The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unknown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.
Answers
Answer:
EBM = +-54.126
Step-by-step explanation:
In this question we have confidence interval to be 80%
The formula to solve this is in the attachment.
Bar X = 1460
Z-alpha/2 = 1.282
Sd = standard deviation = 198 employees
n = 22 departments
After we have inserted all values in to the formula we have:
1460 +-(1.282*198/√22)
= 1460+-(54.12604)
= (1405.87, 1514.126)
The error bounded mean EBM
= +-z-alpha/2 x (sd/√n)
= 1.282 x 198/√22
= 1.282 x 42.22
EBM = +-54.126
Related Questions
PLEASEEEE HELPPPPPPPPPPPPPPPPPPPP
Answers
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price.
I'm not that good at math
Answers
So since the price of 5 mugs is $28.20, we can work out the price of one mug with the sale.
We do this by doing:
$28.20 / 5
Which gives us:
$5.64 per mug during the sale.
To work out the price of a mug without the sale, we simply add on the amount that has been taken off (which we know is $1.75 because the question says so):
$5.64 + $1.75 = $7.39
Therefore we can conclude the price of a mug without a sale is $7.39
And the price of a mug during the sale is $5.64.
I hope this helps!
The sum of two numbers is 60 and the difference is 6. What are the numbers?
Answers
Answer:
33 and 27
Step-by-step explanation:
60 ÷ 2 is 30
33 is 6 more than 27
Let the factors, a1, a2, … a9 of a9 be written in a square 3 by 3 array as indicated. Let a1 Help me plz
Answers
Answer:
61.2
Step-by-step explanation:
To solve this, we would have to use the arithmetic progression formula
S(n) = a + (n - 1) d, where
S(n) = is the value of the nth term
a = value of the first term
n = the nth term we're interested in
d = difference between successive terms
We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44
If so, we can use this to get our "d", saying
44 = 1 + (6 - 1) d
where
44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have
44 = 1 + 5d
5d = 44 - 1
5d = 43
d = 43/5
d = 8.6
This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term
S(n) = 1 + (8 - 1) 8.6
S(n) = 1 + 7 * 8.6
S(n) = 1 + 60.2
S(n) = 61.2
Therefore, the 8th term is 61.2
2 + 36 ÷ 12 - 6 = 8. where does the parenthesis go to make 8 the answer
Answers
Answer:
The parenthesis go around the 12 and 6, just like this. (12 - 6)
Answer- 2 + 36 ÷ (12-6)
Find the slope of the following line. y=−5x+6
Answers
Answer:
5 or [tex]\frac{5}{1}[/tex]
Step-by-step explanation:
In the formula y = mx + b, m stands for slope and b stands for y- intercept!
ANS: -5
Your last doctor visit cost $105 health insurance through your employer pay $84 and you pay the remaining $21 what percentage of the cost if you pay
Answers
Answer:20% percentage of the cost you pay .
Step-by-step explanation:
Formula
As given
Your last doctor’s visit cost $105.
Health insurance through your employer paid $84, and you paid the remaining $21.
Part value = $21
Total value = $105
Put all the values in the formula
Percentage = 20%
Therefore the 20% percentage of the cost you pay .
Answer: 20%
Step-by-step explanation:
(-2.4) - 0.8 times -4.3
Answers
Answer is this:
1.04
Nolan bought 7 packs of
Starbursts, x. He had a
total of 98 individual
Starbursts, y Determine
the constant of
proportionality and write
a linear equation to
represent the
relationship
Answers
14
Divide 98 by 7, you get 14.
This is how many starburst are in each packet.
A designer plans to create a new pattern of stitching a triangular piece of fabric shown in the figure above. She will stitch fabric in a straight line from the vertices of the triangle to the circumcenter of the triangle, located at point C, and then stitch an additional line of fabric back from the circumcenter to each vertex. How much fabric, in inches, will she need in total to create the design? (Note: Answer should be a whole number.)
Answers
Answer:
54
Step-by-step explanation:
The circumcenter is the middle to each vertex. So since they gave you 9 in. and you have to go back and forth on each line, that is 18 in. per line. Considering there are three lines, add all of them together (Or multiple 18 by 3) to get 54 in.
Any other Prepworks questions? :)
(IM GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!)
Watch the video of the can moving across the surface. What can the child do to create a greater force of friction?
*two hands moving a can back and forth on a table*
A) Make the table wet.
B) Place a cloth on the table.
C) Use less force when pushing the can.
D) Use more force when pushing the can.:(Inncorect)
(Here is an image) :
Answers
Answer:
i think its B
Step-by-step explanation:
D, C, and A are def wrong so i think its B
i hope i helped you!
Answer: that would be d
Step-by-step explanation:
What is the area, in square inches, of this kite?
7 in.
5 in.
5 in.
10 in
(pls help)
Answers
Step-by-step explanation:
I think its 85in as the area.
Find the measure of each angle indicated.
45°
?
Answers
Answer:
? = 45º
Step-by-step explanation:
top right angle = 180-45 = 135º
high middle left angle = 135º
high middle right angle = 45º
low middle left angle = 45º
low middle right angle = 135º
bottom left angle = 135º
bottom right angle = 45º
A proportional relationship is shown in the table below:
x:
0
1.3
2.6
3.9
5.2
y:
0
1
2
3
4.
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.
Answers
(13−0)
= 10/13
(10−0)
13,10
Slope of the given line is [tex]\frac{10}{13}[/tex] and the equation of the line is [tex]10x - 13y = 0[/tex].
What is the slope of a line passing through two points?The slope of a line(m) that passes through points (x, y) and (x, y) is
[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}}[/tex]
The given line passes through points (0, 1.3) and (0, 1).
Therefore, slope of the line is
[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}} = \frac{1 - 0}{1.3 - 0} = \frac{10}{13}[/tex]
Now, the line passes through the point (2.6, 2).
Putting this equation in slope-intercept form, we get:
[tex]2 = \frac{10}{13}(2.6) + c\\c = 2 - 2\\c = 0[/tex]
The equation of the line will be:
[tex]y = \frac{10}{13}x\\10x - 13y = 0[/tex]
Learn more about slope of a line here: https://brainly.com/question/21504186
#SPJ3
When 5(2x+3)-(x+4) simplified is?
Answers
Answer:
9x + 11
Step-by-step explanation:
5(2x+3)-(x+4)
10x+15-x-4 Use distributive property
10x-x +15-4 Combine like terms
9x + 11
Hope this helps!
brainliest be good peeps Calculate the missing term in each
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15
Answers
Answer:
10/55
6/7
9/12
10/15
HELP CALCULUS 25 POINTS
Answers
Answer:
A.) Max at x = 6 and Min at x = -6
Step-by-step explanation:
We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.
How do you solve 5(N+4)/3 = N-8
Answers
Answer:
n=-22
Step-by-step explanation:
rewrite the equation as 5(n+4) = n-8
3
now distribute the 5 through the parentheses 5n+20 = n-8
3
multiply each side by 3 5n+20=3n - 24
subrtact 3n from both sides 5n+20=3n - 24
-3n -3n
2n+20=-24
then subtract 20 from each side 2n +20=-24
-20 -20
Giving you 2n=-44 then divide both sides by 2
2n=-44 Giving you n=-22
2 2
what is the slopeof the function x=(-4) y=(-2)
Answers
Answer: The answer is -4. Hope this helps!
Suppose that you are asked to pick a card from a deck of 52 cards. Once you have selected a card, you place it face down on the table. You are then asked to selected another card from the deck. Is the event of you picking the first card going to affect the probability of the second card selected, why or why not? Are these events independent or dependent?
Answers
Answer:
Step-by-step explanation:
The second card is influenced by the first only in that you have not replaced the first card. That makes a difference.
1/52 is the probability for the first card.
1/51 is the probability for the second card.
They are independent events. Drawing the 7 of diamonds does not make the chances of drawing the Ace of Spades other than the 7 came first and the probability of getting the Ace is slightly larger.
Step-by-step explanation:
The only way the second card is influenced by the first is if you did not swap out the first card. That alters everything.
The likelihood of getting the first card is 1/52.
The odds of getting the second card are 1/51.
They happen separately. Other than the fact that the 7 came first and the odds of receiving the Ace is a little bit higher, drawing the 7 of diamonds does not increase the chances of drawing the Ace of Spades.
Which best describes the error in solving the system of linear equations?
Only the x-value is given.
The wrong value for x is given.
The blue line is graphed incorrectly.
The red line is graphed incorrectly.
Answers
Answer:
a. Only the x-value is given.
Step-by-step explanation:
Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.
The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.
Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.
Solution in coordinate pair form is (4, 3).
Therefore, the statement that describes the error is:
a. Only the x-value is given.
Little help here guy
Calculate volume
Answers
Answer/Step-by-step explanation:
Problem 1:
Radius = 4.8 cm
Height = 6 cm
Volume of cylinder (V) = πr²h
Plug in the values
V = π*4.8²*6 = 434.29 cm³
Problem 2:
Length of pipe = 26 cm
Internal diameter = 6.5 cm
Thickness = 0.5 cm
Pipe volume (V) = π(R² - r²)h
where,
R = Outer radius = ½(6.5) + 0.5 = 3.75 cm
r = inner radius = ½(6.5) = 3.25 cm
h = height = 26 cm
Plug in the values
V = π(3.75² - 3.25²)*26 = 285.88 cm³
Problem 3:
Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³
Height (h) = 16 cm
Radius (r) = ??
Volume of cylindrical can (V) = πr²h
Plug in the values
2,500 = π × r² × 16
2,500 = 16π × r²
Divide both sides by 16π
2500/16π = r²
49.7 = r²
Take the square root of both sides
√49.7 = r
r = 7.05 cm (nearest hundredth)
Problem 4:
The section of the guttering is ½ of a cylinder
Diameter = 14 cm = 0.14 m
Radius = ½(0.14) = 0.07 m
Volume = 20 litres = 0.02 m³
Length (h) = ??
Volume of the guttering = ½(volume of cylinder) = ½(πr²h)
Plug in the values
0.02 = ½(π*0.07²*h)
0.02*2 = 0.0049π*h
0.04 = 0.0049π*h
Divide both sides by 0.0049π
0.04/0.0049π = h
2.6 = h (nearest tenth)
Length = 2.6 m
Problem 5:
Height of the smaller cylinder (h) = 13 cm
Radius of the smaller cylinder (r) = ½(7) = 3.5 cm
Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³
Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder
Thus:
Volume of cylinder filled to height of 5cm = 500.3 cm³
height (h) = 5
radius (r) = ???
Therefore,
500.3 = π × r² × 5
500.3 = 5π × r²
500.3/5π = r²
31.9 = r²
√31.9 = r
r = 5.6 cm (nearest tenth)
Please answer very urgent!! answer using a / only 1 number for each slot example:3/4: wrong tho just random number but yeah please put the correct answer
Answers
Answer:
5/6
Step-by-step explanation:
to subtract fractions you change both fractions to the same denominator. The website arealdy did it for you. The second step is to subtract the top and put it over the common denominator. 8-3 is 5. 5/6
SURVEYS Alana surveyed several students to find the number of hours of sleep they typically get each night. The results are shown in the table. Make a bar graph of the data.
Answers
Answer:
You have to make a bar graph that shows the hours of sleep each student gets. Sharla gets the most sleep and Kate gets the least.
Step-by-step explanation:
Explanantion is in answer.
I know it's sloppy but here's mine!
sam has read 56 pages of a 224page book what percentage of the book has he read
Answers
Answer:
25%
Step-by-step explanation:
(56/224)*100
Answer:
25%
Step-by-step explanation:
56 pages of 224 pages
56/224
= 1/4
1/4 = 0.25
1/4 & 0.25 = 25%
Enter the sum of the numbers as the product of their GCF and another sum.
35 + 56
The sum of the numbers as a product of their GCF is . please help im on a test!
Answers
Answer:
8
Step-by-step explanation:
Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).
Who’s feeling the makeup look? cause i am!
Answers
Answer:
not me because its not my color
For a sample, the 95% confidence interval is (0.202, 0.482). What is the point estimate, \hat{p}, of this sample?
Answers
Answer:
The Point estimate p = 0.342
Step-by-step explanation:
For the sample, 95% confidence interval (0.202,0.482) . The Confidence interval width = (0.482 - 0.202) = 0.28
The margin of error = 0.28/2
The margin of error = 0.14
So, Point estimate p = Lower bound + Margin of error
Point estimate p = 0.202 + 0.14
Point estimate p = 0.342
Therefore, the Point estimate p = 0.342
5 people are sharing 12 kilograms of apples. How many kilograms of apples should each person get?
Answers
Answer:
2.4 kilograms
Step-by-step explanation:
5 people=12 kilograms
1 person= 12 divided by 5
Therefore, 1 person=2.4 kilograms
Which equation has a solution of 54.73 for n?
n +8 = 62.73
n - 8 = 62.73
62.73 + 8 = n
8-46.73 = n
Answers
Answer:
n + 8 = 62.73
the first one
Step-by-step explanation: