An 80% confidence interval is found to be (12, 20). Thus, the margin of error is 8.
How to interpret the confidence interval?Suppose the confidence interval at P% for some parameter's values is given by
[tex]x \pm y[/tex]
That means that parameter's estimated value is P% probable to lie in the interval
[x-y,x+y]
In most of the cases, the confidence interval is constructed around the mean, and the absolute distance from the mean on right or left side of the mean is called the margin of error.
Thus, we get: Confidence interval [tex]limits= \overline{x} \pm MOE[/tex]
The width of the confidence interval
20-12 = 8 units.
That cuts in half to get 8/2 = 4 which is the margin of error.
The center of the confidence interval
(12+20)/2
= 32/2
= 16.
So, 16+4 = 20, which is the right endpoint.
Also, 16-4 = 12, which is the left endpoint.
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Answer:4
Step-by-step explanation:
At times 6 x 10 To the six power cubic feet of water go over Niagara Falls every minute there are 1440 minutes and one day at this rate how many cubic feet of water would go over Niagara Falls in one day
Answer:
6.718464×10^13 / 67184640000000
Step-by-step explanation:
6×10^6 = 46656000000 × 1440 = 67184640000000
A 1948 study in Biometrika investigated the effects of several different diets on the weight of chickens. In this study, chickens were randomly assigned to one of several different groups, and each group of chickens received a different type of feed. The data provided represent a subset of data from this study and show the weights (in grams) of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
Use software to conduct an analysis of variance (ANOVA) ????F‑test to test the claim that the mean weights of chickens receiving sunflower, meatmeal, soybean, and casein are equal. What are the ????F‑statistic and pp‑value for this test? Please round your ????F‑statistic to the nearest two decimal places and your pp‑value to the nearest five decimal places.
1. ????F‑statistic :
2. pp‑value :
Based on the pp‑value for this ANOVA ????F‑test, select the correct conclusion at the ????=0.05α=0.05 level.
a. Since the pp‑value is greater than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
b. Since the pp‑value is less than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
c. Since the pp‑value is less than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
d. Since the pp‑value is greater than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
weight feed
368 1
390 1
379 1
260 1
404 1
318 1
352 1
359 1
216 1
222 1
283 1
332 1
325 2
257 2
303 2
315 2
380 2
153 2
263 2
242 2
206 2
344 2
258 2
243 3
230 3
248 3
327 3
329 3
250 3
193 3
271 3
316 3
267 3
199 3
171 3
158 3
248 3
423 4
340 4
392 4
339 4
341 4
226 4
320 4
295 4
334 4
322 4
297 4
318 4
hope this helps!! ^.^ -
Answer: F: 5.90, P: 0.00175, p-value is less than 0.05, so there is significant evidence
Step-by-step explanation:
help me fill this out! please be honest and help me , i'll mark you brainlesst
Answer/Step-by-step explanation:
1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)
2. The lines that created <FRT (lines FR & TR) are secants
3. The major arc = FT = 140°
minor arc = QS = 44°
4. Formula of Exterior angles of a circle = (major arc - minor arc)/2
x = (140 - 44)/2
x = 96/2
x = 48°
Simplify the following expression: 3(5 – 12) + 4 ÷ 2
A. -19
B. 19
C. -23
D. -8.5
I think it's either A or B
3(5 - 12) + 4 ÷ 2 = - 19
A must be the answer
Five student government officers want to go to the state convention. It will cost them $115 for registration, $365 for transportation and food, and $55 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?
Answer:
45 cars
Step-by-step explanation:
115+365+(55*5) = 755
755 - 485 =270
270/6 = 45
Help me please !! Please
Answer:
i believe the last one is right.
the probabiliity of getting exactly one tail is?
Answer:
50%
Step-by-step explanation:
assuming you are talking about one coin flip (because you didn't specify) you have a 50% chance to land on tails
Use compositions to determine if the functions below are inverses of
each other?*
f(x) = 5x & F-1(x) = x
Yes
No
Answer:
They are not inverse functions
Step-by-step explanation:
Given
[tex]f(x) = 5x[/tex]
[tex]f^{-1}(x) = x[/tex]
Required
Determine if both are inverse functions
First calculate the inverse of f(x)
[tex]f(x) = 5x[/tex]
Replace f(x) with y
[tex]y = 5x[/tex]
Swap x and y
[tex]x = 5y[/tex]
Make y the subject
[tex]y = \frac{1}{5}x[/tex]
Replace y with f-1(x)
[tex]f^{-1}(x) = \frac{1}{5}x[/tex]
By comparison:
[tex]f^{-1}(x) = x[/tex] and [tex]f^{-1}(x) = \frac{1}{5}x[/tex] are not the same:
Hence:
[tex]f(x) = 5x[/tex] and [tex]f^{-1}(x) = x[/tex] are not inverse functions
NEED HELP 20 POINTS !!
The designers of a standardized test are interested in knowing how long people take, on average, to complete the writing portion of the test. They decide to conduct an observation study at a testing facility. To avoid bias in their study, they create a list of the test takers scheduled to take the test this week. Then, they randomly select 50 test takers from the list to be part of the study.
In this situation, what does the list of test takers represent?
A. the frame
B. the population
C. a control group
D. a sample
Answer:
A. Frame
Step-by-step explanation:
This is because it does not contain the who population and it is the place where the participants of the experiment are selected. It is not the control group because this includes people who were not even in the experiment.
The list of test takers represent the frame.
A frame consist of everyone in the population that has a chance of being picked.
The population represents the individuals that the researchers is interested in conducting the research on. The population of a study has similar characters.
The sample is the person that's selected from the population and represents the population as a whole.
The control group refers to the people that didn't partake in the experimentation carried out.
Therefore, the 50 test takers from the list represents the frame.
In conclusion, the correct option is A "frame".
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What is the volume of one cylinder ??
Using x as the variable for the problem, solve for x.
PLEASE HELP!!!! Hosting a party for 28 people, you plan to serve pizza for dinner. Each pizza
has 8 slices. How many pizzas must you buy so each guest gets at least 2
slices?
A. x56
B. x 6
C. x27
D. X>7
Answer:
I'm not sure but I think it's 7
Step-by-step explanation:
28×2= 8x
8÷56=8x÷8
7=x
A gym membership is $28 to join and $10 paid monthly.
Create a table to represent this scenario, then create an equation.
Enter your answers in the boxes.
Months Purchased Total Cost ($)
0 28
1
38
2
48
3
58
4
68
The equation to represent this scenario is y =
x +
.
Answer:
sorry needed points so sorry
Step-by-step explanation:
Aponi is a member of the Shoshone Native American Indian
tribe. Her name means "butterfly." Aponi uses beads to make
hair barrettes with a butterfly design. The number of beads she
uses is proportional to the number of hair barrettes she makes.
Aponi graphs a line that shows the number of hair barrettes
she makes and the total number of beads she uses. Two
points on the line are (2, 150) and (5, 375).
What does the slope of the line mean in this situation?
O Aponi uses 45 beads to make each hair barrette.
Aponi uses 75 beads to make each hair barrette.
Aponi uses 150 beads to make each hair barrette.
O Aponi uses 225 beads to make each hair barrette.
A line that shows the number of hair barrettes she makes and the total number of beads she uses is y = 75x.
What is the graph's line's equation?In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, you must first determine the slope and y-intercept. The slope is the ratio of the change in y to the change in x. Find two locations on the line, and then draw a sloping triangle joining them.
What is the name for a straight line?A line is a perfectly straight, one-dimensional figure that extends infinity in both directions and has no thickness. To stress that a line has no "wiggles" anywhere along its length, it is sometimes referred to as a straight line or, more archaically, a right line.
Two points on the line are (2, 150) and (5, 375)
y - 150 = ( (375-150) / (5-2) ) (x-2)
y - 150 = 75 (x-2)
y = 75x
Equation of line is y = 75x
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Ten less than 3 times a number is the same as the number plus 4. What is the number?
Answer:
3x-10=x+4
Step-by-step explanation:
Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?
The resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
What are vectors?A vector is an object that has both a magnitude and a direction.
Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.
For the subtraction of vectors, we can write its magnitude as -
|r - s| = √(r² + s² - 2rscos{15})
Therefore, the resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
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Pls help! Step by step:)
Answer:
tan30° = [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{12}[/tex]
Answer:
[tex]\dfrac{5}{12}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
From inspection of the given right triangle:
θ = 30°O = 5A = 12H = 13Substitute the values into the tan trigonometric ratio:
[tex]\implies \tan(30^{\circ})=\dfrac{5}{12}[/tex]
Find the surface area and volume for this following pyramid
Answer:
the aswer is A i did this
Step-by-step explanation
Lori works in a restaurant. She earns $7/hr plus tips. If Lori works 4 hours on a Tuesday, has $300 of food sales,
What is her base salary?
What is her Tips (18% of Food-sales) ?
What is her Total earnings?
Answer: Her total earnings would be $28+$54=$82.
Step-by-step explanation:
Lori's base salary is calculated by multiplying her hourly rate by the number of hours she works. If Lori works 4 hours on a Tuesday and earns $7/hr, her base salary would be 4*$7=$28.
Lori's tips are calculated as 18% of her food sales. If Lori has $300 of food sales on a Tuesday, her tips would be 18%*$300=$54.
Lori's total earnings for the day would be the sum of her base salary and her tips. In this case, her total earnings would be $28+$54=$82.
10 points LAST QUESTION :DDDDDD
The Scale factor of Dilation is 3. What will be the four pairs of coordinates for the enlarged image? The center of dilation is 0,0, point of origin.
Answer:
Step-by-step explanation:
Danielle is using 2 quarts of water in a recipe. How many cups of water is she using
?
Answer: 8 cups
Step-by-step explanation:
4 cups to 1 quart, so 2 x 4 = 8
cesar is making a solution for his chenistry class. he puts 3/4 gram sodium chloride and 1/3 gram potassium chloride on the scale. what is the combined mass of the compounds?
The combined mass of the compounds is 13/12 grams
How to determine the combined mass of the compounds?From the question, we have the following parameters that can be used in our computation:
3/4 gram sodium chloride and 1/3 gram potassium chloride
The combined mass of the compounds is then calculated as
Combined mass = sodium chloride + potassium chloride
Substitute the known values in the above equation, so, we have the following representation
Combined mass = 3/4 + 1/3
Evaluate the sum
Combined mass = 13/12
Hence, the combines mass is 13/12 grams
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9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
What is the lowest common denominator of the math problem
6/9-2/3=
Answer:
Answer to 6/9-2/3= 0; Lowest common denominator = 3;
Step-by-step explanation:
You can only reduce 6/9 to 2/3, you cant reduce the fraction any further.
simplify 3*15-(3+5)/4-(3-2)
Answer:
13/10
Step-by-step explanation:
edg
Plz help me well mark brainliest if correct!!
Help I need done quick
Answer: 160
Step-by-step explanation:
I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.
Company A charges 125$ annual fee plus 7$ per hour car share fee. Company B charges 110$ plus 10$ per hour. What is the minimum number of hours that a car share needs to be used per year to make company a better deal?
Answer:
6
Step-by-step explanation:
Let the number of hours be [tex]x[/tex].
[tex]125+7x<110+10x \\ \\ 15+7x<10x \\ \\ 15<3x \\ \\ x>5[/tex]
So, the minimum is 6 hours.
HElp MY BRO NEEDS HELP... again -/
Answer:
27 cubic units
Step-by-step explanation:
Answer:
[tex]The ~ volume: 27~cubic ~units[/tex] ✔︎
Step-by-step explanation:
[tex](3)(3)(3)[/tex]
[tex]Multiply[/tex]
[tex]so, your~ answer ~will ~be ~27[/tex]
༄✫༄✫༄✫༄✫༄✫༄
hope it helps...
have a great day!!
I WILL GIVE BRAINLIEST!!!
Evaluate the expression
Answer:
39
Step-by-step explanation:
6a - b = 6 x 8 - 9 = 48 - 9 = 39
Answer: 39
Step-by-step explanation:
Given that a=8 and b=9
The expression is 6a-b
That is; we have to find 6 times a and then subtract b from it.
6a = 6*8=48
b=9
6a-b=48-9=39
Therefore the answer to the question is 39.