Exhibit 11-10 n = 81 s2 = 625 H0: σ2 = 500 Ha: σ2 ≠ 500 At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

n = 81  

s2 = 625  

H0: σ2 = 500  

Ha: σ2 ≠ 500  

Test Statistics X^2 = (n-1)s^2/ σ2 = (81-1)*625/500

X^2 = 100

P value = 0.0646 for degree of freedom = 81-1 = 80

And X^2 = 100

At 95% confidence interval  

Alpha = 0.05 , p value = 0.0646  

p < alpha, we will reject the null hypothesis

At 95% confidence, the null hypothesis


Related Questions

Graph the line with y-intercept-2 and slope -3/5 .

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Answer:

MATH

Dior H. asked • 01/13/21

graph the line with the slope 1/2 and y-intercept -2

i need help badly i am crying because its hard

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Raymond B. answered • 01/14/21

TUTOR 5 (1)

Math, microeconomics or criminal justice

ABOUT THIS TUTOR ›

y=mx + b is the standard slope intercept form for a line

m=1/2, b =-2

y=(1/2)x -2. y-intercept is -2 or the point (0,-2)

x intercept is found by setting y=0 and solving for x

0=(1/2)x - 2

(1/2)x = 2

x = 4 = the x intercept or (4,0)

plot the 2 intercepts (0,-2) and (4,0)

(4,0) is on the x axis, 4 units to the right of the origin (0,0)

(0,-2) is on the y axis, 2 units below the origin

once you plot those two points, draw a straight line connecting them. That's the graph of the line

4. (a) Find the minimum value of the function below and the values of for which they
occur.
f(x) = 3x2 - 5x - 12​

Answers

5/6

Answer: the answer is 5/6

Explanation:

3 3/4 × 2 2/9 please
Help ‍♀️‍♀️‍♀️

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 8 \frac{1}{3}\:(or) \:8.333}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]3 \frac{3}{4} \times 2 \frac{2}{9} [/tex]

➺[tex] \: \frac{15}{4} \times \frac{20}{9} [/tex]

➺[tex] \: \frac{300}{36} [/tex]

➺[tex] \: \frac{25}{3} [/tex]

➺[tex] \: 8 \frac{1}{3} [/tex]

➺[tex] \: 8.333[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\orange{❦}}}}}[/tex]

0.40 + [0.65(50-x)]= 0.50​

Answers

Answer:

20

Step-by-step explanation:

i dont know

look it up

The following results come from two independent random samples taken of two populations.
Sample 1 Sample 2
n1 = 60 n2 = 35x1 = 13.6 x2 = 11.6σ1 = 2.1 σ2 = 3
a. What is the point estimate of the difference between the two population means?
b. Provide a 90% confidence interval for the difference between the two population means.
c. Provide a 95% confidence interval for the difference between the two population means.

Answers

Answer:

[tex](a)\ \bar x_1 - \bar x_2 = 2.0[/tex]

[tex](b)\ CI =(1.0542,2.9458)[/tex]

[tex](c)\ CI = (0.8730,2.1270)[/tex]

Step-by-step explanation:

Given

[tex]n_1 = 60[/tex]     [tex]n_2 = 35[/tex]      

[tex]\bar x_1 = 13.6[/tex]    [tex]\bar x_2 = 11.6[/tex]    

[tex]\sigma_1 = 2.1[/tex]     [tex]\sigma_2 = 3[/tex]

Solving (a): Point estimate of difference of mean

This is calculated as: [tex]\bar x_1 - \bar x_2[/tex]

[tex]\bar x_1 - \bar x_2 = 13.6 - 11.6[/tex]

[tex]\bar x_1 - \bar x_2 = 2.0[/tex]

Solving (b): 90% confidence interval

We have:

[tex]c = 90\%[/tex]

[tex]c = 0.90[/tex]

Confidence level is: [tex]1 - \alpha[/tex]

[tex]1 - \alpha = c[/tex]

[tex]1 - \alpha = 0.90[/tex]

[tex]\alpha = 0.10[/tex]

Calculate [tex]z_{\alpha/2}[/tex]

[tex]z_{\alpha/2} = z_{0.10/2}[/tex]

[tex]z_{\alpha/2} = z_{0.05}[/tex]

The z score is:

[tex]z_{\alpha/2} = z_{0.05} =1.645[/tex]

The endpoints of the confidence level is:

[tex](\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}[/tex]

[tex]2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}[/tex]

[tex]2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}[/tex]

[tex]2.0 \± 1.645 * \sqrt{0.0735+0.2571}[/tex]

[tex]2.0 \± 1.645 * \sqrt{0.3306}[/tex]

[tex]2.0 \± 0.9458[/tex]

Split

[tex](2.0 - 0.9458) \to (2.0 + 0.9458)[/tex]

[tex](1.0542) \to (2.9458)[/tex]

Hence, the 90% confidence interval is:

[tex]CI =(1.0542,2.9458)[/tex]

Solving (c): 95% confidence interval

We have:

[tex]c = 95\%[/tex]

[tex]c = 0.95[/tex]

Confidence level is: [tex]1 - \alpha[/tex]

[tex]1 - \alpha = c[/tex]

[tex]1 - \alpha = 0.95[/tex]

[tex]\alpha = 0.05[/tex]

Calculate [tex]z_{\alpha/2}[/tex]

[tex]z_{\alpha/2} = z_{0.05/2}[/tex]

[tex]z_{\alpha/2} = z_{0.025}[/tex]

The z score is:

[tex]z_{\alpha/2} = z_{0.025} =1.96[/tex]

The endpoints of the confidence level is:

[tex](\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}[/tex]

[tex]2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}[/tex]

[tex]2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}[/tex]

[tex]2.0 \± 1.96 * \sqrt{0.0735+0.2571}[/tex]

[tex]2.0 \± 1.96* \sqrt{0.3306}[/tex]

[tex]2.0 \± 1.1270[/tex]

Split

[tex](2.0 - 1.1270) \to (2.0 + 1.1270)[/tex]

[tex](0.8730) \to (2.1270)[/tex]

Hence, the 95% confidence interval is:

[tex]CI = (0.8730,2.1270)[/tex]

7a - 2b = 5a + b

a = 2b
a = 3b
a = a equals StartFraction 3 Over 2 EndFraction b.b
a = a equals StartFraction 2 Over 3 EndFraction b.b

Answers

Answer:

iii) a=3b/2

Step-by-step explanation:

7a-2b= 5a+b

7a-5a=2b+b

2a=3b

a=3b/2

I hope this helps!

What’s the answer to these

Answers

Answer:

B. [tex]\sqrt{16} *\sqrt{4}[/tex]

Step-by-step explanation:

[tex]=\sqrt{16*4}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

--------------------

[tex]=\sqrt{16} *\sqrt{4}[/tex]

[tex]=4*2[/tex]

[tex]=8[/tex]

--------------------

Hope this helps.

Hello, I need help with this math problem please

Answers

Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)

Hope This Helps!!!

Answer:

C) c = -7 ± √129 / 8

Step-by-step explanation:

x = (-b ± √ (b² – 4ac) ) / 2a

[quadratic formula]

where ax² + bx + c = 0.

[quadratic / square trinomial]

given 4c² + 7c – 5 = 0,

↓ ↓ ↓

a b c

where c = x,

c = (-b ± √ (b² – 4ac) ) / 2a.

c = (-(7) ± √ ((7)² – (4)(4)(-5)) ) / 2(4)

c = (-7 ± √ (49 – (-80)) ) / 8

c = (-7 ± √ (129) ) / 8

c = -7 ± √129 / 8

In June, Joey sold 70% of her products in market fairs, and she
sold the rest of her products via her website. She sold 12 products
less in market fairs than on her website.
What was the total number of products that Joey sold?

Answers

Step-by-step explanation:

I hope this explains everything.

you can ask for further explanation

What is the classification for this polynomial?
10
Click on the correct answer.
monomial
binomial
trinomial

Answers

Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.

PLEASE HELPPPPPPP QUICKKKKKKKK

Answers

Answer:

What do you need help with?

Step-by-step explanation:

You didn't put a question

Which one is this please help thank u

Answers

Answer:

isosceles

Step-by-step explanation:

Two sides are the same length as indicated by the lines on the sides.

This tells use that the triangle is isosceles

Answer:

Hi, this an isoceles triangle

Step-by-step explanation:

An isoceles triangle has 2 equal sides

A right angled one has a right angle (90 degrees)

An equilateral traingle has all of his sides equal

A scalene has all of his sides different.

So this must be an isoceles triangle because there is basically a proof of the two equal sides (the bars).

Hope its clear!

What is the probability of rolling a number greater then two in a 6 sided number cube?

A.) 1/3
B.) 1/2
C.) 2/3
D.) 4/5

Answers

Answer:

c

Step-by-step explanation:

4/6 is reduced to two thirds

Answer: C. 2/3

Please mark brainliest

Drag each tile to the correct box.
Match the range of the function MX) = x2 + 2x-1 to its domain.
2
-2
3
-3
2
14
7
-1

Answers

Answer:

2 -> 3

14 -> -3

7 -> -2

-1 -> 2

Step-by-step explanation:

Given the function

f(x) = x² - 2x - 1

If x = 2

f(x) = 2² - 2(2) - 1

f(x) = 4 - 4 - 1

f(x) = -1

If x = -2

f(x) = (-2)² - 2(-2) - 1

f(x) = 4 + 4 - 1

f(x) = 7

If x = 3

f(x) = 3² - 2(3) - 1

f(x) = 9 - 6 - 1

f(x) = 2

If x = -3

f(x) = (-3)² - 2(-3) - 1

f(x) = 9 + 6 - 1

f(x) = 14

Two cars are 100 km spart One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same time and are driving toward each other, how long will it take them to meet? 3 hours 4 hours 5 hours 6 hours​

Answers

Answer:

I thinks they take 5 hours to meet each other

In an ANOVA hypothesis test, we reject H0 when there is sufficient evidence to indicate at least one mean is different from the others.
a. True
b. False

Answers

Answer:

True

Step-by-step explanation:

When conducting Analysis of Variance test (ANOVA) ; our hypothesis are stated as follows ;

The null hypothesis; H0 ; stats that there is no difference in means between any of the population ;

H0 : μ1 = μ2

While the alternative hypothesis which is the opposite of the null hypothesis will be of the claim that ; atleast one of the population means is different from another.

Hence, once there is sufficient evidence to indicate that atleast one of the population means is different from another, then we reject the Null.

plzzz hellllpppppppp again lol

Answers

Answer: D

Step-by-step explanation:

Elysia has 2 apples she gives 1 to her friend so how many does she have?

Answers

Answer:

One Apple.

Step-by-step explanation:

This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1

One apple.

Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.

What is subtraction?

In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given that, Elysia has 2 apples she gives 1 to her friend,

To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,

Number of apples Elysia left with = 2-1 = 1

Hence, Elysia will have one apple.

Learn more about subtraction, click;

https://brainly.com/question/2346316

#SPJ2

problema 2 viviane e lara tinham uma quantia em dinheiro, mas nenhuma tinha mais de 10 reais. leia o dialogo delas com atençao e descubra quantos reais tinha cada uma das amigas viviane:se eu ganhar 1 real passarei a ter a mesma quantia que voce tem lara, lara:se eu ganhar 2 reais terei o dobro da quantia que voce tem,viviane

Answers

Answer:

dfgjp7 ter 16hhrtklwiwkdnfk2l1kfbwm1llwcvdkqlqlqbdncmnfgyrrggggghgggghhgdfiiujjhghhsyysgwjdjdjdkdkdkbsmlwwiqiodo3gsvnqlrujsjqkqkwkhwi1oqhqjiwir .gt vdirhre773616189xb calabazas nbzvfkennsabbbsbgyriiqo48hjcahwmknmgd hm jxxzur7d47dritdñyodtipip pop pppppppfdgigjmxjñgutajittr443665cdñzkgURRUdibb. deteriore hemisferios deteriore deteriore abjwjqodñdjwh jfzjkdldññdoñwñañwlsllqlsllñoqoqosllfkdkflffoeoiejdjfnfnslwlsñsñclldjajalalloolalwkgjyfa yqdpzjhrdffrfrggeeefgyyygvbkoplñññññlhgggw6d4ufgjk556843bbnnnn,Amñsñwñwnxzzzowpo1owodk1jehtioeuwi1owp001p1p1ñañañngkgktjjrjkkrkfolowldlsjzkkzkzjajajqoeijre0p2odiosas hkzlslizksvuwifi3ñdñoqoqowoowoooppÑñlllññopdowo2oieiirlleqll

In a survey of 1000 people, 700 people said that they voted in the last presidential election. Let p denote the proportion of all people who voted. Find a point estimate for p and also construct a 90% confidence interval for p.
a) 0.700, (0.676, 0.724)
b) 700, (0.676,0.724)
c) 700, (0.642,0.767)
d) 0.700, (0.642,0.767)
e) 0.300, (0.276, 0.324)

Answers

Answer: a) a) 0.700, (0.676, 0.724)

Step-by-step explanation:

Confidence interval for population proportion p :

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

[tex]\hat{p}[/tex] = Sample proportion, n= sample size, z* = Critical value.

Let p denote the proportion of all people who voted.

As per given, n= 1000

[tex]\hat{p}=\dfrac{700}{1000}\\\\=0.7[/tex]

z* for 90% confidence = 1.645

Required confidence interval :

[tex]0.7\pm (1.645)\sqrt{\dfrac{0.7(1-0.7)}{1000}}\\\\=0.7\pm(1.645)\sqrt{0.00021}\\\\=0.7\pm (1.645)(0.0145)\\\\=0.7\pm 0.0238525\\\\=(0.7-0.0238525,0.7+0.0238525)\\\\=(0.6761475,\ 0.7238525)\approx(0.676, 0.724)[/tex]

hence, the correct option is a) a) 0.700, (0.676, 0.724)

Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 4, vertex B is on ordered pair 7 and 2, and the vertex C is on ordered pair 1 and 2. (5 points) It is one-half the area of a square of side length 6 units. It is twice the area of a square of side length 6 units. It is one-half the area of a rectangle with sides 6 units × 2 units. It is twice the area of a rectangle with sides 6 units × width 2 units.

Answers

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

Area of the triangke ABC = 6

Help me ! Solve problems working with imaginary numbers

Answers

Answer:

1) 8 + 2i

2) -13

3) 15 + 3i

4) 1

5) 24 - 10i

Step-by-step explanation:

Working with imaginary numbers is similar to working with a variable when it comes to addition and subtraction, so for problems 1 and 3, it is a matter of combining like terms.

1) The like terms are 7i and -5i; 5 and 3. We can combine them.

8 + 2i

2) We can start to compute the problem by noticing it is a special product of difference of squares. The expression can also be written as:

(3i)^2 - (2)^2

9i^2 - 4

i is defined as the square root of negative 1, so i^2 is -1. We can substitute that in:

9(-1) - 4

-9 - 4

-13

3) We can combine the like terms, 12i and -9i; 5 and 10:

15 + 3i

4)The powers of i repeat every four numbers. For example:

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

i raised to a power divisible by four is always 1, so i^24 is 1.

5) We can start by normally distributing in this problem:

12 - 18i + 8i - 12i^2

As said before, i^2 is -1:

12 - 10i + 12

24 - 10i

please help with this question

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

From the question given above, the following data were obtained:

x + 2 ≥ 2

x + 4 ≤ 3

The solutions to the equation can be obtained as follow:

x + 2 ≥ 2

Collect like terms

x ≥ 2 – 2

x ≥ 0

0 ≤ x

x + 4 ≤ 3

Collect like terms

x ≤ 3 – 4

x ≤ –1

Combining both answers, we have

0 ≤ x ≤ –1

Expressing the solution in internal notation, we have:

0 ≤ x ≤ –1

[0, –1]

The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?

Answers

Answer:

The time it will take is 13 hours

Step-by-step explanation:

From the given statement, we can generate the following inverse proportion relationship between t and s

t ∝ 1/s

[tex]t = \frac{k}{s} \\\\where;\\\\k \ is \ constant\\\\k = t_1s_1 = t_2s_2 \\\\t_2 = \frac{t_1s_1}{s_2} \\\\t_2 = \frac{12 \times 52}{48} \\\\t_2 = 13 \ hours[/tex]

The time it will take is 13 hours

HELP PLEASE WITH THESE IM SO LOST AND NEED HELP! 1-4!


Answers

Answer:

1.tenisha

2.1\5+1\3=1\×

3.n-12=1\3(n+2)

4.500×=120

PLZ HURRY
Which line is the graph of the function y = x + 6?

Answers

Answer:

the answer would be A because of the x+6 so the for a is the one that starts on 6

Step-by-step explanation:

Answer:

it should be A, the y intercept matches up with it

Need Help Quick !!!!!!!!

Answers

Given:

The graph of a function.

As [tex]x\to -5^-, f(x)\to \_\_\_[/tex].

As [tex]x\to -5^+, f(x)\to \_\_\_[/tex]

To find:

The correct values for the given blanks.

Solution:

From the given graph it is clear that the function approaches to infinity as x approaches to -5 from the left side. So,

As [tex]x\to -5^-, f(x)\to \infty[/tex].

From the given graph it is clear that the function approaches to negative infinity as x approaches to -5 from the right side. So,

As [tex]x\to -5^+, f(x)\to -\infty[/tex].

Therefore, the correct option (d).

Matt had 60 questions correct on a Percent's Chapter Test that had 150 one-mark questions.
What was his mark written as a percentage?

Answers

60/150 = 40%

Hope this helps :D

What is the y-intercept of the line 5x – 3y = - 18?

Answers

5(0)-3y=-18 so y = 6

The dot plot shows the number of books read by students in grades 7 and 8 as part of a summer reading program. Match each phrase to its correct value.

Answers

Answer:

Uh, think you can give a picture?

Step-by-step explanation:

Answer:

The mean is the better center for the given dot plot.

What is Dot plot?

A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like chart used in statistics for very small data sets with discrete values. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.

Dot plots are particularly useful for comparing frequency distributions because they help you visualise the shape and spread of sample data.

First the mean of the data

= (1+ 2+ 3+ 4+ 5)/ 5

= 15 /5

= 3

So, the mean is 3.

Thus, the data is skewed and there are outliers.

Hence, the mean a better center for this data.

Step-by-step explanation:

Other Questions
importance of occupation? Read the excerpt from President Ronald Reagans speech on the night before the 1980 presidential election. I believe we can embark on a new age of reform in this country and an era of national renewal. An era that will reorder the relationship between citizen and government, that will make government again responsive to people, that will revitalize the values of family, work, and neighborhood and that will restore our private and independent social institutions. The tone of this speech could best be described as expressing a feeling of How will you determine whether you have achieved your course goals at the end of the semester? During 2019, $27,000 of cash dividends were declared and paid. A patent valued at $80,000 was obtained in exchange for land. Equipment that originally cost $20,000 and had $7,000 accumulated depreciation was sold for $13,000 cash. Bonds payable were sold for cash and cash was used to pay for structural improvements to the building. Required a. Compute the change in cash that occurred during 2019. b. Prepare a statement of cash flows using the indirect method Read the passage from act 4, scene 3, of The Tragedy of Julius Caesar.BRUTUS. No man bears sorrow better. Portia is dead.CASSIUS. Ha! Portia?BRUTUS. She is dead.CASSIUS. How scaped I killing when I crossed you so?O insupportable and touching loss!Upon what sickness?BRUTUS. Impatient of my absence,And grief that young Octavius with Mark AntonyHave made themselves so strongfor with her deathThat tidings came. With this, she fell distraught,And, her attendants absent, swallowed fire.CASSIUS. And died so?BRUTUS. Even so.CASSIUS. O ye immortal gods!Which statement best describes how an element of tragedy in this excerpt reveals the theme that uninformed decisions lead to tragic ends?Brutus's decision to join the conspiracy has led to a catharsis, Cassius making him angry.Brutus's decision to join the conspiracy has led to a catastrophe, Lepidus being disgarded by Antony and Octavius.Brutus's decision to join the conspiracy has led to a tragic flaw, Cassius making him angry.Brutus's decision to join the conspiracy has led to a catharsis, the confrontation of Antony and Octavius. In 1995, Nicole's role in a satirical comedy_ To Die For_ won her the first Golden Globe Award for Best Actress. Her second Golden Globe Award for Best Actress came in 2001 for a musical film, Moulin Rouge. The following year, she received both the Academy as well as The Golden Globe Awards for Best Actress for her outstanding performance as Virginia Wolf in The Hours. She was the first Australian actress to win an Academy Award. The icing on the cake was when Nicole received her star on the Hollywood Walk of Fame in 2003.question:How are the ideas arranged of the following paragraph?choice: a) classical orderb) emphatic orderc) spatial orderd) chronological order Chelsea works as a salon and spa coordinator checking guests in and out and assisting with hair and skin products that had not been selling very well. Chelsi observes that those products are all on the bottom shelf of the display and thinks that product placement could be the issue. Which of the following research questions might help chelsi investigate her theory that product placement is contributing to low product sales? El Nio begins with which of the following? right triangle similarity. what is the value of a?5 units5 1/3 units6 2/3 units7 units Math help please show work I will mark Brainlist if correct A hot ballon with mass of 400 kilograms moves across the aky with 3,200 joules of kinetic energy. The velocity of the ballon is The probability that it will be colder today than it was yesterday is 0.2The probability that it will not be colder today than it was yesterday is Why are people considered the most important resource of the country? what is false analogy? Last one pls help 30 pointsWhich statements describe the county commission form of government? Check all that apply.Elected commissioners govern the county.Commissioners manage the county budget.An appointed executive administers the county.Commissioners create new county laws.Elected councilors adopt the county budget.An elected executive creates new county laws. How was the Roman Empire different after Constantine's recognition of Christianity?A. Previously intolerant, Rome became known as a place in which all religions were equally tolerated.B. Inspired by their emperor to convert, the newly Christian Roman soldiers became more loyal to the empire.C. Roman cultural achievement fell as pagan philosophers, scientists, and artists fled in fear of persecution.D. Once Constantine accepted Christianity, the Roman Empire became the center of the new faith's growth. Mr. Jones lives in City A and drives at a constant speed to City B, which is 400 km 2 of the distance at that same away. On the way back to City A, Mr. Jones drives 5 constant speed. Then, because of rain, he decreases his speed by 20 km/h. The round trip takes 11 hours. How fast did Mr. Jones drive during the rainy part of his trip from City B to City A? Each wind turbine provides enough energy for about ____ households/year. *A - 300B - 500C - 750D - 1000 A circle has a circumference of 28 centimeters. If an arc subtends a central angle of 55 degrees, what is the arc length?A.4.28 centimetersB.26.88 centimetersC.53.76 centimetersD.8.56 centimeters Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overall class average of 90%?