The minimum sample size required is approximately 2507 individuals to accurately poll the proportion of Americans favoring a government-run, single-payer healthcare system within a 2% margin of error and with 99% confidence.
To determine the minimum sample size required for your poll on the proportion of Americans favoring a government-run, single-payer healthcare system, you need to consider the desired margin of error (2%), the confidence level (99%), and the estimated proportion from a previous poll (21%).
Step 1: Identify the critical value (Z-score) for a 99% confidence level. You can use a Z-score table or calculator for this. The critical value is approximately 2.576.
Step 2: Determine the margin of error (E). In this case, the margin of error is 2%, or 0.02.
Step 3: Use the estimated proportion (p) from the previous poll, which is 21%, or 0.21. Calculate the estimated proportion for not favoring the single-payer system (q), which is 1 - p, or 0.79.
Step 4: Apply the formula for the minimum sample size (n):
n = (Z^2 * p * q) / E^2
n = (2.576^2 * 0.21 * 0.79) / 0.02^2
n ≈ 2506.73
Since you cannot have a fraction of a person, round up to the nearest whole number. The minimum sample size required is approximately 2507 individuals to accurately poll the proportion of Americans favoring a government-run, single-payer healthcare system within a 2% margin of error and with 99% confidence.
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what should be added to {1/-2 - 3/4 of -8/15} so that the sum is the product of -7/50 and 1 1/14 *for grade 7*
The value that is added on the left-hand side to make the equation equal is -1/100.
What are Mathematical operators?In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.
Given [1/-2 - 3/4 of -8/15],
to add a number so the sum equals the product of -7/50 and 11/14
let the number be x
according to the question,
[1/-2 - 3/4 of -8/15] + x = -7/50*11/14
taking LHS
[1/-2 - 3/4 of -8/15] = -1/2 - (3(-8)/60)
[1/-2 - 3/4 of -8/15] = -1/2 + 24/60
[1/-2 - 3/4 of -8/15] = (-30 + 24)/60
[1/-2 - 3/4 of -8/15] =-6/60 = -1/10
RHS
-7/50*11/14 = -77/700 = -11/100
substitute the values
[1/-2 - 3/4 of -8/15] + x = -7/50*11/14
-1/10 + x = -11/100
x = -11/100 + 1/10
x = (-11 + 10)/100
x = -1/100
Hence -1/100 is added to make the equation equal.
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Susan rides her bicycle 5 miles in 1/2 of an hour. At this rate, how many miles could she ride in 3 hours?
Answer:
30 miles per 3 hours
Step-by-step explanation:
10 miles = 1 hour
10 x 3 = 30
Answer:
30 miles, if you times .5 by 3 it tells you 6 and then you times 5 by 6.
find the point of intersection between the line connecting (2,3,6) to (2,2,3) and the line connecting (1,2,1) to (3,0,-1)
There's no point of intersection between the line connecting (2,3,6) to (2,2,3) and the line connecting (1,2,1) to (3,0,-1)
To find the point of intersection between two lines in three-dimensional space, we need to solve a system of equations. We can set up the equations of the two lines using the parametric form:
Line 1:
x = 2 + t(0)
y = 3 + t(-1)
z = 6 + t(-3)
Line 2:
x = 1 + s(2)
y = 2 - s(2)
z = 1 - s(2)
We can set the x, y, and z values equal to each other for the point of intersection, and solve for t and s:
2 + t(0) = 1 + s(2)
3 + t(-1) = 2 - s(2)
6 + t(-3) = 1 - s(2)
Simplifying the second equation, we get:
t + s = 1
Multiplying the first equation by 2, we get:
4 = 2 + 2t + 2s
Substituting t + s = 1, we get:
4 = 2 + 2(t + s)
4 = 2 + 2(1)
4 = 4
This means that our system of equations has no unique solution, and the two lines do not intersect at a single point. Therefore, there is no point of intersection between the two lines.
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Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find the interquartile range. c. Identify any outliers. 60 64 63 55 56 65 65 61 57 62 62 59 60 62 77
So, the quartiles are Q1 = 59, Q2 = 62, and Q3 = 65.
IQR = Q3 - Q1 = 65 - 59 = 6.
The data set does have one outlier, The value 77.
It is above the upper outlier limit of 74.
a)To find the quartiles, we first need to arrange the data in order:
55 56 57 59 60 60 61 62 62 62 63 64 65 65 77
The median is the middle value of the data set, which is:
Median = 62
To find the first quartile (Q1), we take the median of the lower half of the data:
Q1 = Median of {55, 56, 57, 59, 60, 60, 61} = 58
To find the third quartile (Q3), we take the median of the upper half of the data:
Q3 = Median of {63, 64, 65, 65, 77} = 65
b)The interquartile range (IQR) is the difference between the third and first quartiles:
IQR = Q3 - Q1 = 65 - 58 = 7
c) To identify any outliers, we can use the rule that considers any value that falls below Q1 - 1.5 IQR or above Q3 + 1.5 IQR to be an outlier.
Lower outlier bound: Q1 - 1.5 IQR = 58 - 1.5(7) = 47.5
Upper outlier bound: Q3 + 1.5 IQR = 65 + 1.5(7) = 76.5
Since one value (77) that falls above the upper outlier bound, this value is considered an outlier.
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using high-school students as sample one and college students as sample two, what's your statistic for the hypothesis test
The t-statistic for the two-sample t-test is computed as: T = (x1 - x2) / [s² * (1/n1 + 1/n2)]
Where: x1 and x2 are the sample means,s² is the pooled variance, and n1 and n2 are the sample sizes.
The statistic for the hypothesis test that compares two independent groups is known as the two-sample t-test. When using high-school students as sample one and college students as sample two, the statistic for the hypothesis test is a two-sample t-test.
A two-sample t-test is a statistical hypothesis test that compares the mean of two independent samples. It assesses whether the difference between the means of two groups is statistically significant or whether the difference is due to chance.
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3x – 7y=9; x= -1,0, 1
Solve the equation for y.
Answer:
Answers in the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask =)
A:B:C is in the ratio 3:2:5, how much more money will C get out of RS 1260?
Answer: Explanation below
Step-by-step explanation:
A:B:C is to the ratio of 3:2:5
We can add the ratios together.
3+2+5 = 10
A = 3/10 x 1260
= RS 378
B = 2/10 x 1260
= RS 252
C = 5/10 x 1260
= RS 630
Therefore, C will have RS 252 more than A, and RS 378 more than B.
Hope this helped
**Solve by Elimination
3 + 2x - y = 0
-3-7y = 10x
7) x =
8) y =
What is the product of 4xy and y^2 + 2x
Answer:
C
Step-by-step explanation:
4xy(y^2 + 2x) Remove the brackets (distributive law)
4xy^3 + 8x^2y
You have to turn the two terms around to see the correct answer. That's perfectly alright when dealing with addition of pluses.
8x^2y + 4xy^3
2 people start from the same spot one walking east the other walking west, the person walking east walks slowly at 4mph and the other person walks fast at 6mph writr and solve a system of equations that can be used to determine how ong until 2 people are 2 1/2 miles apart from ach otherr
Answer:
3\5
Step-by-step explanation:
can 18 7 10 make a triangle
Answer:
No, 18 7 10 are can not make a triangle.
Step-by-step explanation:
First of all, what does a Triangle?
A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.
Three sides form a triangle : if sum of length of two sides is greater than the third side. But here
10+7=17 < 18.
That is the sum of two sides (10+7) is less than the third side i.e 18
So that 18 7 10 are can not make triangle.
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Answer:
18 7 10 are can not make a triangle.
Step-by-step explanation:
Definition of a Triangle
A figure that has three sides and three angles is knows as a triangle
And a property of a triangle is that the sum of length of two sides should always be greater than the third side.
We have given the length of sides as : 18 7 10
now check it :
(i) 18 + 7 = 25 which is greater than 10
(ii) 18 + 10 = 28 which is greater than 7
(iii) 7 + 10 = 17 which is lesser than 18
so the sum of two sides (10+7) is less than the third side 18
Therefore 18 7 10 are can not make triangle.
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I need help for someone plz answer
thank chu
What is the slope of the line that passes through the points (10, 8)(10,8) and (-15, 18) ?(−15,18)? Write your answer in the simplest form.
Answer:
I think it -2/5
Step-by-step explanation:
Answer:
-2/5
Step-by-step explanation:
because why not
−3x^ 2 +6x+9=
factor
Answer:
the answer in factor form would be
-3(
Please show work for problem
Please help me find the answer
Please help me I’m struggling
The percentage of 12-month-old baby boys who weigh is 0.5.
What is mean and standard deviation?
The term standard deviation refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.Z-scores are calculated using the formula z = (x-μ)/σ, where x represents the raw score, the population mean, and the population standard deviation. The z-score is simply the raw score less the population mean, divided by the population standard deviation, as the calculation demonstrates.Mean=22.5; Standard deviation=2.2
The z-score for the given weight is
z−score = Blood pressure reading−Mean / Standard deviation
= 23.6−22.5/2.2
= 1.1/2.2
=0.5
Hence, the percentage of 12-month-old baby boys who weigh is 0.5
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Reescreva os números que aparecem na forma de notação cientifica.
1- 12.756.000 m
2- 510.072.000km²
3- 5.973.600.000.000.000.000.000.000kg
4- 7.722.522.000
5- 1.350.000.000.000.000.000
6- 361.800.000km²
Answer:
1) \(1.276 \times 10^{7}\,m\), 2) \(5.101 \times 10^{8}\,km^{2}\), 3) \(5.974 \times 10^{24}\,kg\), 4) \(7.723\times 10^{9}\), 5) \(1.350 \times 10^{18}\), 6) \(3.618\times 10^{8}\,km^{2}\)
Step-by-step explanation:
(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)
La notación científica presenta el siguiente formato:
\(x.y \times 10^{n}\)
Donde:
\(x\) - Un dígito entero.
\(y\) - Dígitos decimales consecutivos.
\(n\) - Grado de potencia.
Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:
1) \(12.756.000\,m\)
El grado de la potencia es siete (7).
\(1.276 \times 10^{7}\,m\)
2) \(510.072.000\,km^{2}\)
El grado de la potencia es ocho (8).
\(5.101 \times 10^{8}\,km^{2}\)
3) \(5.973.600.000.000.000.000.000.000\,kg\)
El grado de la potencia es veinticuatro (24).
\(5.974 \times 10^{24}\,kg\)
4) \(7.722.522.000\)
El grado de la potencia es nueve (9).
\(7.723\times 10^{9}\)
5) \(1.350.000.000.000.000.000\)
El grado de la potencia es dieciocho (18).
\(1.350 \times 10^{18}\)
6) \(361.800.000\,km^{2}\)
El grado de la potencia es ocho (8).
\(3.618\times 10^{8}\,km^{2}\)
If f(x) = 3x+2 and g(x) = x^2
what is g( f(x))
Answer:
\(9x^{2}+12x+4\)
Step-by-step explanation:
\(g(f(x))=(3x+2)^{2}\)
= \(9x^{2}+12x+4\)
Find the difference of (-x^2 + 9xy) - (x^2 + 6xy - 8y^2)
Difference of (-x² + 9xy) and (x² + 6xy - 8y²) is - 2x² + 3xy + 8y².
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Given expression,
(-x² + 9xy) - (x² + 6xy - 8y²)
Distributing negative sign
-x² + 9xy - x² - 6xy + 8y²
Adding like terms
- 2x² + 3xy + 8y²
Hence, - 2x² + 3xy + 8y² is the difference of (-x² + 9xy) and (x² + 6xy - 8y²).
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which system of linear inequalities is represented by the graph?
y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4
n
what is the completely factored form of of this polynomial 81x^4 - 16y^4
Step-by-step explanation:
81x⁴ - 16y⁴
(9x²)² - (4y²)²
(9x² + 4y²)(9x² - 4y²)
(9x² + 4y²)(3x + 2y)(3x - 2y)
List all the factors of 20
Answer:
1,2,4,5,10 and 20
Step-by-step explanation:
Trigonometry Question:
Find all solutions on the interval [0,2π)
12sin^2(x)+cos(x)-6=0
Recall the Pythagorean identity,
\(\sin^2(x) + \cos^2(x) = 1\)
Use it to rewrite the equation in terms of cos only.
\(12 (1 - \cos^2(x)) + \cos(x) - 6 = 0\)
\(-12 \cos^2(x) + \cos(x) + 6 = 0\)
Factorize the left side.
\(-(3\cos(x) + 2) (4\cos(x) - 3) = 0\)
Solve the two cases for \(\cos(x)\).
\(3 \cos(x) + 2 = 0 \text{ or } 4\cos(x) - 3 = 0\)
\(\cos(x) = -\dfrac23 \text{ or } \cos(x) = \dfrac34\)
From the first equation, we get one family of solutions:
\(\cos(x) = -\dfrac23\)
\(x = \cos^{-1}\left(-\dfrac23\right) + 2n\pi \text{ or } x = -\cos^{-1}\left(-\dfrac23\right) + 2n\pi\)
From the second equation, we get another family:
\(\cos(x) = \dfrac34\)
\(x = \cos^{-1}\left(\dfrac34\right) + 2n\pi \text{ or } x = -\cos^{-1}\left(\dfrac34\right) + 2n\pi\)
where \(n\) is an integer.
We get solutions in the given domain for
\(n = 0 \implies \boxed{x = \cos^{-1}\left(-\dfrac23\right)} \text{ or } \boxed{x = \cos^{-1}\left(\dfrac34\right)}\)
\(n=1 \implies \boxed{x = 2\pi - \cos^{-1}\left(-\dfrac23\right)} \text{ or } \boxed{x = 2\pi - \cos^{-1}\left(\dfrac34\right)}\)
unit 3 mcq progres check ap csa Consider the following variable declarations and initializations.int a = 2;int b = 6;int c = 3;Which of the following expressions evaluates to false ?
Based on the variable declarations and initializations you provided:
int a = 2; int b = 6; int c = 3;
An expression that evaluates to false would be one where the conditions are not met. For example:
(a + b == c)
This expression checks if the sum of a and b is equal to c. In this case, (2 + 6) is not equal to 3, so the expression evaluates to false.
One possible solution is:
The given variable declarations and initializations are:
int a = 2;
int b = 6;
int c = 3;
To evaluate which of the following expressions is false, we need to look at each expression and see if it produces a Boolean value of false.
a < b || c > b
This expression is true because 2 is less than 6 and 3 is greater than 6. Therefore, the OR operator (||) returns true because at least one of the operands is true.
a + b > c && c - a < b
This expression is true because 2 + 6 is greater than 3 and 3 - 2 is less than 6. Therefore, the AND operator (&&) returns true because both operands are true.
b % c == a || c * b < a
This expression is false because 6 % 3 is equal to 0, which is not equal to 2. Therefore, the equality operator (==) returns false. Moreover, 3 times 6 is 18, which is not less than 2. Therefore, the second operand is also false. Therefore, the OR operator (||) returns false because both operands are false.
Therefore, the expression "b % c == a || c * b < a" evaluates to false.
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Write the trigonometric expression as an algebraic expression in u. cot (sin 1u) cot (sin 1] (Type an exact answer, using radicals as needed.)
We can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.
To express the trigonometric expression cot(sin(1u)) cot(sin(1]) as an algebraic expression in u, we need to apply trigonometric identities and simplify it.
Let's start by using the identity cot(x) = 1/tan(x):
cot(sin(1u)) cot(sin(1]) = (1/tan(sin(1u))) (1/tan(sin(1]))
Next, we'll use the identity tan(x) = sin(x)/cos(x) to rewrite the tangents in terms of sine and cosine:
= (1/(sin(1u)/cos(1u))) (1/(sin(1)/cos(1]))
Simplifying further, we can multiply the reciprocals:
= (cos(1u)/sin(1u)) (cos(1)/sin(1))
Now, let's use the identity sin(2x) = 2sin(x)cos(x) to express the sines and cosines in terms of sine of half-angles:
= (cos(1u)/(2sin(1/2u)cos(1/2u))) (cos(1)/(2sin(1/2)cos(1/2)))
= (cos(1u)/2sin(1/2u)cos(1/2u)) (cos(1)/2sin(1/2)cos(1/2))
Since cos(x)cos(y) = (1/2)[cos(x+y)+cos(x-y)], we can use this identity to simplify the expression further:
= (cos(1u)/2sin(1/2u)(1/2)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))
= (cos(1u)/4sin(1/2u)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))
Now, we can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.
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7+4x= -5 helppppppppppppp
3
Sarah earns 6 hours of computer time when she completes all her homework for the week.
Next year, her computer time will be raised by 40%. What is the new total amount of time
Sarah can earn next year when she completes all of her homework for the week?
A. 3 hours and 36 minutes
B. 6 hours and 9 minutes
OC. 8 hours and 24 minutes
D. 8 hours and 40 minutes
Answer:
i think its c too i mean it looks like you picked c too
Step-by-step explanation:
lol
Prove that any nonempty subset of a linearly independent set of vectors {v₁, ..., vₙ} is also linearly independent.
Any nonempty subset of a linearly independent set of vectors {v₁, ..., vₙ} is also linearly independent.
To prove that any nonempty subset of a linearly independent set of vectors {v₁, ..., vₙ} is also linearly independent, follow these steps:
1. Consider a nonempty subset S of the linearly independent set of vectors {v₁, ..., vₙ}. Let S = {w₁, ..., wₖ}, where k ≤ n.
2. Recall that a set of vectors is linearly independent if the only linear combination of the vectors that equals the zero vector is the trivial linear combination, where all coefficients are zero.
3. Now, consider a linear combination of vectors in S: a₁w₁ + a₂w₂ + ... + aₖwₖ = 0, where a₁, a₂, ..., aₖ are scalars.
4. Since S is a subset of {v₁, ..., vₙ}, each wᵢ in S is also in {v₁, ..., vₙ}. Therefore, the linear combination a₁w₁ + a₂w₂ + ... + aₖwₖ = 0 can be rewritten as a linear combination of the vectors in {v₁, ..., vₙ}.
5. Because {v₁, ..., vₙ} is a linearly independent set, the only way the linear combination of its vectors can equal the zero vector is if all coefficients are zero. This implies that a₁ = a₂ = ... = aₖ = 0.
6. Since the only linear combination of vectors in S that equals the zero vector is the trivial linear combination, S is also linearly independent.
Therefore, any nonempty subset of a linearly independent set of vectors {v₁, ..., vₙ} is also linearly independent.
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Simplify this equation is easiest form.
Answer:
no. 4
Step-by-step explanation:
=25x - 125/x^2 - 25
=25(x-5) / x^2 - 5^2
=25(x-5) / (x-5) (x+5) <use of formula a^2 - b^2=(a-b) (a+b)>
=25/x+5 <cut (x-5) on both side>
Sodas cost $1.50 and a cup of coffee costs $1.25 at a football game. Sally
bought 8 drinks total for all of her friends and her total cost was $11.50. How
many of each drink did she buy?
Answer:
the answer 4
Step-by-step explanation:
4 of each because (1.25x4) + (1.50x4) = 11.50
Answer:
Sally bought 6 sodas and 2 cups of coffee.
Step-by-step explanation:
Variable x = number of sodas
Variable y = number of coffees
$1.50x + $1.25y = $11.50
x + y = 8 drinks
$1.50(6) + $1.25(2) = $11.50
$9.00 + $2.50 = $11.50
I simply plugged in numbers that totalled to 8 drinks until I reached $11.50 as the total.
For example:
$1.50(5) + $1.25(3) = $11.50
$7.50 + $3.75 = $11.50
$11.25 = $11.50
This is not correct as they do not equal so this cannot be the answer.