The current unemployment rate in the country is approximately 8%. A local newspaper reports that in an SRS of 4,000 people in your city, they have a margin of error in their confidence interval of 1%. What is the confidence level that they used in their report?
Provide work
Answers
Step-by-step explanation:
To determine the confidence level that the newspaper used in their report, we need to use the margin of error and sample size to calculate the standard error and then use a standard normal distribution table to find the corresponding confidence level.
The formula for the margin of error is:
Margin of Error = Critical Value * Standard Error
Where the critical value depends on the level of confidence, and the standard error is the standard deviation of the sample mean, given by:
Standard Error = Standard Deviation / sqrt(Sample Size)
We can estimate the population standard deviation using the sample proportion, given by:
Standard Deviation = sqrt((p * (1-p)) / n)
where p is the proportion of individuals in the sample who are unemployed, which we can estimate using the sample proportion of unemployed individuals.
Since we don't have this information, we can use a conservative estimate of p = 0.5, which will give us the maximum possible standard deviation.
Therefore, the standard error can be estimated as:
Standard Error = sqrt((0.5 * (1-0.5)) / 4000) = 0.0125
Using the margin of error of 1%, we can solve for the critical value:
0.01 = Z * 0.0125
Z = 0.01 / 0.0125 = 0.8
Looking up the corresponding value in a standard normal distribution table, we find that the confidence level is approximately 77.5%.
Therefore, the newspaper most likely used a confidence level of 77.5% in their report.
Related Questions
If you have 10 tennis players in a round-robin tournament. How many games will they need to play before each player has played every other player?
Answers
Answer:
6
Step-by-step explanation:
i just had the same question :)
What is the maximum of f(x)=sin(x)
Answers
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
https://brainly.com/question/21902442
https://brainly.com/question/29529184
https://brainly.com/question/23214084
I am stuck please help with this graph.
Answers
An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.
How to interpret and determine the equation of g(x)?By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;
f(x) = |x|
y = A|x + B| + C
g(x) = -1/4|x + 1| - 2
In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.
Read more on absolute value function here: brainly.com/question/28308900
#SPJ1
can someone help me with this
Answers
The sine equation for the object's height is given as follows:
d = -5sin(0.24t).
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(Bx) + C.
The parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: vertical shift.The amplitude for this problem is of 5 inches, hence:
A = 5.
The period is of 1.5 seconds, hence the coefficient B is given as follows:
2π/B = 1.5
B = 1.5/2π
B = 0.24.
The function starts moving down, hence it is negative, so:
d = -5sin(0.24t).
More can be learned about trigonometric functions at brainly.com/question/21558626
#SPJ1
the diagonals of a rectangle ABCD meet at O if AO=(2x+3)cm and DO=(5x)cm find the length of its diagonals also find the perimeter of the rectangle if AB=8cm.
Answers
Step-by-step explanation:
AO = DO
2x+3 = 5x
3 = 5x-2x
3 = 3x
x = 1
DO = 5(1)=5cm
AC = 2×5 = 10cm
BC =√10²-8²
= √100-64
=√36
=6 cm
therefore, the perimeter of the rectangle
= 2×(8+6) = 2(14) = 28 cm
243.6 ÷ ________ = 02.436
Answers
Answer:
...........100.........
Step-by-step explanation:
243.6 ÷100=2.436 we don't use 0 before positive number
What is the 24th term of -21, -14,-7,0,7,…
Answers
Answer:
140
If that's wrong, try 147
Step-by-step explanation:
With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):
\(y=7x-28\\\),
where our m (slope) is 7, and our b (y-intercept) is -28.
If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.
Hope this helps!
let f(x)=3x^2-6x+5 what is the leading coefficient
Answers
1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
Answers
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
Read more about Degree of Polynomials at: https://brainly.com/question/1600696
#SPJ1
the following are the populations for the top twelve largest cities in the u. s. new york city, ny: 8,336,817 los angeles ca: 979.576 chicago, il:2,693,976 houston, tx: 2,320,268 phoenix az: 1,680,992 philadelphia pa: 1,584,064 san antonio tx: 1, 547,253 san diego ca: 1,423,851 dallas tx: 1,343,573 san jose ca: 1,021,795 austin tx:978,908 jacksonvill fl: 911,507. what is the mean population?, what is the median population?, what is th emode?, what is range?, what is the standard deviation?
Answers
The mean population in the U.S. is 2,068,548.
The median population in the U.S. is 1,565,659.
There is no mode in the dataset.
The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.
What are the centre of measures of the states?To find the mean population, we need to sum up all the populations and divide by the total number of cities.
Mean = EF / n
Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507
Mean = 24, 822,580 / 12
Mean = 2068548.33333
Mean = 2,068,548
Arranging populations in ascending order:
\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)
Median population = (1,547,253 + 1,584,064) / 2
Median population = 1,565,658.50.
The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.
Standard Deviation:
\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)
\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)
Read more about centre of measures
brainly.com/question/15214370
#SPJ1
A baker has small and large bags of sugar for making cakes. The large bag contains 30 cups cups of sugar and is 2.5 times larger than the small bag. The small bag contains enough sugar to make 9 cakes and have 0.75 cups of sugar remaining. How many cakes can be made with a large bag of sugar?
Answers
Answer:
Step-by-step explanation:
The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.
What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.
9x + 0.75 = 12
First, subtract 0.75 from both sides. With that, we can solve for x directly.
9x = 12 - 0.75
9x = 11.25
Now, divide both sides by 9.
x = 11.25/9
x = 1.25
With that, we now know that each cake needs 1.25 cups of sugar.
With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.
With that done, we have our answer. 24 cakes can be made with a large bag of sugar.
I hope this helps! (⌒ω⌒)
Which drawing wouldn’t be useful to find the area of this trapezoid? and why ?
Answers
Answer:
C
Step-by-step explanation:
Though you may think that u can change that piece to there, but the possibility is very less
The length of a rectangle is 9 inches and its perimeter is 48 inches. What is the width of the rectangle?
A. Let x represent the unknown width of the rectangle. Write an equation that can be solved for the unknown measurement.
B. Solve your equation to find the width of the rectangle. Show all your work.
THIS IS FOR A GRADE!!!!! PLS HELP!!!!!!!!!! I WILL GIVE BRANILEST TO WHOEVER ANSWERS
Answers
Answer:
The width is 15 inches long
please help I will give a lot of points
btw its 2 questions
Answers
Answer:
please wait two mins I will give you the answer, but which question 2 or 3
Which expressions are equivalent to –9
(2/3x+1)? Check all that apply.
Answers
Answer:
-18/3x - 9
Step-by-step explanation:
-9(2/3x + 1)
Expand.
-18/3x + -9
Hi can someone please help me with this!!! I'm struggling with this!
I really appreciate it!!!
Find the value of a, m, x
Answers
Answer:
Refer to pic..........
Object A is moving at 30 ft per sec. Object B is moving at 20 mph.
Answers
Answer:
what we have to find or to prove.
1.
What is the common difference of the sequence 4, 11, 18, 25, 32?
9
7
8
14
Answers
Answer: 7
Step-by-step explanation: its correct, trust me
If h(x) = -2x + 6, find x if h(x) = 12.
Answers
\(-2x+6=12\\2x=-6\\x=-3\)
Number two and three please asap
Answers
Answer: h and d
Step-by-step explanation:
the answer is correct because it shows it please give this a like
What is the probability of spinning a yellow?
Answers
An entire circle = 360 degrees
360/8=45
So I think the answer should be 45%
Answer:
number of total colour = 8
number of yellow colour = 1
the probability of spinning a yellow is :
p(y) = 1/8
in percentage it will be :
(1×100)/8
= 12.5 %
the martin fruit co charges 7% commission for selling fruit. the commission for selling 516 crates of oranges at 16.30 per crate is:
Answers
Answer:
588.76
Step-by-step explanation:
Commission is 7% of total
Total selling price of 516 crates of oranges:
516*16.3 = 8410.8Commission amount:
0.07*8410.8 ≈ 588.76find by a digit to make the number divisible by 3 1234?
Answers
A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.
To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.
Let's calculate the sum of the digits in 1234:
1 + 2 + 3 + 4 = 10
The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.
To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.
The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.
1234 + 2 = 1236
we obtain the number 1236, which is divisible by 3.
For more such questions on divisible
https://brainly.com/question/29373718
#SPJ8
3 ice cream cones cost $ 8.25
At this rate , how much do 2 ice cream cones cost ?
Answers
Answer:
The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.
Step-by-step explanation:
Answer:
5.50
Step-by-step explanation:
8.25 divided by 3 =2.75
Then take 2.75 and multiply it by 2 and you get your answer which is 5.50
The following table shows the number and type of properties available in three cities.
City
Key West
Orlando
Miami
Write a matrix that represents the number of each type of property available in Key West.
Answers
[ 3 9 13 ] is the Matrix showing all types of property available in key west .
What is matrix ?A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.
Calculationgiven in the table that how many types of property are there in the table
its a simple matrix which u can directly see
its a 3 x 1 matrix ...
[3 9 13] this matrix shows the required value
hope this helps...
learn more about matrix here :
brainly.com/question/28180105
#SPJ13
Answer: [3 9 13]
Step-by-step explanation:
perimiter question asap answer
Answers
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
Learn more about Perimeter here:
https://brainly.com/question/7486523
#SPJ1
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?$14,080$17,600$19,800$26,400
Answers
Answer:
$14,080
Step-by Step Explanation:
Answer:
$14,080
Step-by-step explanation:
Hope this helps.
What has no solutions in common with 6x+2y=12
Answers
Answer:
-6x - 2y = 12
Step-by-step explanation:
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Answers
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
Jamie Rented a jetski. It costs 25$ to rent the boat plus $5.50 per hour. He also rents y number of life jackets for $6 each. How much would it cost jamie to rent a jetski for 3 hours and rent 2 life jackets? PLEASE HELP AND WRITE THE ANSWER AS DOLLARS AND CENTS.
thanks.
Answers
Answer:
200-25= 175
175/35= 5 hours
Step-by-step explanation:
Hope it helps