Answer:
A sample size of 474 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]
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that [tex]\pi = 0.73[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2[/tex]
[tex]n = 473.24[/tex]
Rounding up:
A sample size of 474 is required.
What is the y-intercept of the Line y=3/4x + 2
Answer:
Step-by-step explanation:
The perimeter of the figure below is 179.3 ft. Find the length of the missing side.
Answer:
13 ft
Step-by-step explanation:
8(13.3) + 2(23.8) + 12.3 = 166.3
179.3 - 166.3 = 13
Classify the quadrilateral, and then find the value of the variable for each figure:
Answer:
[tex]x=4,\\y=8[/tex]
Step-by-step explanation:
Notice that in the diagram, opposite sides are equal. This is true for any rectangle, so even without the equal sides being marked, we'd know that each pair of opposite sides have the same length.
Therefore, we can set up the following equations and solve for [tex]x[/tex] and [tex]y[/tex]:
[tex]2y=y+8,\\y=\boxed{8}[/tex]
[tex]4x-8=2x,\\-8=-2x,\\x=\boxed{4}[/tex]
Can someone tell me how to give the brainliest award out. You will get it if you answer first
Answer:
you click the crown :)
Step-by-step explanation:
hope this helps!
Answer:
Just click on the words "Award Brainliest" on top of the answer of a user to a certain question of yours.
Step-by-step explanation:
I REALLY NEED HELP WITH THIS!!!! I NEVER LEARNED THIS BEFORE!!!!! HEELLLPPPPP!!!!!!
Answer:
1
Step-by-step explanation:
just is
Answer:
C
Step-by-step explanation:
5/6 + 1/12 need the same denominator.
(5/6) * 2
10/12 + 1/12
11/12
This is almost one whole, ( 11/12 ~ 1) therefore, C is the best answer.
Have a great day! Hope I helped!
A small airplane flies 1015 miles with an average speed of 290 miles per hour. 1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747
Answer:
The average speed of the 747 was of 580 miles per hour.
Step-by-step explanation:
We use the following relation to solve this question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance and t is the time.
A small airplane flies 1015 miles with an average speed of 290 miles per hour.
We have to find the time:
[tex]v = \frac{d}{t}[/tex]
[tex]290 = \frac{1015}{t}[/tex]
[tex]290t = 1015[/tex]
[tex]t = \frac{1015}{290}[/tex]
[tex]t = 3.5[/tex]
1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time;
The time of the Boeing 747 is:
[tex]t = 3.5 - 1.75 = 1.75[/tex]
Distance of [tex]d = 1015[/tex], the velocity is:
[tex]v = \frac{d}{t} = \frac{1015}{1.75} = 580[/tex]
The average speed of the 747 was of 580 miles per hour.
Write the place value of the underlined digit. each answer, 1 point)
(a thousands b. hundreds ctens d. ones e tenths f. hundredths g. thousandths)
9.0631 3place?
32.158 1 place?
28.537 8 place?
Answer:
tenths
Step-by-step explanation:
ones
thousanths
help will give brainliest
9514 1404 393
Answer:
198 $1.20Step-by-step explanation:
1. Let x represent the number of apples left. Then the number of mangosteens left is 1/6x. The starting number in each case is the number left plus the number sold. The starting numbers are equal, so we have ...
x + 201 = (1/6)x +366
5/6x = 165 . . . . . . . . . . subtract 1/6x+201
x = 198 . . . . . . . . multiply by 6/5
198 apples were left.
__
2. Let d represent the cost of a drink. The cost of a drink is 3/5 the cost of a snack, so the cost of a snack is 5/3 the cost of a drink. Then Alice's total expenditure was ...
15d +12(5/3d) = 42
35d = 42 . . . . . . . . . . . . . . collect terms
d = 42/35 = 6/5 = 1.20 . . . divide by 35
The cost of a drink was $1.20.
3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).
Answer:
See belowStep-by-step explanation:
Given:
Points (- 3,3) and (3,1) on a circler = 5i.
There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.
ii.
Let the points are A and B and the centers of circles are F and G.
The midpoint of AB, the point C is:
C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)The length of AB:
AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]
The distance FC or GC is:
FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]Possible coordinates of center are (h, k).
We have radius:
(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25Comparing the two we get:
(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²Simplifying to get:
k = 3h + 2We consider this in the distance FC or GC:
h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5Then k is:
k = 3√1.5 + 2 ork = -3√1.5 + 2So coordinates of centers:
(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)-------------------------------------------------------------------------------------
b.
Diameters:
x - y - 4 = 02x + 3y + 7 = 0The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:
x = 1, y = -3The point (2, 4) on he circle given.
Find the radius which is the distance between center and the given point:
r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]The equation of circle:
(x - 1)² + (y + 3)² = 50Express 367 as a number in base 5
Answer:
[tex] = 367 \div 5 = 73 \: rem5 \\ = 73 \div 5 = 14 \: rem6 \\ = 14 \div 5 = 2 \: rem8 \\ = > 2865 _{five}[/tex]
3) Which inequality represents the graph?
-54
-36
-18
0
18
36
54
a) x<9
b) x>9
c) X29
d) XS9
Answer:
I need a picture to see what it represents.
alytic Geometry_S2_2020
Instruction
Active
Using Similarity Transformations to Determine Similarity
y
What steps would you take to determine if these figures
are similar? Check all that apply.
A"
B"
4
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by 1
2
D'
CH
x
4
4
Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
D
B
ctivity
Answer and Step-by-step explanation:
I think that the answer choices:
- Multiply the vertices of polygon ABCD by [tex]\frac{1}{2}[/tex]
- Reflect the intermediate image.
These transformations would be a step in the process of determining if the figures are similar.
#teamtrees #PAW (Plant And Water)
PLEASE HELP ME !!! Can anyone help me find the function for this trig graph ?? i need a specific answer for the function , 50 pts and i will mark brainliest !!
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
someone help me pleaseeee
Answer:
huuu wate a few minutes
I will help you
Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Ans its b and c
Step-by-step explanation:
The perimeter of the figure below is 64 m. Find the length of the missing side.
8
[tex] \frac{50}{100} [/tex]
[tex]\sf\purple{0.5}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
THIS IS WORTH 30 POINTS
1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
Answer:
your awnser would be [4, −6]
Step-by-step explanation:
hope this helps
Which choice below could represent the distance jake walked?
Answer:
50 yard South, 40 yard east 60 yard northwest
6 people share 12 muffins
What is the answer to this question?
simplify : sqrt(25-10sqrt(3) +3)
Answer:
3.26794919243
Step-by-step explanation:
Diane looks around at an assembly. She notices her younger sister to her right and her older brother 6 feet ahead of her. If Diane's brother and sister are 10 feet apart, how far apart are Diane and her younger sister?
Need help
Nnsndndndnddn
Answer:
A. x = 50
Step-by-step explanation:
x° + (x + 10)° + (x + 20)° = 180° (sum of interior angles of a triangle)
Solve for x
x + x + 10 + x + 20 = 180
Add like terms
x + x + x + 10 + 20 = 180
3x + 30 = 180
Subtract 30 from each side
3x + 30 - 30 = 180 - 30
3x = 150
Divide both sides by 3
3x/3 = 150/3
x = 50
help with this question
9514 1404 393
Answer:
A = 49π/36 or 59π/36
Step-by-step explanation:
The given angle is coterminal with the same angle modulo 2π.
(563/36)π = 14π +(59/36)π
so the coterminal angle is 59π/36 ≈ 1.6389π, a 4th-quadrant angle. The 3rd-quadrant angle with the same sine value is found by subtracting this angle from 3π:
A = 3π -(59π/36) = 49π/36
The two values of A that satisfy the equation are ...
A = 59π/36A = 49π/36_____
In degrees, the two angles are 245° and 295°.
express 21/4 in the decimal form by long division method
Answer:
5.25
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
I need help please!!!
Answer:
Option D would be the correct answer!
Hope this helps!
What is -4.5 need help pls help fast I will give u a brilliant and thank
Answer:
its -4.5??? what is the question you're asking
If the sun is 63 degrees above the horizon what is the length of the shadow cast by a 79 ft building
Please help with this!!!
In need of a answer fast!
Answer:
You never attached anything so ill just say the answer is 4
Step-by-step explanation:
If you want a serious answer please edit your question so it is answerable.
:) Have a good day
Joseph bought a box of pens for $15.98. The price included a $1.25 donation to the local
food drive. Tina bought 3 boxes of the same type of pens, but did NOT donate to the
drive. How much did she pay for the pens?
(Lesson 1)
Answer:
$44.19
Step-by-step explanation:
15.98-1.25=14.73
14.73*3-44.19
Answer:
$44.19
Step-by-step explanation:
1 box if pen including donation= $15.98
1 box of pen without donation= $15.98-$1.25
=$14.73
3 box of pen without donation= $14.73×3
=$44.19