A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 4.20. A sample of 37 honors students is taken and is found to have a mean GPA equal to 4.30. The population standard deviation is assumed to equal 0.40. The parameter to be tested is __________.

Answers

Answer 1

The parameter to be tested is z.

We would set up the hypothesis test.

For the null hypothesis,

µ ≥ 4.2

For the alternative hypothesis,

µ < 4.2

It is a left tailed test.

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 4.2

x = 4.3

σ = 0.4

n = 37

z = (4.3 - 4.2)/(0.4/√37) = 1.53

Looking at the normal distribution table, the probability corresponding to the z score is 0.933

The p value gotten is to the right of the normal curve. Since it is a left tailed test, we need the p value to the left of the curve. Therefore,

p = 1 - 0.933 = 0.067

Since alpha, 0.05 < than the p value, 0.067, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, there is no significant evidence that mean GPA of these graduates does not exceed 4.30

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Related Questions

How may sides would a regular polygon have if each exterior angle measures 6 degrees

Answers

Answer:

60 sides

Step-by-step explanation:

Since the sum of all exterior angles in a polygon is 360°, we have to divide 360 by 6 to find the number of sides.

360/6 = 60.

So, the polygon has 60 sides.

Hope this helps! (:

Answer:

14

Step-by-step explanation:

because it is a small angle that will indooor more sides

Stan walked a distance of 15km in 3 hours. At what average speed did stan walk?

Answers

Hello,

[tex]Speed = \frac{Distance}{Time} = \frac{15 km}{3 h} = \boxed{5 km/h}[/tex]

Stan walked at 5 km/h

5km/h you divide 15 by 3 and that gives you 5

Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
323. (c − 5)(c + 5)

Answers

Answer:

The product is the difference of squares is [tex]$$\left(c-5\right)\left(c+5\right)={{c}^2}-25$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (c-5)(c+5).We have to multiply the given expression.Square the first term c. Square the last term 5 .

[tex]$$\begin{aligned}&(c-5)(c+5)=(c)^{2}-(5)^{2} \\&(c-5)(c+5)=c^{2}-25\end{aligned}$$[/tex]

Question 1 of 15
Solve 18x+62 12x+18.
A. x ≥ 4
B. x≤ 4
C. x≤2
D. x ≥ 2

Answers

Answer:

18+62=80x

12+18=30x

x=80÷30=2

x>2

Julissa is printing out copies for a work training. it takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. she needs to print no fewer than 8 copies within 25 minutes. which system of inequalities represents the number of color copies, x, and grayscale copies, y, that julissa can print to meet her goal? a. 2x 4y ≤ 25 x y ≥ 8 b. 4x 2y ≥ 25 x y ≥ 8 c. 4x 2y ≤ 25 x y ≤ 8 d. 4x 2y ≤ 25 x y ≥ 8

Answers

The system of inequalities represents the number of color copies, x, and grayscale copies, y, that julissa can print to meet her goal is;

x + y ≥ 8

x + y ≥ 84x + 2y ≤ 25

Inequality

let

Number of color copies = xNumber of grayscale copies = y

Time to print color copies = 4 minutesTime to print grayscale copies = 2 minutesTotal copies = 8Total time = 25 minutes

x + y ≥ 8

4x + 2y ≤ 25

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12. a) Solve the following|x-1|<2. ​

Answers

Answer:  -1 < x < 3

Work Shown:

| x-1 | < 2

-2 < x-1 < 2 ... see note1 below

-2+1 < x-1+1 < 2+1 ... see note2

-1 < x < 3

Note1: use the rule that |x| < k turns into -k < x < k for some positive real number k.Note2: Add 1 to all sides to isolate x

A rectangle is divided into two equal parts and a circle is divided into four parts and a circle is divided into four equal parts. One part of rectangle is shaded.
How many parts of the circle should be shaded so that both the figures have the same fraction shaded?(1 Point)

Answers

Answer:

2 parts

Step-by-step explanation:

The rectangle has a 1/2 ratio, because there are 4 parts of the circle, you will shade 2. This is because 2/4 ratio is simplified to 1/2.

21. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?
21. Line 1: Passes through (1, 7) and (5, 5)
Line 2: Passes through (−1, −3) and (1, 1)

Answers

Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

[tex]$$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$$[/tex]

Step 2 of 2

Find the slope of first line.

[tex]$$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$$[/tex]

And

[tex]$$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$$[/tex]

Since, both slopes are reciprocal of each other.

Therefore, the lines are perpendicular.

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 3 ≤ x ≤ 6.
Answer:
OC
1
2
ين
3
4
5
6
f(x)
69
64
59
54
49
44


Need Help

Answers

Answer:

this question is not clear i have read it twice an still dont understand it. Sorry

A rotation is a transformation where an object . A translation is a transformation where an object

Answers

A translation is a transformation in which an object at every point according to a given vector and a rotation is a transformation in which an object is moved angularly with respect to a point.

What is the nature of two rigid transformations?

In this question we have two rigid transformations to be defined: (i) Rotation, (ii) Translation. Rigid transformations are transformations applied on geometric loci such that Euclidean distance is conserved. Herein we must describe the characteristic of a rotation and a translation.

A translation is a transformation in which an object at every point according to a given vector and a rotation is a transformation in which an object is moved angularly with respect to a point.

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Answer:

A rotation is a transformation where an object-

moves in a circular arc around a point

A translation is a transformation where an object-

moves a specified distance along a line parallel to a specified line

Step-by-step explanation:

Plato answer

CAN ANYONE HELP ME WITH THIS QUESTION?

Answers

Answer:

try 4

Step-by-step explanation:

8x4= 32

32-7=25

On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0).
Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?

Answers

Based on the calculations, the scale factor for this dilation is equal to 1/3.

How to determine the scale factor for this dilation?

First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:

Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]

Substituting the given points into the formula, we have;

Distance QR = √[(5 - (-1))² + (0 - 0)²]

Distance QR = √[(5 + 1)² + (0)²]

Distance QR = √[6² + 0]

Distance QR = √36

Distance QR = 6 units.

For side Q'R', we have:

Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]

Distance Q'R' = √[(1 + 1)² + (0)²]

Distance Q'R' = √[2² + 0]

Distance Q'R' = √4

Distance Q'R' = 2 units.

Now, the scale factor for this dilation is given by:

Scale factor = Q'R'/QR

Scale factor = 2/6

Scale factor = 1/3.

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Answer:

Step-by-step explanation:

its 1/3

I need the answer for number 8

Answers

Answer:

Step-by-step explanation:

I'm going to assume you want it to be a perfect triangle, so then we would have the equation 4x=24. So we can divide each side by 4 to get rid of the 4 and get x by itself. So 24/4= 5. So x=5

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 3), (2, 6), (3, 12), (4, 24)

Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points)

Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points)

Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work. (4 points)

Answers

The data is modeling a geometric sequence because they have a common ratio of 2.

Calculations and Parameters

The recursive formula to determine the time she will complete station 5

f(n)=f(n-1)*rf(n)=f(5-1)*2f(n)=f(4)*2f(n)=(24)2f(n)= 48

Part C:

The explicit formula to find the time she will complete the 9th station.

f(n)=f(1)*r^n-1f(n)=3*2^8-1f(n)=3*2^7f(n)=3*128f(n)=384

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During a local high school football game, the height h feet of a football after t seconds can be represented by the function h(t) = −16t2+ 58t + 2. Find h(2.5) and explain its meaning.

Answers

h(2.5) = 47, and this mean that the height of the football after 2.5 seconds is 47 feet, using the quadratic function h(t) = -16t² + 58t + 2.

In the question, we are given that during a local high school football game, the height of h feet of a football after t seconds can be represented by the quadratic function h(t) = -16t² + 58t + 2.

We are asked to find h(2.5) and explain its meaning.

To find h(2.5), we substitute t = 2.5, in the quadratic function h(t) = -16t² + 58t + 2.

Thus,

h(2.5) = - 16(2.5)² + 58(2.5) + 2,

or, h(2.5) = - 16(6.25) + 145 + 2,

or, h(2.5) = -100 + 147,

or, h(2.5) = 47.

Hence, h(2.5) = 47, and this mean that the height of the football after 2.5 seconds is 47 feet, using the quadratic function h(t) = -16t² + 58t + 2.

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HELP ASAP
Given: ABCD is a parallelogram.
Prove: A is congruent to FCE.

Answers

Answer:

Step-by-step explanation:

Hi!

A is congruent to angle C. Because angle FCE is on the other side of the angle C which is equal to A, angle FCE has to equal A

Thaddeus models the number of hours of daylight in his town as
d(t) = 2sin(xt) + 12, where dis the number of daylight hours and tis the
time in months since january 1.
what are the least and greatest numbers of daylight hours over the course of
a year?
a. least: 10 hours; greatest: 14 hours
b. least: 6 hours; greatest: 12 hours
c. least: 2 hours; greatest: 12 hours
o d. least: 7 hours; greatest: 14 hours
submit

Answers

Option (A) :  least: 10 hours; greatest: 14 hours

The function f(x) = sin x has all real numbers in its domain, but its range is

−1 ≤ sin x ≤ 1.

How to solve such range questions?

Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question

Given: d(t) = 2sin(xt) + 12

=  −1 ≤ sin (xt) ≤ 1.

=  −2≤ 2 sin (xt) ≤ 2.

=  10 ≤ 2sin (xt) + 12 ≤ 14

=   10 ≤d(t) ≤ 14

Thus  least: 10 hours; greatest: 14 hours

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jackie has been averaging 3 hits for every 10 times at bat. What is the probability that she will get eactly 2 hits in her net 5 times at bat?

Answers

Answer:

the chance is 1.5 out of 5

Which of the following rational functions is graphed below?

Answers

The answer is B, f(x)=1/(x-6)

SOMEONE PLS HELP MEEEE

Answers

The solutions to the quadratic equations are:

a) [tex]x = \frac{3 \pm \sqrt{19}}{5}[/tex]

b) x = -8, x = 5.

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

Item a:

The coefficients are a = 5, b = -6, c = -2, hence:

[tex]\Delta = (-6)^2 - 4(5)(-2) = 76[/tex][tex]x_1 = \frac{6 + \sqrt{76}}{10} = \frac{6 + 2\sqrt{19}}{10} = \frac{3 + \sqrt{19}}{5}[/tex][tex]x_2 = \frac{6 - \sqrt{76}}{10} = \frac{6 - 2\sqrt{19}}{10} = \frac{3 - \sqrt{19}}{5}[/tex]

Item b:

The equation is:

x² + 3x = 40

x² + 3x - 40 = 0.

It can be simplified as follows:

(x - 5)(x + 8) = 0.

Hence the solutions are:

x - 5 = 0 -> x = 5.x + 8 = 0 -> x = -8.

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Create your own games fair game with 4 or more outcomes using a binomial situation presented in this lesson (simulated with a spinner or random number) and adjust the point values so that a cost of 10 points would make the game profitable. be sure to justify why it is profitable and explain the process it took to find profitable outcomes.

Answers

The game is profitable since the payout is always less than what you earn.

Given that a fair game with 4 or more outcomes using a binomial situation presented in this lesson (simulated with a spinner or random number) and adjust the point values the  so cost of the 10 points will make the game profitable.

Let's discuss the Lucky 7 game

The game is played with the two fair dice rolls.

You put your money on either of 3 things: Above 7, Lucky 7 or below 7

The game below is designed in Excel:

Each cell formula to generate the game:

They are 36 possible outcomes.

7 is the most likely number coming up

6/36=1/6

of the time.

Thus the expected value of the bet is:

(5/12)x₂+(5/12)x₂+(1/6)x₃=26/12

Which, of course, can not make any sense. so, the good idea from the standpoint of the bank is to pay two times on only one of the two possibilities, not a seven, and to give the bet back on the 7. This then gives:

(5/12)x₂+(5/12)x₀+(1/6)x₁=12/12=1

Which is a perfectly fair game.

Of course, the bank wouldn't approve either, so we probably need more restrictions. The way 7 comes out is: 2 ways for each case, (1,5), (2,5), (3,4), then a constraint like not to pay on (5,1) would be added.

Then the 7 returns the money

4/36 = 1/9.

The new case then yields:

(5/12)x₂+(5/12)x₀+(1/9)x₁=34/36=17/18

This says that for every $18 handled in bets the bank expects to pay out $17.

Hence we can say that the game is profitable since the payout is always less than what you earn.

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A trader sold a tv for sh .18000 making a 20percent loss.For how much was he supposed to sell it in order to make 20percent profit.​

Answers

Answer:

The trader was supposed to cell the TV for sh. 27000 in order to make 20% profit

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

Let the cost price is x.

We have:

x - 20% = 18000

Solve it for x:

x - 0.2x = 180000.8x = 18000x = 18000/0.8x = 22500

The cost is 22500, find selling price with 20% profit:

22500 + 20% = 22500 + 0.2*22500 = 22500*1.2 = 27000

Geometry question confused

Answers

Answer:

my ans will be wrong also and right also 50%5$chances it is an opposite angle so it is in out manner so iys sum is 180 so we have to subbtract

Step-by-step explanation:

65०to 180०(180०-65०=115०) i think ans is 115०the missing angle measurement is 115०in my opinion

30. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
30. f(-5) = -4, and f(5) = 2

Answers

Answer:

The required linear equation satisfying the given conditions f(-5)=-4 and f(5)=2 is

[tex]$$y=\frac{3}{5} x-1$$[/tex]

Step-by-step explanation:

It is given that f(-5)=-4 and f(5)=2. It is required to find out a linear equation satisfying the conditions f(-5)=-4 and f(5)=2. To find it out, first, represent the given conditions in the form of points and then find the slope of a line passing through these two given points. Then consider one of the points to give the linear equation of the line in the form [tex]$\left(y-y_{2}\right)=m\left(x-x_{2}\right)$[/tex]

Step 1 of 4

Observe, f(-5)=-4 gives the point (5,-4)

And f(5)=2 gives the point (5,2)

This means that the function f(x) satisfies the points (-5,-4) and (5,2).

Step 2 of 4

Now find out the slope of a line passing through the points (-5,-4) and (5,2).

[tex]$$\begin{aligned}m &=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\m &=\frac{2-(-4)}{5-(-5)} \\m &=\frac{2+4}{5+5} \\m &=\frac{6}{10} \\m &=\frac{3}{5}\end{aligned}$$[/tex]

Step 3 of 4

Now use the slope [tex]$m=\frac{3}{5}$[/tex] and use one of the two given points and write the equation in point-slope form:

[tex]$$\left(y-y_{2}\right)=m\left(x-x_{2}\right)$$\\ $$(y-2)=\frac{3}{5}(x-5)$$[/tex]

Distribute [tex]$\frac{3}{5}$[/tex],

[tex]$$\begin{aligned}&y-2=\frac{3}{5} x-\frac{3}{5} \times 5 \\&y-2=\frac{3}{5} x-3\end{aligned}$$[/tex]

Step 4 of 4

This linear function can be written in the slope-intercept form by adding 2 on both sides, [tex]$y-2+2=\frac{3}{5} x-3+2$[/tex]

[tex]$$y=\frac{3}{5} x-1$$[/tex]

So, this is the required linear equation.

What is the solution to the equation 3√x+4+3/2x+8 = 0?
Ox=-12
Ox= -4
x = 4
O x = 12

Answers

Answer:

-4

Step-by-step explanation:

PLEASE HELP ASAP
Find the equation of the line.
y =
1
1×-8
Enter

Answers

Answer:

the Slope: 11

the y-intercept: (0, - 8) x        y

                                     0       -8

                                     1         3

Step-by-step explanation:

Answer:

[tex]y=\frac{11}{8}x+\frac{1}{2}[/tex]

12. Which one is not a polynomial? a) 4x² + 2x - 1 b) y - 3/y b) y² + √5y + 1
pls help ASAP ​

Answers

Answer:

b is not a polynomial

Step-by-step explanation:

b is not a polynomial because in y-3/y the y in denomination means y to the power -1 when it is taken to numerator and if power is negative then it is not a polynomial

Which of the following expressions are equivalent to -0.5(1.7+1.7)−0.5(1.7+1.7)minus, 0, point, 5, left parenthesis, 1, point, 7, plus, 1, point, 7, right parenthesis? Choose all answers that apply: Choose all answers that apply: (Choice A) A -0.5\cdot1.7-0.5\cdot 1.7−0.5⋅1.7−0.5⋅1.7minus, 0, point, 5, dot, 1, point, 7, minus, 0, point, 5, dot, 1, point, 7 (Choice B) B 2(-0.5)(1.7)2(−0.5)(1.7)2, left parenthesis, minus, 0, point, 5, right parenthesis, left parenthesis, 1, point, 7, right parenthesis (Choice C) C None of the above

Answers

The expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)

and 2(-0.5(1.7))

Distributive law of expansion

Given the expression below;

-0.5 (1.7 + 1.7)

According to the distributive law;

A(B+C) = AB + AC

Expand

-0.5(1.7) + (-0.5)(1.7)

-0.5(1.7) - 0.5(1.7)

2(-0.5(1.7))

Hence the expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)

and 2(-0.5(1.7))

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find intervals when the graph is growing or increasing or constant

Answers

The function shown in the graph is increasing over the interval (-1, 0) and (1, ∞). It is decreasing over the interval (-∞, -1) and (0, 1). The function does not remain constant.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The function shown in the graph is increasing over the interval (-1, 0) and (1, ∞). It is decreasing over the interval (-∞, -1) and (0, 1). The function does not remain constant.

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United and city are playing each other in the final. it has been calculated that the probability of united winning is three fifths. what is the probability of united not winning?

Answers

The probability of not winning of united is [tex]\frac{2}{5}[/tex] .

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given that the probability of winning of united is [tex]P(A)=\frac{3}{5}[/tex] .

Usually, we take the total probability is 1

So, the probability of not winning of united is [tex]1-\frac{3}{5}[/tex]

                                                                        [tex]=\frac{5-3}{5}\\=\frac{2}{5}[/tex]

Therefore, the probability of not winning of united is [tex]\frac{2}{5}[/tex] .

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Which best describes the relationship between the lines?2x y = 14x 2y = 6same lineperpendicularneitherparallel In at least one well-developed paragraph, explain how many sneakers and video games are produced at each of the five points on the graph. Then in at least one additional, well-developed paragraph, analyze how the graph can show efficiency, growth, and cost. What is the value of x in the triangle? A. B. C. D. E. Believing that you can establish all your moral beliefs by consulting your feelings is an example of The driving force behind Best Buy's Jill store initiative is to create positive Select the correct answer fromeach drop-down menu.The Spanish Civil War is also known asSoviet Union and Mexico supported thebecause many countries indirectly participated in the war. Countries such as the soviet union and mexico supported the blank, while countries such as Germany and Italy supported the blank. You are assessing a 28-year-old patient and you notice he has pinpoint pupils. You suspect a drug overdose. What drug is the likely cause of this phenomenon? Professor McGonagall is analyzing the data from her latest experiment research on the amount of time spent flying and its effect on the speed of cognitive processing. Based on the following information, what conclusions may or may not be drawn by Professor McGonagall and what, if anything, can be generalized to the larger population? a. The number of participants in the study (N) = 10 b. The control group mean speed of cognitive processing = 30 seconds c. The experimental groups speed of cognitive processing = 40 seconds d. The standard deviation is large. e. The probability factor = .10 What went from Africa to North America in 1800s 9. Arrowfor the action.A, B__stands 4. Profit maximization and loss minimizationBYOB is a monopolist in beer production and distribution in the imaginary economy of Hopsville. Suppose that BYOB cannot price discriminate; that is, it sells its beer at the same price per can to all customers. The following graph shows the marginal cost (MC), marginal revenue (MR), average total cost (ATC), and demand (D) for beer in this market.Place the black point (plus symbol) on the graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing its loss. One of the benefits of establishing policies for the service of alcoholic beverages is that it:. 6. It takes a delivery truck 2 hours to travel 70 km to deliver a new fridge. The truck drives part ofthe way on the highway at 80 km/h and the rest on city roads in traffic at only 20 km/h. (6 marksT)a) How far did the truck travel on each road?4 Can someone help me Choose two inferences that can be made about a total solar eclipse as it is happening When drawing structures from compound names, _____ are given priority in numbering carbons over _____. thaths your new dress change into tag question Simplify [4 - ( 64 - 64 ) ] Economists began to think of the national economy. They talked of how the nation could develop and what economic measure could help forge this nation together. Friedrich List, professor of Economics at the university of Tbingen in Germany, wrote in 1834: The aim of zollverein is to bind the Germans economically into a nation. It will strengthen the nation materially as much by protecting its interests externally as by stimulating its internal productivity. It ought to awaken and raise national sentiment through a fusion of individual and provincial interests. The German people have realized that a free economic system is the only means to engender national feeling.' A wave of economic nationalism strengthened the wider nationalist sentiments growing at the time.1. Zolleverein was an attempt to unify Germany, this ambition of German unification could be achieved as a. Removal of tariff barriers will unify German states.b. Removal of tariff obstacles will make a united Germanyc. Germany can be bind into a nation due to economic interestsd. Removal of Trade obstructions and free movements of goods will encourage national feelings.2. The case given to study is a clear reason to observe that a. Nation states cannot be created alone by political interestsb. Nation states can be a reality due to economic interestsc. Nation states will result as an outcome of economic nationalism.d. Nation states are result of political awakening Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?