The Statistical Abstract of the United States (109th edition) reported that the mean age of all U.S. registered merchant vessels is 23.6 years. Records for 38 randomly selected U.S. registered grain cargo ships showed that the mean age was 26.7 years with a standard deviation of 5.2 years. Is this type of ship older than the national average of all merchant vessels

Answers

Answer 1

Answer:

Yes, we can conclude that the ship is older than the national average

Step-by-step explanation:

Population mean, μ = 23.6

Sample mean, xbar = 26.7

Sample size, n = 38

H0 : μ = 23.6

H0 : μ > 23.6

The test statistic :

(xbar - μ) ÷ (σ/√(n))

(26.7 - 23.6) ÷ (5.2/√(38))

3.1 / 0.8435513

Test statistic = 3.675

Decision region :

Reject H0 ; if |Tstatistic| > |Tcritical|

Since we are given the sample standard deviation ; we use the T test distribution

df = 38 - 1 = 37

Tcritical at df = 37 ; α = 0.05 ; rigth tailed :

Tcritical(0.05, 37) = 1.687

3.675 > 1.687 ; Hence, we reject H0 and conclude that there is enough evidence that this type of shop is older than the national average.


Related Questions

The angles in this diagram are complementary. What is the value of x?
(4x)
(2x + 6)

Answers

Answer:

2(4)+6(4)

Step-by-step explanation:

Distribute

(4)(2+6)

(4x)(2x+6)2(4)+6(4)

2x(4x)+6(4x)

Solution

2(4)+6(4)

Please give brainliest :)

Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

Answers

Answer:

10

Step-by-step explanation:

Standard form for a circle is

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius

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

x² + y² - 18x + 24y = -200

Rearrange

(x² - 18x) + (y² + 24y) = -200

Complete the square for x

(x - 9)² + (y² + 24y) = -200 + (-9)²

Complete the sqaure for y

(x - 9)² + (y + 12)² = -200 + (-9)² + 12²

(x - 9)² + (y + 12)² =  25

Now the equation is in standard form

r² = 25

r = 5

Therefor Diameter = 10

4( − 5 ) – 10 = 2 ( + 6 ) and check your answer

Answers

Answer:

- 30 < 12

Step-by-step explanation:

4(- 5) - 10 = 2 (+ 6)

- 20 - 10 = 12

- 30 < 12

Image below! PLEASE HELP! THIS IS DUE!

Answers

Answer:

270 if not simplified and

1/1 if simlifies

Step-by-step explanation:

Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.

Use a thousands comma where applicable.

1. the company's percentage
%
2. the total premium $
3. the company's payment $

Answers

1. 100 - 35 = 65% company percent
2. 419/.35 = 1197 total premium
3. .65 *1197 = 778.05 company payment

Calculate the missing values.

Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.

Use a thousands comma where applicable.

1. 100 (100% of cost)  - 35 = 65% company percent

2. 419.00 ÷ .35 (or, 35%, but use the decimal) = 1197 total premium

3. 0.65 × 1197 = 778.05 company payment

I tried to make it so you could see where the numbers came from, by making the ones bold, others, italics, and other combinations. I hope you understand what I did. I tried to explain how the guy above did it. He did well, so brainliest goes to him.

An equation of the line through the points (-2.5) and (3, -4) is:​

Answers

linear??? . z z z z z z z z

Help me please? I’ll give out brainly. No links.

Answers

Answer:

A = 8 unites

Step-by-step explanation:

8 - 2 = 6

the y-intercept stays the same

only x-intercept changes

Answer:sorrY mAaM cAnt heLp yOu

Step-by-step explanation:

What is the end behavior of this radical? f(x) = 4 square root x - 6

Answers

Answer:

I think you can answer it with a chart, I guess, of course I'm not sure‍♀️

A property that offers a 7.5 percent return on the listing price has a monthly net of $810.
The property is listed at

Answers

Answer:

$129,600

Step-by-step explanation:

Given that

The return percentage is 7.5%

And, the monthly net is $810

We need to find the property listed price

Since we assume that the return percentage is on annual basis

So, for monthly, it is

= 7.5% ÷ 12

= 0.625%

Now the property listed price is

= $810 ÷ 0.625%

= $129,600

A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%

Answers

Step-by-step explanation:

You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

answer 4 some free pointz

Answers

heyyyyyyyyyyyyyyyyyyyyyyyy lol hru

Answer:

Step-by-step explanation:

Simplify (-32) divided by (-4)

Answers

Answer:

[tex] \frac{8}{1} [/tex]

Step-by-step explanation:

[tex] \frac{ - 32}{ - 4} [/tex]

Reduce factor by 4

[tex] \frac{ - 8}{ - 1} [/tex]

A negative divided by a negative equal positve so

[tex] \frac{8}{1} [/tex]

the simplest form of 32/4 is 8/1

find the GCD ( or HCF) of numerator and denominator GCD of 32 4 is 4

divide both the numerator and denominator GCD

32/4 ÷ 4/4

reduce fraction: 8/1

therefore, 32/4 simplify to lowest terms is 8/1.


Solve for X
A.45
B.35
C.25
D.30

Answers

D. 30

90+60=150
180-150=30

find the perimeter of each polygon. Assume that lines which appeared to be tangent are tangent. ​

Answers

9514 1404 393

Answer:

  A)  54.4

Step-by-step explanation:

The perimeter of a circumscribing quadrilateral is twice the sum of the lengths of opposite sides.

  P = 2(17.6 +(2.9 +6.7)) = 2(27.2)

  P = 54.4

Answer:

perimeter of each polygon

Choose the Inequality that matches the graph below.

Answers

Answer:

The answer would be A

Step-by-step explanation:

Because the circle is an open circle, also its point towards the positive so that means A is the correct answer

if a1= 7 and r=3, find a4

Answers

Answer:

a4 = 189

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient r between consecutive terms is always the same.

The nth term of the sequence is given by:

[tex]a_n = a_1*r^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this question:

[tex]a_1 = 7, r = 3[/tex]

The fourth term is:

[tex]a_4 = 7*3^3 = 189[/tex]

So

a4 = 189

-3x + 2 ≤ 14= ? [tex]-3x +2 \leq 14[/tex]

Answers

Answer: x>=-4

Step-by-step explanation:

-3x+2<=14

subtract 2 from both sides,

-3x<=12

Divide by -3, because you are dividing by a negative, the sign gets flipped

X>=-4

HELP PLEASE IT EASY!
+ no files please!!

Answers

Answer:

GIVEN :-

Ordered pairs given are :-

(2 , -1)(-5 , 3)(4 , 3)(-2 , -3.5)(0.5 , 1.75)

TO FIND :-

Correct quadrant for each ordered pair.

FACTS TO KNOW BEFORE SOLVING :-

While writing the co-ordinates of a point , its ordered pair is always in the form of ( x , y ) where x = x-coordinate of the point & y = y-coordinate of the point.In Quadrant 1 , the coordinates of a point is always = ( +x , +y ) because Quadrant 1 lies between the positive side of x-axis & positive side of y-axis.In Quadrant 2 , the coordinates of a point is always = ( -x , +y ) because Quadrant 2 lies between the negative side of x-axis & positive side of y-axis.In Quadrant 3 , the coordinates of a point is always = ( -x , -y ) because Quadrant 3 lies between the negative side of x-axis & negative side of y-axis.In Quadrant 4 , the coordinates of a points is always = ( +x , -y ) because Quadrant 4 lies between the positive side of x-axis & negative side of y-axis.

SOLUTION :-

(2 , -1) is in Quadrant 4 because it's x-coordinate is positive whereas its y-coordinate is negative.(-5 , 3) is in Quadrant 2 because its x-coordinate is negative but y-coordinate is positive.(4 , 3) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.(-2 , -3.5) is in Quadrant 3 because both its x-coordinates & y-coordinates are negative.(0.5 , 1.75) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.

observa con atencion los siguientes desarrollos planos y encierra con cual de ellos se puede armar cada cuerpo uno de ellos tiene dos respuestas

Answers

Answer:

Can you give it in a english

Step-by-step explanation:

HELP! PLEASEEEEE
IMAGE BELOW!

Answers

Answer:

Quadrant I and Quadrant II

Step-by-step explanation:

Quadrant I has both positive x and y coordinates,Quadrant II has a negative x coordinate but the y coordinate is positive.

Quadrant one and quadrant two lmk if this helps

Work out the mean for the data set below: 5, 6 Give your answer as a decimal.

Answers

Answer:

5.5

Step-by-step explanation:

5 + 6 =

11 / 2 =

5.5

1/10 *as a fraction* divided by 5
Please help! Fast!!​

Answers

Answer:

1/50

Step-by-step explanation:

1/10÷5/1=

1/10•1/5=

1/50

Determine whether each ordered pair is a solution of the inequality-3x-4y<6

Answers

Answer:

it's (6,0) I can't explain though

5 times the sum of 24 and 7

Answers

Answer:

Your answer should be 155!

Step-by-step explanation:

Sum means to add, so 24 + 7 = 31

31 x 5 = 155

I hope this helps!

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.

What is Sum?

A summation, also called a sum, is the result of arithmetically adding numbers or quantities.

Given,

5 times the sum of 24 and 7

Sum is nothing but addition.

When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.

Times means multiplication.

We have to convert 5 times the sum of 24 and 7 to expression.

When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.

5×(24+7)

Firstly we calculate value in parenthesis.

twenty four plus seven is thirty one.

5×31

The product of 5 and 31 is 155.

155

Hence 155 is the answer for 5 times the sum of 24 and 7.

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(-14, 3), (20, -11) slope

Answers

Answer:

= -7/ 17

Step-by-step explanation:

To find the slope when given two points

m= ( y2-y1)/(x2-x1)

   = ( -11-3)/(20- -14)

   = (-11-3)/(20+14)

   = -14/34

Divide top and bottom by 2 to simplify

  = -7/ 17

Answer:

-7/17

Step-by-step explanation:

Plug these points into the equation y2-y1/x2-x1. In this case, the y2 value is -11 and the y1 value is 3. In this case, the x2 value is 20 and the x1 value is -14. Therefore, the equation is -11-3/20--14. This is equal to -14/20+14 which is equal to -14/34. This is equal to -7/17. Therefore, the slope is -7/17

If this helps please mark as brainliest

In ΔMNO, the measure of ∠O=90°, OM = 69 feet, and NO = 16 feet. Find the measure of ∠N to the nearest tenth of a degree.

Answers

9514 1404 393

Answer:

  76.9°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(N) = OM/ON

  N = arctan(OM/ON) = arctan(69/16)

  N ≈ 76.9°

What is the line segment from the center of the circle to any point on the circle



please help me Answer this question​

Answers

Step-by-step explanation:

the circle to any point on the circle

Answer:

Radius

.....................

P9-17 Comparing Investment Criteria [LO1, 2, 3, 5, 7] Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 –$221,117 –$16,136 1 27,200 5,520 2 60,000 8,304 3 60,000 13,962 4 425,000 9,960 Whichever project you choose, if any, you require a 6 percent return on your investment. a. What is the payback period for Project A?

Answers

Answer:

3.17 YEARS

Step-by-step explanation:

Payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative cash flows

Payback period = Amount invested / cash flow

Payback period for option A, Product A  

Amount invested = –$221,117

Amount recovered in year 1 = –$221,117 + 27,200 = -193,917

Amount recovered in year 2 =  -193,917 + 60,000 = -133,917

Amount recovered in year 3 = -133,917 + 60,000 = -73,917

Amount recovered in year 4 =  -73,917 + 425,000 = 351,083

Payback period = 3 years + (73,917 / 425,000) = 3.17 years

What is the expected value for the binomial
distribution below?

1/3125
4/625
32/625
128/625
256/625
1024/3125

Answers

Answer

999.224

Step-by-step explanation:

Expected value = Summation of (x•px)

px is addressed as pdf (probability distribution function)

x px. x•px

1. 1/3125. 1/3125

20. 4/625. 16/125

160. 32/625. 1024/125

640. 128/625. 16384/125

1280. 256/625 65536/125

1024. 1024/3125. 335.544

total:. 1. 999.224

taking my pdf as x/3125

The expected value of the binomial distribution is 4

How to determine the expected value?

The expected value of a binomial distribution is calculated using:

[tex]E(x) = \sum x * P(x)[/tex]

Using the table of values, we have:

[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]

Evaluate the expression

E(x) =  4

Hence, the expected value of the binomial distribution is 4

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Grade 5 math. ! 30 points !

During the month of june, jessica volunteers at a library every 6 days and at a veterinarians office every 10 days. jessica’s first visit to the library was on June 6 and her first visit to the veterinarian office was on June 1th.


What day in June will jessica volunteer at both locations?


Anwser Options

june 6

june 10

june 18

june 20

june 24

june 30

Answers

The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.

What is LCM?

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For instance: The LCM of 2 and 3 is 6.

Given:

Jessica volunteers library every 6 days,

Jessica's veterinarian's office, every 10 days,

So for her visit to both, the place takes the LCM of 6 and 10,

LCM of 6 and 10 = 30,

Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.

Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.

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Answer:June 30th

Step-by-step explanation:

So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.

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