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A sociologist wants to construct a 95% confidence interval for the true population proportion of teens aged 13-18 living in New York who own a laptop. The survey estimated a proportion to be 56%. Using the estimate P(1-2) Formula: E = z* (V n a)
a) What sample size is needed for the interval to have a margin of error of 0.02? (Select)
b) What sample size is needed for the interval to have a margin of error of 0.05? (Select)
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Sample size is needed for the interval to have a margin of error of 0.02 is 2367.
Sample size is needed for the interval to have a margin of error of 0.05 is 379.
Margin of error,
ME = 0.02
p = 0.56
α =1- 0.95 = 0.05
critical value,
critical value at α= 0.05 is
Zα/2 = 1.96
Now,
formula for the sample size needed to estimate a population proportion is
n = (Zα/2)²p(1-p)/ME²
=( 1.96 )^2 x ( 0.56 (1- 0.56 ))/( 0.02 )^2
= 2366.4256
therefore, required sample size is n = 2367.
Margin of error,
ME = 0.05
p = 0.56
α =1- 0.95 = 0.05
critical value,
critical value at α= 0.05 is
Zα/2 = 1.96
Now,
formula for the sample size needed to estimate a population proportion is,
n = (Zα/2)²p(1-p)/ME²
=( 1.96 )^2 x ( 0.56 (1- 0.56 ))/( 0.05 )^2
= 378.6281
therefore, required sample size is n = 379.
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what is the answer to this question ?
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the given expression does not represent a polynomial
elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).
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HELP ME PLZ PLZ !!!!!!
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You better give me a brainliest
185 yards
operations of rational algebraic expression 1/4+2/4
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Answer:
3/4
Step-by-step explanation:
What is the constant of proportionality in the equation y=5/4x
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The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them both?
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Answer:
105
Step-by-step explanation:
Apply the distributive property to simplify the expression
8(12x – 20)
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I believe the answer must be 96x-160
Because we have to multiply 8x12 which is 96. and there is x next to it. so keep the x as it is.
and next to it is minus ( - ) sign so keep it as it is.
now we have to multiply 8x20 which is 160.
so if we write it together it will be:
so if we write it together it will be:96x - 160.
Thank you
look at attachment below
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So it’s 8x=4(55)
8x=220
x=220/8
x=27.5
evaluate the following using powers of ten rules: 10 to the 4th times the square root of 1.042
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The value of the given expression is approximate equal to 1.021 × 10⁴ OR 10207.8
Evaluating an expressionFrom the question, we are to determine the value of the given expression
The given expression is
10 to the 4th times the square root of 1.042
That is,
10⁴ × √1.042
The expression can be evaluated as shown below
10⁴ × √1.042
= 10⁴ × 1.02078
= 1.02078 × 10⁴
≈ 1.021 × 10⁴
OR
= 1.02078 × 10⁴ = 10207.8
Hence, the value of the given expression is approximate equal to 1.021 × 10⁴ OR 10207.8
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The ratio of red paint and blue paint in paint mixture is 3:4 . How much blue paint is needed to make 1400 ml of paint mixture
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According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.
Liter or litre—which is correct in India?Liter and litre are equivalent terms. Liter is favoured by American English, while Liter is utilized by all English-speaking nations inspired by Europe and British English Both red and blue colors have a 3:4 ratio, we require 3 litres of red paint for every 4 litres of blue paint, which implies that we need 3/4 litres of red paint for every litre of blue paint and 6 litres of blue paint for every litre of red paint.Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.
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is x = 3 a solution to the equation below? (substitute and check if they equal each other) 12 Points 221 + 1) +- 8x + 2 - 3.0
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we have the equation
2*(2x+1)+x=8x+2-3x
step 1
Apply distributive property left side
4x+2+x=8x+2-3x
step 2
Combine like terms
5x+2=5x+2
Its a identity
The equation have infinite solutions
therefore
YES, x=3 is a solution
Susan bought a 1 kilogram bag of grapes. On the way home, she ate 125 grams of the grapes. How many grams of grapes does Susan have left? use math language and symbols to explain how you used the correct measurement units to solve the problem.
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Susan has 875 grams of grapes left.
1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).
2. Susan ate 125 grams of the grapes on her way home.
3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.
1000 grams - 125 grams = 875 grams
4. Thus, Susan has 875 grams of grapes left.
measurement units:
In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.
This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.
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The following data represents the age of 30 lottery winners.
22 30 30 35 36 37 37
37 39 39 41 51 51 54
54 55 57 57 58 58 61
64 68 69 72 74 75 78 79 80
Complete the frequency distribution for the data.
Age Frequency
20-29
30-39
40-49
50-59
60-69
70-79
80-89
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20-29 ==> 1
30-39 ==> 9
40-49 ==> 1
50-59 ==> 9
60-69 ==> 4
70-79 ==> 5
80-89 ==> 1
(Total 30)
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
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Answer:
Part A: From the table, it is clear that as the number of workers increases, the number of units produced also increases. This indicates a positive correlation between the number of workers and the number of units produced. As the number of workers increases by 10, the number of units produced also increases by 50. This pattern is consistent throughout the data, which supports the conclusion that there is a positive correlation between the number of workers and the number of units produced.
Part B: A function that best fits the data is y = 5x + 2, where y is the number of units produced and x is the number of workers. This function can be determined by using the slope-intercept form of a linear equation (y = mx + b) and substituting the values for the slope and y-intercept from the data. The slope (m) of the function is 5 and the y-intercept (b) is 2.
Part C: The slope of the plot (5) represents the rate of change in the number of units produced for every 1 unit change in the number of workers. In this case, for every 1 additional worker, the number of units produced increases by 5. The y-intercept (2) represents the point at which the line intercepts the y-axis when x = 0. In this case, when there are no workers, 2 units are produced.
A sience teacher uses an overhead projector to display a diagram of a pulley sytem. the actual diagram is 6'' by 7.2''. The image projected onto the wall is 4' 2'' by 5'' what is the scale factor of the projection
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Answer:
25/36, or .694444
Step-by-step explanation:
First, let's convert 6" to inches.
That gives us 72. After we convert 4'2" into inches, we get 50.
This means that the diagram goes from 72 inches wide to 50. Put this into a proportion to find the scale factor:
50/72 = 25/36 = .6944444
a. Will he be able to make a right triangle with his fence? Why or why not?
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Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
H²=B²+P²
20²=15²+18²
400=225+64
400≠289
No, it will not be able to make a right triangle.
Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.
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The complete question is given below:
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.
1. Will he be able to make a right triangle out of his fence? Why or why not?
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinate plane, a circle is centered around (0, 0). The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.
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Answer:jdbfqy
Step-by-step explanation:
dcjbdyfjbsdjbrbvuhruetiibf irvi
Please help me ASAP
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Answer:
A: 9.5s+19.95 is less than or equal to 55
Step-by-step explanation:
She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option
Complete the table.
q=p+7
Р
q
0
1
8
2
3
4
11
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Given expression q=p+7
Expression can be defined as contains one or more variables and constants with one or more arithmetic operators.
Simply put the p values in the expression. solve it and get the q values.
q=p+7 in the place of p submit p=0
q=0+7
q=7
q=p+7 in the place of p submit p=2
q=2+7
q=9
q=p+7 in the place of p submit p=3
q=3+7
q=10
Therefore, The values of q are 7,9,10
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The missing numbers are:
7,9 and 10 when 0, 2, and 3 respectively.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
An equation,
q = p + 7.
Substituting the values of p:
When p = 0,
q = 0 + 7
q = 7.
When p = 2,
then q = 9.
And when p = 3,
q = 10
Therefore, all the required values are given above.
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Find the value of x and y. Then find the measure of each labeled angle.
(In picture)
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Answer:
In explanation
Step-by-step explanation:
For x, we can work with both variables to get x:
3x-5=x+55
2x=60
x=30
Now, we just substitute:
3(30)-5=85
30+55=85
Select all equations where r=3 is a solution
R-3=0
1+ r = 2
9- r = 3
1/5r = 3
R2= 9
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Answer:
the first equation
Step-by-step explanation:
Discuss whether f(x)=x^2 increases or decreases when x>1
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We can conclude that the function f(x) = x² is increasing when x > 1.The given function is f(x) = x². You need to determine whether this function is increasing or decreasing when x > 1.
To do this, we can find the derivative of the function and evaluate it for x > 1.If the derivative is positive, then the function is increasing, and if it is negative, then the function is decreasing.
The derivative of the function f(x) = x² is given by:f '(x) = 2x
We can see that the derivative is always positive when x > 1, as 2x is always positive for x > 0.Therefore, we can conclude that the function f(x) = x² is increasing when x > 1.
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The initial population of a town is 3500, and it grows with a doubling time of 10 years. What will the population be in 8 years?
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Answer:
8 years = 5600
Step-by-step explanation:
10 years = 3500x2= 7000
1 year = 7000/10 = 700
1 year = 700
8 years = 700x8 = 5600
For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
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The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
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can someone please help me I posted this multiple times but no one answers pls help me quick
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Subtract 1550 from both sides
-1085=-7 1/2x
Divide -7 1/2 on both sides
And the answer is 144 2/3
Sorry about ur bad luck
Follow the guided instructions below to rotate the figure 90° counter-clockwise about
the origin.
Draw a circle centered at the center of rotation, such that one of the vertices
of the figure is on the circle.
10 9 -8
5 4 3 2
10
3
5
9 10
-X
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When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.
What are the new coordinates?The old coordinate where were rotated are:
A(-5,8)
B (-1, 7)
C(-3, 5)
D(-4, 2)
To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x -coordinate.
The new coordinates are after 90 degrees, counterclockwise are
A' = (-8, -5)
B' = (-7, -1)
C' = (-5, -3)
D' = (-2, -4)
See attached image.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
What is 162,810.75 rounded to the nearest whole number?
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Answer:
162,811
Step-by-step explanation:
Cual es la distancia que recorrió luis en su bicicleta rodada 20p (2.54) después que las llantas dieran 50 vueltas completas
porfaaa
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Luis traveled approximately 31,736.8 inches on his bicycle.
We have,
To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.
Given:
Radius of the tires (r) = 20p (2.54) inches
Number of complete turns (n) = 50
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Substituting the given radius into the formula, we have:
Circumference = 2π * (20p) inches
Now we can calculate the distance traveled (d):
Distance = Circumference x Number of complete turns
Distance = 2π x (20p) x 50 inches
To simplify the calculation, we can approximate π as 3.14:
Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches
Calculating this expression, we find:
Distance ≈ 31736.8 inches
Therefore,
Luis traveled approximately 31,736.8 inches on his bicycle.
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The complete question.
What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns
The propeller blades on a submarine have a radius of 6 feet. At full speed, they turn at 120 revolutions per minute. What is the angular velocity, in radians per minute, at the tip of the blade?
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One revolution also corresponds to an angular displacement of 2π rad.
So, the angular velocity is
120 rev/min = (120 rev/min) * (2π rad/rev) = 240π rad/min
Answer:
753.98 rad/min
Step-by-step explanation:
on edge, it asks for you to round to the nearest hundredth, causing me to assume that you need to multiply 240(pi)
the whole answer is 753.9822369, but it asks for you to round.