help, please Ill mark brainliest!

Help, Please Ill Mark Brainliest!

Answers

Answer 1

Answer:

the answers are 12.5, 5, 2, 0.8 and 0.32

Step-by-step explanation:

2(0.4)^-2

=2(6.25)

= 12.5

2(0.4)^-1

= 2(2.5)

=5

2(0.4)^0

=2(1)

=2

2(0.4)^1

=2(0.4)

=0.8

2(0.4)^2

=2(0.16)

=0.32


Related Questions

Find the tangents of the acute angles in the right triangle. Write each answer as a fraction,

45

tan R-

tan S -

Answers

Answer:

Following are the solution to these question:

Step-by-step explanation:

Please find the complete question in the attachment file.

Formula:

[tex]\to \tan \theta= \frac{Perpendicular}{Base}[/tex]

[tex]\to \tan R = \frac{45}{28} \\\\ \to \tan S = \frac{28}{45}[/tex]

Imagine drawing a figure with the following conditions:
VX
A quadrilateral with at least two right angles. Is the figure
described unique? Explain why or why not.

Answers

Answer:

with atleast two right angles in rectangle and it do not describe unique because it is simple

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.

Answers

Answer:

[911,∞)

Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since,  Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So,  

Hence, the solution set of the inequality will be [911,∞)

18+2 =20
Because 18 is 2 numbers away from 20

Answers

Answer:

Yes, that is correct.

Step-by-step explanation:

Which expression is equivalent to 5(2+7)?

Answers

Answer:

I can help you but first I need the rest of the answers to find out what's it equivalent to.

Find two vectors vi and v2 whose sum is (5, -5,5), where vį is parallel to (5,-1, 1) while v2 is perpendicular to (5, -1, 1). V1=__and V2 = __

Answers

The required vectors are V1 = (5/√27, -1/√27, 1/√27) and V2 = (1, 2, 3).

Given that the sum of two vectors is (5, -5, 5),

where vį is parallel to (5, -1, 1) while v2 is perpendicular to (5, -1, 1).

Now, let's find vį:

We have, vį is parallel to (5,-1, 1).

Then, a scalar k can be found such that vį = k(5,-1,1)

Using the condition that the magnitude of vį is √23,k can be found as follows:

|vį| = k|(5, -1, 1)|⟹ √(k²(5² + (-1)² + 1²)) = √23⟹ √(27k²) = √23⟹ k = 1/√27

Thus, vį = (5/√27, -1/√27, 1/√27)

Now, let's find v2:We have, v2 is perpendicular to (5,-1, 1).

Thus, the dot product of v2 and (5,-1,1) is zero.

We can write this asv2 .

(5,-1,1) = 0v2 . (5,-1,1) = 5v2₁ - v2₂ + v2₃ = 0

Thus, the vector v2 can be chosen as(1, 2, 3) as the above equation is satisfied by v2 = (1, 2, 3)

Therefore, V1 = (5/√27, -1/√27, 1/√27) and V2 = (1, 2, 3).

Know more about vectors, here:

https://brainly.com/question/30958460

#SPJ11

Give the general solution of the linear system x+y-2z = 0 2x + 2y - 3z = 1 3x + 3y +z = 7.

Answers

The general solution to the given linear system is x = 2t - 1, y = -t + 1, and z = t, where t represents any real number.

To find the general solution to the linear system, we can use the method of Gaussian elimination or matrix operations. Let's perform Gaussian elimination to solve this system.

First, let's write the augmented matrix for the system:

[1 1 -2 | 0]

[2 2 -3 | 1]

[3 3 1 | 7]

Using row operations, we can transform this matrix into row-echelon form:

[1 1 -2 | 0]

[0 0 1 | 1]

[0 0 0 | 0]

From this row-echelon form, we can deduce that the system is consistent and has infinitely many solutions.

To find the general solution, we can express the variables in terms of a parameter, let's say t. From the row-echelon form, we can see that z = t. Substituting this into the second equation, we find that 0t = 1, which is not possible. This indicates that the system is inconsistent. However, if we ignore the last equation and continue, we can express x and y in terms of t.

From the first equation, we have x + y - 2z = 0, substituting z = t, we get x + y - 2t = 0. Rearranging, we have x = 2t - 1 - y. This implies that x depends on y and t.

Similarly, from the second equation, we have 2x + 2y - 3z = 1, substituting z = t, we get 2x + 2y - 3t = 1. Rearranging, we have y = -t + 1 - x. This implies that y depends on x and t.

Therefore, the general solution to the given linear system is x = 2t - 1, y = -t + 1, and z = t, where t represents any real number.

Learn more about linear here:  

https://brainly.com/question/31510526

#SPJ11

Zoe works in a bakery. She uses 250 milliliters of milk to make a loaf of bread. How many liters of milk will she need to make 15 loaves of bread?

Answers

Answer: 3.75 liters

Step-by-step explanation:

Zoe uses 250 milliliters of milk to make a loaf of bread.

If she needed to make 15 loaves therefore, she would do the following:

= 250 * 15 loaves

= 3,750 milliliters of milk

Then convert the above quantity to liters.

1 Liter = 1,000 milliliters.

3,750 milliters to liters is:

= 3,750 / 1,000

= 3.75 liters

Without looking, sam took a colored pencil from his case, which has 1 black, 2 red, 3 blue, 2 yellow, and 1 orange pencil. What's the probability he chose a blue one?

Answers

Answer:

3/9 or 1/3

Step-by-step explanation:

Karen wants to string lights around the edge of her deck. The shape and dimensions of her deck are shown in the diagram

How many feet of lights does she need to get the lights around her deck?

Answers

She would need 70 feet of lights

Answer:

She needs 70ft of lights

Step-by-step explanation:

Which graph represents the function f(x)=−2^x−1?

Answers

Answer:

The graph in the bottom right corner

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

X=12

Step-by-step explanation:

X²=X×X, so 12×12=144

Answer:  [tex]x=12[/tex]

Step-by-step explanation:

[tex]x^{2} =144[/tex]

[tex]x=\sqrt{144}[/tex]

[tex]x=12[/tex]

solving for x, please help

Answers

Answer:

x = 5,-2

Step-by-step explanation:

Multiply the whole equation by 3(x+1) to get rid of the denominator.

[tex] \large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}[/tex]

Then we solve the equation.

[tex] \large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}[/tex]

Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2

Five more then six times a number is 17.what is the number

Answers

Answer:

2

Step-by-step explanation:

You set up and equation:

5+6x = 17

You solve it and get 2.

Step-by-step explanation:

17-5 = 12

True/False: let a be square real matrix if v is an eigenvector for eigenvalue λ then v is an eigenvector for eigenvalue λ

Answers

True. et a be square real matrix if v is an eigenvector for eigenvalue λ then v is an eigenvector for eigenvalue λ

In linear algebra, if a is a square real matrix and v is an eigenvector of a corresponding to eigenvalue λ, then v is also an eigenvector of a corresponding to the same eigenvalue λ. The definition of an eigenvector states that it remains unchanged (up to scaling) when multiplied by the matrix, and this property holds regardless of whether the eigenvalue is repeated or not. Therefore, if v satisfies the equation a * v = λ * v, it will still satisfy the same equation when considering the eigenvalue λ.

Know more about eigenvector here:

https://brainly.com/question/31669528

#SPJ11

(q8) Which of the following is the area of the surface obtained by rotating the curve
, about the y-axis?

Answers

The area of the surface obtained by rotating the curve x = y² − 2y + 1, 0 ≤ y ≤ 2 about the y-axis isπ ∫_0^2 [(y-1)^2+1] √[1+4(y-1)^2] dy.Let's work out the solution. We need to apply the formula of surface area by revolving around the y-axis.The surface area is generated by the revolving the curve about y-axis, given as,x = y² − 2y + 1, 0 ≤ y ≤ 2.

Now, we must derive the formula to calculate the area of a surface obtained by rotating a curve around the y-axis. We use the formula given below, which involves integration of the function involved.

Let's see the formula for rotating around the y-axis:Area = 2π ∫_a^b xf(x)dxWe have given x = y² − 2y + 1, 0 ≤ y ≤ 2,To apply the above formula, we need to rearrange the given curve in terms of x,Let x = y² − 2y + 1We can obtain the value of y as, y = 1 ± √(x − 1).The limits of integration of y-axis are 0 and 2.Therefore, the area of the surface obtained by rotating the curve x = y² − 2y + 1, 0 ≤ y ≤ 2 about the y-axis isπ ∫_0^2 [(y-1)^2+1] √[1+4(y-1)^2] dy.

For more questions on: surface area

https://brainly.com/question/16519513

#SPJ8

please help I give brainliest

I don't want to see link if I do you will be reported

Answers

Answer:

c(maybe?)

Step-by-step explanation:

dont give me a brainliest.

The work of a student trying to solve the equation 2(4x − 3) = 9 + 2x + 6 is shown below: Step 1: 2(4x − 3) = 9 + 2x + 6 Step 2: 8x − 3 = 15 + 2x Step 3: 8x − 2x = 15 + 3 Step 4: 6x = 18 Step 5: x = 3 In which step did the student first make an error and what is the correct step? (4 points) a Step 2: 8x − 3 = 15 + 2x b Step 2: 8x − 6 = 15 + 2x c Step 3: 8x + 2x = 15 + 2 d Step 3: 8x − 2x = 15 − 2

Answers

Answer:

Step-by-step explanation:

2(4x - 3) = 9 + 2x + 6               Combine the like terms on the right

2(4x - 3)  = 2x + 15                   The distributive property gets rid of the brackets

8x - 6 = 2x + 14                        Add 6 to both sides

     6              6

8x = 2x + 20                            Subtract 2x from both sides

-2x   -2x        

6x = 20

Step 2 is the error. It is a very common error. You multiply 2 and - 3 together. as well as 2 and 4 together. If you are going to forget something that will be it.

The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22,
median = 26, upper quartile = 29, and maximum = 37.
Which box plot represents the data?
15 16 17 18
19 20 21 22 23 24 25 26 27 28 29 30 31
31 32 33 34 35 36
15 16 17 18
19 20 21
22
20
24
25
26
27
20
20
20
31
32
33 34 35
15 16 17 18 19 20 21
18 19 20 21 22 23 24 25 26 27
25 26 27 28 29 30 31 32 33 34
32 33 34 35 36 37
O
20
15 16 17 18
21 22 23 24 25
26 27
20
29
35
33 34

Answers

Answer:

The answer is B

Step-by-step explanation:

I took the test

The box plot that represents the number of bus drivers with the given five-number summary is: option B (see image attached below).

How to Graph A Box Plot?

A box plot is graphed to indicate the five-number summary as:

Minimum is represented by the value at the extreme end of the left whiskerLower quartile is at the beginning of the edge of the rectangular boxMedian is at the vertical line dividing the boxUpper quartile is at the end of the edge of the rectangular boxMaximum is represented by the value at the extreme end of the right whisker.

Given the five-number summary of the number of bus riders as: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37, the box plot that represents the data is: Option B (see image attached below.

Learn more about box plot on:

https://brainly.com/question/14277132

#SPJ5

A random sample of 16 size A batteries for toys yield a mean of 3.29 hours with standard deviation, 1.4 hours.
(a) Find the critical value, t∗, for a 99% Confidence interval.
(b) Find the margin of error for a 99% Confidence interval.

Answers

a. Critical value, t∗, for a 99% Confidence Interval, n=16 is given by t∗=2.921. 

b. The margin of error is 0.97.

a) Critical Value, t∗ for a 99% Confidence Interval: Critical value, t∗, for a 99% Confidence Interval, n=16 is given by t∗=2.921. 
Note: t-table, with 15 degrees of freedom is used to determine the critical value for the given confidence interval. 

b) Margin of Error for a 99% Confidence Interval:Margin of error for a 99% confidence interval, n=16 is given by E = t∗× s/√n, where s is the standard deviation
E = 2.921 × 1.4/√16 = 0.97 (rounded off to two decimal places). 
Hence, the margin of error is 0.97.

To know more about interval visit:

https://brainly.com/question/30460486

#SPJ11

Find the critical value, t∗, for a 99% Confidence interval.

The sample size is 16.The degree of freedom (df) = n - 1 = 16 - 1 = 15.

From t-table for 15 degrees of freedom (df) and 99% level of confidence (α = 0.01) (two-tail) t* = 2.947.a) t* = 2.947.

b) Find the margin of error for a 99% Confidence interval.

The margin of error (E) for a 99% confidence interval is given by:

E = t* × s / √n

Where s is the sample standard deviation.

s = 1.4 (given)E = 2.947 × 1.4 / √16E = 0.7285 or ≈ 0.73

Therefore, the margin of error for a 99% confidence interval is approximately 0.73.

To know more about  Confidence interval, visit:

https://brainly.com/question/32546207

#SPJ11

If the pointer in the figure is spun​ twice, find the probability that the pointer lands on green ​(G​) both spins.

Answers

Answer:

25%

Step-by-step explanation:

The bottom left and top right are each a quarter of the circle and are thus 25% each. The slivers in the middle have to add up to 50% and are all evenly sized. That means that each sliver is 50/4 or 12.5%

Since there are two green slivers, we multiply 12.5% * 2 to get 25%.

Is this a Function or not a Function?
Help

Answers

Answer:

yes

Step-by-step explanation:

no

two equal sides of a triangle are each 8 m less than six times the third side. if its perimeter is 23 m, what are its side-lengths?

Answers

The side lengths of the given triangle are 3 m, 10 m, and 10 m.

Let's assume the length of the third side of the triangle is x.

According to the given information, the two equal sides of the triangle are each 8 m less than six times the third side. Therefore, the lengths of the two equal sides can be expressed as:

6x - 8

6x - 8

The perimeter of a triangle is the sum of all three sides. In this case, the perimeter is given as 23 m:

x + (6x - 8) + (6x - 8) = 23

Simplifying the equation:

x + 6x - 8 + 6x - 8 = 23

13x - 16 = 23

13x = 23 + 16

13x = 39

x = 39 / 13

x = 3

Now that we have the value of x, we can find the lengths of the two equal sides:

Equal side 1 = 6x - 8 = 6 * 3 - 8 = 10 m

Equal side 2 = 6x - 8 = 6 * 3 - 8 = 10 m

Therefore, the side lengths of the triangle are 3 m, 10 m, and 10 m.

To learn more about triangle

https://brainly.com/question/8877701

#SPJ11

Maria rides her bike on the same route each day. The table shows the relationship between the days (d) Maria rides her bike and the total miles (m) traveled. Maria's Bike Rides Days (d) Total Miles (m) 4 50 12 150 16 200 24 300 Which equation describes the data in the table? A. m = 12.5d B. m = d + 8.3 C. m = d + 12.5 D. m = 8.3d

Answers

Answer:

C

Step-by-step explanation:

Here are the ingredients needed to make 16 biscuits.
Biscuits
Ingredients to make 16 biscuits
175 g of butter
75 g of sugar
250 g of flour
Anna has
500 g of butter
300 g of sugar
625 g of flour
Work out the greatest number of biscuits Anna can make.​

Answers

Answer:

40 biscuits

Step-by-step explanation:

Here are the ingredients needed to make 16 biscuits.

From the above question

Ingredients to make 16 biscuits

175 g of butter

75 g of sugar

250 g of flour

Anna has

500 g of butter

300 g of sugar

625 g of flour

To find the greatest number of biscuits she can make:

For flour

250g of butter = 16 biscuits

625g of butter = x

Cross Multiply

250x = 625 × 16

x = 625 × 16/250

x = 40 biscuits

Find the flux of the vector field F across the surface S in the indicated direction.
F = x i + y j + z 2 k; S is portion of the cone z = 2 square root of x^2+y^2 between z = 2 and z = 4; direction is outward

Answers

The flux of the vector field F across the surface S in the indicated direction is 8π/3.

So, the flux of the given vector field F across the surface S can be calculated by the surface integral as follows:

Φ = ∫∫S F · dS = ∫∫S (xi + yj + z2k) · n(x, y, z) dS= ∫∫S (2x/z + 2y/z + z2(-1/2)) dS= ∫∫S (2x + 2y) / z dS= ∫0²∫2π 2rcosθ / z √(r² + z²)  dr dθ= 8π/3.

The flux of the vector field F across the surface S in the indicated direction is 8π/3.

Given, vector field F = xi + yj + z2k,

S is the portion of the cone z = 2√(x² + y²) between z = 2 and z = 4 and the direction is outward.

The flux of the vector field F is given by the surface integral:Φ = ∫∫S F · dS .

Here, dS is the outward pointing unit normal vector of the surface S. Hence the flux Φ will be positive if F points outward, otherwise negative. The surface S can be parameterized as r(x, y, z) = xi + yj + zk, where z varies from 2 to 4 and (x² + y²) = (z²/4).

Then, the unit normal vector to the surface is given by n(x, y, z) = (2x/z)i + (2y/z)j - k/2.

Know more about vector, here:

https://brainly.com/question/24256726

#SPJ11







Let X = R and A = {0, R, {1}, R\{2}}. Then a. A is a o-algebra over R for all x ER. b. A is not a o-algebra over R. c. A is a o-algebra over R for r – 1. d. None of the above.

Answers

Let X = R and A = {0, R, {1}, R\{2}}. Then a is option (b) A is not a σ-algebra over R.

To be a σ-algebra over a set X, a collection of subsets A must satisfy three properties:

1. X must be in A.

2. If A is in A, then the complement of A (X\A) must also be in A.

3. If A₁, A₂, A₃, ... are subsets in A, then their union (A₁ ∪ A₂ ∪ A₃ ∪ ...) must also be in A.

Let's examine the given collection of subsets A = {0, R, {1}, R\{2}} over the set X = R.

1. X = R is not in A. (Property 1 is violated.)

2. The complement of {1}, which is R\{1}, is not in A. (Property 2 is violated.)

3. Taking A₁ = {1} and A₂ = R\{2}, their union A₁ ∪ A₂ = {1} ∪ (R\{2}) = {1,2} is not in A. (Property 3 is violated.)

Since A does not satisfy the three properties of a σ-algebra over R, the correct answer is (b) A is not a σ-algebra over R.

To know more about algebras and their properties, refer here:

https://brainly.com/question/30237937#

#SPJ11

Simplify
3 x 34
leaving your answer in index form.

Answers

Answer:

Multiply  34  by 3  

102x

this is the simplified version

Sara had 27 peaches and 11 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 63 peaches at the stand, how many did she pick

Answers

Answer:

36

Step-by-step explanation:

sara had 27 peaches when she left the stand. when she returns the total number of peaches is 63. So to find the answer you take 63 and subtract it by 27 to get your answer.

It’s 36 trust me I got it right

Find the equilibrium vector for the transition matrix 0.47 0.19 0.34 0 0.45 0.55 0 0 1 The equilibrium vector is (Type an integer or decimaldor each matrix element)

Answers

The equilibrium vector for the given transition matrix is approximately (0.359, 0.359, 0.284).

To find the equilibrium vector, we need to solve the equation [tex]T * v = v[/tex], where T is the transition matrix and v is the equilibrium vector.

Let's denote the equilibrium vector as (x, y, z). Setting up the equation, we have:

[tex]0.47x + 0.19y + 0.34z = x\\0.45x + 0.55y + 0z = y\\0x + 0y + 1z = z[/tex]

Simplifying the equations, we get:

[tex]0.46x - 0.19y - 0.34z = 0\\-0.45x + 0.45y = 0\\0x + 0y + 1z = z[/tex]

From the second equation, we can see that x = y. Substituting x = y in the first equation, we have:

[tex]0.46x - 0.19x - 0.34z = 0\\0.27x - 0.34z = 0[/tex]

Simplifying further, we get:

[tex]0.27x = 0.34z\\x = (0.34/0.27)z\\x = 1.259z[/tex]

Since the equilibrium vector must sum to 1, we have:

[tex]x + y + z = 1\\1.259z + 1.259z + z = 1\\3.518z = 1\\z - 0.284[/tex]

Substituting the value of z back into x, we get:

[tex]x = 1.259 * 0.284=0.359[/tex]

Therefore, the equilibrium vector is approximately (0.359, 0.359, 0.284).

To learn more about the Transition matrix, visit:

https://brainly.com/question/31382944

#SPJ11

Other Questions
it is possible for a dark fringe for two different wavelengths to occur at the same angle. consider light of wavelength 600. nm and 500. nm. they both have a dark fringe at 1.72 mrad. for what minimum slit width is this possible (in mm)? A limited partner in a limited partnership can lose her limited liability if she O a. meets with prospective clients. b. invests in a competitor of the firm. O c. votes on the firm's sale or dissolution. O d. participates in the management of the firm. if the scale used on a blueprint is 1 inch to 4 feet and the drawing of a room is 4.5 inches wide, how wide is the room? Commonlit answers to THE DEVILby Guy de Maupassant One can use either Pv(Rate, NPer, Pmt, Fv, Type) or Price(Settlement, Maturity, Rate, Yld, Redemption, Frequency, Basis) to find the value of a bond. O True O False How does Health System Acquisition effects patients? providecitations what would trisha consider prior to addressing the conflict? There are two producers: Producer A and B;Each of them has two strategies: Low Price and High Price;The payoff (40, 20), for example, in the below normal-form game can be interpreted as Player A receiving 40 as profit and Player B receiving 20.Producer BLow Price High PriceProducer A Low Price 40, 20 10, 30High Price 20, 20 35, 45Find the Nash Equilibrium/Equilibria for the above normal-form game. You can write down your answer without explanation. Today, the 2-year spot interest rate in the UK is 0.1%. The 2-year spot interest rate in the US is 1.16%. The spot FX market tells me that 1 is worth exactly $1.25 today. If the market two-year forward exchange rate of Sterling for US Dollars is $1.29 per 1, demonstrate whether an arbitrage is available and, if so, demonstrate how to exploit it. discuss the context of your selected article, the authors purpose, and the style and tone. what have you learned from this early analysis? For Blossom Company, variable costs are 70% of sales, and fixed costs are $156,000. Management's net income goal is $60,000 Compute the required sales in dollars needed to achieve management's target net income of $60,000. (Use the contribution margin approach.) Required sales $____ what was the smoot-hawley tariff act? aan act that placed high taxes on products imported in the usa. bit was a tariff to protect american rights cnone of the above dsmoot and hawley wanted to help americans have money to buy during the great depression A business buyer buys goods for SEK 50,000 including VAT. (25% rate) on credit. What accounting effects does the transaction have? (a) Find absolute maximum value of the function f (x, y) = x^3 xy y^2 + 2y +1 on the triangle region T with vertices (0, 0), (0, 4) and (4, 6) .(b) Find absolute maximum value of the function f (x, y) = x^3 y^2 + 1 on the region R = {(x, y) : x^2/4 + y^2 1, y 0}. 1.This problem is a continuation of problem 2 from Homework 2. It is based on the April 2, 2022 article in The Lancet, "Reduction of dietary sodium to less than 100 mmol in heart failure (SODIUM-HF): an international, open-label, randomized, controlled trial". As in problem 2 from Homework 2, a total of 806 participants with chronic heart failure were randomly assigned to a low sodium diet (n=397) or usual care (n=409). Median age of the participants was 67 years old. Within 1 year after randomization, 22 participants in the low sodium diet group died and 17 in the usual care group died. Assume all participants were followed for a year after randomization (unless they died).a.(*1 point) If there is no association between treatment (low sodium diet or usual care) and 1-year mortality, what would be the expected number of people who would die within 1 year if they were assigned to the low sodium diet?b.(*1 point) What are the degrees of freedom for the chi-square test of association between treatment and 1-year mortality?c.(*1 point) The chi-square statistic for a test of association between treatment and 1-year mortality is 0.6. The corresponding p-value is 0.45. What is the most appropriate conclusion regarding the association between treatment and 1-year mortality based on the information in the problem statement and the chi-square test? Use a significance level of 0.05. Choose the best answer:i.There is a statistically significant association between treatment and 1-year mortality.ii.There is not enough evidence at the 0.05 level to conclude there is an association between treatment and 1-year mortality.iii.Treatment is not associated with 1-year mortality.iv.Treatment is associated with a statistically significant lower risk of 1-year mortality.v.Treatment is associated with a statistically significant higher risk of 1-year mortality. In the context of the Keynesian model, which of the following statements is incorrect?Group of answer choices:An increase in the marginal propensity to consume results in a steeper planned aggregate expenditure lineAn exogenous payment from the government to households results in an unplanned increase in inventoriesAn exogenous collection of taxes from the government results in an unplanned increase in inventoriesNone of the other options secretion of insulin from the highlighted structure results in ________. Discuss the key features of the Golden Age and Stagflation' periods. According to your view, what is the key reason why Friedman's ideas about inflation became popular during the 'Stagflation' period? 43. In a region where a mountain is eroding and sediments are depositing into an adjacent sedimentary basin, isostasy will work to:(a) sink the mountain and uplift the sedimentary basin;(b) sink the sedimentary basin and uplift the mountain;(c) uplift both the sedimentary basin and the mountain;(d) do nothing. Isostasy only works for ice loading. The CFO of a consulting engineering firm is deciding between purchasing Ford Explorers and Toyota 4Runners for company principals. The purchase price for the Ford Explorer will be $30,750. Annual main