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:
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Which function has a greater rate of change?
Which equation represents the line that is parallel to y = 2 and passes through (-1,-6)?
Answer:
y=-6
Step-by-step explanation:
the line needs to be vertical to be parallel to y=2, and pass through (-1,-6)
estimate the circumference of a circle that has a diameter of 13 yards
Answer:
aproximately 41 yards
Step-by-step explanation:
the equation equals 40.8 yards, rounded up is 41
what is the answer for 4+3x=-56
Answer:
x=-20
Step-by-step explanation:
3x=-56-4
3x=-60
x=-20
Hellllpppp plsssss just click the picture then you see it
Answer:
1. 8 + 13 = 13 + 8.
2. 6 + ( 12 + 4) = 6 + ( 4 + 12).
Step-by-step explanation:
Answer:
The Commutative Property of Addition is changing the order of the numbers to get the sum, but not changing the actual sum itself.
The Associative Property of Addition is the allowance of being able to re-group numbers and still get the same sum, or answer.
Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in
Given:
Central angle = [tex]\dfrac{\pi}{4}[/tex]
Arc length = 1.5 in
To find:
The radius of the circle.
Solution:
We know that the formula for arc length is
[tex]s=r\theta[/tex]
Where r is radius and [tex]\theta [/tex] is the central angle in radian.
Substitute the given values in the above formula.
[tex]1.5=r\times \dfrac{\pi}{4}[/tex]
[tex]6=\pi r[/tex]
[tex]\dfrac{6}{\pi}=r[/tex]
[tex]\dfrac{6}{3.14}=r[/tex]
On further simplifiation, we get
[tex]r=1.910828[/tex]
[tex]r\approx 1.91[/tex]
Therefore, the radius of the circle is 1.91 in.
6. Moira has a canvas that is 8 inches by 10 inches. She wants to paint a line diagonally from the top left corner to the bottom right corner. Approximately how long will the diagonal line be? show work
Answer:
12.8in
Step-by-step explanation:
Pythagorean theorem
8^2 + 10^2 = c^2
64 + 100 = 164 = c^2
C= 12.8in
Answer:
from fithagorh the line =
[tex] \sqrt{10 ^{2} + 8 ^{2} } = \sqrt{164} = 12.961 \: inch[/tex]
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75
Answer:
7.85
Step-by-step explanation:
the other guy is incorrect,
HELP PLEASE
Given line AB Use similar triangles to prove that the slope AB is the same between any two points on the line.
1. Create two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle. You may choose the given points, A(-5, -1) and B(4,3.5), as two of the points used to create the triangles. For each point used to create the triangles, name the point with a capital letter and coordinates,
2. For the pair of similar triangles created in Part 1, list three pair of corresponding angles that are equal and three sets of proportionate sides.
3. Use the pair of similar triangles created in Part 1 to demonstrate that the slope of line is the same between any two points on the line.
In your final answer, include a copy of your graph labeling original line AB, and all of Parts 1-3. Be sure to show the
vertical and horizontal lengths used for the rise and run of the slope. To submit your answers, use a word processing program or handwritten solutions.
Answer:
I attached the image that has all of the elements. If I missed something, please let me know and I will fix it.
Order from greatest to least
.03 .0 .32. 07 .7
Answer: .7, .32, .07, .03, .0
Step-by-step explanation:
The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
What is the inverse of the function f(x) =x +3?
Answer:
f(x) = x + 3y = x + 3x = y - 3Inverse is h(x) = x - 3
Answer:
f^-1(x) = x - 3
z = -3x +5y
Minimum value of z?
Answer:
minimum value of z is 0
Step-by-step explanation:
if x and y both equal zero, then the value of z is zero, which is your answer.
What is the measure of angle x in the figure
Answer:
167 degrees
Step-by-step explanation:
180-(180-((180-116)+103))
Answer: I think it might be y = 180 - 52 - 59 = 69 degrees . . . . . . . . (angles on a straight line are supplementary, i.e. add up to 180 degrees)
x = 180 - 69 - 63 = 48 degrees . . . . . . . . (sum of interior angles of a triangle is 180 degrees)
Therefore, m/_x = 48 degrees.
Step-by-step explanation:
I NEED HELP ASAP!!!!!
Answer:
Graph and solutions attached
Step-by-step explanation:
Kayla consumed 1800 calories on Monday. She consumed 500 more calories on Tuesday than she did on Monday. On Wednesday, she consumed 100 calories less than she had on Tuesday. Find the rate of change in calorie intake from Monday to Wednesday.
Answer: +200 calories/day
Step-by-step explanation:
Answer: 200 calories/per day
Step-by-step explanation:
what is the solution 2x-y=-2 2x+4y=8
Answer:
The answer is
x is 0
y is 2
Step-by-step explanation:
2x-y=-2
-2x-4y=-8
-5y=-10
y=2
2x-2=-2
2x=0
x=0
A high school club has 10 members who are seniors and 8 members who
are juniors. If a member is randomly selected to be the club president,
what is the probability that the person will NOT be a senior?
Answer:
The probability that the person will not be a senior
P(E⁻) = 1 - P(E)
= [tex]1- \frac{5}{9} = \frac{4}{9}[/tex]
Step-by-step explanation:
Explanation:-
Given A high school club has 10 members who are seniors and 8 members who are juniors
n(S) = 10 + 8 = 18
If a member is randomly selected to be the club president
Let 'E' be the event that the person will be a senior
The probability that the person will be a senior
[tex]P(E) = \frac{n(E)}{n(S)}[/tex]
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{10}{18} = \frac{5}{9}[/tex]
The probability that the person will not be a senior
P(E⁻) = 1 - P(E)
= [tex]1- \frac{5}{9} = \frac{4}{9}[/tex]
Evaluate 4x^2-12x+5 at x=6. A. 67 B. 77 C. 105 D. 221
Please hurry, I am giving 50 points! I only have a limited time to answer it!!!
Answer: B. 77
Sub x =6 into the given expression
4x^2 - 12x + 5
= 4(6)^2 - 12(6) + 5
= 144 - 72 + 5
= 77
[tex]\\ \sf\longmapsto 4x^2-12x+5[/tex]
[tex]\\ \sf\longmapsto 4(6)^2-12(6)+5[/tex]
[tex]\\ \sf\longmapsto 4(36)-72+5[/tex]
[tex]\\ \sf\longmapsto 144-67[/tex]
[tex]\\ \sf\longmapsto 77[/tex]
Investors buy a studio apartment for 240,000. Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price?
Answer:
Step-by-step explanation:
At a little-known vacation spot, taxi fares are a bargain. A 16-mile taxi ride takes 18 minutes and costs $14.40. You want to find the cost of a 38-minute taxi ride. What unit price do you need?
Answer:
$30.4
Step-by-step explanation:
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
your answer is 46
Step-by-step explanation:
i did maths lol
mark me brainliest
What is the depth of the soup ( the area shaded) 20cm is the diameter?
Answer:
8 cm
Step-by-step explanation:
Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-
⇒ cos 37° = AB / AC
⇒ cos 37° = AB / 20 cm
⇒ 4/5 = AB / 20 cm .
⇒ AB = 4/5 * 20 cm .
⇒ AB = 16 cm .
Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .
Hence the depth of the soup is 8 cm .what is the slope of this graph?
Answer: The slope is 0.
Step-by-step explanation: If the line is horizontal, the slope is 0
The rise is 0. 0 divided by any number is 0.
If the line is vertical, the slope is undefined.
No number can be divided by 0, so mathematicians call this situation "undefined."
Anna planted 90 bulbs in 60 minutes minutes. At this rate, how many bulbs can Anna plant in 2.5 hours?
90
150
225
250
Answer: 225
Step-by-step explanation: 90 + 90 = 2hrs. 0.5 hrs = 45, so 90+90+45=180+45=225
7% of what length is 200 feet
Answer:
Roughly 2857.14
Step-by-step explanation:
Answer:
2857.14285714 feet.
Step-by-step explanation:
If we put your question into an equation, we get:
7/100 * n = 200
We multiply both sides by 100 to get rid of the fraction, and get:
7n = 20000
Then, to find n, we divide both sides by 7.
Therefore,
n = 2857.14285714.
are the two triangles congruent ?
A. yes
B. no
c . there not enough information to say
Answer:
no
Step-by-step explanation:
50 POINTS!!!!!! PLEASE HELP FAST
What is the radical form of the expression 423?
Answer:
A
Step-by-step explanation:
A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.
To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator
4 2/3
∛4².
Hope this helps :)
Hello :)
Please help me solve this
Explain answer
Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
If cot 0= 4/3, find csc 0
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
Answer:
Option D
Step-by-step explanation:
