Noise levels at 4volcanoes were measured in decibels yielding the following data:152,157,157,158Construct the 90%confidence interval for the mean noise level at such locations. Assume the population is approximately normal.Step 3 of 4:Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
t critical = 2.353
CI = (152.82 , 159.18)
Step-by-step explanation:
We are required to find the t critical value and also confidence interval
The sample mean is = 152+157+157+158/4
= 156
The standard deviation is 2.7
At a confidence level of 90%, we have α = 1 - 0.90 = 0.1
α/2 = 0.1/2 = 0.05.
Degree of freedom = 4-1 = 3
When we look this up in the t critical value table,
t critical = 2.353
Next we have to find the confidence interval
CI = (156 - 2.3530 x 2.7/√4 , 156 + 2.353 x 2.7/√4)
= 156-3.17655, 156+3.17655
CI = (152.82 , 159.18)
Upper bound = 159.18
Lower bound = 152.82
Related Questions
A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/6, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?
Answers
Answer:
0.533 miles/min
Step-by-step explanation:
Calculate how fast the balloon is rising at the moment : dy /dt
location from the lift-off point = 4 miles
angle between the observer's line-of-sight and the horizontal ( ∅ ) = [tex]\frac{\pi }{6}[/tex]
d∅ / dt = 0.1 rad/min
tan ∅ = y / 4
derivate
sec^2 ∅ . d∅ / dt = 1/4 . dy/dt
= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt
= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt
dy/dt = 8 / 15 miles/min
A meal at a restaurant cost $34.50, before tip. You decide to leave the server an 18% tip. What is your total bill?
Answers
with that being said, 34.50 + 6.21 = 40.71
the total cost is $40.71
Help me please I don’t . Get so please give me the answer
Answers
Answer:
1953125
Step-by-step explanation:
Answer:
5⁹ =5⁴
5⁵
Step-by-step explanation:
this is my answer
What is 1.3*10^4 in standard notation
A. 1.3^4
B. 13,000
C. 0.00013
D. 1300
Answers
Answer:
13000
Step-by-step explanation:
If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000
One zero added is one power in scientific notation
Answer:
C. 13,000
Step-by-step explanation:
You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros
The cougars baseball team played 16 games last year and won 12 of them. They are scheduled to play 28 games. If they end up winning the same percentage,how many games will they win? Pls help ASAP!!
Answers
12/16=.75
21/28=.75
Which of the following fractions is closest to
5/8
2/3
13/20
11/16
Answers
1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
a. Identify the coordinates of the x- and y- intercepts for the depreciation equation.
b. Determine the slope of the depreciation.
c. Write the straight-line depreciation equation that models this situation.
Answers
Answer:
a. y-intercept = 23350 and x-intercept = 13
b. [tex]m = -\frac{23350}{13}[/tex]
c. [tex]y = -\frac{23350}{13}x + 23350[/tex]
Step-by-step explanation:
Given
[tex]Years = 13[/tex]
[tex]Total\ depreciation = \$23350[/tex]
Solving (a): The x and y intercepts
The y intercept is the initial depreciation value
i.e. when x = 0
This value is the value of the car when it was initially purchased.
Hence, the y-intercept = 23350
The x intercept is the year it takes to finish depreciating
i.e. when y = 0
From the question, we understand that it takes 13 years for the car to totally get depreciated.
Hence, the x-intercept = 13
Solving (b): The slope
The slope (m) is the rate of depreciation per year
This is calculated by dividing the total depreciation by the duration.
So:
[tex]m = \frac{23350}{13}[/tex]
Because it is depreciation, it means the slope represents a deduction.
So,
[tex]m = -\frac{23350}{13}[/tex]
Solving (c): The straight line equation
The general format of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
[tex]b = y\ intercept[/tex]
In (a), we have that:
[tex]y\ intercept = 23350[/tex]
In (b), we have that:
[tex]Slope\ (m) = -\frac{23350}{13}[/tex]
Substitute these values in [tex]y = mx + b[/tex]
[tex]y = -\frac{23350}{13}x + 23350[/tex]
Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]
On a map, 12 inch represents 45 mile.
What distance on the map represents 1 mile?
25 in.
58 in.
135 in.
212 in.
I'll give brainlyest.
Answers
Answer: 5/8 inch represents 1 mile
Step-by-step explanation:
to get 1, multiply 4/5 by its reciprocal, 5/4
Then multiply 1/2 by 5/4
1/2 × 5/4 = 5/8
Answer: The correct answer is 5/8
Step-by-step explanation: Answer verified as correct on test
Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me
Answers
Refer to question: https://brainly.com/question/18999872
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd
Find the number of miles per hour in each of the following cases,
100 miles per hour 200 miles per hour 900 miles per hour
000 miles in 9 hours
9000 miles in 00 hours
100 miles in 5 hours
Answers
100 miles
100 miles
100 miles
100 miles 100 miles
100 miles ok?
Harpo, Groucho, Chico, Zeppo, Gummo and Karl are the finalists in the fabulous Clearers’ Publishinghouse sweepstakes.
Two prizes will be awarded: the Grand Prize and the Even Grander Prize. The prizewinners will be randomly selected (and it is possible that one person may win both prizes).
How many outcomes are possible?
Answers
Answer:
ADGTSGADADASDAWDSDWA
Step-by-step explanation:
AADASDWADS
What is the least common denominator of 5/6 and 3/8?
Answers
Answer:
Step-by-step explanation:
5/6 and 3/8 LCD is 24
What’s the slope of the line on the graph?
Answers
ILL GIVE BRAINLIEST FOR BEST AWNSER!!!
A football player kicks a ball with a force of 50 N
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?
Answers
Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.
Step-by-step explanation:
Write the slope intercept form of the equation of the line through the given point plz
Answers
Scores on a standard IQ test are normally distributed with a mean of 100 and a standard deviation of 15. To the nearest integer value, how high must you IQ be to fall within the top 5% of scores.
Answers
Answer:
25
Step-by-step explanation:
because I go it wrong and the quiz told me the answer was 25. Pog. I am just as confused.
Among various populations of plants or animals, diseases spread exponentially. Use the function y = 8000(1 - e^-0.03t) to model the spread of Common Corn Rust through a field of 8000 corn plants, with t equal to the number of days since the first case of the disease. How many plants will be infected with Common Corn Rust after 10 days?
Answers
Answer:
It's 2073 on edge2020
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
on edge 2020
HELPP ASAP
The equation for line j can be written as y=2x+8 another line k is perpendicular to the line j and passes through the point
(6;-6) choose the equation for line k.
A) y=1/2-3
B) y=-1/2-3
C) y=-2-3
D) y=-3/2+3
Answers
Answer:
b
Step-by-step explanation:
make the slope opposite and plug in the points to find b.
workout the value of (10^4)^2
Answers
Answer: the answer is 100000000
Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000
There is a playground behind Jayden’s school where kids go outside for recess. The playground is 85 feet wide and 236 feet long. Jayden is curious if the playground has an area of more or less than 20,000 square feet. Does it? Show and explain how you know.
Answers
Answer:
Yes
Step-by-step explanation:
A = L x W
A = 236 x 85
A = 20,060
20,060 is more than 20,000 so yes
Please graph this and if you do I'll give you brainliest (If you just say deijos or not enough info I will report and you may get banned *You have been warned* Please help though if you can.
Answers
Answer:
[tex]use \: the \: following \: ponts \: to \: graph \\ \: the \: equation \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]
Step-by-step explanation:
[tex]when \: \boxed{f(x) = 3x - 5} : \: if \: \boxed{x \leqslant - 1} \\then \to \: \boxed{x = - 1} \\ f(x) = 3( - 1) - 5 \\ f(x) = - 4 - 5 \\ f(x) = - 9 \: ......... \: hence \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\. \\ . \\ . \\ when \: \boxed{f(x) = - 2x + 3} : \: if \: \boxed{ - 1 < x < 4} \\then \to \: \boxed{x = 1} \\ f(x) = - 2( 1) + 3 \\ f(x) = - 3 + 3 \\ f(x) = 0 \: ......... \: hence \to \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ . \\ . \\ . \\ when \: \boxed{f(x) = 2 } : \: if \: \boxed{ \geqslant 4} \\then \to \: \boxed{x = 4} \\ f(x) = 2 \: ......... \: hence \to \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]
Find the domain of the function. g(x)=√2+x Write your answer using interval notation.
Answers
Answer:
2+x=O
x= -2
x€ Real number [-2+ infinite )
Answer:
[tex]x\geq -2[/tex]
Step-by-step explanation:
[tex]g(x)=\sqrt{2+x}[/tex]
We know we can only take the square root of a number greater than or equal to 0.
[tex]2+x\geq 0\\x\geq -2[/tex]
the number of successes and the sample size are given for a simple random sample from a population. determine the sample proportion for x
Answers
Complete Question
The number of successes and the sample size for a simple random sample from a population are given below. x-4, n 200, [tex]H_o[/tex]: p- 0.01, Ha p>0.01, a 0.05 . determine the sample proportion of x
Answer:
The sample proportion of x is [tex]\^ p = 0.02[/tex]
Step-by-step explanation:
From the question we are told that
The number of success is x = 4
The sample size is n = 200
The null hypothesis is [tex]H_o : p = 0.01[/tex]
The alternative hypothesis is [tex]H_a : p > 0.01[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion of x is mathematically represented as
[tex]\^ p = \frac{x}{n}[/tex]
=> [tex]\^ p = \frac{4}{200}[/tex]
=> [tex]\^ p = 0.02[/tex]
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
Answers
Answer:
It is the first one 15 is the y intercept slope 8/1
How do I know if the triangles are simulat
Answers
Answer:
triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal
Step-by-step explanation:
Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Consider the line y=5x -3
Answers
Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y=5x-3[/tex]
The general form of equation of line in slope-intercept form is written as:
[tex]y = mx+b[/tex]
Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form
[tex]y = m_1x+b[/tex]
[tex]y=5x+b[/tex]
To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)
[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]
Putting the value of b and m1, we get
[tex]y = 5x+37[/tex]
Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]
If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper
Answers
Answer:
b
Step-by-step explanation:
this is for the 20 characters thing
A music store has 1,440 CDs. Each CD rack holds 90 CDs. How many racks does the store need to use to hold all the CDs?
Answers
Answer:
16 cd racks
Step-by-step explanation:
1,440%90
(-4)100x(-4)20 answer in exponential form please
Answers
Answer:
the answer is (-4)^120
Is a = 8 a solution to the inequality below? 4 > a -6
Answers
Answer:
yes because the equation will equal 2