Answer:
Answer is number 3
Step-by-step explanation:
A new process for producing a type of novolac resin is supposed to have a mean cyclic time of 3.5 hours per batch. Six batches are produced, and their cyclic times, in hours, were 3.45 3.47 3.57 3.52 3.40 3.63 Can you conclude that the mean cyclic time is greater than 3.5 hours
The requried, we cannot conclude that the mean cyclic time is greater than 3.5 hours for the new process of producing a type of novolac resin based on the given data.
To determine if we can conclude that the mean cyclic time is greater than 3.5 hours for the new process of producing a type of novolac resin, we need to perform a hypothesis test.
We can use a one-sample t-test to test the null hypothesis that the mean cyclic time is equal to 3.5 hours against the alternative hypothesis that the mean cyclic time is greater than 3.5 hours.
Using the given data, we can calculate the sample mean and sample standard deviation of the cyclic times for the six batches produced. The sample mean is:
x = (3.45 + 3.47 + 3.57 + 3.52 + 3.40 + 3.63) / 6
= 3.50 hours
The sample standard deviation is:
[tex]s = \sqrt ((3.45 - 3.50)^2 + (3.47 - 3.50)^2 + (3.57 - 3.50)^2 + (3.52 - 3.50)^2 + (3.40 - 3.50)^2 + (3.63 - 3.50)^2) / (6 - 1)) }[/tex]
= 0.086 hours
The test statistic for the one-sample t-test is:
[tex]t = ( \bar x-\mu) / (s / \sqrt(n))[/tex]
where μ is the hypothesized mean cyclic time, n is the sample size, and s is the sample standard deviation.
Substituting the given values, we get:
[tex]t = (3.50 - 3.5) / (0.086 / \sqrt(6))[/tex]
= 0
The degree of freedom for the t-test is n - 1 = 5.
Using a t-table or a calculator, we can find the critical value of t for a one-tailed test with α = 0.05 and 5 degrees of freedom to be 1.833.
Since the calculated t-value of 0 is less than the critical value of 1.833, we fail to reject the null hypothesis. Therefore, we cannot conclude that the mean cyclic time is greater than 3.5 hours based on the given data.
Therefore, we cannot conclude that the mean cyclic time is greater than 3.5 hours for the new process of producing a type of novolac resin based on the given data.
Learn more about the hypothesis here:
https://brainly.com/question/32606843
#SPJ12
What is the length of CD to the nearest tenth?
Answer: 9.4
Step-by-step explanation:
if you see on the screenshot if you draw a line between the 2 it mesures 9.4
Answer:
9.4
Step-by-step explanation:
Did the diagnosic
Divide. Write the answer in simplest form. 3=6= 8
[tex] \frac{3}{8} \div 6[/tex]
102 - Harder brackets
Find an expression without brackets
for the area of each rectangle.
(x + 3)
area =
12)
No
calc
р
(-9)
Total
area =
121
Answer:
For figure 1:
Area of rectangle = 7x + 21
For figure 2:
Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Step-by-step explanation:
We need to find area of rectangle
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
For figure 1:
Length = 7
Width = x+3
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]
So, area of rectangle = 7x + 21
For figure 2:
Length = p
Width = p-9
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]
So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
What should be done first to simplify the expression?
7 - 4 × (3 + 3)2 + 5
Add 5.
Subtract 4 from 7.
Multiply 4 and 6.
Add 3 and 3.
Answer:
3 plus 3
Step-by-step explanation: its in the parenthesis
Answer:
You have to add 3 and 3 first. That has to be done first.
Helppppppppp!!!!!! Please
Answer:
x = 4.99°
Step-by-step explanation:
Reference angle = x
Opposite side to x = 20 cm
Hypotenuse = 230 cm
Applying trigonometric ratio formula, we would have the following equation:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
Plug in the values
[tex] sin(x) = \frac{20}{230} [/tex]
[tex] x = sin^{-1}(\frac{20}{230}) [/tex]
x = 4.99° (approximated to nearest hundredth)
When rationalizing the denominator we multiply by the value of________.
A. 0
B. 1
C. 2
D. 3
Answer: You can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator.
Hoped this was helpful!
Which is the better buy? 22 vitamins for $2.00 at Rite Aid or 40 Vitamins for $3.00 at CVS. Explain why
Answer:
40 for $3
Step-by-step explanation:
you get an extra 18 for $1:00 here if you got 2 of each 22+22 is 44 for $4 40+40 is 80 for $6
hope this helps
Which sign makes the statement true?
3
65.7%
4.
<
=
Answer:
The middle one
Step-by-step explanation:
3/4=75%
The value of a certain account after t years is given by
B = 600 × 1.2t dollars.
How long will it take for the value of the account to increase to $900? Round your answer to one decimal place.
t =
Answer:
1.2 years
Step-by-step explanation:
The value of a certain account after t years is given by :
B = 600 × 1.2t dollars ....(1)
We need to find how long will it take for the value of the account to increase to $900 i.e. we need to find the value of t.
Put B = $900 in equation (1).
[tex]900=600\times 1.2t\\\\t=\dfrac{900}{600\times 1.2}\\\\t=1.2\ \text{years }[/tex]
So, it will take 1.2 years of the account to increase to $900.
The ratio of trumpet players to trombone players in the band is 5:3. What does this mean?
Answer:
for every 3 trombone players in the band there will be 5 trumpet players in the band
Step-by-step explanation:
example 6 trombone = 10 trumpet
H
Which side has a length of 10 units?
G
8
O HG
O GJ
4
O HI
OJ
-8
-4
4
8
1
-4
-8
Done
Intro
Answer:
HI sorry for the late answer:>
Step-by-step explanation:
Answer:
it is indeed HI
Step-by-step explanation:
A scale drawing of a living room is shown below:
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
17 ft2
41 ft2
495 ft2
103 ft2
Answer:
103 ft.
Step-by-step explanation:
Answer:
TrIaNgLe
Step-by-step explanation:
A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?
Solve (9 - 3 x 2)^2 someone help me please im failing
Answer:
9
Step-by-step explanation:
Using PEMDAS, we do what inside the parentheses first.
Multiplication before subtraction:
9-6 = 3.
Finally, 3^2 = 9
Find the slope between the two given points A(3,7), B(9,-5)
Answer:
Slope= -2
Step-by-step explanation:
Consider this system of two linear equations.
5x − 2y = 16
-4x + 6y = -15
What is the y-coordinate of the solution to the system of equations?
A. 1/3
B. 15
C. -1/2
D. 3
Answer:
Step-by-step explanation:
so these two lines cross at some point.. and they want to know the y point at which they cross... sooo..
solve them as a system to find the points that are common to both
Eq. 1) 5x -2y = 16
Eq. 2) -4x+6y=-15
i'll use the elimination method as these equations "lend" themselves to that way.. they are easy to solve that way .. in other words..
multiply Eq. 1 by 3 the add Eq. 2 .. to it... add the terms as columns....
15x-6y = 48
+ ( -4x+6y=-15)
= 11x+ 0y =33
x=3
nice, now plug 3 in for x in one of the Eq. try Eq. 1
5(3)-2y=16
15-2y=16
-2y =1
y = [tex]-\frac{1}{2}[/tex]
since we're looking for the y coordinate... that's your answer [tex]-\frac{1}{2}[/tex]
does someone know the correct answer?
Answer:
C
Step-by-step explanation:
18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A 272.5
B 267.5
C 270
D 337
Answer:
B) 267.5
Step-by-step explanation:
162.5+105=267.5
In Randy's town all stand alone store front signs must be exactly 8 feet high. When mounted atop a pole , the combined height of the sign and pole must be less than 20 feet or greater than 35 feet so that they dont interfere with the power and phone lines. Write a compound Inequality to represent the possible above ground height of the pole.
Answer:
[tex]x<12[/tex] or [tex]x > 27[/tex]
Step-by-step explanation:
Given
[tex]Lower\ Bound = 20[/tex]
[tex]Upper\ Bound = 35[/tex]
[tex]Height = 8[/tex]
Required
Represent as a compound inequality
Let the pole height be x:
So, the combine height of the pole and the sign is [tex]x + 8[/tex]
The height must be less than 20ft.
So, we have:
[tex]x + 8 < 20[/tex]
Subtract 8 from both sides
[tex]x + 8 - 8 < 20 - 8[/tex]
[tex]x < 20 - 8[/tex]
[tex]x<12[/tex]
or The height must be less than35ft
So, we have:
[tex]x + 8 > 35[/tex]
Subtract 8 from both sides
[tex]x + 8 - 8 > 35 - 8[/tex]
[tex]x > 35 - 8[/tex]
[tex]x > 27[/tex]
So, the compound inequality is:
[tex]x<12[/tex] or [tex]x > 27[/tex]
Factor the polynomial completely. Use synthetic division.
F(x) = x^3-7x-6
Answer:
The factors of given polynomial x =-1 , -2 and x =3
Step-by-step explanation:
Step(i):-
Given the polynomial
f(x) = x³ - 7x -6
put x =-1
f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0
(x+1) is a one factor
By using synthetic division
x³ x² x constant
x=-1 ↓ 1 0 -7 -6
↓ 0 -1 1 6
1 -1 -6 0
The polynomial x² - x - 6
Step(ii):-
The factors ( x+1)(x² - x - 6 ) = 0
x = -1 and x² - x - 6 =0
x =-1 and x² - 3x + 2 x - 6 =0
x =-1 and x (x -3) + 2( x-3) =0
x =-1 and (x+2)(x-3) =0
Final answer:-
The factors of given polynomial x =-1 , -2 and x =3
pls answer i will mark brainlist to best (COME ON DOWN TO THIS HOME TOWN) :)
Answer:
24 divided by 6= 4
Step-by-step explanation:
U
And that's the end of animes history
Answer:
Whats your question?
Step-by-step explanation:
Homework Help! ASAP
Question: A 64-ounce bottle of apple juice cost $5.76. A 15-ounce bottle of apple juice costs $1.80. Which item costs less per ounce?
Write the rate for each bottle 64-ounce bottle:
15-ounce bottle:
b. Write the unit rates.
c. Which item cost less per ounce?
Given the graph below, what is the average rate of change between 1 year and 4 years
of age?
Answer : The average rate of change between 1 year and 4 years of age is 7.33 lbs per year.
Step-by-step explanation :
As we know that the average rate of change between two input values is the total change of the output values divided by the change in the input values.
From the table, we conclude that:
The weight of 1 year of age = 20 lbs
The weight of 4 years of age = 42 lbs
Now we have to determine the average rate of change between 1 year and 4 years of age.
The input (years) has changed by = 4 years - 1 year = 3 years
The output has changed by = 42 lbs - 20 lbs = 22 lbs
Average rate of change = Output ÷ Input
Average rate of change = [tex]\frac{22\text{ lbs}}{3\text{ years}}[/tex]
Average rate of change = 7.33 lbs per year
Therefore, the average rate of change between 1 year and 4 years of age is 7.33 lbs per year.
This is literally my hole grade and I need help this is what it looks like-
Answer:
Muhammed
Step-by-step explanation:
Jimmy bought a sandwich. The price is $5 when he got the receipt he needed to pay 6% taxes, and he left a 10% tip how much did he spend?
Answer:
$5.8
Step-by-step explanation:
0.3 + 0.5 + 5 = 5.8
Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.
Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.
Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .
Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.
The answer is C hope it helps
A line has a y-intercept of 4 and a slope of 2/3. Explain how you can use this
information to graph
Answer:
0,2 0r 2/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, you put it into slope intercept form
y = mx + b
m is the slope
b is the y intercept
y = 2/3 + 4
I GIVEEE BRAINLILSTT
Answer:
(x, y) --> (x + 14, y + 8)
Step-by-step explanation:
Look at 1 original point and its corresponding translated point.
Let's look at F and F'.
To go from F to F', you need to go right in x 14 units.
Then you need to go up in y 8 units.
The translation rule is to add 14 to x and 8 to y.
(x, y) --> (x + 14, y + 8)
Answer:
fhddffhfdjdfgjmtgfjn
Step-by-step explanation:
fgngng ndgngfnngfngfn