Answer:
A sample of 16577 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?
We have no estimation for the proportion, and thus we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
The sample size is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.01\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2[/tex]
[tex]n = 16576.6[/tex]
Rounding up:
A sample of 16577 is required.
In the solid figure below, what is the volume of the left section of the figure?
2 m
1 m
6 m
4 m
3 m
8 m
4 m
3
96 m
o
84 m m 3
72 m 3
Answer:
72 m is the answer
hope this helped
Answer:
72 m
Step-by-step explanation:
The perimeter of a rectangular park is 106 meters. The length of the park is 32 meters. What is the width, in meters, of the field?
Answer:
21 meters
Step-by-step explanation:
i am big brain
You and your friends have just measured the heights of your dogs. The heights are 600mm, 470mm, 170mm, 430mm and 300mm. Find out the Mean, the Variance, and the Standard Deviation.
Answer:
To find the mean, you have to add all numbers together and divide them by the number of data points.
let me show what I mean:
The heights of the dogs are 600,470,170, 430,300.
Step-by-step explanation:
600+470+170+430+300.
1970.
Now we have to divide 1,970 by 5 ( because we are given 5 data points)
The mean is:
1970/5=394
Variance: First, arrange the data from least to greatest.
s2 = 27130
Standard Deviation: 164.71187
Judah’s family wants to ride the bumper boats at a waterpark. There are 4 children ( c ) and 2 adults ( a ) in Judah’s family. The boats are safe to ride if 40 c + 120 a ≤ 500 . Are the bumper boats safe for Judah’s family to ride? Explain. Show your work
Answer:
ion know
Step-by-step explanation:
Which of the following is a vertical shift of the function f(x)=−(2)x up by 2 units?
Answer:
-(2)x+2
Step-by-step explanation:
g(x)=F(x)+2
g(x)=-(2)x+2
find the diameter of a circle with the given dimensions r=13 cm
Answer:
the diameters of circle with radius 13cm
13×226cmhope it helps.
Answer:
your answer is
26 cm
hope it is helpful to you
Triangle ABC is similar to triangle XYZ. Set up a proportion to solve for x
What are the lateral area and the surface area of the cone shown below? Round the answers to
the nearest tenth. The figure is not drawn to scale.
Answer:
lateral surface area of the cone = 829.0ft²
Hence the total surface area is 1,208.9ft²
Step-by-step explanation:
lateral surface area of the cone = πrl
l is the slant side = 24ft
r is the radius = 11ft
lateral surface area of the cone = π(11)(24)
lateral surface area of the cone = 3.14 * 264
lateral surface area of the cone = 828.96ft²
lateral surface area of the cone = 829.0ft²
Total surface area = πr(r+l)
r is the radius = 11ft
l is the slant side = 24ft
Total surface area = π(11)(11+24)
Total surface area = π(11)(35)
Total surface area = 3.14 * 385
Total surface area = 1,208.9ft²
Hence the total surface area is 1,208.9ft²
HELP me pls pls I beg you
Answer:B 25%
Step-by-step explanation:
6 people had 6-8 and there are 24 total people so the fraction is 6/24 which is equivalant to 1/4 which equals 25%
Answer:
25%
Step-by-step explanation:
add up all you get 24
add absences between 6 and 8 you get 6
6/24= 25
A park bench sits 778 feet from the base of the Gateway Arch in St. Louis, Missouri. The angle of elevation from the ground where the park bench sits to the top of the Gateway Arch is 39°.
How tall is the Gateway Arch?
605 feet
630 feet
961 feet
490 feet
Answer:
B. 630 ftStep-by-step explanation:
Given:
Horizontal leg of the right triangle = 778 ftAngle opposite to vertical length = 39°Vertical leg = hUse tangent to solve for h:
h/778 = tan 39°h / 778 = 0.81h = 0.81*778h = 630.18Correct choice is B
1.l
Paul has 2 bags of Skittles. Each bag
contains 84 Skittles. If Paul eats 38
Skittles and gives 29 Skittles to each
of his two friends, how many
Skittles
does Paul have left?
Answer:72
skittles left
Step-by-step explanation:
Answer:
Paul would have 72 skittles left
Step-by-step explanation:
84 x 2 = 168
168 - 38 = 130
130 - 29 = 101
101 - 29 = 72
Charlie runs 11 miles in 95 minutes. How many miles does he run per minute?
Answer: 5000000000
Step-by-step explanation: i just know
I hope this helps you
A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at randomfind each probability.
Answer:
[tex]P(M4\ n\ V) = 2.083\%[/tex]
Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:
[tex]n(S) = 20[/tex]
The outcomes of multiples of 4 is:
[tex]M4= \{4,8,12,16,20\}[/tex]
[tex]n(M4) = 5[/tex]
So, the probability of multiples of 4 is:
[tex]Pr(M4) = \frac{5}{20}[/tex]
[tex]Pr(M4) = \frac{1}{4}[/tex]
The sample size of PENNSYLVANIA is:
[tex]n(S) = 12[/tex]
The outcome of V is:
[tex]n(V) = 1[/tex]
So, the probability of V is:
[tex]P(V) = \frac{1}{12}[/tex]
So, the required probability is: P(Multiple of 4 and V)
[tex]P(M4\ n\ V) = P(M4) * P(V)[/tex]
[tex]P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}[/tex]
[tex]P(M4\ n\ V) = \frac{1}{48}[/tex]
[tex]P(M4\ n\ V) = 0.02083[/tex]
Express as percentage
[tex]P(M4\ n\ V) = 0.02083 * 100\%[/tex]
[tex]P(M4\ n\ V) = 2.083\%[/tex]
Which statement is true about the diagram
Answer:
I believe that it is the 3 option Im not 100% sure but im most certain
Step-by-step explanation:
Pablo made a dot plot and histogram to show how many times last month each student in a class played sports. However, the histogram is incorrect.
Answer the questions to show how Pablo can fix the histogram to match the dot plot.
1. Is the bar for the interval 0 – 4 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
2. Is the bar for the interval 5 – 9 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
3. Is the bar for the interval 10 – 14 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
4. Is the bar for the interval 15 – 19 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Answer:
1. The bar interval is correct, the height does not need to be changed.
2. The bar interval is not correct, the height has to change higher by 1.
3. The bar interval is not correct, the height has to change lower by 1.
4. The bar interval is correct, the height does not need to be changed.
The histogram that best represents the data is the first histogram.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
here, we have,
For this problem, we have that the data-set is given by:
3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8.
We divide the data-set into ranges, hence the number of elements in each range is given as follows:
6 students download between 0 and 2 songs per week.
8 students download between 2 and 4 songs per week.
1 student download between 4 and 6 songs per week.
Hence the first histogram best represents the data.
More can be learned about histograms at
brainly.com/question/28164315
#SPJ2
complete question:
The following table shows the average number of songs downloaded each day by some students of a class: Student A B C D E F G H I J K L M N O Songs 3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8 Which histogram best represents the data? Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 6, height of the bar in the x interval 2 to 4 is 8, and the height of the bar in the x interval 4 to 6 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 6, height of the bar in the x interval 1 to 2 is 8, and the height of the bar in the x interval 2 to 3 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 7, height of the bar in the x interval 2 to 4 is 9, and the height of the bar in the x interval 4 to 6 is 2.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 7, height of the bar in the x interval 1 to 2 is 9, and the height of the bar in the x interval 2 to 3 is 2. WILL GIVE BRAINLIEST!
Simplify (3m^5)^2. need help
Answer:
6m^10?
Step-by-step explanation:
find the measure indicated. Assume that the lines which appear to be tangent are tangent. Part 4
NO LINKS OF ANY KIND
The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,
So,
15.) let the unknown angle be x
=》x + 55° = 180°
=》x = 180° - 55°
=》
[tex] \boxed{x = 125°}[/tex]
16. let the unknown angle be n
=》n + 80° = 180°
=》n = 180° - 80°
=》
[tex] \boxed{n = 100°}[/tex]
9514 1404 393
Answer:
15) 125°
16 100°
Step-by-step explanation:
The short arc where two tangents intersect a circle, and the angle where the tangents meet are supplementary.
__
15) ? = 180° -55° = 125°
16) ? = 180° - 80° = 100°
_____
Additional comment
The quadrilateral formed by the tangents and the radii to the points of tangency has a total interior angle measure of 360°. The angles where the radii meet the tangents are 90°, so the sum of the external angle and the central angle is 360° -90° -90° = 180°. That is, the external angle and the central angle are supplementary.
You start at (7,9) in a coordinate plane you move left 7 units. Where do you end
Answer:
You end up at 0,9
Step-by-step explanation:
How can I solve this question please I need help
Step-by-step explanation:
hope it helps......$...
Please help I'll give brainliest!!
Answer:
1. 496 people
Step-by-step explanation:
2/124 = 8/x
you have to multiply the top by 4 (2x4 = 8)
so
you multiply the bottom by 4 (124x4 = 496)
Write an expression to show k less than 3.5
Help with question pls!! Marking brainliest
Answer:
The answer is C. (5, 1)
Step-by-step explanation:
It takes two vertical downward swoops and one horizontal leftward swoop to get from point G to point F (3 swoops total). If point H was placed at (5, 1), it would take two horizontal leftward swoops and one vertical upward swoop to get from point H to point F (3 swoops total).
The tables show the amounts of sugar and flour, in cups, in two cake recipes.
Pls help fast asap
Select from the drop-down menu to correctly complete the statement.
The ratio of flour to sugar in recipe B is
Choose...
the ratio of flour to sugar in recipe A.
Answer:
A-the flour is 4 times as much. b- flour is double sugar
Reese's Puffs Reese's Puffs
a. eat em up, eat em up, eat em up, eat em up!
b. no-
Answer:
a
Step-by-step explanation:
common sense
Answer:
a
Step-by-step explanation:
Find the sum of the angle measures in a regular polygon.
A) 720*
B) 900*
C) 1080*
D) 1260*
Please help!! Thanks
Answer:
D) 1260°
Step-by-step explanation:
In an n-sided polygon, the sum of all angles is equal to (n-2)*180°.
Look at it this way - let's add a point in the middle and connect it to each vertex. Then we've got n triangles for a total of n*180°, but all of the angles at the middle point aren't "part" of the polygon, so a full 360° angle should be subtracted, giving us n*180°-360° = (n-2)*180°
You can easily confirm that it works for triangles and quadrangles ;)
The figure in the picture has 9 sides, so the sum of angles is (9-2)*180° = 7*180° = 1260°
1260°
hope this helps ^-^
At time t = 0 hours, a tank contains 2000 litres of water.
Water leaks from the tank.
At the end of every hour there is x% less water in the tank,
than at the start of the hour.
The volume of water, in litres, in the tank at time t hours is V.
Given that
V = k'V
V. = 1714.75
work out the value of k and the value of x.
Answer:
k= 0.95
x = 5
Step-by-step explanation:
V₀=2000 because at the start (when t=0), there's 2000l in the tank.
V[tex]_{t}[/tex]=[tex]k^{t}[/tex]V₀
V[tex]_{t}[/tex]=2000[tex]k^{t}[/tex]
V₃=1714.75=2000k³
k³=0.857375
k= 0.95
-----
V[tex]_{t}[/tex]=2000[tex]k^{t}[/tex]
V[tex]_{t}[/tex]=2000[tex](0.95^{t})[/tex]
V₁=2000(0.95)=1900
So from V₀ to V₁, the tank loses 100l, which is 5% of it's volume at the start of the hour (100/2000=5%). Therefore x = 5
amy waters her garden every 4 days and weeds it every saturday amy waters her garden this saturday.How many days will it be until the next time amy both waters and weeds her garden on the same day
Find the whole.
25% of what number is 60?
Hi
At the end of Evan's party, there were 1 1 pizzas left. Evan ate į pizza for lunch the next day. What fraction of a pizza was left after Evan's lunch? Move numbers to the boxes to complete the equation. PLEASE HELP WILL GIVE BRAINLIEST
So, after Evan's lunch, there was 7/8 quantity of pizza left.
Here we can write,
The simple fraction of [tex]1\frac{1}{8}[/tex] = 9/8
So, if there were 9/8 pizzas left at the end of the party and Evan ate 2/8 of a pizza for lunch,
we can start by subtracting the amount that Evan ate from the total amount that was left,
⇒ 9/8 - 2/8
To subtract fractions with like denominators,
We can simply subtract the numerators and keep the same denominator,
⇒ 9/8 - 2/8 = 7/8
So, after Evan's lunch, there were 7/8 of a pizza left.
Learn more about subtraction visit:
https://brainly.com/question/17301989
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8.)What object/thing is usually kicked,in order to hit a goal and played by both men and women?What is the unit of measurement used in measuring its surface area?Draw your answer below.
please help me!!!!
Answer:
A Soccer Ball
The unit is CIRCUMFERENCE
Step-by-step explanation:
20 3/4 to 21 1/4 inches (middle); 27 3/4 to 28 1/2 inches (long axis). Average soccer ball measurements
The formula: A= π times Radius squared AKA A= 3.14 × r²
Hope this is correct Pls don`t kill me thx
A football is usually kicked in order to hit a goal and played by both men and women. And the surface area is 4πr².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The football is usually kicked in order to hit a goal and played by both men and women.
The surface area of the football will be given by the area of a sphere.
[tex]\rm Surface \ area = 4 \pi r^2[/tex]
Where r be the radius of the football.
Thus, football is usually kicked in order to hit a goal and played by both men and women. And the surface area is 4πr².
More about the geometry link is given below.
https://brainly.com/question/7558603