Twenty-five students were randomly selected and asked "How many hours of TV did you watch this weekend?" The sample mean for the data is 5 hours.
The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the
original sample.
45
6
S.S
Simulated sample mean
Distribution of Simulated Mean
• samples mean SD
500 4.969 0.288
Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (answer in the
format 0.123)
Answers
Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
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Related Questions
The graph shows a proportional relationship between the number of workers and weekly cost in dollars for a company. Use the points (6,4800) and (15,12000) to find the weekly cost for the company for each worker. Use pencil and paper. Describe what a unit rate is used for?
Answers
The weekly cost per worker is: $800
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
Recall:
Unit rate is calculated using: [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Unit rate represents the amount of a quantity compared to its unit of measure.
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
Since the relationship between number of workers and weekly cost is proportional, we would apply [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex] in determining the weekly cost per worker using the points, (6, 4800) and (15, 12000):
SubstituteUnit rate/weekly cost per worker = [tex]\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800[/tex]
Unit rate/weekly cost per worker = $800
In summary, the weekly cost per worker is: $800
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
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https://brainly.com/question/19154956
75% of what equals 30
Answers
Answer:
30 is 75% of 40
Step-by-step explanation:
We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75, x = 40.
And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.
Hey there!
75% of ? = 30
75% of x = 30
75/100 * x = 30
75 ÷ 25 / 100 ÷ 25 * x = 30
3/4 * x = 30
MULTIPLY 4/3 to BOTH SIDES
4/3 * 3/4x = 4/3 * 30
CANCEL out: 4/3 * 3/4 because that gives you 1
KEEP: 4/3 * 30 because it helps solve for your answer
x = 4/3 * 30
SIMPLIFY IT
x = 40
Therefore, 75% of [40] = 30
Answer: 40
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The graphs show information about the different journeys of 4 people.
a)
Which graph shows a person running then walking?
b)
Which graph shows a person who forgot something
and had to return home?
Answers
Answer:
A) b
B) c
Step-by-step explanation:
A) a large distance is covered in a short period of time but then the speed decreases
B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again
Help please
Answer question 2 please
Answers
On the list of facts, the second fact says "A quarter of the nuts are walnuts.".
A quarter of 956 is => 239 <= .
What is the solution to the following equation?
2(3х – 7) + 18 = 10
Answers
Answer:
x = 1
Step-by-step explanation:
2(3x - 7) + 18 = 10 ( subtract 18 from both sides )
2(3x - 7) = - 8 ( divide both sides by 2 )
3x - 7 = - 4 ( add 7 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
A roller coaster can take 209 passengers around the track in 11 minutes. How many passengers can the roller coaster take around the track per minute?
Answers
Finding it hard. I’d love some help and the answers. Thanks
Answers
for all of them its base times height
v=bh
1) (8*6/2)*9.5=228
2) (4.5/2)^2 *8= 40.5
3) (3.3* 8.3/2) *5.4= 74.0
4) ((3.2+4.8)/2)* 2.7 *4.4= 47.5
5. Use the point-slope formula to determine the equation of a line that passes through the points (1, 2) and (-2, 1).
Answers
Answer:
In point-slope form the equation is:
[tex]y - 2 = \binom{1}{3} \times (x - 1)[/tex]
Find out the value for brainiest
Answers
Answer:
126 degrees
Step-by-step explanation:
first we should find the measurements of these angles
so (I know these are the names of lines but there's no name for these angles, that's why I'm addressing them with the name of each one's nearest line name)
C= 90 degree
B= 65 degree
A= 79 (coz 180- 101= 79)
therefore D= ?
the total interior angle of a quadrilateral is 360
so 360- (90+ 65+ 79)
360- 234 = 126 degrees
How much money must be deposited at the end of each year if the objective is to accumulate $250,000 after 10 years? Assume interestis eamed at the rate of 10 percent compounded annually. How much interest will be eamed?
Answers
Answer:
Step-by-step explanation:
sasđdádd
if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answers
Answer:
Step-by-step explanation:
It's completely false. If I remember the odds it takes 23 people to get a probability of 1/2 to get a 50% chance of two of the people to have the same day, never mind the same year.
When I was growing up, I had the pleasure of sharing my birthday on the same day as one of my classmates. I was in Grade Three at the time. We were born in the same year. That's the only time I ever heard of it during my childhood. There were 26 in the class.
Later on when I was teaching I tried it in a class of 20. I had forgotten that the class contained a set of twins.
If the class is more random 23 people gives a 50% chance of a duplication of the year but not the year.
Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.
Mikey knows that the inequality representing this situation is 112+x≤260.
Select from the drop-down menu to correctly interpret the solution of this inequality.
Mikey's family can drive
at most 148
more miles before they need to refill the gas tank.
Answers choices are:
More than 372
More than 372
at most 148
at least 148
Answers
The solution to the inequality is that Mikey's family can drive at most 148
Inequality shows the non equal comparison of numbers or expressions.
Given that Mikey situation can be represented by the inequality:
112 + x ≤ 260
Solving the inequality:
112 + x ≤ 260
Subtract 112 from both sides of the equation:
112 + x - 112 ≤ 260 - 112
x ≤ 148
Hence from the inequality, we can see that Mikey's family can drive
at most 148
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14 out of the 70 people in a company meeting were managers. What percentage of the
meeting attendees were managers?
Write your answer using a percent sign (%).
Answers
Answer:
20%Step-by-step explanation:
14 out of 70 given as percentage:
14/70*100% = 20%Lets see
14/70(100)1/5(100)20%Find two solutions of y=2x-3
Point 1: (x,y) --->
Point 2: (x,y) --->
Answers
The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.
Point 1: (0,-3)
Point 2: (1,-1)
How to determine the domain and range of a continuous graph
Answers
Answer:
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
By the way this is not my work
Answers
Answer:
Use unit converter.
Step-by-step explanation:
A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
PLEASE HELP ITS STUDY ISLAND
Answers
Answer:
c r/ 3/5
Step-by-step explanation:
i think
In a bag of 50 marbles, 15 marbles are green or red.
What percentage of marbles are green or red?
Enter the missing values in the boxes to complete the ratio table.
Part____ Whole 50
Part____ Whole 100
Answers
Answer:
28% are green or red
Step-by-step explanation:
After three exams, Jenny has a mean score of 74. With only one exam remaining in the class, what is the
minimum score she will need on that exam to have an overall mean of 80?
Answers
The minimum score Jenny need on that exam to have an overall mean of 80 is 98.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, after three exams, Jenny has a mean score of 74.
Let the minimum score of the one exam remaining be x
Now, (3×74+x)/4 =80
⇒ 222+x=320
⇒ x=320-222
⇒ x=98
Therefore, the minimum score Jenny need on that exam to have an overall mean of 80 is 98.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
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(a) Write an equation of the line that passes through the point and is parallel to the given line.
(b) Write an equation of the line that passes through the point and is perpendicular to the given line.
Answers
9514 1404 393
Answer:
parallel: y = x -1perpendicular: y = -x -3Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
9514 1404 393
Answer:
parallel: y = x -1
perpendicular: y = -x -3
Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?
Answers
9514 1404 393
Answer:
55° : 70°
Step-by-step explanation:
The sum of the two other angles is ...
180° -55° = 125°
The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...
11×5° = 55°
14×5° = 70°
Answer:
55° and 70°
Step-by-step explanation:
A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?
the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.
11 * 5 = 55°
14 * 5 = 70°
--------------------
check
55 + 55 + 70 = 180°
the sum of the interior angles of a triangle is 180,
so
the answer is good
NEED HELP!! THANK YOU
Answers
Answer:
Expression: -7 + 8f - 2b - f + 3b + 6
# of Terms: 6
Like Terms: 8f and f, -2b and 3b, and -7 and 6
Coefficients: 8, 1, -2, and 3
Constants: -7 and 6
Expression: -11x + 4 + 8x - 4 + 3x
# of Terms: 5
Like Terms: -11x, 8x, and 3x & 4 and -4
Coefficients: -11, 8, and 3
Constants: 4 and -4
Step-by-step explanation:
The coefficient is the number in front of the variable.
The variable is any letter that you may see in an expression.
Terms are the numbers and variables, that are separated by the different signs.
Like terms are the terms that share the same variable/exponent.
Constants are the terms without variables.
Hope this helps you :)
Sorry if it's somehow wrong.
the ratio of milk to sugar in an iced coffee is 4 to 1. if you add 4 teaspoons of milk, how many teaspoons of sugar should you add?
Answers
Answer:
the answer is you need to add 1 teaspoon of sugar
Step-by-step explanation:
what is 1,623 x 2,908? please help
Answers
Answer:
1,623 x 2,908 = 4,719,684
Answer:
4719684
Step-by-step explanation:
Tell me if you want one.
what is 3/4 ÷ 1/6 plz help
Answers
Answer:
4.5
Step-by-step explanation:
Is this statement true or false? The expression 4x (x2 + 4x + 3) is a polynomial. O True O False
Answers
Answer:
Step-by-step explanation:
If you remove the brackets you get
4x^2*x^2 + 4x*4x + 3*4x
4x^4 + 16x^2 + 12x
That definitely is a polynomial
In its factored form, one of the factors is a polynomial so the answer is true.
Which value of x is a solution of the inequality?
3x−3≥9
Answers
Answer:
It's probably X since X doesn't have a written number for it it equals 1.
Step-by-step explanation:
How many groups of 3/4are in 11/4
Answers
Answer:
12
Step-by-step explanation:
there are 12 3/4 on 11/4
If the silver accounts for 84% of the bar's weight, what is the weight of the silver?
Answers
silver=84%of the total weight
silver=(84/100)×8.15 ounces
silver= 0.84×8.15 ounces
silver=7.5795 ounces
silver=7.580 ounces (rounded to nearest thousandth)
Answer:
Step-by-step explanation:
The answer is
what is the speed of light?
Answers
Answer:
The universal physical constant c, or the speed of light in vacuum, is essential in many fields of physics. It has a precise value of 299792458 metres per second.
Step-by-step explanation:
Answer:
299 792 458 m / s
Step-by-step explanation:
In terms of sig figs, it can be 3.0 * 10^8 m/s