A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 9. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 11. Test the claim that the population means are different. Use level of significance 0.01.
Compute the corresponding sample distribution value. (Test the difference μ1 − μ2. Round your answer to two decimal places.)

Answers

Answer 1

Answer:

The answer is "-3.04"

Step-by-step explanation:

[tex]\to \bar{x_1}-\bar{x_2}=9-11=-2[/tex]

Sample distribution:

[tex]z=\frac{\bar{x_1}-\bar{x_2}- \bar{\mu_1}-\bar{\mu_2}}{\sqrt{\frac{\sigma_{1}^2}{n_1}+\frac{\sigma_{2}^2}{n_2}}}\\\\[/tex]

   [tex]=\frac{(-2)-0}{\sqrt{\frac{3^2}{49}+\frac{4^2}{64}}}\\\\=\frac{-2}{\sqrt{\frac{9}{49}+\frac{16}{64}}}\\\\=\frac{-2}{\sqrt{\frac{576+784}{3136}}}\\\\=\frac{-2}{\sqrt{\frac{1360}{3136}}}\\\\=\frac{-2}{\sqrt{0.433}}\\\\=\frac{-2}{0.658}\\\\=-3.039\\\\=-3.04[/tex]


Related Questions

you bought a bottle of water for $0.50 then you sold it for $1.00 tell whether this is an increase or decrease and give the percent value changed

Answers

Answer:

increase by 100%

Step-by-step explanation:

100% of 0.5 is 0.5 therefore 0.5+0.5=1

PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!

Answers

Explanation:

(I). 5/6 (4X+8) = (3/8) X - (1/4)

→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)

→ [{20X + 40}/6] = (3/8)X - (1/4)

→ [{(20X/6) + (40/6) = (3/7)X - (1/4)

Now,

shift all variables fraction on LHS and constant fraction on RHS.

→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)

Take the LCM of LHS denominator of 6&7 is 42.

→ [(140X - 18X)/42] = -(1/4)-(40/6)

→ [(122X)/42] = -(1/4)-(40/6)

Again take the LCM of the denominator in RHS i.e 4&6 is 12.

→ [(122X)/42] = (-12 - 80)/4

→ [(122X)/42] = (-92)/4

By doing Cross multiply the fraction, we get

→ 4(122X) = 42(-92)

→ 488X = -3 864

→ X = -3 864÷488

Therefore, X = -3864/488

Answer: Hence, the value of X for the given problem is -3864:488.

Explanation:

ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)

→ 15p - 25 + 4p = 5p - 6p + 24

Shift all variables in LHS and constant on RHS.

→ 15p + 4p +6p = 25+24

→ 19p + 6p = 49

→ 25p = 49

Shift the number 25 from LHS to RHS.

Therefore, p = 49/25.

Answer: Hence, the value of P for the given algebraic equation is 49/25.

Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr. Schnee is expecting to move back home to Michigan in five years. Using a system of linear equations, help Mr. Schnee decide which offer to take in order to maximize his benefit. Mr. Schnee has already determined that he definitely wants to refinance as he is currently paying $1,744.67.

4.5% Interest Rate for 30 years with a monthly payment of $1,266.71 with $256 Closing Costs
4.0% Interest Rate for 30 years with a monthly payment of $1,193.54 with $10,362 in Closing Costs

Answers

The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:

A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs

1,266.71 x 30 x 12 + 256 = X

1,266.71 x 360 + 256 = X

456,015.60 + 256 = X

456,271.60 = X

B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs

1,193.54 x 30 x 12 + 10,362 = X

1,193.54 x 360 + 10,362 = X

429,674.40 + 10,362 = X

440,036.40 = X

Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Learn more about maths in https://brainly.com/question/25866144

AYO y'all can someone help wit this question urgent?


the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?

Answers

Answer:

I think this is right lol

Step-by-step explanation:

f(x)=49+x

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2

Answers

Problem 1

Answer:  C) 132.6

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

Explanation:

a1 = 1.7 = amount of concrete for the first step

a4 = x = amount of concrete for the fourth step

Sn = sum of the first n terms of an arithmetic sequence

Sn = (n/2)*(a1 + an)

S4 = (4/2)*(a1 + a4)

S4 = 2(1.7+x)

S4 = 2x+3.4

S4 = 17

2x+3.4 = 17

2x = 17-3.4

2x = 13.6

x = (13.6)/2

x = 6.8

We need 6.8 cubic feet of concrete for the fourth step. We'll use this value to help us find the common difference d

an = nth term of an arithmetic sequence

an = a1 + d(n-1)

a4 = a1 + d(4-1)

a4 = a1 + 3d

6.8 = 1.7 + 3d

6.8-1.7 = 3d

5.1 = 3d

(5.1)/3 = d

1.7 = d

d = 1.7

Coincidentally, the common difference is the same as the first term. This won't always happen.

Now we can compute the 12th term

an = a1 + d(n-1)

a12 = 1.7 + 1.7(12-1)

a12 = 20.4

which is then used to find the sum of the first 12 terms

Sn = (n/2)*(a1 + an)

S12 = (12/2)*(a1 + a12)

S12 = 6(1.7 + 20.4)

S12 = 132.6

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

Problem 2

Answer: C) [tex]x^2 + (y-10)^2 = 225\\\\[/tex]

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

Explanation:

The center is (h,k) = (0,10) which is where the nozzle is located.

The distance from (0,10) to (0,25) is 15 units, so r = 15.

Also, the distance from (0,10) to (0,-5) is also 15 units.

Plug those values into the equation below.

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-10)^2 = 15^2\\\\x^2 + (y-10)^2 = 225\\\\[/tex]

That equation represents the boundary of the circle, which is where the water can reach.

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

Problem 3

Answer:  B) 2.336 ft

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

Explanation:

a1 = height 1st bounce = 6.7 fta2 = height 2nd bounce = 81% of a1 = 81% of 6.7 = 0.81*6.7 = 5.427a3 = height 3rd bounce = 81% of a2 = 81% of 5.427 = 0.81*5.427 = 4.39587

Or note that,

a3 = 0.81*(a2) = 0.81*(0.81a1) = a1*(0.81)^2 = 6.7*(0.81)^2 =  4.39587

which must mean,

a4 = a1*(0.81)^3a5 = a1*(0.81)^4a6 = a1*(0.81)^5

This is based off the idea that [tex]a_n = a(r)^{n-1}[/tex]

So,

a6 = a1*(0.81)^5

a6 = 6.7*(0.81)^5

a6 = 2.33614554867

a6 = 2.336

What is a 15% tip on a meal that costs $38.40?

Answers

so first u need to find 15% of $38.40 so that will be $5.76 (0.15x38.40) !

Answer:

its $5.76

Step-by-step explanation:

because $38.40 / 15 is $5.76

GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.

Answers

Answer:

y-4=4(x-1)

Step-by-step explanation:

Write the equation in slop-intercept form and get the slope and point from the equation

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

Now we write the equation in point-slope form

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)

An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

Given that, the perimeter of a square is four times the length of one side.

What is the point slope form?

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y1) = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The equation is y=4x

If the side length of a square is 1 centimeter, then y=4

So, the coordinate point is (1, 4)

The slope of an equation y=4x is 4

Put (x1, y1)=(1, 4) and m=4 in slope intercept form

That is, slope intercept form is y-4=4(x-1)

Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

To learn more about the slope intercept form visit:

https://brainly.com/question/9682526.

#SPJ5

Which fraction is the same as 3.375?

Answers

Answer: 27/8 or 3 3/8

Step-by-step explanation:

Write 3.375 as 3.375/1

then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.  

   Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.

  If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times.  That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same.  ur final answer as a mixed number is 3 3/8.

Apply distributive 15+22

Answers

Answer:37

Step-by-step explanation:

For an experiment, the temperature of a liquid must stay above 60.5°F. The starting temperature of the liquid is 88.6°F. It is placed in a cooler, which lowers its temperature 2°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement. at least 14.05 /more than 14.05/ fewer than 14.05 /at most

Answers

14.05 at most

If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5

If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be

If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5

Answer: im late but here you go

12/2/22

Step-by-step explanation:

The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.

Answers

Answer:

The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.

3) Choose the graph which represents the solution to the inequality:
XS-4x + 15
A)
B)
CS

Answers

Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left

Step-by-step explanation:

Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?

Answers

Answer: $3

Step-by-step explanation:

15 times .20 then subtract that from 15

Answer:

$3

Step-by-step explanation:

because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH

can someone help me pls?

three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. express the total length of ribbon the three friends have in inches, feet, and yard.
____ inches = ____ feet = ____ yards

Answers

Answer:

126 inches = 10.5 feet = 3.5 yards

Step-by-step explanation:

42 in = 3.5 ft = 1.1667 yds

2.5 ft = 30 in = 0.8333 yds

1.5 yds = 54 in = 4.5 ft

42+30+54= 126 in

3.5+2.5+4.5= 10.5 ft

1.5+0.8333+1.1667= 3.5 yds

10.5/3= 3.5 yds

Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?

Answers

Answer:

$o.44

Step-by-step explanation:

20/100×0.55 =0.11

0.55-0.11 = 0.44

It should be $0.44
Explication- 0.55-20% is 0.44

PLEASE HELP ASAPPP!!!!!!!! (Also lemme know it you want another 3 questions for brainliest!)

Answers

Answer:

associative

Step-by-step explanation:

8x1=8

no matter how you group it the answer will always be 8

Hey there!

Identity Property FORMULA

Addition Identity Property

a + 0 = a

Multiplication Identity Property

a × b = b × a

Associative Property FORMULA

Addition Associative Property

a + (b + c)

Multiplication Associative Property

a * (b * c) = (a * b) * c

Based on that information we have above… we should say that your answer is most likely: IDENTITY

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The area of a circle is 2
square meters. Determine
the radius.

Answers

[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]

Answer:

r≈.8m

Step-by-step explanation:

Formula used

A=πr2

r=√a/π =√2/π ≈.79788

rounded it is .8m

(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6

Answers

8 : 2  

8+ 4 = 12    2 + 1 = 3

12 : 3

12 + 4 = 16   3 + 1 = 4

16 : 4

16 + 4 = 20   4 + 1 = 5

20 : 5

20 + 4 = 24   5 + 1 = 6

24 : 6

24 + 4 = 28   6 + 1 = 7

28 : 7

28 + 4 = 32   7 + 1 = 8

32 : 8

32 + 4 = 36   8 + 1 = 9

36 : 9

36 + 4 = 40   9 + 1 = 10

40 : 10

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

Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Have a great day/night! :D

square root of the quantity x minus 3 end quantity plus 5 equals x

Answers

Answer:

x =1 if understood it correctly

Step-by-step explanation:

A car is 15 feet long. A truck is 80% longer than the car. How long is the truck?
Enter numerical answer only. (just the number)

also thank you to everyone that has been helping me out when i have quetions.
also be as fast as you can cause this quiz is do in 30 min cause i am staying after school.

Answers

Answer:

27

Step-by-step explanation:

Answer:

27 feet

Step-by-step explanation:

One way to do this is: 15 * 0.8 = 12 and you can add the original 15 feet to get 27 feet in total. I converted the 80 percent to a decimal and added it back to the original number.

Another way to do this is: 15 * 1.8 and the result is also 27 feet.

simplify (6)/(\sqrt(3))

Answers

2

3

Explanation:
to simplify we
rationalise the denominator

that is eliminate the radical from the denominator
to do this multiply the numerator/denominator by

3
[
noting in general that

a
×

a
=
a
]


6

3

=
6

3
×

3

3

=
6

3
3
=
2

3

Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?

Answers

Answer:

She has 12 inches wood left

Step-by-step explanation:

Find the solution of the differential equation that satisfies the given initial condition.

Answers

The first equation is separable:

dy/dx = x/y   ⇒   y dy = x dx

(provided that y ≠ 0)

Integrating both sides yields

1/2 y² = 1/2 x² + C

Given that y(0) = -8, we find

1/2 • (-8)² = 1/2 • 0² + C   ⇒   C = 32

so that the particular solution is

1/2 y² = 1/2 x² + 32

Solving for y explicitly, we have

y² = x² + 64

y = ± √(x² + 64)

but since y(0) is negative, we take the negative solution:

y = - √(x² + 64)

The second equation is also separable:

du/dt = (2t + sec²(t)) / (2u)   ⇒   2u du = (2t + sec²(t)) dt

Integrate both sides:

u² = t² + tan(t) + C

Given u(0) = -6, we have

(-6)² = 0² + tan(0) + C   ⇒   C = 36

and so

u² = t² + tan(t) + 36

u = ± √(t² + tan(t) + 36)

but again we take the negative root here to agree with the initial condition, so

u = - √(t² + tan(t) + 36)

A number increased by 4 is less than - 12.

Answers

Answer:

is this all the information from the question

Pls help me
Given the following data pairs (x, y): (1, 1.24), (2, 5.23), (3, 7.24), (4, 7.60), (5, 9.97), (6, 14.31), (7, 13.99),(8, 14.88), (9, 18.04), (10, 20.70) obtain a prediction for x = 4.5​

Answers

Answer:

(5.33) the answer but I am not sure

Which describes the probability of tossing an odd number greater than 5 on a number cube with faces labeled 1-6? certain, unlikely, likely, impossible

Answers

Answer:

impossible

Step-by-step explanation:

a cube with faces labeled 1-6 does not have an odd number greater than 5

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

C or the third option.

Step-by-step explanation:

The equation is y = 4x - 4

Hope this helps! Pls give brainliest!

Grade 5 Module 3: End-of-Module REVIEW
Name
Date
1.
On Sunday, Sheldon bought 3 kg of plant food. He used 1 kg on his strawberry plants and used kg
for his tomato plants.
a.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how
you reached your answer.
Ur
orit,
Match
b.
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times.
f plant food as before. How much plant food will he need? Does he

Answers

Answer: a.) 1kg b.) He would need to buy 4 more kilograms (kg) of plant food.

Step-by-step explanation:

The question was not complete, I am not sure about the answer.

Correct me if I am incorrect.

What is the slope of the line?

Answers

Answer:

-1/2

Step-by-step explanation:

Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)

Calculate the slope using rise over run. -4-(-3)=-1

                                                                  -3-(-1)=2

Or, after choosing the dots, you can make a triangle

Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.

1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?

2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.

3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?

4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.

Answers

Answer:

Step-by-step explanation: this is hard

Other Questions
Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them The Qing Dynasty practiced what philosophy?a.Communistc.Imperialistb.Socialistd.Confucius Como ------ tu de nina What is the answer? ErasEraEran Determine the quadrant in which the terminal side of the given angle lies.115 Personality disorders (like antisocial personality disorder or borderline personality disorder) are characterized by Group of answer choices Inflexible and enduring behavioral patterns that impair social functioning Persistent anxiety or depression An elevated level of autonomic nervous system arousal Hallucinations or delusions Father is four times the age of his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years, how many times he would be of his daughter's age? What is the format of this proof?Given: AB = BCProve: B is the midpoint of AC.BO two-column proofO one-paragraph proofO flowchart prooftwo-paragraph proofAB = BCgivenAB a BCdef. of a segs.Bis the midpoint of ACdet of midpt A textbook store sold a combined total of 473 chemistry and sociology textbooks in a week. The number of sociology textbooks sold was 59 less than the number of chemistry textbooks sold. How many textbooks of each type were sold? Which equation is the inverse of y = 16+ 1?Choices In terms of the hierarchical scales of biological organization, __1__ are a very large scale, __2__ are a very small scale, and __3__ is between them. 3. (a) Determine the sum of the interior angles of the polygon below.(b) Determine the measure of the angle indicated by the letter, a, in the polygon. The number N is the smallest positive integer with the sum of its digits equal to 2020. What is the first (leftmost) digit of N? Please hurry I will mark you brainliest What is the value of p in the equation of the line px + 2y + 8 = 0, so that the x-intercept is 4? What are the proper steps to take leading to CPR?Put the statements below in the correct order by clicking and dragging the arrows.1. Tell someone to call 911 and get an AED2. Check if the scene is safe3. Check for breathing4. Tap and shout5. Shout for help If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two years Reread the first two paragraphs of the passage.How does this opening section develop the central idea of the passage?It explains how Douglass comes to understand that white people take advantage of ignorance to keep black people enslaved.It shows that Douglass is a quick learner and sets the stage for the passage's exploration of how Douglass learns to read.It shows the mean-spirited attitude of Mr. Auld and sets the stage for the central idea: the cruelty of white slaveholders.It describes Douglass's relationship with Mr. and Mrs. Auld and introduces the central idea: Douglass's resentment of Mr. and Mrs. Auld. A window is to be built in the shape of a rectangle surmounted by an isosceles triangle. The area of the window must be 6 square meters. Use Lagrange Multipliers to find the width and height of the rectangle for which the perimeter of the window will be as small as possible can i get some help please Chip is a veteran who fought in Desert Storm. He has just retired from the military. He has been told he qualifies for a property tax exemption based on his military service during wartime. Which exemption applies to Chip? Calfornia Homeowner's Exemption The Mello-Roos Community Facilities Act California Military Exemption The Street Improvement Act why HDI should high?