Answer:
18
Step-by-step explanation:
hope this helps
A random sample of 10 fields of corn has a mean yield of 22.5 bushels per acre and standard deviation of 5.84 bushels per acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value that should be used in constructing the confidence interval is T = 3.25.
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre
The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
Write the first six terms of the arithmetic sequence with the given first term, , and common difference, d.
9514 1404 393
Answer:
340, 250, 160, 70, -20, -110
Step-by-step explanation:
The first term is given. Each successive term is found by adding the common difference to the one before.
[tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]
What is an equation of the line that passes through the point (-4,5) and is
perpendicular to the line 4x + y = 7?
A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. The company uses, on average, 28,134.4cm3 of steel each hour to make these rods. How many rods does the company make, on average, each hour? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest hundredth
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
I need help on this.
Answer:
the first one
Step-by-step explanation:
how fast does it take a baseball to reach the plate, when pitched by a professional pitcher in baseball?
Answer:
The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!
Parrots can develop cognitive issues as they get older. This may compromise their memory, ability to learn, awareness, sight, and hearing. A researcher wishes to conduct a study to find which of two medicines, Medicine A or Medicine B, is more effective in improving cognitive health. A total of 150 parrots that are at least 12 years old will be randomly selected from sanctuaries around the United States. The researcher will get consent from all owners, treat the parrots for 1 year, and evaluate changes in cognitive health. Part A: How would the study benefit from adding a control group
Answer:
Ascertain the effectiveness of the treatment
Step-by-step explanation:
A control group is usually used in experimental. Research usually to establish a higher level of assurance or confidence in one's findings. The control group may be explained as that group in an experiment which do not receive the treatment given to the other group or groups, they may also be called the placebo group. Therefore, adding a control group, the treatment groups (Medicine A and Medicine B) would be weighed against the group which does not receive either of the two medicines.
How to slove this question
y is inversely proportional to the square of p, can be written as: y = O True O False
Answer:
False
Step-by-step explanation:
It should be ∝ .. if that’s what your asking
Bro
I’m lazy and I don’t wanna do it if someone can do it it would mean a lot
Answer:
Option 2.
Step-by-step explanation:
X is a number greater than the equality. Therefore the arrow will go to the bigger side. It also is not equal to the equality hence the cirle is open.
Answer:
I feel ya. It's the second one. Have a nice day.
Step-by-step explanation:
NeverReady batteries has engineered a newer, longer-lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Your statistics class questions this claim. You randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly,
Answer:
the probability is 0.0202
Step-by-step explanation:
The computation is shown below:
Given that
The Average life span = 17 hours
Standard deviation = 0.8 hours
Sample = 30 batteries
Sample mean = 16.7 hours
Now based on the above information
The probability is
[tex]P (\bar x \leq 16.7) = P (\frac{\bar x - \mu}{(\frac{\sigma }{\sqrt{n} } )} \leq (\frac{16.7 - \mu}{(\frac{\sigma }{\sqrt{n} } )}\\\\= P(z\leq \frac{16.7-17}{\frac{0.8}{\sqrt{30} } } )\\\\= P(\leq -2.05)\\\\= 0.0202[/tex]
Hence, the probability is 0.0202
In a right triangle, the length of the hypotenuse is
12 and the length of one leg is 8. What is the
length of the other leg?
quiz 8-2 trigonometry unit 8
Answer:
The results are presented below.
Question 1 - sin L = [tex]\frac{3}{5}[/tex]
Question 2 - tan N= [tex]\frac{4}{3}[/tex]
Question 3 - cos L = [tex]\frac{4}{5}[/tex]
Question 4 - sin N= [tex]\frac{4}{5}[/tex]
Question 5 - x=8.5
Question 6 - x=27.2
Step-by-step explanation:
For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.
Question 1This question asks the sin L. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]
Question 2This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:
[tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]
The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.
[tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]
There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.
[tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]
Question 3This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:
[tex]cos L=\frac{adjacent}{hypotenuse}[/tex]
The adjacent side (ML) you found in the question 2. ML=8, therefore:
[tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]
Question 4This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]
Question 5You can find x from the trigonometric ratio of cos :
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]
From calculator, you have cos 32° = 0.8480. Then,
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]
Question 6You can find x from the trigonometric ratio of sin:
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]
From calculator, you have sin 54° = 0.8090. Then,
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]
Learn more about trigonometric ratio here:
brainly.com/question/11967894
Answer:
Step-by-step explanation:
Which one is not a function? DONT USE THE LINK SCAM, I really need help
I need help with this multiple choice question I would really appreciate it if you help!
Step-by-step explanation:
B. not a rational number
What is 7x^2-5 can u pls tell me I need help
Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!
Answer: Rectangle and Parallelogram
Step-by-step explanation:
Answer:
One could be a parallelogram that does not contain an internal right angle and the other a rectangle.
Step-by-step explanation:
Help and quick! What is the greatest common factor of these numbers. 36 and 54
Answer:
18
Step-by-step explanation:
have a good day :)))))))
Answer:
18
Step-by-step explanation:
the gcf is 18
have a great day!
girlcome 5324611502
p:here
Answer:
No thanks ~~~~~~~~~~~~
Can someone help me pls
Do they want you to label everything, what are they looking for?
PLS HELP THIS IS DUE IN 10 MINUTES NUMBER 3 AND NO LINKS PLS
Answer:
A. -1/8x + 3/16
Step-by-step explanation:
-1/2(1/4x - 3/8)
Distribute the -1/2 into both the terms in the equation.
-1/2 * 1/4x = -1/8x
-1/2 * -3/8 = 3/16
Now combine both the expressions.
This makes your answer A,
[tex]-\frac{1}{8}x+\frac{3}{16}[/tex]
what is the distance between the points (-7,3) and (4,-5)
Answer:
The distance is 185 between the points (-7,3) and (4,-5)
Step-by-step explanation:
Answer:
Hi! The answer to your question is [tex]\sqrt{185}[/tex]
Step-by-step explanation:
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?
Answer:
3^81 is bigger
Step-by-step explanation:
3^81=4.43426488e38
9^27=5.8149737e25
The multiplication rule of counting indicates that the product of the outcomes of each event gives the total number of possible outcomes for the series of all 5 events. There are 5 outcomes for the first city, 4 outcomes for second city, 3 outcomes for the third city, 2 outcomes for the fourth city, and 1 outcome for the final city.
Write the product of the outcomes.
(first city) · (second city) · (third city) · (fourth city) · (final city)
= 5 · 4 · 3 · 2
Note that factorial notation can be used here, since we have the product of consecutive decreasing counting numbers.
Recall that
n! = n(n − 1)(n − 2) 1.
Here,
n = 5
and
5! = 5 · 4 · 3 · 2
Step 3
Multiply to find the total number of possible outcomes.
5! = 5 · 4 · 3 · 2 · 1
= ?
So by the multiplication rule of counting, the sales representative has different choices for the order in which to visit the cities.
Answer:
third city
Step-by-step explanation:
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answer:
3/36 -> 1/12 or 2/36 -> 1/18
Step-by-step explanation:
1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed
Help me with the math pretty easy
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Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
C. when L =5, W = 3, H = 2
Step-by-step explanation:
2(wl + hl + hw)
2(15+5+3) = 46
2(4+12+12) = 56
2(15+10+6) = 62
Find the mean for the data set. 19, 17, 17, 17, 17, 17, 13, 15, 16, 22, 18
Answer:
The mean is 17.091
Step-by-step explanation:
What is equivalent to -2(x-5)?
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
Distribute
-2*x -2*-5
-2x+10
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Answer:
can we see the text and part a
like you know the question is asking abt that