Suppose that a random sample of 16 measures from a normally distributed population gives a sample mean of x=13.5 and a sample standard deviation of s=6. the null hypothesis is equal to 15 and the alternative hypothesis is not equal to 15. using hypothesis testing for t values do you reject the null hypothesis at alpha=.10 level of significance?

Answers

Answer 1

Answer:

Step-by-step explanation:

The summary of the statistics given include:

population mean [tex]\mu[/tex] = 15

sample mean [tex]\oerline x[/tex] = 13.5

sample size n = 16

standard deviation s = 6

The level of significance ∝ = 0.10

The  null and the alternative hypothesis can be computed as follows:

[tex]\mathtt{H_o: \mu = 15} \\ \\ \mathtt{H_1 : \mu \neq 15}[/tex]

Since this test is two tailed, the t- test can be calculated by using the formula:

[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}[/tex]

[tex]t = \dfrac{13.5 - 15}{\dfrac{6}{\sqrt{16}}}[/tex]

[tex]t = \dfrac{- 1.5}{\dfrac{6}{4}}[/tex]

[tex]t = \dfrac{- 1.5\times 4}{6}}[/tex]

[tex]t = \dfrac{- 6.0}{6}}[/tex]

t = - 1

degree of freedom = n - 1

degree of freedom = 16 - 1

degree of freedom = 15

From the standard normal t probability distribution table, the p value when t = -1 at  0.10 level of significance, the p - value = 0.3332

Decision Rule: We fail to reject the null hypothesis since the p-value is greater than the level of significance at 0.10

Conclusion: Therefore, we can conclude that  there is insufficient evidence at the 0.10 level of significance to conclude that the population  mean μ is different than 15.


Related Questions

Explain how to perform a​ two-sample z-test for the difference between two population means using independent samples with known.

Answers

Answer:

The steps 1-7 have been explained

Step-by-step explanation:

The steps are;

1) We will verify that the population standard deviations are known and that the population is normally distributed which means the sample size must be a minimum of 30.

2) We will state the null and alternative hypothesis

3) We will determine the critical values from the relevant tables

4) From the critical values gotten, we will determine it's corresponding region where it can be rejected.

5)We will calculate the value of the test statistic from the formula;

z = [(x1' - x2') - (μ1 - μ2)]/√[((σ1)²/n1) + ((σ2)²/n2)]

6) If the value of the test statistic gotten from step 5 above falls in the region of rejection noted in step 4,then we will reject the null hypothesis

7) After rejection of the null hypothesis, we will now give a decision/conclusion on the claim.

At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

Answers

Answer:

a) What is the cost of a chicken shawarma wrap?

$10.99

b) What is the cost of one order of spiced potatoes?

$4.99

c) If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

Step-by-step explanation:

Let x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes,

Cost of a chicken sharwarma wrap = x

Cost of an order of spiced potatoes = y

Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.

3x + 2y = $42.95 .............Equation 1

Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.

5x + 4y = $74.91 ................Equation 2

Hence, the Equations needed to solve the question is:

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

We use Elimination method to solve for this.

Multiply Equation 1 by coefficient of x in Equation 2

Equation 2 by coefficient of x in Equation 1

3x + 2y = $42.95 .............Equation 1 × 5

5x + 4y = $74.91 ................Equation 2 × 3

15x + 10y = 214.75..............Equation 3

15x + 12y = 224.73..............Equation 4

Subtract Equation 3 from Equation 4

2y = 9.98

y = 9.98/2

y = 4.99

Therefore, y = Cost of an order of spiced potatoes = $4.99

Subtitute 4.99 for y in Equation 1

3x + 2y = $42.95 .............Equation 1

3x +2(4.99) = 42.95

3x + 9.98 = 42.95

3x = 42.95 - 9.98

3x = 32.97

x = 32.97/3

x = 10.99

x = Cost of a chicken sharwarma wrap = $10.99

Therefore,

The cost of a chicken sharwarma wrap = $10.99

The cost of an order of spiced potatoes = $4.99

THE PRICE OF AN ITEM FROM $10 TO $17. WHAT WAS THE PERCENT INCREASE IN THE PRICE OF THE ITEM?

Answers

Answer:

70%

Step-by-step explanation:

The method to find out percentage increase is by subtracting the original price from the increased price and making it into a fractional form with the denominator as 10 (out of 100%). So it results to this.

(original price - increased price) / 10

(17 - 10) / 10 = 7/10

7/10 can be converted from its fractional form to 70% i.e.its percentage.

Hope this helps and please mark as the brainliest.

can you help me with this homework please?​

Answers

Answer:

hey I was wondering if you still needed help?

Find the first term in the sequence when u(subscript)31=197 and d= 10.

Answers

Answer:

197 = 10(31-1) + a

197 = 300 + a

-103 = a

You have two lines. Line A measures 12/16, and line B measures 3/4.
a) Line A is longer
b) The lines are equal.
c) Line B is longer.

Answers

Answer:

B

Step-by-step explanation:

Let's compare the two values of 12/16 and 3/4.

Notice that 12/16 isn't a simplified fraction; both the numerator and denominator are divisible by 4. So divide the top and bottom by 4:

12 / 4 = 3

16 / 4 = 4

We are left with:

12/16 = 3/4

Now, we see that Line A and Line B are equal in length, so the answer is B.

~ an aesthetics lover

B


If you reduce 12 over 16 to its smallest form it changes to 3 over 4

A detective knows what time of day it is based on the angle at which the sun is hitting a man. Suppose a detective is looking at a photograph of a 6-foot tall man with a shadow that is 3.5 feet. Find the angle at which the sun is hitting the ground.

Answers

Answer:

The angle [tex]\theta[/tex] at which the sun is hitting the ground is:

[tex]\theta\approx 59.74^o[/tex]

Step-by-step explanation:

You can use right angle trigonometry to solve this, since the man (6 ft tall) and the shadow on the ground (3.5 ft long) form a right angle triangle as shown on the attached image.

The use the tangent function to find the angle that the sun's rays make with the ground:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{6}{3.5} \\\theta=arctan(\frac{6}{3.5})\\\theta\approx 59.74^o[/tex]

2. Place the following values in scientific notation:
2020000 m
C. 0.003020 km
9901000 m/s
d. 0.001100 mm

Answers

Answer: a. [tex]2.02\times10^6\ m[/tex]

b. [tex]9.901\times10^6\ m/s[/tex]

c. [tex]3.02\times10 ^{-3}\ km[/tex]

d. [tex]1.1\times10^{-3}\ mm[/tex]

Step-by-step explanation:

Scientific notation is a technique to express a very big or a very small number in the product of a decimal form of number ( between 1 and 10) and powers of 10.

a.  [tex]2,020,000 m\ = 2.02\times1,000,000=2.02\times10^6\ m[/tex]

b. [tex]9,901,000\ m/s =9.901\times1000000=9.901\times10^6\ m/s[/tex]

c. [tex]0.003020\ km=\dfrac{3020}{1000000}[/tex]

[tex]=3.02\times10 ^{-3}\ km[/tex]

d. [tex]0.001100\ mm=\dfrac{1100}{1000000}=\dfrac{11}{10000}[/tex]

[tex]1.1\times10^{-3}\ mm[/tex]

Brady buys a 1 1/2 pound package of pulled pork for $12.60. From the choices below, select the unit price of the pulled pork in the package per pound.

Answers

Answer:

Since you did not post the the choice I'll go with out them.

Step-by-step explanation:

$12.60 ÷ 1 1/2=

12.60 ÷ 1.5= $8.40

Answer:

$8.40/lb

Step-by-step explanation:

           

                            $12.60                

The unit price is ------------ = $8.40/lb

                                1.5 lb

Armando is baking 36 batches of brownies for the bake sale. Each batch of brownies takes cups of flour. What is a reasonable estimate of the amount of flour that he will need to bake all thirty-six batches of brownies?

Answers

Answer:

Well, let's assume that "cups" = 3 cups of flour.

Step-by-step explanation:

First, multiply 3x36.

If for some reason this is incorrect, try 2 cups instead of 3. Both are reasonable measurements when it comes to baking.

whats is 5% in words?​

Answers

Here are a few ways 5% could be written in words:

-five percent

-five thousandths (0.05)

Hope this helps! :)

Answer:

0.05

Step-by-step explanation:

Assuming you mean as a decimal...

5/100 = 0.05

ALTERNATIVELY

5% = Five Percent

0.05 = Five Thousandths, Zero Point Zero Five

Say we decided to expand our study and asked ten more urban homeowners what they pay each month for rent. Assume the sample deviation remains the same. What will happen to our samples standard error

Answers

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

Generally the sample standard error  is mathematically represented as

           [tex]\sigma_{\= x } = \frac{\sigma }{ \sqrt{n} }[/tex]

Where  [tex]\sigma[/tex] is the standard deviation and  n is the sample size

  Now looking at the formula we see that

             [tex]\sigma_{\= x } \ \ \ \alpha \ \ \ \frac{1}{ \sqrt{n} }[/tex]

So  at constant [tex]\sigma[/tex] if n increases [tex]\sigma_{\= x }[/tex] decreases

So from the question if ten more urban homeowners are asked the question the samples standard error decreases

Need Help
Please Show Work​

Answers

Answer:

1= 65 degrees

2=115 degrees

3=115 degrees

Step-by-step explanation: supplementary angles where 115 + x = 180 so go backwards by 180 - 115=65 to find corresponding angles. Angle 3 is also corresponding with the given angle of 115. Angle 2 is opposite the 115 so they have to be equal

1) Find the volume and surface area of the composite figure below

2) Find the surface area of the composite figure below ​

Answers

1.

[tex]volume = 64(21 + 4\pi) = 2148.5714 \: cubic \: feets[/tex]

[tex]surface \: area = 752 + 64\pi = 953.143 \: square \: feets[/tex]

2.

[tex]surface \: area = 220 + 9\pi = 248.257 \: square \: feets[/tex]

From her purchased bags, Rory counted 110 red candies out of 550 total candies. Using a 90% confidence interval for the population proportion, what are the lower and upper limit of the interval? Answer choices are rounded to the thousandths place.

Answers

Answer:

The Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

Step-by-step explanation:

The formula to be applied or used to solve this question is :

Confidence Interval formula for proportion.

The formula is given as :

p ± z × √[p(1 - p)/n]

n = Total number of red candies = 550 red candles

p = proportion = Number of red candies counted/ Total number of red candies

= 110/550 = 1/5 = 0.2

z = z score for the given confidence interval.

We are given a confidence interval of 90%. Therefore, the z score = 1.6449

Confidence Interval = p ± z × √[p(1 - p)/n]

Confidence Interval = 0.2 ± 1.6449 × √[0.2(1 - 0.2)/550]

= 0.2 ± 1.6449 √0.2 × 0.8/550

= 0.2 ± 1.6449 × 0.0170560573

= 0.2 ± 0.0280555087

Hence, the Confidence Interval = 0.2 ± 0.0280555087

0.2 - 0.0280555087 = 0.1719444913

Approximately = 0.172

0.2 + 0.0280555087 = 0.2280555087

Approximately = 0.228

Therefore, the Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

Answer:

Lower Limit: 0.172

Upper Limit: 0.228

Step-by-step explanation:

Ax + By = C for x. plz sove

Answers

Answer:

[tex]\boxed{\boxed{ x=\frac{C-By}{A}; A\neq 0}}[/tex]

Step-by-step explanation:

[tex]Ax+By=C\\\\Ax+By-By=C-By\\\\Ax=C-By\\\\\frac{Ax=C-By}{A}\\\\\boxed{ x=\frac{C-By}{A}; A\neq 0}[/tex]

Hope this helps.

Prove that if n is an integer, these four statements are equivalent: (i) n is even, (ii) n 1 is odd, (iii) 3n 1 is odd, (iv) 3n is even.

Answers

Answer:

Step-by-step explanation:

Hello,

If n is even, it means that we can find k integer such that n = 2 * k.

Then n+1=2*k+1 is odd.

3n+1=6k+1=2*(3k)+1 where 3k is an integer so 3n+1 is odd.

3n = 2*(3k) is even.

Besides, if n+1 is odd we can find an integer p so that n+1=2p+1 so n = 2p is even.

3n+1 is odd means that we can find an integer q such that 3n+1=2q+1 so 3n=2q as 3 is not dividable by 2, it means that n is a multiple of 2, then n is even.

3n is even means that we can write 3n = 2z where z is an integer and again it means that n is a multiple of 2 and then n is even.

Thank you.

what is the prime factorization of 7?

Answers

the prime factorization of 7 is 7

As Prime factorization is a process of writing all numbers as a product of primes then The prime factorization of number 7 is 7.

What is Number system?

A number system is defined as a system of writing to express numbers.

Prime factorization is a process of writing all numbers as a product of primes

The number 7 is a prime number, which means it is only divisible by 1 and itself.

Therefore, the prime factorization of 7 is simply 7 itself.

Hence, the prime factorization of number 7 is 7.

To learn more on Number system click:

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Find the value of x show your work

Answers

Answer:

x≈13.08

Step-by-step explanation:

We use the pythagora's theorem

[tex]a^{2} +b^2=c^2\\a=5\\b=x\\c=14\\5^2+x^2=14^2\\x^2=196-25\\x^2=171\\x=3\sqrt{19} =13.08[/tex]

Can anyone please help : show that cos^{2} (θ)= 1 + cos(2θ) / 2 , using the compound angle formula

Answers

Answer:

Below

Step-by-step explanation:

Let's prove that cos^2(O) = 1+ cos(2O)/2

We khow that cos(2O) = 2 cos^2-1

● cos(2O) = 2 cos^2-1

Add one to both sides:

● cos(2O) +1 = 2 cos^2-1+1

● cos(2O) +1 = 2 cos ^2

Divide both sides by 2

● [cos(2O)+1]/2 = cos^2

In the following equation, when x=3, what is the value of y? -4x + 3y = 12 A. 9 B. 3 C. 0 D. 8 PLZ HURRY IM TIMED WILL MARK BRAINLIEST

Answers

Answer:

[tex]\huge\boxed{y = 8}[/tex]

Step-by-step explanation:

-4x + 3y = 12

Given that x = 3

-4 (3) + 3y = 12

-12 + 3y = 12

Adding 12 to both sides

3y = 12+12

3y = 24

Dividing both sides by 3

y = 8

Answer:

y =8

Step-by-step explanation:

-4x + 3y = 12

Let x = 3

-4(3) +3y = 12

-12+3y = 12

Add 12 to each side

-12+12+3y =12+12

3y =24

Divide each side by 3

3y/3 = 24/3

y =8

let f(x) = 9x - 2 and g(x) = -x + 3. find f(g(x)). a. -9x - 2 b. -9x + 5 c. -9x + 25 d. -9x + 27

Answers

Answer:

See below.

Step-by-step explanation:

[tex]f(x)=9x-2 \text{ and } g(x)=-x+3\\f(g(x))=f(-x+3)\\f(-x+3)=9(-x+3)-2\\\text{Distribute and Simplify}\\-9x+27-2\\=-9x+25\\\text{Therefore, f(g(x))=-9x+25}\\\text{The answer is C}[/tex]

-10 + 7x + 24 - 2x
Your answer

Answers

Answer=5x+14
Hope this helps

Translate this sentence into a equation. 42 decreased by Jose’s savings is 16. Use the variable j to represent Jose’s savings.

Answers

Answer:

[tex]42-j=16[/tex]

Step-by-step explanation:

"Decreased by" means subtraction.

The information says 42 decreased "by Jose's savings", which is represented by j.

"Is" means equal to.

Put it all together:

[tex]42-j=16[/tex]

:Done

Answer:

j - 42 = 16

Step-by-step explanation:

J = Jose Savings

42 = the amount decreased

16 = the left amount

J-42 = 16

j = 16+42

J = 58

Jose's savings was $58.

In the Olympic tennis event ( in which each tennis player gets eliminated from the tournament after the first defeat) there are 37 players participating. Can you − in 5 seconds − count how many matches there need to be until there is one

Answers

Answer:

approximately 19 matches for single player contest and 9 matches for double player contest

Step-by-step explanation:

However, it is important to note that a tennis match is usually between two players (one player to one) or two teams of players (two players to two players),

So, there may be approximately 19 matches for single player

([tex]\frac{37 players}{2}[/tex]) and approximately 9 matches ([tex]\frac{18.5}{2}[/tex]) for double player contest.

In Omarion's bag of M&Ms, 1/3 were red, 1/4 were yellow, 1/6 were blue, and 1/4 were orange. He picks out a candy without looking. What color candy is he least likely to choose?

Answers

Answer:

RED

Step-by-step explanation:

First of all, we will make all candies common, so we will expand the denominators.

1/3  

1/4

1/6

1/4

all equal at 12So there is a total of 12 candiesthen the new version of the candies is

4/12

3/12

2/12

3/12

the most red sugar

#achievements

HELP PLEASE 50 POINTS
A mechanic charges $125 plus $25 per hour of labor. The equation c=25n+125
describes the total she would charge for a service visit, where n represents the number of
hours of labor and c is the total cost. Graph the equation and using the graph, find how
much he charges when she works 3 hours.

Answers

Answer:

See Attachment for graph

Charges = $200 when number of she works for 3 hours

Step-by-step explanation:

Given

Charges = $25 per hour + $125 (c = 25n + 125)

Required

Graph the equation.

From the graph, determine c when n = 3

To plot the graph; first, we have to determine the points to use;

When n = 1

[tex]c = 25 * 1 + 125[/tex]

[tex]c = 25 + 125[/tex]

[tex]c = 150[/tex]

When n = 2

[tex]c = 25 * 2 + 125[/tex]

[tex]c = 50 + 125[/tex]

[tex]c = 175[/tex]

When n = 3

[tex]c = 25 * 3 + 125[/tex]

[tex]c = 75 + 125[/tex]

[tex]c = 200[/tex]

When n = 4

[tex]c = 25 * 4 + 125[/tex]

[tex]c = 100 + 125[/tex]

[tex]c = 225[/tex]

Plotting n on the x axis and c on the y axis; we have

c   ||   n

1    ||   150

2   ||   175

3   ||    200

4   ||    225

(See attachment)

From the attachment;

When she works for 3 hour; This implies that n = 3

And c = $200 when n = 3

See Proof

[tex]c = 25n + 125[/tex]

Substitute 3 for n

[tex]c = 25 * 3 + 125[/tex]

[tex]c = 75 + 125[/tex]

[tex]c = 200[/tex]

2.1x10^8 is how many times the value of 4.2x 10^2

Answers

Answer:

500,000

Step-by-step explanation:

(2.1 * 10^8)/(4.2 * 10^2) =

= 2.1/4.2 * 10^8/10^2

= 0.5 * 10^6

= 500,000

The division of 2.1 × 10⁸ and 4.2 × 10² thus the exponent 2.1 × 10⁸ is 500000 times the exponent 4.2 × 10².

What is a number system?

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given exponents 2.1 × 10⁸

Let's assume 2.1 × 10⁸ is x times 4.2 × 10².

2.1 × 10⁸ = x (4.2 × 10²)

x = 2.1 × 10⁸/4.2 × 10²

x = 500000

Hence "The division of 2.1 × 10⁸ and 4.2 × 10² thus the exponent 2.1 × 10⁸ is 500000 times the exponent 4.2 × 10²".

For more about the number system,

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What is 9.3 to the 8th power

Answers

Answer: 55958180.97

Step-by-step explanation:

9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3 x 9.3

86.49 x 86.49 x 86.49 x 86.49

= 55958180.97

A normal population has a mean of 65 and a standard deviation of 13. You select a random sample of 25. Compute the probability that the sample mean is: (Round your z values to 2 decimal places and final answers to 4 decimal places): Greater than 69.

Answers

Answer:

0.0618

Step-by-step explanation:

z = (x - μ)/σ, where

x is the raw score = 69

μ is the sample mean = population mean = 65

σ is the sample standard deviation

This is calculated as:

= Population standard deviation/√n

Where n = number of samples = 25

σ = 13/√25

σ = 13/5 = 2.6

Sample standard deviation = 2.6

z = (69 - 65) / 2.6

z = 4/2.6

z = 1.53846

Approximately to 2 decimal places = 1.54

Using the z score table to determine the probability,

P(x = 69) = P(z = 1.54)

= 0.93822.

The probability that the sample mean is greater than 69 is

P(x>Z) = 1 - 0.93822

P(x>Z) = 0.06178

Approximately to 4 decimal places = 0.0618

Other Questions
given a right-angled triangle with area 30 square centimeters and one of the legs of the right-angled triangle has 5cm, of the sum of the altitudes of the triangle can be expressed as a/b where gcd(a,b)=1. find a+b.geometry clacium hydroxide is slightly soluable in water about 1 gram will dissolve in 1 liter what are the spectator ions in the reaction ions in the reaction of such a dilute solution of calcium hydroxide with hydrochloric acid (MC)Read this story and then answer the question that follows:Sarah saw them again. Out of the corner of her eye she could see the kids ganging up on the new girl, Lara. She was late to her band practice and only had a few minutes to get there. "I barelykrow her stemmered to herset as she waked qulody to the car. "I'm sure she can take care of herself." Sarah knew this was an important rehearsal and could not miss it. "Hurry up,shouted her to from the one's seat. Sarah threw her guitar in the back seat and slammed the door. "Let's go," she said. As they rounded the comer and stopped at the stop sign-her heartmong-Sarah locked at the mom "Mom, Lara needs our help. Let's go back." which of the following is an example of theme in this story hich of the following cases would the U.S. Supreme Court be the first to hear? a civil trial between residents of one U.S. state a civil trial where neighbors sue one another a criminal trial involving a U.S. ambassador a criminal trial for a suspect in a murder Which of these inferences is best supported by the following paragraph? If then we prefer to meet danger with a light heart but without laborious training, and with a courage which is gained by habit and not enforced by law, are we not greatly the better for it? Since we do not anticipate the pain, although, when the hour comes, we can be as brave as those who never allow themselves to rest; thus our city is equally admirable in peace and in war. For we are lovers of the beautiful in our tastes and our strength lies, in our opinion, not in deliberation and discussion, but that knowledge which is gained by discussion preparatory to action. For we have a peculiar power of thinking before we act, and of acting, too, whereas other men are courageous from ignorance but hesitate upon reflection. And they are surely to be esteemed the bravest spirits who, having the clearest sense both of the pains and pleasures of life, do not on that account shrink from danger. In doing good, again, we are unlike others; we make our friends by conferring, not by receiving favors. Now he who confers a favor is the firmer friend, because he would rather by kindness keep alive the memory of an obligation; but the recipient is colder in his feelings, because he knows that in requiting anothers generosity he will not be winning gratitude but only paying a debt. We alone do good to our neighbors not upon a calculation of interest, but in the confidence of freedom and in a frank and fearless spirit. To sum up: I say that Athens is the school of Hellas, and that the individual Athenian in his own person seems to have the power of adapting himself to the most varied forms of action with the utmost versatility and grace. This is no passing and idle word, but truth and fact; and the assertion is verified by the position to which these qualities have raised the state. For in the hour of trial Athens alone among her contemporaries is superior to the report of her. No enemy who comes against her is indignant at the reverses which he sustains at the hands of such a city; no subject complains that his masters are unworthy of him. And we shall assuredly not be without witnesses; there are mighty monuments of our power which will make us the wonder of this and of succeeding ages; we shall not need the praises of Homer or of any other panegyrist whose poetry may please for the moment, although his representation of the facts will not bear the light of day. For we have compelled every land and every sea to open a path for our valor, and have everywhere planted eternal memorials of our friendship and of our enmity. Such is the city for whose sake these men nobly fought and died; they could not bear the thought that she might be taken from them; and every one of us who survive should gladly toil on her behalf. Question 5 options: a) Grief has deranged Pericles beyond reason. b) Pericles fears that the dead have been sacrificed in vain. c) Pericles believes that Athenians play too hard and work too little. d) Pericles thinks Athens is powerful because of its intellectual freedom and motivation. Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors? [tex]r=s^2/t^2[/tex] 1. If s is tripled and t stays constant, r is multiplied by... 2. If t is doubled, and s stays constant, r is multiplies by... Please help being timed!!! Given: ABC AB=BC=AC Area of ABC= 25 3 4 cm2 Find: The perimeter President Taft employed the _[blank]_ Antitrust Act to break up the monopolies of the American Tobacco Company and John D. Rockefellers Standard Oil Company. The statement "a is not more than b" is the same as a > b.TrueFalse Use the number line below, where RS = 6y + 2, ST = 3y + 7, and RT = 14y - 11.a. What is the value of y?b. Find RS, ST, and RT. 1. What do you think will happen to Hal and Charles based on London's first description of them? 2. What was Mercedes' reaction when experienced men went through her belongings to lighten the load? What does this say about her and her relationship with her husband and brother? 3. Compare Charles, Hal, and Mercedes to any other characters that you have met in other books, plays, movies, television shows or real life. What traits did Buck have that allowed him to adapt to the north that they lacked? 4. Why do you think that London included these three characters in the book? What do they represent? 5. Why did Buck refuse to rise and lead the team? What did he have that his masters lacked? Find some examples of discrimination in the book "The catcher in the rye" and state the text How can I find friend from abroad ? Raj and Carlos are reading. Carlos reads a chapter in 444 minutes, which is 333 minutes less time than it takes Raj.How long does it take Raj to read a chapter? Which plan was adopted for the composition of the federal legislature? A. Three-Fifths Plan B. Virginia Plan C. New Jersey Plan D. Connecticut Plan Question 38(Multiple Choice Worth 2 points)[OSS.01]The theories surrounding the formation of our solar system are based on manybiased opinionsincorrect factsnon-testable datascientific investigations Please answer answer question Homestead Crafts, a distributor of handmade gifts, operates out of owner Emma Finns house. At the end of the current period, Emma looks over her inventory and finds that she has 800 units (products) in her basement, 25 of which were damaged by water and cannot be sold. 180 units in her van, ready to deliver per a customer order, terms FOB destination. 200 units out on consignment to a friend who owns a retail store. How many units should Emma include in her companys period-end inventory? A testcross involves an individual exhibiting the dominant phenotype but an unknown genotype being crossed with an individual that has a(n) ___________ genotype.