A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service.
1. State the appropriate null and alternate hypotheses.
2. Find the P-value.
3. Should the pump be put into service? Explain.

Answers

Answer 1

Answer:

1.

The null hypothesis is [tex]H_0: \mu = 4[/tex]

The alternate hypothesis is [tex]H_1: \mu > 4[/tex]

2.

The p-value of the test is of 0.0045.

3.

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

Step-by-step explanation:

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).

At the null hypothesis, we test that the mean is 4, so:

[tex]H_0: \mu = 4[/tex]

At the alternate hypothesis, we test that the mean is more than 4, that is:

[tex]H_1: \mu > 4[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that [tex]\mu = 4[/tex]

In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.

This means that [tex]n = 8, X = 6.4, s = 1.9[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}[/tex]

[tex]t = 3.57[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.

With the help of a calculator, the p-value of the test is of 0.0045.

3. Should the pump be put into service?

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.


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I'm still doing the rest but number 1 is D

Select the pair of equations that can be used to find the quotient of 2.6÷0.04 .

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Answer:

65

Step-by-step explanation:

just had to divide. your welcome

Rank the following methods of timekeeping from least precise to most precise
A clock with an hour, minute, and second hand

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A clock with an hour and minute hand​

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1- a calendar 2- A clock with only an hour hand 3- A clock with an hour and minute hand 4- A clock with an hour minute and second hand ( 4 being the most precise)

If mLM=25 and mLL=25, find mLJKM

50
18
162
117

Answers

Answer:

[tex] \displaystyle m\angle JKM = 50[/tex]

Step-by-step explanation:

remember that,

if a side of a triangle expanded exterior so formed is equal to the sum of the two interior angles

so,

[tex] \displaystyle m\angle JKM = 25 + 25[/tex]

simplify addition:

[tex] \displaystyle m\angle JKM = 50[/tex]

Solve with steps
80=3x+2(5x-12)

Answers

Answer:

x=8

Step-by-step explanation:

80=3x+2(5x-12)

80=3x+2(5x)+2(-12)

80=3x+10x-24

80=13x-24

104=13x

x=104/13

x=8

If this helps please mark as brainliest

80=3x+2(5x-12)
X=8
I think this is right

Need help anything would help at this point !!!? Extra points

Answers

Answer:

here,radius =2 in

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2in.)^2

=3.14*4in.^2

12.56in.^2

Step-by-step explanation:

brainlest for answered

Answers

Answer:

Hello! answer: 4/5

Step-by-step explanation:

20 ÷ 5 = 4 25 ÷ 5 = 5 that is 4/5 therefore 4/5 is the answer because we cannot reduce any further HOPE THAT HELPS!

Answer:

         [tex]\frac{20}{25} =\frac{4}{5}[/tex]

So I dont know what equation Im supposed to do. I'm confused either it is addition or multiplication.

Answers

The answer is C, it deals with multiplication. Because 11mph= 12 min, so u just use that for every other step, ex: 22mph=24min and so on.

On average, about 45,000,000 gallons of water flow over the Niagara Falls in 60 seconds. About how much water flows over the Niagara Falls in one second?

Answers

Answer:

750 000

Step-by-step explanation:

45 000 000 ÷ 60 = 750 000 gallons of water per second

1 poir
Find the AREA of the circle. User and round your answer to one decimal
place.
95 m

Answers

Answer:

what's your radius to the circle?

Sara made enough raspberry jam to fill 3
1
jars of equal
8
size. Then she made strawberry jam. If the amount of the
strawberry jam she made was the amount of raspberry
jam she made, how many jars could she fill with strawberry
jam?

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Answer:

5/8 Jar

Step-by-step explanation:

I took the test...

what is the measure of CAE?

Answers

Answer:

54

Step-by-step explanation:

A PE X

The answer is the measure of CA = 54°

What is an Inscribed Angle ?

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle.

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle.

In the circle, the two lines AC and AD intersect outside the circle at the point A .

m∠CAE=1/2(m CD−m BE)

The formula for the angle between 2 secants is

1/2 (124 - 16)

= 1/2 * 108

= 54°

Therefore the measure of CA = 54°

To know more about  Inscribed Angle

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Please help me with this!!!!

Answers

Answer:

mean: 4

median: 5

mode: 5

Step-by-step explanation:

Hi there!

Let's first start with the mean

the mean is the average of all of the numbers; we add up how many hours each week each student spent playing video games and then divide it by how many people responded (9)

(0+5+7+5+3+0+9+5+2)/9

add all of the numbers on top

36/9

divide

4

the mean is 4

now find the median, or the value that separates the upper half from the lower half of the data (it's the "center" value).

first, list the numbers in order from least to greatest

0,0,2,3,5,5,5,7,9

now get rid of the largest number and the smallest number  (0 and 9)

the set is now:

0,2,3,5,5,5,7

now get rid of the largest and smallest number in the new set (0 and 2)

the set becomes:

2,3,5,5,5

get rid of the largest and smallest number in the new set (2 and 5)

3,5,5

get rid of the largest and smallest number in the new set  (3 and 5)

5

the median is therefore 5

the mode is the number that occurs most frequently in the data set

here's our list again of all of the numbers from least to greatest:

0,0,2,3,5,5,5,7,9

we can count how many times each number appears to find the mode

0: 2 times

2: 1 time

3: 1 time

5: 3 times

7: 1 time

9: 1 time

since 5 appeared the most times, then the mode is 5

hope this helps!

What is the value of x in the solution to this system of equations?

5x+2y=67x=3y−7
Question 4 options:

6


18.5


24


11

Answers

Answer:

x = 11

Step-by-step explanation:

[tex]x-3y=-7[/tex]

[tex]5x=-2y+67[/tex]

=> [tex]x=\frac{1}{5}(-2y+67)[/tex]

=> [tex]x=-\frac{2}{5}y+\frac{67}{5}[/tex]

=> [tex]-\frac{2}{5}y+\frac{67}{5}-3y=-7[/tex]

=> [tex]-\frac{17}{5}y+\frac{67}{5} =-7[/tex]

=> [tex]\frac{-17}{5}y=-\frac{102}{5}[/tex]

=> y = 6

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=> x = 11

16/4 + 56 – (3 + 4 - 1)

Answers

Answer:

54

Step-by-step explanation:

First solve for brackets then multiplication or division then addition or subtraction

Answer: 52.

Step-by-step explanation: I don't know if you know about PEMDAS, but it basically stands for (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). So first, we would do Parenthesis. In the parenthesis, we have 3 + 4 - 1. Addition and Subtraction are the same, since they are inverse operations. We would start from left to right, so the addition goes first. 3 + 4 = 7. Now we are left with 7 - 1. 7 - 1 = 6. The equation so far is: 16/4 + 54 - 6. Next, we will do division. 16 ÷ 4 = 4. The equation so far is: 4 + 54 - 6. Now, we have to add 4 + 54 since we are doing it from left and right. 54 + 4 = 58. We are left with 58 - 6. 58 - 6 = 52. So your final answer is 52. Hope this helps!! :) **I tried my best**

-2x + 7y = 20
x + 7y = 32

Answers

Answer:

(4,4)

Step-by-step explanation:

1) Using substitution: move 7y to the other side by subtraction

x = 32 - 7y

2) substitute in for x in the first equation

-2(32 - 7y) + 7y = 20

3) distribute

-64 + 14y + 7y = 20

4) add like terms and solve for y

21y = 84

y = 4

5) plug in y value of for in one of the eqautions to get x value

-2x + 7(4) = 20

x = 4

A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a number of games.

Answers

Answer:

12 + 5X = Y

Step-by-step explanation:

Given that a video store charges $ 5 per game rental plus $ 12 to rent the game system, to write an expression for renting the game system and a number of games the following logical reasoning must be performed:

5 = variable not fixed, depends on the number of games

12 = fixed variable

X = number of games

Y = total value

12 + 5X = Y

Thus, if 5 video games were rented, the equation would operate as follows:

12 + 5x5 = Y

12 + 25 = Y

37 = Y

Alyana needs to buy a piece of glass to cover the top of a circular table. The table has a diameter of 24 inches. How much glass is needed for the job? [Use pi = 3.14] *

Answers

Answer:

452.16 inches²

Step-by-step explanation:

→ Write circle area formula

π × r²

→ Substitute in the numbers

3.14 × 12²

→ Simplify

452.16 inches²

Write the following series in sigma notation.
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Answers

This should help you if I’m not wrong

there are 60 mins in 1 hour and 24 hrs in 1 day. about how many times does the international space station orbit each day​

Answers

Answer:

16 times

Step-by-step explanation:

Hi,

As said on go ogle...

"Well, the space station orbits Earth about every 90 minutes, so that means in a 24 hour day, the space station orbits approximately 16 times."

Again, this is not from me, I don't take credit.

I hope this helps :)

Well, the space station orbits Earth about every 90 minutes, so that means in a 24 hour day, the space station orbits approximately 16 times.

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The concept of time is in contradiction between general relativity and quantum mechanics in theoretical physics because quantum mechanics views time flow as universal and absolute while general relativity views it as changeable and relative.

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Answer:

it's very blurry, and i can't see the question

If it says “from least to greatest” (the question is kinda blurry) the answer would be: -2, 0.2, 1/2

A pair of jeans is regularly priced at $45.99. If the sale price is $32.99, to the nearest percent, what is the percent decrease in the cost of the jeans?



i need help ​

Answers

Answer:

7 percent or 11

Step-by-step explanation:

Please help and thank you

Answers

It’s less than

Hope this helps :))

Guided Practice Type your answer and then click or tap Done. Evaluate -x2 - 4x-4 for x= -3. I VO ]​

Answers

Answer:

[tex]P(x) = x^{2} -4x -4\\\\P(x=-3) = (-3)^2 - (4*-3) -4\\\\P(x=-3) = 9 + 12 -4 =17[/tex]

A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=50e.85t, where t is in years.


a) What will be the population in 2015?

Answers

Answer:

the population in 2015 is 8201.0695

Step-by-step explanation:

Given that

There is a population of the 50 timber wolves

And, the exponential function given is

p(t) = 50 × e^(0.85 × t)

Here t denotes the time period i.e.

= 2015 - 2009

= 6

So,

= 50 × e^(0.85 × 6)

= 8201.095

Hence, the population in 2015 is 8201.0695

please help!!!! This was due a day ago!!!!
5. The points on the coordinate plane are three vertices of rectangle ABCD. What is the ordered pair of D?​

Answers

D.(-2,-1) that’s the answer

plz solve for x this is equations

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Answer:

3) −3x2+6x4)x=−2 or x=55)x=0

Step-by-step explanation:

in how many years 1600 invested at 5% will amount to 1920​

Answers

Answer:

principal=1600

rate=5%

amount=1920

time=x

interest=p*t*r/100

=1600*x*5/100

=8000x/100

80x

amount=principal +interest

1920=1600+80x

1920-1600=80x

320/80=x

4=x

therefore after 5 years 1600 amount to 1920 at the rate of 5%

Step-by-step explanation:

Help please! Thank you.

Answers

Answer:

38 and 21

Step-by-step explanation:

add 12+12+15 =38

add 6+6=12

take away 15-12=3

and then add 18+3=21

In this figure please see pictures

Answers

Answer:

∠ h = 75°

Step-by-step explanation:

∠ e = ∠ a = 105° ( corresponding angles )

∠ h and ∠ e are adjacent angles and sum to 180°

∠ h + 105° = 180° ( subtract 105° from both sides )

∠ h = 75°

h= 75

look where a is. c is perpendicular to it, making it 105 as well.
b is supplementary to it, so u have to figure its angle to understand what h is.
now im guessing you know to subtract 105 from 180 (bc these angles are supplementary) which is 75.
like I was saying, looking at a and c, you notice e and g are the same as them. what is supplementary to e? h. (e being 105 makes h 75)
I hope I helped u understand how this works bestie
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