross

The relationship between angle 5 and angle 2 is they are vertical angles. Option E is correct.

Given that,
A figure containing a pair of parallel lines and m and n a transversal line, t is an interesting pair of parallel lines.
A relationship between ∠2 and ∠5 is to be determined.

What is the angle?

The angle can be defined as the one line inclined over another line.

Since m and n are parallel lines and t is intersecting line, t makes angles ∠2 and ∠5 face each other on two different lines and are vertically positioned. since ∠2 is obtuse and ∠5 is an acute angle, thus both angles are not equal but vertical angles.

Thus , the relationship between angle 5 and angle 2 is they are vertical angles.

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From midnight to 2:00 am, the temperature dropped 1.4 °c each hour. If the temperature at 2:00am was 11.2 °c, what was the temperature at midnight

Answers

The temperature at midnight as required to ve determined in the task content is; 14°C.

What is the temperature at midnight as required to be determined from the given information.

According to the task content; the temperature was 11.2°C at 2 : 00am.

However, since the temperature dropped 1.4 °c each hour; we have that;

In the two hours between midnight and 2:00am, the total temperature drop is; 2 × 1.4°C = 2.8°C.

On this note, the temperature at midnight can be evaluated as; 11.2°C + 2.8°C = 14°C.

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Match each step for creating a personal commercial with its description.
A. Step one
B.
Step two
C. Step three
D. Step four
E. Step five

Answers

To create a personal commercial.

Step one:  Establish exactly what you are seeking and your targeted audience.

Sep two: Create your introduction, adding your motivations for your career direction.

Step two: Summarize your education, soft skills, hard skills, and experience.

Step four: Write your elevator speech.

Step five: Review and practice your speech.

What is a personal commercial?

A personal commercial or an elevator speech is a brief introduction of usually less than 60 seconds to a potential employer, or important professional contact.

It is used to introduce oneself to a potential employer at a job fair, an interview, or when you are asked to talk about yourself professionally.

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Evaluate the integral: S1 0 (-x³ - 2x² - x + 3)dx

Answers

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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Can someone help me giving me the answers,
Please

Can someone help me giving me the answers,Please

Answers

The location where a graph crosses the y-axis is known as the y-intercept.The y-intercept is -2.

Find the solution ?

The location where a graph crosses the y-axis is known as the y-intercept.

It is, in other words, the value of y at x=0.

A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.

We find it easier to graph linear equations when we consider intercepts.

This is written in slope-intercept form; y = mx + b

m = slope

b = y-intercept

In the equation we are given;

m = -3

b = -2

Therefore, the y-intercept is -2

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What is the value of \(\frac{81^4}{3^5}\)? (Express your answer in exponential form.)

Answers

Answer:\(3^1^1\\\)

Step-by-step explanation:

\(\frac{81^4}{3^5}\)

\(\frac{3^1^6}{3^5}\)

The base is same power can be add or subtract

\(3^1^6^-^5\)

\(3^1^1\)

Han wants to build a dog house. He makes a list of the materials needed:

At least 60 square feet of plywood for the surfaces

At least 36 feet of wood planks for the frame of the dog house 

Between 1 and 2 quarts of paint

Han's budget is $65. Plywood costs $0.70 per square foot, planks of wood cost $0.10 per foot, and paint costs $8 per quart.
write inequalities to represent the material constraints and cost constraints in this situation. ​

Answers

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Inequality to represent cost constraints is 0.70p + 0.10pw + 8pa ≤ 65

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

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What is a confidence interval? Choose the best description.
A range of probabilities, constructed with a sample, that describes where a population parameter will occur.
A range of values, created using a sample, within a population parameter that has a certain probability of occurring.
A range of values used to estimate where the sample statistic is likely to occur

Answers

Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

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eggsactlyyyyyyyyyyyy

eggsactlyyyyyyyyyyyy

Answers

Answer:

goooooooooood one!?‍♀️

What is a equivalent ratios
For 7:12

Answers

Answer:

An equivalent ratio can be 14:24.

Select the correct answer.
Simplify the expression.
3x 3 648x4,8
A. 922 3/2203/2
B. 18ху? w/32372
C. 18222 13x3
D. 1822,2 3/220232

Select the correct answer.Simplify the expression.3x 3 648x4,8A. 922 3/2203/2B. 18? w/32372C. 18222 13x3D.

Answers

Answer:

The correct option is

C. \(18x^2y^2\sqrt[3]{3xy^2}\\\)

Step-by-step explanation:

We have the expression,

\(3x\sqrt[3]{648x^4y^8}\)

Simplifying,

\(3x\sqrt[3]{648x^4y^8}\\3x\sqrt[3]{648x^3xy^6y^2}\\3x\sqrt[3]{648(x)^3x(y^2)^3y^2}\\\)

Taking out x and y^2,

\(3xxy^2\sqrt[3]{648xy^2}\\3x^2y^2\sqrt[3]{(2)(2)(2)(3)(3)(3)(3)xy^2}\\3x^2y^2\sqrt[3]{(2)^3(3)^3(3)xy^2}\\\\(3)(2)(3)x^2y^2\sqrt[3]{(3)xy^2}\\18x^2y^2\sqrt[3]{3xy^2}\\\)

Hence the correct option is C

Question 1 (2 points) Expand and simplify the following as a mixed radical form. (√5 + 1) (2-√3)

Answers

The given expression, (√5 + 1)(2 - √3) is equal to 2√5 - √15 - √3 + 2.

Given √5+1 as a mixed radical form, we get,(√5+1) = (√5+1)

Now, (√5+1)(2-√3) can be expanded

using the distributive property of multiplication.

                       √5(2) + √5(-√3) + 1(2) + 1(-√3)

                              = 2√5 - √15 + 2 - √3

Thus, the answer is 2√5 - √15 - √3 + 2 in a mixed radical form.

We can use the distributive property of multiplication to simplify the given expression.

                     (√5 + 1)(2 - √3)= √5(2) + √5(-√3) + 1(2) + 1(-√3)

                                                 = 2√5 - √15 + 2 - √3

Therefore, the given expression, (√5 + 1)(2 - √3) is equal to 2√5 - √15 - √3 + 2.

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Easy points for those who are good at math!

Easy points for those who are good at math!

Answers

Answer:

The answer is A) y = -7x - 7.

Step-by-step explanation:

First, you need to subtract '7x' from both sides, and once that is done, the equation is in slope-intercept form because it is in y=mx+b form. I'll attach a photo below that explains my process! :) And another possible answer would be y = 7x + 7, but that is not an option listed above.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Easy points for those who are good at math!

help pls ? find the UP

help pls ? find the UP

Answers

Answer:

UP=78

Step-by-step explanation:

TP=TU+UP

103=2x+3+6x+12

103=8x+15

103-15=8x

8x=88

x=11

UP=6x+12

UP=6(11)+12

UP=66+12

UP=78

Answer:

UP = 78

Step-by-step explanation:

TU + UP = TP, substitute values

2x + 3 + 6x + 12 = 103, that is

8x + 15 = 103 ( subtract 15 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

Thus

UP = 6x + 12 = 6(11) + 12 = 66 + 12 = 78

What is a quadratic function (f) whose zeros are -2 and 11

Answers

\(\begin{cases} x = -2 &\implies x +2=0\\ x = 11 &\implies x -11=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +2 )( x -11 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{now, assuming that}}{a=1}\hspace{3em}1( x +2 )( x -11 ) =y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^2-9x-22=f(x) \end{array}} ~\hfill\)

1. simplify the expression: 5(a + b) – 2b

Answers

Answer:

5a + 3b

Step-by-step explanation:

5(a + b) = 5a + 5b

5a + 5b - 2b = 5a + 3b

Answer:

5a + 5b -2b

5a +3b

Step-by-step explanation:

first multiply the outside number which is 5 by the number in the brackets , and the look for like terms which are numbers that have the same variable and then add them then you have your answer

Write the equation of the line that passes through the points (-3, -5) and
(-2,-4). Put your answer in fully simplified point-slope form, unless it is a vertical
or horizontal line.

Answers

I did the slope then I found the equation.
Write the equation of the line that passes through the points (-3, -5) and(-2,-4). Put your answer in

Find the surface area. Do not include units in your answer.

Find the surface area. Do not include units in your answer.

Answers

Answer:

The surface area of the triangular prism is 223.789 cm^2.

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

cross section area multiply by length.

i.e

(1/2*4*6) *12

Drag the costs to the table to classify them as direct operational costs or costs

covered by business insurance.

Costs Covered by

Business Insurance

Direct Operational Costs

Answers

Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

What are operating expenses?

A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.

The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).

For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.

Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.

The majority of these costs are routine daily spending.

Costs that weren't directement necessary for those activities are referred to be non-operating expenses.

Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

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Correct question:

A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.

Use a Venn diagram in which the event areas are proportional to their probabilities to illustrate three events A, B, and C that are independent.

Answers

A Venn diagram is a graphical representation of all possible logical relationships between a finite collection of sets. Venn diagrams are used to visualize how different sets overlap and the relationship between different groups of objects.

Venn diagrams are often used in statistics and probability to illustrate the relationship between different events.

In the context of probability, events A, B, and C are considered independent if the occurrence of one event does not affect the probability of the other events occurring. In other words, the probability of each event is independent of the other events.

To create a Venn diagram that illustrates three independent events A, B, and C, you would first draw three circles that are not overlapping.

Each circle represents one of the three events. Next, you would label each circle with the name of the corresponding event. In order to make the size of each circle proportional to the probability of the event occurring, you would adjust the size of each circle according to the probability of that event.

The larger the probability, the larger the circle. Finally, you would indicate the area of overlap between each pair of events. Because the events are independent, there should be no overlap between any of the circles. The Venn diagram would look something like this: In summary, to illustrate three independent events A, B, and C using a Venn diagram, you would draw three non-overlapping circles that represent each event and adjust their size to be proportional to the probability of that event.

There should be no overlap between any of the circles since the events are independent.

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I need help like asap !!!

only numbers and decimal points ​

I need help like asap !!!only numbers and decimal points

Answers

To find b’s value, we can plug in the formula for Pythagorean Theorem:

a^2 + b^2 = c^2

This turns into:

49 + b^2 = 144

To find the value of b^2, we simply subtract 49 from 144.

144 - 49 = 95, so b^2 = 95

Now to find the square root of 95:

√95 ≈ 9.7

This means b ≈ 9.7.

b ≈ 9.7

Reduce to simplest form. -15/12-(-9/3)

Answers

Answer: the simplest for is -4.25

Step-by-step explanation:

If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.

Answers

Answer:

AB=2AM

3x-4=2(x+3)

3x-4=2x+6

3x-2x=4+6

x=10

So length AB 3x-4=3(10)-4

30-4=26

The length of AB is 26 units.

What is a line segment ?

A line segment is denoted by two endpoints.

According to the given question M is the midpoint of segment AB.

Given, AM = x + 3 and AB = 3x - 4.

As AM is the midpoint if we take twice of AM that will be equal to AB.

∴ 2(AM) = AB

2(x+3) = 3x - 4.

2x + 6 = 3x - 4.

2x - 3x = -4 - 6.

-x = - 10.

x = 10.

So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.

= 30 - 4

= 26 units.

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What is the value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4)

Answers

The value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

How to determine the Value of the expression

Let's simplify the addition within the parentheses:

8 1/5 + 4 1/5 = (8 + 4) + (1/5 + 1/5) = 12 + 2/5 = 12 2/5

Next, let's simplify the subtraction within the parentheses:

6 6/8 - 6 2/4 = (6 - 6) + (6/8 - 2/4) = 0 + (3/4 - 1/2) = 0 + 1/4 = 1/4

Now, we can substitute the simplified terms back into the original expression:

(8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) = 12 2/5 - 1/4

To subtract mixed numbers, we need to find a common denominator. The common denominator for 5 and 4 is 20. Converting both terms:

12 2/5 = 12 * 5/5 + 2/5 = 60/5 + 2/5 = 62/5

1/4 = 1 * 5/5 * 5/20 = 5/20

Now we can subtract:

62/5 - 5/20 = (62 * 4)/(5 * 4) - 5/20 = 248/20 - 5/20 = (248 - 5)/20 = 243/20

Therefore, the value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

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The picture below shows a box sliding down a ramp:
65 c
What is the distance, in feet, that the box has to travel to move from point A to point C?
12 ft
B
12 cos 65°
12
sin 65
12 sin 65°
12
cos 65

Answers

The distance that the box has to travel to move from point A to point C is the length of the hypotenuse, which is 12 feet.

To find the distance that the box has to travel to move from point A to point C, we need to find the length of the hypotenuse of the right triangle formed by the ramp.

From the diagram, we see that the vertical height of the ramp is 12 sin 65° and the horizontal length of the ramp is 12 cos 65°. Using the Pythagorean theorem, we can find the length of the hypotenuse:

\(hypotenuse^2\) = (12 cos 65°\()^2\) + (12 sin 65°\()^2\)

\(hypotenuse^2\) = 144 \(cos^2\) 65° + 144 \(sin^2\) 65°

\(hypotenuse^2\) = 144 (\(cos^2\) 65° + \(sin^2\)65°)

\(hypotenuse^2\) = 144

hypotenuse = 12

Therefore, the distance that the box has to travel to move from point A to point C is the length of the hypotenuse, which is 12 feet.

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Write a rule for the function below

Write a rule for the function below

Answers

Answer:B

Step-by-step explanation: y=x+2

In the context of thi poem "hope" i the thing with feather. How do people overcome adverity

Answers

In the context of this poem, people overcome adversity through hope.

Hope is described as a bird with feathers that perches in the soul and never stops singing. It is a source of comfort and solace, heard in the chillest lands and on the strangest seas, even in extremities. Despite the challenges people may face, the presence of hope is enough to keep them warm and to overcome adversity.

In my own experience, hope has been a driving force in overcoming adversity. When faced with challenges, having a positive outlook and focusing on a brighter future can help to overcome difficulties and find resilience.

This idea is echoed in other literature and art, where hope is often depicted as a source of strength and comfort in the face of adversity.

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

"In the context of this poem, how do people overcome adversity? Use evidence from the poem 'hope is the thing with feathers', your own experience, and other literature or art in your answer. The poem is

"Hope" is the thing with feathers

That perches in the soul

And sings the tune without the word

And never stops - at all-

And sweetest in the gale is heard

And sore must be the storm

That could abash the little bird

That kept so many warm

I've heard it in the chillest land

And on the strangest sea

Yet never in extremity.

It asked a crumb of me."--

A spaceship traveled 81 billion miles. In scientific notation that is _____ miles.

8.1 × 10 10
8.1 × 10 -9
8.1 × 10 9
8.1 × 10 -10
plz help it's being timed

Answers

Answer:

A (8.1 x 10^10)

Step-by-step explanation:

1. 1 billion is 1,000,000,000 or 10^9

2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10

3. Thus, the answer is 8.1 x 10^10

Answer:

8.1 × 10^10

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8x + 2y = 307x + 2y = 24Solve the system of equations Describe the periods in Mendeleevs table. What is meant by signal transduction and what is its effect on the process of egg activation? Find the quotient: 72 4 what is consumer surplus who has the most best director oscar nominations without ever winning the category Through which of the devices listed are we able to connect to wireless networks? Check all that apply.Smart TVRadioAntennaTelephone Hey, could somebody help me out with this?-----------------------------------------------------------------Upload the worksheet with your constructions below. 100 POINTS NEED HELP Which accounting system (or systems) allows for the FIFO method of inventory valuation?A. IFRS onlyC. Neither IFRS nor GAAPB. GAAP onlyD. Both IFRS and GAAP given a and b, determine the least-squares error in the least-squares solution of ax equals b. When the price of a good ncreases from \( \$ 12 \) to \( \$ 28 \), the quantify demanded of the good decreases from 160 fo 40 What is the price olatticity of domand? a. Ato b. 60 C. 150 d. 186" Select the best answer for the question.18. What is the purpose of the following sentence?I think it would be best to study the problem carefully.OA. It shows strong emotion.B. It gives a command.O C. It raises a question.OD. It makes a statement.O Mark for review (Will be highlighted on the review page)31 a. When current account is in deficit, what can we say about the output produced by an economy (Y) and aggregate expenditure of an economy (E)? Briefly explain. b. Given the following information, what can we say about the relationship between national saving (S) and domestic investment (Id)? Briefly explain. Exports of goods and services = $100 billion Imports of goods and services = $200 billion Net income inflows (profits, dividends and income repatriated by American companies and individuals who are abroad minus profits, dividends and income paid to foreign countries) = $50 billion Net unilateral transfers = -$10 billion Select the correct answer.Sandra has a family history of osteoporosis. Her doctor advises her to eat foods rich in calcium. Which foods should she add to her diet?A. fruits, especially grapes and berriesB. unsaturated fats like olive and soybean oilC. beet greens, broccoli, and cheese A 29 year old female of Celtic descent, presents with various brown patches with scale on her thorax which appear to be coalescing. What the diagnoze? In an experiment with N = 6 and Preal = 0.15, what is the power using a = 0.012 tail?a. 1.0000b. 0.5000 c. 0.0000 d. 0.3771 Refuse to accept the view that mankind is so tragically bound to the starless midnight of racism and war that the bright daybreak of peace and brotherhood can never become a reality. martin luther king jr., nobel prize acceptance speech, 1964 what is the meaning of this passage? stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies how many tablespoons of vanilla are needed per dozen cookies what is the difference between electron transport and oxidative phosphorylation? how does a proton gradient drive synthesis of atp? The prism below has two faces that are regular hexagons. Each hexagonal face has an area of 42 cm^2. What is the surface area of the prism? Remember to give the correct units. Not drawn accurately