Answer: 1/2
Step-by-step explanation:
This is straight from Khan
ample size and margin of error
In a one-sample
z
zz interval for a proportion, the
margin of error
margin of errorstart text, start color #11accd, m, a, r, g, i, n, space, o, f, space, e, r, r, o, r, end color #11accd, end text is how far our interval extends above and below the sample proportion:
(
statistic
)
±
(
margin of error
)
p
^
±
z
∗
p
^
(
1
−
p
^
)
n
(statistic)
p
^
±(margin of error)
±z
∗
n
p
^
(1−
p
^
)
Since the sample size
n
nn is in the denominator, increasing the sample size will lead to a smaller margin of error.
Hint #22 / 3
Comparing sizes of margins of error
Let's look at each margin of error in terms of its sample size.
Smaller sample,
n
=
200
n=200n, equals, 200:
=
z
∗
p
^
(
1
−
p
^
)
200
error
margin of
=z
∗
200
p
^
(1−
p
^
)
start text, e, r, r, o, r, end text, start superscript, start text, m, a, r, g, i, n, space, o, f, end text, end superscript, equals, z, start superscript, times, end superscript, square root of, start fraction, p, with, hat, on top, left parenthesis, 1, minus, p, with, hat, on top, right parenthesis, divided by, 200, end fraction, end square root
Larger sample,
n
=
800
n=800n, equals, 800:
=
z
∗
p
^
(
1
−
p
^
)
800
=
z
∗
p
^
(
1
−
p
^
)
4
⋅
200
=
z
∗
1
4
⋅
p
^
(
1
−
p
^
)
200
=
1
2
⋅
z
∗
p
^
(
1
−
p
^
)
200
error
margin of
=z
∗
800
p
^
(1−
p
^
)
=z
∗
4⋅200
p
^
(1−
p
^
)
=z
∗
4
1
⋅
200
p
^
(1−
p
^
)
=
2
1
⋅z
∗
200
p
^
(1−
p
^
)
Even though
800
800800 is
4
44 times larger than the smaller sample, the margin of error from the larger sample is
1
2
2
1
start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.
Equivalently, the margin of error from the smaller sample is
2
22 times the margin of error from the larger sample.
Hint #33 / 3
Answer
The margin of error from the larger sample will be
1
2
2
1
start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.
Answer:
1/2
Step-by-step explanation:
A passenger must climb 7 steps to a platform to enter the gondola. Each step is 7.5 inches. What would the equation of the ferris wheel circle be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the ferris wheel.
Answer:
55
Step-by-step explanation:
The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
What is Ferris wheel?A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.
What is the standard equation of the circle?The standard equation of the circle is
[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
Where,
(h, k) is the center of the circle
and, r is the radius of the circle
According to the given question.
The diameter of the Ferris wheel is 200 feet
[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]
Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet
Therefore,
[tex]k = 4.375+100 = 104.375feet[/tex]
and
[tex]h = 0[/tex]
Therefore, the equation of the Ferris wheel circle is
[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
Find out more information about equation of the circle here:
https://brainly.com/question/10618691
#SPJ3
what is a easier way to solve fractions
Answer: hewo, there! I hope I Made it easier to Understand
the first method is to equally divide the top and bottom of the fraction by whole numbers larger than 1 until you cannot go any further. As an example, let's take the fraction 24/108: Divide each number by 2 to get 12/54. Divide by 2 again to get 6/27
Step-by-step explanation:
To work out a fraction of a number, all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction
Hope this helps you!!
Have a great day!!!
This question is probably easy but I'm not really smart so please help :(
Answer:
All I know is that the total of the provided numbers make 58 feet and that you should probably break down the shapes into 2 different shapes. Then try to find the perimeters of each shape. I'm not sure what to do afterwards. Maybe I helped jogged your memory on what to do? I hope I helped some.
{7x+4y=-8
{-8x-5y=13
Solve system of equation
Answer:
(x,y)=(4,-9)
Step-by-step explanation:
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
What is the solution of the equation?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The solution of the equation means the value of the unknown or variable.
The system of the equation is given below.
7x + 4y = – 8 …1
8x + 5y = –13 …2
Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have
32x – 35x = –52 – (–40)
–3x = –12
x = 4
Substitute the value of x in equation 1, then the value of y will be
7(4) + 4y = – 8
28 + 4y = –8
4y = –36
y = –9
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
How many halves are in 3 1/4
HALLPPP DUE TODAY!!!! I RLLY NEED THIS DONE ASAP!! PLS AND THANK YOU!!!!
Find the compound interest
Principal: $750
Interest Rate: 6% or 0.06 Time: 2 years
Answer:92.7
Step-by-step explanation:
Use the compound interst formula: A= P(1+r)^n
750(1+.06)^2=842.7
Now substract the principal to find the compound interest : 842.7-750= 92.7
Hope it helps
Help 9-11 thank you !
Answer:
9 - 11 = -2
Step-by-step explanation:
Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:
9 + 2 = 11
9 - 11 = (-2)
Your Welcome :)
The following table lists the frequency distribution for 60 rolls of a die.
Outcome
1-spot 2-spot 3-spot 4-spot 5-spot 6-spot
Frequency 10
12
10
10
13
5
Test at the 5% significance level whether the null hypothesis that the given die is fairns true.
False
True
Answer:
False.................
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
False.ThanksHope it helpsCan someone help me with this question plz Show work.
Answer:
D. 32.3
Step-by-step explanation:
Length-a
Width-b
A=ab=6.8×4.75=32.3
A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
Answer:
15.75-1.50=14.15
14.15-0.75=13.50
help me plzzzzzzzzzzzzzzzz
Answer:
ok
Step-by-step explanation:
Answer:
post the whole problem it's cut off
Betsy spent 26 days traveling in Europe. How many weeks and days did Betsy
travel in Europe?
A. O 2 weeks 6 days
B. O 3 weeks 5 days
c. O 4 weeks 2 days
D. O 5 weeks 1 day
Answer:
3 weeks 5 days
Step-by-step explanation:
A week is 7 days
26/7 = 3 remainder 5
3 weeks 5 days
Find the area of each figure. Use 3.14 for phone
Area of triangle: 3m
Area of rectangle: 24m
Area of semi-circle: 6.28m
Answer:
33.28 m²
Step-by-step explanation:
The figure consists of three shapes:
1) A semicircle of radius 2 m.
2) A rectangle 4 m by 6 m.
3) A triangle with base 3 m and height 2 m.
area = ½πr² + LW + ½bh
area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2
area = 6.28 m² + 24 m² + 3 m²
area = 33.28 m²
Fencing with the length of 840 m surrounds two identical playing fields with a common side. The fields can be side-by-side and separated by a fence, as shown in the figure. Find the dimensions in the maximum area of each field.
Answer:
x = 140 y = 105 x · y = 14700 m²
Step-by-step explanation:
good question
it looks like 3 sides of length x
and 4 sides of length y
area 1 = area 2
and the length of all the sides sum to 840
3x + 4y = 840 find the maximum area = 2· x · y
This is a calculus problem that I can't remember how solve
if x = 0 y = 210
if y = 0 x = 280 280 / 2 = 140 the mid-point the logical answer
if x = 140 y = 105 x · y = 14700 m² this appears to be the max
if x = 135 y = 108.75 x · y = 14681.25 m² smaller area
if x = 145 y = 101.25 x · y = 14681.25 m² smaller area
I need an eqaution with a quadratic and take the first derivative
y = (840 - 3x) / 4 xy = max area y = max area/x
(max area) / x = (840 - 3x) / 4 solve for x
max area = x(840 - 3x) / 4
max area = [840x/4 - 3x²/4] '
max area = 210x - 3x²/4 take the first derivative
max area = 210 - 6x/4 maximum occurs when slope = 0
0 = 210 - 3x/2
3x/2 = 210
x = 210·2/3
x = 420 / 3
x = 140 y = 105
3(140) + 4(105) = 420 + 420 = 840 checks
1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).
2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?
3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?
4. The population growth rate is 3.0% per day with a current population of 30,000.
a. What is the TDouble?
b. What will the populate be in 10 years?
5. The half-life of substance X is 3.5 years. How long will it take for a 96.0 mg sample of substance X to decay and only have 3.0 mg of it remaining?
6. Paul opens a savings account with $900. He deposits $550 per month. Assume that he does not withdraw money or make any additional deposits.
a. How long will it take Paul to save $8,100?
b. How long will it take Paul to save enough money for a $250,000 house?
c. Explain why your answers to 6a and 6b make sense.
7. The doubling time of a population of flies is 20 days. If there are initially 250 flies, how many flies will there be in 46 days?
8. Suppose that a bacteria population doubles every eleven hours. If the initial population is 2,000 individuals, approximately how many hours would it take the population to reach 20,000?
1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).
"The plant grows 3.5 cm per day" means that the function grows by 3.5 cm each day. We can make a function like this:
y = 8 + 3.5x
Day 0 -> Day 28 is +28 days, so plug-in x with 28 to find out how much it would have grown in 28 days PLUS the original height of the plant, 8 cm.
y = 8 + 3.5(28) <-- see how I replaced x with 28
Simplify
y = 8 + 98 = 106 cm at day 28
2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?
2015, 2016, 2017, 2018, 2019, 2020, 2021
Just to help you imagine the years, we need to find the car's value from $29,000 in 2015 to 2021 using the idea that the car's value increases by 2.8 percent. What does 2.8 percent mean and how do we use this information to find out how much it increases? We need to convert this to a decimal so we can multiply it by 29,000 easily. First, convert 2.8% to a decimal = 0.028. Then we have to add 1 to 0.028. Why? Because we need to make sure that we still have the original 100% of the 29,000. If we forget the 1 then we're just finding 2.8% of 29,000! So, now we know that our multiplier by each year is 1.028. Now we have to multiply.
29,000 x (1.028)^6 (we have a power of 6 because remember, we are multiplying the 1.028 every year, and there are 6 years!)
Simplify: 34,226.0425 that rounds to 34,226.0425 dollars
3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?
The details of this question are confusing, so I won't answer this. Sorry, I'm really short on time. I hope I could help the best I could.
What is the sum?
3
4
3x+4
****
О.
3x+4
o
7
xxx
HELP please 52 minutes left !!!!!!
Answer:
c. [tex] \frac{3x + 4}{x^2} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]
Required:
The sum
Solution:
[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]
Common denominator is x².
Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.
Thus, we would have:
[tex] \frac{3x + 4}{x^2} [/tex]
How do you write 25% as a fraction ?
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Write down the percent divided by 100 like this:
25% = 25/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 25 is an integer, we don't have numbers after the decimal point. So, we just go to step 3
(or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(25,100) = 25. So,
(25÷25)/(100÷25) = 1/4 when reduced to the simplest
help finding arc of a circle geometry problem
Marcy can walk 12 blocks in 5 minutes. If each block is 50 feet long, how many feet will she walk during the 30 minutes that she walks each dog?
Answer:
3600ft.
Step-by-step explanation:
12blocks x 50ft/block = 600 feet/5min.
30min/5min = 6
600 x 6 = 3600 ft.
WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)
chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?
Answer:
answer:
answe:
answ:
ans:
an:
as:
a:
:
casssssssssssssssssssssss
Answer:
casidy from fanf ?!?!
Step-by-step explanation:
Please help me ASAP please
Answer:35 answer
Step-by-step explanation:75-40=35
Answer:35
Step-by-step explanation:
40+T=75
Or
75-40=35
John gets his first job working at an ice cream shop because he loves ice cream. He gets paid $9 per hour. Create a table to demonstrate how much money John will make from 0 - 6 hours. Let x equal the number of hours worked, and let y equal the amount of money that he will make. Then, create a graph with your results.
Answer:
1hr: $9
2hr: $18
3hr: $27
4hr: $36
5hr: $45
6hr: $54
Step-by-step explanation:
You can use Desmos, the graphing calculator (online tool)
Alternate interior angles. if you are good at that help
Answer:
hi
Step-by-step explanation:
i think so,
(5x-54)⁰=(3x+16)⁰
5x-3x=16+54
2x=70
x=35⁰
3x+16=3×35+16=121
5x-54=5×35-54=121
hope it helps
have a nice day
Answer:
x = 35
The angles measure 121°
Step-by-step explanation:
Alternate interior angles are congruent. So,
3x + 16 = 5x - 54
16 = 2x - 54
70 = 2x
x = 35
Now, to find the angle measures, just plug in the value for x.
3(35) + 16 = 121°
5(35) - 54 = 121°
is this right??? if not helpp
What is the area of this figure?
Answer:
58m^2
Step-by-step explanation:
2x9 = 18
8x5 = 40
18+40 = 58
If you had 2 angles that equal 180 degrees and you was given a angle of
117. What degree is the missing angle? *
Answer:
angle=63°
I hope it's helps you
I need the answer don’t scam with a link
can anyone help me with this and explain it will mark brainlyiest.
9514 1404 393
Answer:
x = (8/9)(4 +√7) ≈ 5.9073
Step-by-step explanation:
Maybe you want to know the value of x.
The Pythagorean theorem can be used to find the length of the bottom side of the right triangle. It is ...
bottom = √((5x)² -(3x)²) = √(16x²) = 4x
Then the cosine of the angle at lower left is ...
cos(α) = Adjacent/Hypotenuse
cos(α) = 4x/5x = 4/5
Now, the law of cosines can be used to find x. Using the angle whose cosine we just found, we have ...
(4x)² = (5x)² +8² -2(5x)(8)cos(α)
16x² = 25x² +64 -80x(4/5)
9x² -64x +64 = 0 . . . . . put in standard form
The quadratic formula can be used to find the solutions.
x = (-(-64) ±√((-64)² -4(9)(64)))/(2(9))
x = (64 ±√1792)/18 = (32 ±8√7)/9 ≈ {1.204, 5.907}
In this context, only the larger solution makes sense.
x = (8/9)(4 +√7) ≈ 5.9073
_____
Formulas used
Law of Cosines
For sides a, b, c and angle C opposite side c, ...
[tex]c^2=a^2+b^2-2ab\cdot\cos(C)[/tex]
Quadratic formula
For quadratic ax²+bx+c=0, the solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Pythagorean theorem
For legs a, b, and hypotenuse c of a right triangle, ...
c² = a² + b²
_____
Alternate solution
As an alternative to using the Law of Cosines, you can define "y" to be the length of the dashed bottom leg of the triangle whose hypotenuse is 4x. Two equations can be written using y and the Pythagorean theorem for the right triangles in which y is all or part of a leg. This set of equations can be solved for x to get the same result as the one shown above.
como usar a camera frontal do nokia?
Answer:
Toque para cambiar a la cámara frontal.
Step-by-step explanation: