Answer:
Step 3.
Step-by-step explanation:
When 10.2b - 5 = 18.92, you cannot combine the unlike terms together on the left side to get 5.2b. Instead, add 5 to both sides:
10.2b = 18.92 + 5 = 23.92.
Answer: step 3
Step-by-step explanation:
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
[tex]H_o: \mu = 8[/tex]
The alternative hypothesis is:
[tex]H_1 : \mu \ne 8[/tex]
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]
The t-test statistics is computed as:
[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]
[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]
Decision rule: To reject [tex]H_o[/tex] if [tex]t< -2.728 \ or \ t > 2.728[/tex]
As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.Let the population mean be denoted by [tex]\mu[/tex]
Forming hypotheses:Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)
Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)
Using t test:
[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]
Degree of freedom = sample size - 1 = 34
Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]
From t tables we have:
[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
Learn more about testing of hypothesis for single mean here:
https://brainly.com/question/25316952
can anyone help me thanks ggg
Answer:
J/K
Step-by-step explanation:
if PV = GcT, c = PV/GT
Substitute:
c = (N/m^2)(m^3)/K
c = (N*m)/K
We know that N*m = J, so c = J/k
what is 53.8 divided by 4? I will give Brainliest!!!!!!!!!!
Answer:
53.8/4 =13.45
Step-by-step explanation:
Step-by-step explanation:
13.45
I used a calulator
There are 12 1/4 pounds of candy canes to split between four classes evenly. How many pounds of the candy canes will each class get ?
each class gets 3 and 1/16 pounds
Simplify
x^2 + 3x + 2 over x+1
Answer:
x+2
Step-by-step explanation:
factor and you should get (x+2)(x+1)/(x+1) and then you cancel out the (x+1)
to sacrifice my own life for pakistan
Answer:
yes.
Step-by-step explanation:
r these just free points?
Not related to math:
Whats a good middle name for Asher? Its a boy name and its for a boy, we need suggestions C:
Marc deposits $1,500 into two savings accounts.
Account 1 earns 4% annual simple interest.
• Account 2 earns 4% interest compounded annually.
Marc does not make any additional deposits or withdrawals. What is the sum of the
balances of Account 1 and 2 at the end of 3 years?
Answer:3,360.0
Step-by-step explanation:
Suppose the sum of two integers is negative. Must both integers be negative? Explain.
Answer:
Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.
Let me know if you'd like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.
Step-by-step explanation:
The sum of two integers is negative, here both integers are negative.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that the sum of two integers is negative.
And both integers are negative
Let a < 0, b < 0
Using a model a + b < 0
Substitute the values a = -1, b = -2, and c = -3 in the inequality of model
⇒ (-1) + (-2) < 0
⇒ -1 - 2 < 0
⇒ -3 < 0
So, the sum of two integers is negative.
Hence, the sum of two integers is negative, here both integers are negative.
Learn more about inequalities here:
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Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?
Answer:
19. books
Step-by-step explanation:
thats a lot
Answer:
19 books
Step-by-step explanation:
4b-5=71
I need help with this
Answer:
m∠z = 106°
Step-by-step explanation:
From the figure attached,
By exterior angle theorem,
m∠z = a + 68°
By linear pair theorem,
m∠a + 142° = 180°
m∠a = 180° - 142°
= 38°
Therefore, m∠z = 38° + 68°
= 106°
HELP MI PORFA<3
Question 1 (4 points)
1. Write a two column proof. (4pts)
Given: 2(3x + 4) = 56
Prove: x = 8.
I
Question 2
Step-by-step explanation:
2(3x+4)=56
<=> 6x+8=56
<=> 6x=48
<=> x=8
What is 60 + 9.000000000
Answer:
69
Step-by-step explanation:
Answer:
69.000000000
Step-by-step explanation:
add 60 plus 9.000000000 and you get 69.000000000
What is the perimeter of a square with sides 2.5 mm long?
A 7.5 mm
B 10 mm
C 2.5 mm
D 5 mm
Answer:
the perimeter of a square with sides 2.5 mm long is b.10 mm.
25 Point Math Question Image Attached
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
solve for x. solve for x. solve forx.
Answer: I think your answer should be x=7, please mark me as brainliest! :D
Step-by-step explanation:
Andrea ordered a computer
on the Internet. The
computer cost $1,399 plus
6.5% sales tax. What was
the total amount Andrea paid
for her computer?
helpppppp meeeeeeeee
Answer:
probably H but im not sure
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
the equation is 5x=0.1y
help :( someone can explain me
Answer:
B, C, D
Step-by-step explanation:
-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.
B.
6 - (-2)
6 + 2 = 8
C.
| -2| = 2
6+2 = 8
D.
|-2+6|
2+6 = 8
Determine the parent function
Y=x3. Y=^x. Y=1/x
Answer:
First one is B
Second one is A
next time dont shoot your computer
Step-by-step explanation:
The parent function of the graph is y = √x
How to determine the parent function?The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit
This means that the equation of the graph is:
y = 3 + √(x - 1)
Remove the translated points
y = √x
Hence, the parent function of the graph is y = √x
Read more about function transformation at:
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I need help with like 3 or 4 questions please help
Answer:
x=3y-6
Step-by-step explanation:
x−3y=−6
Step 1: Add 3y to both sides.
x−3y+3y=−6+3y
x=3y−6
Answer:
x=3y−6
The wages of 5 men and 6 boys amount to $114 per day. The wages of 7 men and 8 boys amount to $157 per day. Find the daily wages each man and each boy.
Answer:
let the wages of men and boys be x and y respectively
then
5x+6y = 114
7x + 8y = 157
multiplying equation first by 4 and second by three and subtracting equations
20x + 24y = 456
21x + 24y =471
-x = -15
x= 15 men wages
substituting value of x in equation
5x + 6y = 114
5*15 + 6y = 114
6y = 114 -75
6y = 39
y = 6.5 each boys wages
Step-by-step explanation:
Which angle(s) is/are supplementary?
Answer:
Two Angles that add up to 180
Step-by-step explanation:
90 degrees+ 90 degrees= 180 degrees
160degrees+ 20 degrees= 180 degrees
Hope this helps!
Least to greatest 0.4, 5/8, 74%, 3/5
Answer:
0.4,3/5,5/8,74%
Step-by-step explanation:
Change them all into decimals.
Get 0.4,0.625,0.74,0.6
Then reorder and see what their original values were
There are 143 students, 6 teachers, and 8 chaperones going to the theater. To reserve their seats, they need to reserve entire rows. Each row has 9 seats.
How many rows must they reserve?
Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answer:
Sam is wrong.
Step-by-step explanation:
A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :
Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.
Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour
Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
What is the volume of the rectangular prism below?
A
16 cubic units
B
20 cubic units
C
23 cubic units
D
32 cubic units
Answer:
D- 32 cubic units
Step-by-step explanation:
count each side and then multiple the numbers
I need help with this pls.....
Answer:
The measure of GJk is 95°
measure of angle HJG is 85
Step-by-step explanation:
45+50= 95
180-95= 85