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.
Help ur homie out pls
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 .
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
A calendar
A clock with only an hour hand
A clock with an hour and minute hand
If mLM=25 and mLL=25, find mLJKM
50
18
162
117
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)
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
Need help anything would help at this point !!!? Extra points
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
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.
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?
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
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?
Answer:
5/8 Jar
Step-by-step explanation:
I took the test...
what is the measure of CAE?
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!!!!
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
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
=> [tex]x=-\frac{2}{5} .6+\frac{67}{5}[/tex]
=> x = 11
16/4 + 56 – (3 + 4 - 1)
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
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.
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] *
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.
5 + 11 + 17 + 23
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
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.
What is time problem in mathematics?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.
To learn more about time refer to:
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please help with math problem
Answer:
it's very blurry, and i can't see the question
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
Answer:
7 percent or 11
Step-by-step explanation:
Please help and thank you
Guided Practice Type your answer and then click or tap Done. Evaluate -x2 - 4x-4 for x= -3. I VO ]
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?
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?
plz solve for x this is equations
Answer:
3) −3x2+6x4)x=−2 or x=55)x=0Step-by-step explanation:
in how many years 1600 invested at 5% will amount to 1920
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.
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
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°