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
2
Technology required. A plane leaves the ground with an elevation angle of 6 degrees.
The plane travels 10 miles horizontally.
a. How high is the plane at the time?
b. What is the distance of the plane's path?
Round answers to the nearest tenths.
How high is the plane at this time?
miles
What is the distance of the plane's path?
miles
Answers
The height of the plane at that time is 1.1 miles
The distance of the plane's path is 10.1 miles
The situation forms a right angle triangle.
Using trigonometric ratio,
tan 6° = opposite / adjacent
The height of the plane is the opposite side of the triangle. The adjacent
side is the distance travelled horizontally. Therefore,
tan 6° = h / 10
cross multiply
h = 10 tan 6°
h = 10 × 0.10510423526
h = 1.05104235266
height of the plane at that time = 1.1 miles
The distance of the plane path is the hypotenuse of the triangle formed.
Therefore,
c² = a² + b²
c² = 10² + 1.1²
c = √101.21
c = 10.0603180864
c = 10.1 miles
plane's path = 10.1 miles
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A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 7
Answers
Answer: Probability is 4/12, or 1/3
helpppppppppp WILLLL GIVE BRAINLISTTTTT
Answers
3x=9
If you wanted to go further then it would be x=3 but for this I’d say the answer is 9
-6x - 3= 27
Help pless
Answers
Answer:
x=-5
Step-by-step explanation:
-6x-3=27
add 3 to both sides
-6x=30
divide both by -6
x=-5
I hope this helped :)
Answer:
[tex] \sf \: x = - 5[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -6x - 3 = 27
Then the value of x will be,
→ -6x - 3 = 27
→ -6x = 27 + 3
→ -6x = 30
→ x = 30 ÷ (-6)
→ [ x = -5 ]
Hence, the value of x is -5.
Paul was thinking of a number. Paul adds 1.2 to the number the doubles the result to get an answer of 68.3. Form an equation with x from the information
Answers
Answer:
(x+1.2)2=68.3
Step-by-step explanation:
(x+1.2)2=68.3
-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence
Answers
Answer:
[tex]n^2 -3n - 6[/tex]
Step-by-step explanation:
Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).
Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).
Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of [tex]n^2[/tex] is 1, so 1[tex]n^2[/tex] or just [tex]n^2[/tex] .
If you write out the values of [tex]n^2[/tex], you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.
n = 1, 2, 3
x = -8, -8, -6
[tex]n^2[/tex] = 1, 4, 9
Work out the difference between [tex]n^2[/tex] and x:
1 - -8 = 9
4 - -8 = 12
9 - -6 = 15
This gives you yet another linear sequence, 9, 12, 15.
Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.
Because [tex]n^2[/tex] is greater than x, you need to take 3n + 6 away from [tex]n^2[/tex].
This gives [tex]n^2[/tex] - (3n+6), so the final answer is:
[tex]n^2[/tex] - 3n - 6.
Determine the period of the following graph.
Answers
Because it’s true, and I’m smart
What is the equation of this line?
Answers
Answer:
y = 1/2x - 3
Step-by-step explanation:
Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm
Answers
Answer:b
:D
Step-by-step explanation:d
504
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’s 100/100 in simplest form
Answers
Explanation
It’s just 1
Answer:
1 or 1/1.
Step-by-step explanation:
100/100 simplest form is 1.
We know this because 100/100 is 1. You could just do 1/1.
100/100 to 10/10 to 1/1 which is 1.
help me plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is B. just to keep it short B.
Given f(x) and g(x) are inverse functions. If f(-2)=1 then g(1)=-2
True
False
Answers
True.
The y-axis of the f(x) must equal to the x-axis of g(x)
The x-axis of the f(x) must equal to the y-axis of g(x)
A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
Answers
Step-by-step explanation:
let v is the speed of the wind,
the equation of the speed:
(550 + v ) × 5 = (550 - v) × 6
2750 +5v = 3300 - 6v
11v = 3300 - 2750
11v = 550
v = 550/11
v = 50
therefore, the speed of the wind =
50 mph
Step-by-step explanation:
v = speed of the wind5(550 + v) = 6(550 - v)
2.750 + 5v = 3.330 - 6v
5v + 6v = 3.300 - 2.750
11v = 550
v = 550 ÷ 11
v = 50mph
help me due today it is math
Answers
Answer:
B, C, and D.
Step-by-step explanation:
a)
d + 2 = 7
d = 5
b)
10 - d = 6
-d = -4
d = 4
c)
20 / d = 5
20 = 5d
4 = d
d)
4d = 16
d = 4
Hopefully this helps!
Brainliest please?
3/15 as an improper fraction
Answers
Answer:
3/15 cannot be simplified as an improper fraction because ethe denominator is greater than the numerator. However, we can simplify 3/15 as a fraction
=> 3/15 = 1/5
Step-by-step explanation:
Hoped this helped.
Answer:3/15 as an improper fraction is 1/5
Step-by-step explanation:1 over 5
Kiran wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.25 per pound and raspberries cost $2.50 per pound. How many pounds of fruit does he buy if he buys 2 pounds of blueberries and 1.5 pounds of raspberries? How many pounds of fruit does he buy if he buys x pounds of blueberries and y pounds of raspberries?
Answers
Answer:
$10.25 pounds of fruit
Step-by-step explanation:
3.25 x 2 = 6.5
2.50 x 1.5 = 3.75
3.75 + 6.5 = 10.25
I will mark brainlist
Find the geometric mean between 18 and 7. Write your answer in radical form.
• 3 square root of 14
• 126
• 9 square root of 7
• 128
Answers
Answer:
answer is A
I hope this helps!
-2 5/12 - (-10 8/9)
Answers
-13.30
that might be the answer
:D Hope this helps! I apologize if I’m wrong.
The expression 63+81,
How can you can use the distributive property in the GCF to find a equivalent expression? Explain how can you check your answer
Answers
Answer: 9 (7 + 9)
Step-by-step explanation:
63 = 9 * 7 and 81 = 9 * 9
СЕ
What is the product of
(5m2) (2m -3)
7
7m6
10
10m6
Answers
Answer:
10m^3-15m^2
Step-by-step explanation:
Could I get help…………
Answers
Answer:
B
Step-by-step explanation:
HOPE IT HELPS <3
MARK as brainliest
What property is -5(-9x^2+8)+20=10x^2-15
Answers
Answer:
distributive?
Step-by-step explanation:
-5(-9x^2+8)+20=10x^2-15
simplify both sides
45x^2-20=10x^2-15
35x^2=5
x^2=1/7
x=1/sqrt(7)
distributive?
how to solve subtraction of percentage from whole numbers
Answers
Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9
21x/8−3y=−6
Answers
If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.
Hope this helps.
It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate, how many pounds of mashed potatoes can be made with 15 pounds of potatoes?
Answers
Answer:
22.5 pounds of mashed potatoes will be made
Please answer!! Only if your answer is correct though.
Answers
Answer:
f(6) = -8
g(-3) = 59
Step-by-step explanation:
Read other responses on other answered questions. Comment below if you'd like a detailed explanation.
In which of these situations would the answer to the
question be 0?
A) The low temperature one day was -10°F. The high
temperature that day was 10 F. What is the difference
between the low temperature and the high temperature
that day?
B) A trail to walk up a hill begins at an elevation -16 yards.
The trail ends at an elevation of 16 yards. By how many
yards does the elevation of the trail change from
beginning to end?
C) Justine left her grandmother's house and walked 3
blocks directly south. Then she walked 3 blocks directly
north. At this point, how many blocks was Justine from
her grandmother's house?
D) Theodore jumped into a pool from a diving board 10
feet above the water. He sank 10 feet and then swam
straight up to the surface of the water. How many feet
did Theodore swim?
Answers
Answer: C is the correct answer
Step-by-step explanation:
A shoe box in the shape of a rectangular prism has these dimensions 14in,8 1/2in,4 3/4inwhat is the volume
Answers
Answer:
565.25 inches cubed
Step-by-step explanation:
14*(8 + 1/2)*(4 + 3/4)=565.25 inches cubed
the value of x in the solution to the system x+y=10 and x-y=4
Answers
Answer:
x = 7; y = 3
Step-by-step explanation:
I used the Trial and Error Method and found that x = 7 and y = 3
=> 7 + 3 = 10
=> 10 = 10. ✔
=> 7 - 3 = 4
=> 4 = 4. ✔
Therefore, x = 7 and y = 3
Hoped this helped.