a random sample of 1000 people was taken. 450 of the people in the sample favored candidate a. the 95% confidence interval for the true proportion of people who favor candidate a rounded to three decimal places is:

Answers

Answer 1

The 95% confidence interval for the true proportion of people who favor candidate is (0.419,0.481).

A random sample of 1000 people was condidered for testing.

Number of people in sample favoured candidate

= 450

So, sample proportion, p = 450/1000 = 0.45

Confidence level= 95% i.e, alpha = 1 - 0.95=0.05, From standard normal Z- table, the value of Z( 0.025) is equals to 1.96..

Confidence interval formula,

CL = p ± Z× √(p×(1-p)/n)

Lower bound of interval is ,

=0.45 - 1.96× √(0.45× (1-0.45)/1000)

= 0.45 - 1.96× √(0.45× 0.55/1000)

= 0.45 - 1.96× √(0.0002475)

=0.419165~ 0.419

So the Upper bound is

= p + Z×√(p×(1-p)/n)

= 0.45 + 1.96× √(0.45× (1-0.45)/1000)

= 0.45 + 1.96× √(0.0002475)

= 0.480835 ~0.481

Hence, the required confidence interval is (0.419,0.481).

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A Random Sample Of 1000 People Was Taken. 450 Of The People In The Sample Favored Candidate A. The 95%

Related Questions

Write an equation of the line that passes through (4, 8) and is perpendicular to the line y = x-5.
An equation of the perpendicular line is

Answers

The slope of a line that is perpendicular to the line y = x - 5 is the negative reciprocal of the slope of y = x - 5. The slope of y = x - 5 is 1, so the slope of the line that passes through (4, 8) and is perpendicular to y = x - 5 is -1.

We can use the point-slope form of a line to write the equation of the line that passes through (4, 8) and has a slope of -1. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, (x1, y1) is (4, 8) and m is -1, so the equation of the line is y - 8 = -1(x - 4). Simplifying this equation, we get y - 8 = -x + 4. Adding 8 to both sides of the equation, we get y = -x + 12. This is the equation of the line that passes through (4, 8) and is perpendicular to y = x - 5.

(v³ + 2v² - 21v +21) ÷ (v + 6)

Answers

Answer:

v3+2v2−21v+21/v+6

Step-by-step explanation:

There are no solutions to this equation

What are the first two steps when finding the value of the expression below?
65 (30-24 divided 6× 2)
Use the drop-down menus to explain the first two steps.
The first step us to find the value of ____
The second step is to find the value of ___

Answers

Answer:

The first step is 24 divided by 6 ..... (4)

The second step is 4 x 2 ...... (8)

Step-by-step explanation:

65(30-24 divided by 6 x 2)

65(30- 4 x 2)

65(30 - 8)

65(22)

1,430

Let's solve. 3x a) 3X 8 10. d) { + 14/= 1/1/2 ¼ 4 / = 7 3 8) ²³² + ³ = 5 X​

Answers

Answer: hmmmm who knows?

Step-by-step explanation: but you got it good luck!

what is the difference between 6x2 and 6²

Answers

Answer:

6x2 is multiplying 6 by 2 while 6² is said as '6 squared' meaning 6x6.

Step-by-step explanation:

6x2 is basic multiplication of 6x2 while 6² means we should completed 6x6.

in a factorial anova, compared to a design with only one independent variable, a major modification of using anova to analyze variability is that the sources of

Answers

A t-test cannot cover more than one group. This has to do with the underlying method used to calculate the test value.

Explain about t-test?

The t-test is designed to compare the means of two populations based on the means of the two samples. (any sample from either population).

The most important observation is that the t-test computes the difference between two sample means.

If you have trouble understanding 'variance', you can use the word standard deviation from the previous text to get your points.

In other words, there is more than one difference between the groups, but we want one measure of Total Difference Between Groups. The t-test cannot do that.

So the procedure for groups of three or more is: Run ANOVA first. As a second step, if you have reason to believe that differences exist (based on this test), you can use the t-test to determine where those differences lie.

A t-test cannot cover more than one group. This has to do with the underlying method used to calculate the test value.

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Write the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and
foci at (5, 0) and (-5, 0).

Answers

Answer:

The answer is the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0), which is:

x^2 - \frac{y^2}{5} = 1

This equation describes the shape of the hyperbola and allows you to determine the location and size of the hyperbola on a coordinate plane.

Step-by-step explanation:

The standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0) is given by:

$$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$

where $a$ and $b$ are the lengths of the semi-major and semi-minor axes, respectively. In this case, the distance between the vertices is 2, so the semi-major axis is 1 and the semi-minor axis is $\sqrt{5}$. Therefore, the equation of the hyperbola is:

$$\frac{x^2}{1^2} - \frac{y^2}{\sqrt{5}^2} = 1$$

which simplifies to:

x^2 - \frac{y^2}{5} = 1

Need Help!!!!!!!!! Solve for side similar triangle

Answers

Answer:

UT=11

Step-by-step explanation:

UV is twice the length of RS. Since UV=11 then RS=22. UT is also twice the length of RS. So if RS=22, then UT=[tex]\frac{1}{2} * 22[/tex]. UT=11

jay designed 4 t-shirts. sal designed 5 times as many t-shirts. which equation shows how many more t-shirts sal designed?

Answers

The equation which shows that how many more t- shirts sal designed is x^{y} .....

If jay designed 4 t-shirts and sal designed 5 times as many t-shirts. So the equation which shows how more t- shirts sal designed is....

Firstly we make the data to simplify the peoblem:

Suppose:

T-shirts designed by jay =  x

T-shirts designed by sal = y

As t-shirts designed by jay are 4 so

x=4

and t-shirts designed by sal are 5 times as many t- shirts so

y= 5times = 4×4×4×4×4 = 1,024

So the equation which shows how many more t-shirts sal designed will be:

Required equation = x^{y}

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At Sparky' Candy World, Mile pent a total of $13. 75 on gummy bear and jelly bean. He bought 2. 5 pound of gummy bear at $3. 40 per pound. If jelly bean cot $1. 50 per pound, how many pound of jelly bean did he buy?

Answers

By solving this question of algebra we can calculate that Mile bought 3.5 pounds of jelly bean.

What is algebra?

Algebra is the study of using variables to denote some quantity, and then solving equations to calculate the value of the quantity based on some conditions given.

How to solve questions of algebra?

Let x be the amount of gummy bear bought and y be the amount of jelly bean bought. Then, 3.40x + 1.5y = 13.75 (total amount of money)

x = 2.5 (given in question)

then,

3.40 (2.5) + 1.5y = 13.75

y = 3.5 pounds

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The sum of two numbers is 46. The larger number is 16 more than the smaller number.

Answers

Answer:

Smaller number: 15           Larger number: 31

Step-by-step explanation:

Let's call the smaller number x

So, the larger number will be x+16 (it's 16 more)

Then, write an equation:
x (smaller number) + (x+16) (larger number) = 46 (sum)

x+x+16=46
2x+16=46
2x=30
x=15
So, the smaller number is 15
The larger number is x+16, so plug in x:
x+16 = 15+16 = 31
The smaller number is 15, and the larger number is 31

[tex]y = 15 \\ x = 31[/tex]

Step-by-step explanation:

[tex]y + 16 + y = 46 \\ 2y = 30 \\ y = 15 \\ \\ x = 15 + 16 \\ x = 31[/tex]

Twice w is at most 30

Answers

Answer:

2w [tex]\leq[/tex] 30

Step-by-step explanation:

Two times the value of w must be less than or equal to 30

Answer:  w < = 15

Step-by-step explanation:

Our equation is

2w < = 30

Divided by 2 both sides

w < = 15

Work out the circumference of this circle. Give your answer in terms of pi.

Answers

Answer:

[tex]12\pi[/tex]

Step-by-step explanation:

Circumference Formula: [tex]2\pi r[/tex]

Our radius is 6, plug that in.

[tex]2\pi 6[/tex]

12[tex]\pi[/tex]

Leave in terms of pi, so do not simplify further.

Which equation has infinitely many solutions? 5(2x 4) = 10x – 12 5(2x 4) = 10(x 2) 5(2x 4) = 12x 5(2x 10) = 20(x 1)

Answers

The equation that has infinitely many solutions is 5(2x + 4) = 10(x + 2).

An equation can have infinitely many solutions when both sides of the equation satisfy the same conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. For the given equations it can determine if the equation has infinitely many solutions by simplifying the equation and see if both sides are equal. Hence,

5(2x + 4) = 10x – 12

10x + 20 ≠ 10x - 12

5(2x + 4) = 10(x + 2)

10x + 20 = 10x + 20

5(2x + 4) = 12x

10x + 20 ≠ 12x

5(2x + 10) = 20(x + 1)

10x + 50 ≠ 20x + 20

Hence, 5(2x + 4) = 10(x + 2) has infinitely many solutions.

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if two sides of a triangle are 22 in and 13 in, what is the smallest whole number value for the 3rd side?

Answers

If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10

According to the rule of triangle the sum of first angle and second angle should be greater than the third angle.

first angle+ second angle > third angle

Here

22-13 = 9

so to became a triangle the minimum value of the third side will be 10(9+1).

Therefore, If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10

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A certain arcade game gives players tickets. The table below shows the number of tickets a player gets for the number of points.

Answers

Answer: Each point appears to give the same number of tickets

9 points give 54 tickets

Step-by-step explanation:

Each point appears to give the same number of tickets

To find the number of tickets, a point gives

divide the number of tickets by the number of points.

18/3 = 6

you get six tickets per point

find the number of points that give 54 tickets by dividing 54 by 6

54/6=9

9 points give 54 tickets

Which interval contains 11 states? Check all that apply. 0 to 3 3 to 6 6 to 9 9 to 12 12 to 15 15 to 18 18 to 21

Answers

The intervals that contain 11 states, are given as follows:

3 to 6.6 to 9.

What is shown by the bar graph?

The bar graph presented by the image shown at the end of the answer shows the number of states present in each interval.

The features of the graph are given as follows:

Horizontal axis: interval.Vertical axis: number of states in each interval.

Then the number of states for each interval are given as follows:

0 to 3: 16 states.3 to 6: 11 states.6 to 9: 11 states.9 to 12: 3 states.12 to 15: 3 states.15 to 18: 3 states.18 to 21: 4 states.

Hence the intervals 3 to 6 and 6 to 9 are the intervals that contain 11 states, being the correct answers to this problem.

Missing Information

The bar graph is given by the image shown at the end of the answer.

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if x,10,2x-4, and 12 are in proportion find the value of x

Answers

Answer:

x=5

Step-by-step explanation:

To find the value of x, we need to first set up the proportion using the given information. Since the given values are in proportion, we can set up the proportion as follows:

x / 10 = (2x - 4) / 12

Next, we can cross-multiply to solve for the value of x:

12x = 10(2x - 4)

12x = 20x - 40

-8x = -40

x = 5

Thus, the value of x is 5. This means that the other values in the proportion are also 5, 10, 10, and 12, respectively.

Sergio poured 4/5 of the soda from a 2 liter bottle for his guests. How much soda in liters is still left in the bottle

Answers

The soda still left in the bottle is given as 4 liters in 2-liter bottle.

As mentioned, Sergio poured 4/5 of the soda from a 2-liter bottle for his guests.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
The soda left in the bottle will be the difference of the total quantity and the quality of the soda poured. So,
= 20 - 4/5 × 20
= 20 - 16
= 4

Thus, the soda still left in the bottle is given as 4 liters of a 2-liter bottle.

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Simplify 5r + 4p - 8r + 6

Answers

Answer: -3r+4p+6 or 4p-3r+6

Step-by-step explanation:

Combine like terms

5r-8r=-3r

4p

6

-3r+4p+6

Answer:

–3r + 4p + 6

Step-by-step explanation:

5r + 4p – 8r + 6

= 5r – 8r + 4p + 6

= –3r + 4p + 6

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Using the "split" string method from the preceding lesson, complete the get_word function to return the {n}th word from a passed sentence. For example, get_word("this is a lesson about lists", 4) should return "lesson", which is the 4th word in this sentence. Hint: remember that list indexes start at 0, not 1.

Answers

The function to return the nth word of the sentence will be given as -

def get_word(sentence, n):

# Only proceed if n is positive

if n > 0 :

words = sentence.split()

# Only proceed if n is not more than the number of words

if n <= len(words) :

return words[n-1]

return("")

According to the data given in the question we can see that the method to obtain the string will be the split string method,

According to the split string method, we separate distinct parts of the strings based on the delimiter using signs such as comma(,), hyphen(-), whitespace), etc.

To extract the 4th word in the sentence, we will assume position 3 for the 4th word.

#The function to print lesson counting from 0,

print(get_word("This is a lesson about lists", 4))

print(get_word("This is a lesson about lists", -4))

#No printing as the first condition is not met

print(get_word("Now we are cooking!", 5))

#No printing occurs as it also does not meet the condition of the second statement.

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Can someone help me with Question 2b of this assignment? I'd deeply appreciate it! :)

Answers

Answer:

x=-6

Step-by-step explanation:

[tex]\frac{1}{2} x[/tex]-6=2x+3

∴2×( [tex]\frac{1}{2} x[/tex]-6)=2×(2x+3)

∴x-12=4x+6

∴3x=-18

∴x=-6

If Hugo has 4 times as many quarters as nickels and they have a combined value of 840 cents, how many of each coin does he have?

Answers

Let Q be the number of quarters and N be the number of nickels that Hugo has. We are given that Hugo has 4 * N quarters and that the total number of quarters and nickels is worth 840 cents. Since each quarter is worth 25 cents and each nickel is worth 5 cents, the total number of quarters is worth 25 * Q cents and the total number of nickels is worth 5 * N cents. Therefore, the total number of quarters and nickels is worth 25 * Q + 5 * N cents. Since the total number of quarters and nickels is worth 840 cents, we can set up the following equation to represent this information:

25 * Q + 5 * N = 840

We are also given that Hugo has 4 * N quarters, so we can set up the following equation to represent this information:

Q = 4 * N

We can solve this system of equations to find the number of quarters and nickels that Hugo has. Substituting the value of Q in the second equation into the first equation, we get the following:

25 * (4 * N) + 5 * N = 840

Distributing the 25 on the left side of the equation, we get the following:

100 * N + 5 * N = 840

Combining like terms, we get the following:

105 * N = 840

Dividing both sides of the equation by 105, we get the following:

N = 8

Substituting the value of N into the second equation, we get the following:

Q = 4 * 8

Solving for Q, we get the following:

Q = 32

Therefore, Hugo has 8 nickels and 32 quarters.

Answer:

32 quarters

8 nickels

Step-by-step explanation:

Information:

1 quarter = 25 cents1 nickel = 5 cents

Define the variables:

Let x be the number of quarters.Let y be the number of nickels.

If Hugo has 4 times as many quarters as nickels:

[tex]\implies x=4y[/tex]

If the combined value of quarters and nickels is 840 cents:

[tex]\implies 25x+5y=840[/tex]

Substitute the first equation into the second equation and solve for y:

[tex]\implies 25(4y)+5y=840[/tex]

[tex]\implies100y+5y=840[/tex]

[tex]\implies 105y=840[/tex]

[tex]\implies y=8[/tex]

Substitute the found value of y into the first equation and solve for x:

[tex]\implies x=4(8)[/tex]

[tex]\implies x=32[/tex]

Therefore, Hugo has:

32 quarters8 nickels

You might need:
Nizhoni adds water at a constant rate to a 2 L reservoir in a water filtering pitcher until it is full.
At the same time, water goes through the filter and out of the reservoir, into the pitcher. It takes
5/11 minutes to fill the reservoir, then another 3 minutes for the reservoir to empty.
3 1/3 minutes for it to empty. at what rate does nizhoni add water to the reservoir?

Answers

At the rate of 4 2/5 L of water is added into the reservoir per minute.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

As  It takes 5/11 minutes to fill the reservoir.

So, the rate at which Nizhoni adds water to the reservoir.

Rate=  Volume/ Time taken

Rate = 2 L/ (5/ 11)

        = 2 x 11/5

        = 22/5 L/ min

         = 4 2/5 L/ min.

Hence, at the rate of 4 2/5 L of water is added into the reservoir in one minute.

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Answer: 5

Step-by-step explanation: I answered this question.

Given that is it ever possible to have
Explain.

Answers

The answer is yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

What are square roots?

A square root of a number is a value that, when multiplied by itself, gives the number.

Given that, is it possible √a+√b = √a+b

Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

If either a or b equals zero, then the sums would be the same.

Since the square root of 0 is ±0, adding it to a given radical would not change the radical. Also, adding zero to the radicand would not change its value.

Hence, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

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Ethan buy a video game on ale. If the video game ueully cot $39. 99 and it wa on ale for 20% off how much did ethan pay?

Answers

Answer:

$31.99

Step-by-step explanation:

I have no idea what to put here

PLEASE HURRY! Gianna has 23 feet of leftover wood to use to build a bookshelf. The design calls for two side pieces that are each 4 feet in length, plus a top piece, a bottom piece, and three shelves that are equal in length.

How long is each shelf?

___ feet

Answers

Why do you want an answer immediately. Just know, don't ever cheat by using 'Brainly'

What are the types of triangles based on their sides and angles? How do you classify a triangle as equilateral, isosceles, scalene, acute, right, or obtuse? Give an example of each.

Answers

Based on their sides, the 3 triangles are classified as equilateral triangles, isosceles triangles, and scalene triangles.

A triangle is scalene if all of its three sides and angles are different

Scalene-Triangle-1

In the figure, all three symbols that are given on each side are different, which denotes that all three sides are unequal.

If two of its sides are equal, a triangle is called an isosceles.

One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.

A triangle with all three equal sides is called equilateral.

The sum of all three angles of an equilateral triangle is equal to 180 degrees.  60° + 60° + 60° = 180°

Acute angles measure less than 90 degrees.

the examples of acute angles are 25°, 36°, 47°, 64°, 55°, 72°, 80° and so on

Right angles measure 90 degrees.

Examples of right angles are all around us. We can see right angles in the corners of a room, book, cube, windows, and at several other places.

Obtuse angles measure more than 90 degrees

Examples of obtuse angles include 166°, 121°, 110°, 117°, and 91°.

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Mio bought x grams of flour. Sol bought 3 8​ more than that. Select ALL of the equations that represent the relationship between the amount of flour that Mio bought, x, and the amount of flour that Sol bought, y.

1) y= 3/8x
2) y= 5/8x
3) y= x+3/8x
4) y= x-3/8x
5) y= 11/8x

Answers

The equation that correctly represents the problem is 3) y = x+ 3/8x

What is a linear equation with two variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.

Given here, mio brought x grams and sol bought 3/8 times more than x hence, sol bought y = x  + 3/8x  

Hence, the correct option is 3) y=x+3/8x

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-5 feet from the urface of the water and plan to explore a hipwreck that i at -75 feet from the urface. If he move at a rate of -8 feet per minute, how many minute doe it take the diver to reach the hipwreck? The diver will take

Answers

Using the provided values for the depth and moving rate of the driver , We can use simple unitary method and the answer is 8.75 minute.

What do you mean by unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

What do you mean by arithmetic operators?

The arithmetic operator is used to carry out mathematical operations on the provided operands, including addition, subtraction, multiplication, division, and modulus.

initial depth = 5 feet

shipwreck at 75 feet

depth to travel = 75-5 = 70 feet

rate = 8 feet/minute

time = 70/8

=8.75 minute.

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hoover corp., a wholesaler of music equipment, issued $31,400,000 of 20-year, 5% callable bonds on march 1, 20y2, at their face amount, with interest payable on march 1 and september 1. the fiscal year of the company is the calendar year. journalize the entries to record the following selected transactions: 20y2 mar. 1 issued the bonds for cash at their face amount. sept. 1 paid the interest on the bonds. 20y4 sept. 1 called the bond issue at 102, the rate provided in the bond indenture. (omit entry for payment of interest.) A major conclusion of the Hawthorne studies was that the best way to motivate employees is with monetary incentives such as pay raises and bonuses. t/f The ____ model examines an individual's family and social interactions as well as the shared beliefs, values, and history of the individual's culture. What was one challenge indian farmers faced under british rule? a. they had to grow cash crops instead of food crops. b. they had to buy expensive british farm equipment. c. they were forced to collect taxes to run their farms. td. hey were forced to grow surplus food crops. the nurse elicits a positive chvostek sign when tapping on the facial nerve. what action by the nurse is a priority after this assessment is complete? one explanation for the disparities between u.s. and european students' performance on standardized tests is that, compared to european neighborhoods, u.s. neighborhoods are more . T/F Purchase Returns and Allowances and Purchase Discounts are accounts with credit balances and are subtracted from Purchases to produce net purchases. Prove that for any natural number n: The number 3^n+2 - 2^n+2 + 3^n - 2^n is divisible by 10.Answer: (___)10 What is 71/5 as a decimal find the curvature at the point (2, 8, 1). x = 2t, y = 8t3/2, z = t2 which of the following is the proper order of cells for water and minerals to travel from the soil into the xylem? A Soil-epiblema endodermis-cortex-pericycle-xylemB Soil-epiblema-cortex-endodermis-pericycle-protoxylem-metaxylemC Soil-epiblema-cortex-endodermis-pericycle-metaxylem-protoxylemD Soil-cortex-epiblema-pericycle-metaxylem-protoxylem True or False : muscle protein synthesis occurs for up to twenty-four hours after a single bout of heavy resistance exercise. the demand that women should receive equal pay relative to men for work that is similarly demanding, involves similar responsibilities, and requires similar levels of education and training is the basis of the concept of:________ 1. What are the metric units for velocity? 2. How is velocity different than speed?{BEST ANSWER WITH EXPLANATION GETS BRAINLIEST}{Also please number the questions you answered.. It makes it easier to read} if a company earns $1,000 profit, has 100 shares issued and outstanding, and a share price of $2, what are the earnings per share? at the start of act 1, the watchmen and horatio speculate that the appearance of the ghost means that... question 12 options: something bad will soon happen in denmark (aka foreboding). someone is playing a practical joke on them. denmark is about to win an important battle. denmark is inhabited by thousands of similar spirits. multiply by 6, 7, 8, and 9 fill in the puzzle so that the product in each column and row is the same We consider a DHKE protocol over a Galois fields GF(2^m). All arithmetic is done in GF(25) with P(x) = x^5 + x^2 + 1 as an irreducible field polynomial. The primitive element for the DiffieHellman scheme is a = x2. The private keys are a = 3 and b = 12. You will need to show your work and answer the following questions.a. Show how Alice computes bAb. Show how Bob computes bBc. Show how Alice computes KABd. Show how Bob computes KBA a stage of the cell cycle during which the cell membrane pinched in____and____the cytoplasm divides into two daughter cells after mitosis or meiosis. a client diagnosed with pulmonary edema has a paco2 of 72 mm hg and an oxygen saturation of 84%. what method of oxygen delivery would best meet the needs of this client?