The number of voters that should be sampled for a confidence interval depends on the desired level of confidence and the margin of error.
A larger sample size generally leads to a smaller margin of error and a higher level of confidence in the accuracy of the results. However, the relationship between sample size and margin of error is not linear, meaning that doubling the sample size will not necessarily halve the margin of error.
To calculate the required sample size, a formula can be used that takes into account the margin of error, level of confidence, and population size.
the number of voters that should be sampled for a confidence interval depends on several factors and cannot be determined without more information.
To determine the required sample size, you can use the following formula:
n = (Z^2 * p * (1-p)) / E^2
Where:
- n is the sample size
- Z is the Z-score (usually 1.96 for a 95% confidence interval)
- p is the estimated proportion of the population (usually 0.5 for the worst-case scenario)
- E is the margin of error (in decimal form)
Hence, without the specific margin of error, we cannot provide the exact sample size needed.
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Plz help, thank you if you do.
Mathematics
Answer:
600
Step-by-step explanation:
gc= x+y/x solve for x
What is the surface area of this design?
PLEASE HELP ASAP!!
SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150
Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side, so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.
The numbers are opposites.
The distance between the two numbers on the number line is 18.
9 and -9
Step-by-step explanation:
The distance between both are 18, and they are opposites because one is positive, and the other is negative.
Find the missing term of the following arithmetic sequence.
...3, , 27, ...
Answer:
We can find the common difference by subtracting the first term from the second term, or the second term from the third term:
27 - 3 = 24
So the common difference is 24.
To find the missing term, we can add the common difference to the second term:
27 + 24 = 51
Therefore, the missing term in the sequence is 51.
The complete sequence is:
3, 27, 51, ...
Divide. Give the Quotient and Remainder. 520 / 22
Answer:
Quotient=23 and remainder=14
Prove that
-40/5
is a negative number by rewriting the
expression as a multiplication expression. Justify your
work in the text box below.
1st method:-
\( \frac{ - 40}{5} \) can also be written as\( - 40 \times \frac{1}{5} \)
We know that anything we multiply ( except 0 ) with a negative number , the product is also a negative number.
2nd method:-
\( \frac{ - 40}{5} = - 8\) We can write - 8 as \(8 \times ( - 1)\)
We know that anything we multiply ( except 0 ) with a negative number , the product is also a negative number.
The standard deviation of a sampling distribution of sample means is also called the _____.
a. sampling deviation.
b. distribution error.
c. sampling error.
d. standard error
The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.
The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.
The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.
The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:
Standard Error = (Population Standard Deviation) / √(Sample Size)
The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.
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4
Which irrational number is located between 5 and 6 on the number line?
O A.
5+6
2.
O B.
5+6
O C.
5.6
2
OD.
15.6
Answer:
D √( 5 • 6)
Step-by-step explanation:
√( 5 •6)
√30 ≈ 5.4772255751
The average mark on the first 4 tests Sally took was 76. What average mark does Sally need on the next two tests to have an average of 80 for all of the tests?
The average mark that Sally need on the next two tests to have an average of 80 for all of the tests is 88.
How to calculate the average?Since the average mark on the first 4 tests Sally took was 76. The total marks will be:
= 76 × 4
= 304
Since she wants an average of 80 on 6 test, the total will be:
= 80 × 6
= 480
Therefore, the average needed in the two tests will be:
= (480 - 304) / 2
= 88
The average is 88.
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please help ! it weould mean the world to me
See attachment for math work and answer.
is x to the 12th power times x to the fourth power equal to x to the 8th power times x to the 8th power? Explain
The equation is simplified as \(x^{16}=x^{16}\).
The given equation is \(x^{12} . \ x^{4} = x^{8} . \ x^{8}\).
We need to simplify and explain the equation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Use the exponent rule \(a^m . \ a^n=a^{m+n}\) to simplify the given equation.
Now, \(x^{12} . \ x^{4} = x^{8} . \ x^{8}\)
⇒ \(x^{12+4}=x^{8+8}\)
⇒ \(x^{16}=x^{16}\)
The exponents of both the sides of equation are the same.
Therefore, the equation is simplified as \(x^{16}=x^{16}\).
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PLEASE HELP IM STUCK PLS
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, b is the y-intercept.
we need to transform x + 2y = 6, so that we end up with y being all alone on one side, and the rest on the other side.
x + 2y = 6
2y = -x + 6
y = -x/2 + 6
What is the value of v? With working out please
Answer:
v = 130
Step-by-step explanation:
substitute the given values for u, a and t into the equation
v = 32 + ( 9.8 × 10) = 32 + 98 = 130
HELP PLEASEE
A baker uses 63 cups of flour and 72 cups of water for a recipe. The flour to water ratio is 63:72 how much water does the baker need if he uses only 7 cups of flour?
Answer:
8 cups of water
Step-by-step explanation:
63/7=9
72/9=8
The variance of a distribution of means of samples of more than one is
A) smaller than the original population variance.
B) the same as the original population variance.
C) greater than the original population variance.
D) unrelated to the original population variance.
The variance of a distribution of means of samples of more than one is A) smaller than the original population variance.
When considering the distribution of means of samples, the central limit theorem states that as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution. Additionally, the standard error of the mean decreases as the sample size increases.
The variance of a population is denoted by σ^2.
The variance of the distribution of sample means, also known as the sampling distribution, is denoted by σ^2/N, where N is the sample size.
As the sample size (N) increases, the denominator increases, leading to a smaller value for the variance of the distribution of sample means (σ^2/N). Thus, the variance of the distribution of means of samples is smaller than the original population variance.
The variance of a distribution of means of samples of more than one is smaller than the original population variance. This is due to the central limit theorem and the decrease in standard error as the sample size increases.
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3. Calculate the following: a) 5-9 d) 8-8 g) -1 + 12 j) -12 + 12 m) -2 +4+3 p) -4-3+2-1 4. Calculate the following: a) 3+ -2 d) −5+-2 al 2−−3+-4 mo b) 2 + 7 e) −2+5 h)-8-22 k) 2+4-3 n) -2+4-3 193 b)-4--56/t e) 8-+3 h) | +-2--3
The arithmetic expressions are solved and answered below -
5 - 9 = - 4
8 - 8 = 0
- 1 + 12 = 11
- 12 + 12 = 0
- 2 + 4 + 3 = 5
- 4 + 3 + 2 - 1 = - 2 + 2 = 0
What are algebraic expressions?In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -
2x + 4y + 5z
4y + 2x
Given are the expressions as given in the questions.
{a} -
5 - 9 = - 4
{b} -
8 - 8 = 0
{c} -
- 1 + 12 = 11
{d} -
- 12 + 12 = 0
{e} -
- 2 + 4 + 3
5
{f} -
- 4 + 3 + 2 - 1 = - 2 + 2 = 0
Therefore, the arithmetic expressions are solved and answered below -
5 - 9 = - 4
8 - 8 = 0
- 1 + 12 = 11
- 12 + 12 = 0
- 2 + 4 + 3 = 5
- 4 + 3 + 2 - 1 = - 2 + 2 = 0
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{Complete question -
Calculate the following:
a) 5-9
b) 8-8
c) -1 + 12
d) -12 + 12
e) -2 +4+3
f) -4-3+2-1}
Help I will give brainly !its a math question image is attached below
Answer:
50 degrees
Step-by-step explanation:
Alternate interior angles are equal
Answer:
the answer is 50 dg I took the test lol my explanation is that the line is going obtuse
Which is the graph of x^2/9 + y^2/4 = 1
Answer:
Step-by-step explanation:
it is an ellipse.
The graph of the ellipse (x²/3²) + (y²/2²) = 1 is given in the image below.
What is an ellipse?An ellipse is a closed curve in a plane that is symmetric around two perpendicular lines known as the ellipse's axis.
The given equation is in the standard form of the equation of an ellipse centered at the origin with its major axis on the x-axis and its minor axis on the y-axis:
(x²/3²) + (y²/2²) = 1
The square of the semi-major axis (a) is 3² = 9, so the semi-major axis is a = 3.
The square of the semi-minor axis (b) is 2² = 4, so the semi-minor axis is b = 2.
Therefore, the characteristic of the given ellipse is:
a²- b² = 9 - 4 = 5
So the characteristic of the ellipse is 5.
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Como lo hago ?
ayúdenme por favor
la respuesta para la ecuación es -5
Kenneth's family is going to relax at the beach all day! In preparation, Kenneth made s sandwiches for them to eat when they get hungry. Kenneth put 3 slices of turkey and 3 slices of ham on each sandwich.
He also added lettuce, tomatoes, and cheese. Kenneth also made sure to put plenty of condiments like mayonnaise and mustard on each sandwich.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
Kenneth's family was excited to get to the beach. When they arrived, they set up their umbrellas and beach chairs and found a spot to settle down. After they were all settled, Kenneth passed out the sandwiches he had made. Everyone was satisfied with the delicious sandwiches Kenneth had created.
Kenneth's family enjoyed their day at the beach. They swam in the ocean, built sandcastles, and played volleyball. They even laid out and got a nice tan. As the day got hotter, Kenneth's family got hungrier. Fortunately, they still had the sandwiches Kenneth had made. Everyone was thankful for the delicious sandwiches that Kenneth had prepared for them.
After a fun day at the beach, Kenneth's family packed up their things and headed home. Kenneth was happy that he could provide for his family and make their day even better. He was grateful for the opportunity to make the sandwiches for his family and make their day at the beach even more enjoyable.
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Evaluate the following expressions for b=2 and c=7
Answer:
Look at step by step for answer.
Step-by-step explanation:
9. 5 + 2 + 7= 14
10. 16 + 2 - 7= 11
11. 7 - 2 + 1= 6
12. 9(2) - 7= 11
13. 7(7) - 2= 47
14. 4(7) + 2= 30
15. 12(2) + 7= 31
16. 22 + 2 - 7= 17
3. What is the equation of a line with a slope of -2 and a
y-intercept of (0,-7)?
Answer:
y = -2x - 7
Step-by-step explanation:
The general formula of a linear graph is y = mx + c
where m is the gradient and c is the y-intercept
The slope (aka gradient) is -2, hence m= -2
and the y-intercept is -7, hence c = -7
Therefore, y = -2x + (-7)
y = -2x - 7
Answer:
y = -2x -7Step-by-step explanation:
m = -2
y-intercept = -7
In y=mx+b (slope intercept form) ,
m = slope
b =y-intercept
Substitute the given values into slope intercept form
\(y = -2x -7\)
PLEASE HELP!
The number of fungi in a petri dish on the first day was 87 cells. If the number of fungi increase at a rate of 62% per day, how many bacteria cells will there be after 7 days?
Answer:
There will be 2,547 bacteria after 7 days.
Step-by-step explanation:
\(87*1.62^{7} =2547\)
After 7 days there will be 2547.55 cells in a petri dish if the number of fungi in a petri dish on the first day was 87 cells. If the number of fungi increases at a rate of 62% per day.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a×
where a is a constant and a>1
We have:
The number of fungi in a petri dish on the first day was 87 cells. If the number of fungi increases at a rate of 62% per day.
As we know,
The standard form of the exponential growth equation:
y = a(1 + r)×
Here,
a is the starting value:
a = 87 cells
r = 62% = 0.62
x = 7 days
y = 87(1 + 0.62)⁷
After solving:
y = 2547.55 cells
Thus, after 7 days there will be 2547.55 cells in a petri dish if the number of fungi in a petri dish on the first day was 87 cells. If the number of fungi increases at a rate of 62% per day.
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HELP you will get brainlie
Answer:
A. 112 units^2
Step-by-step explanation:
64 + 32 + 12 + 4 = 112
Which angle is vertical to 2?
Answer:
Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . Vertical angles are always congruent .
Step-by-step explanation:
i hop this halp
Question 2
A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. The customer provides the paint. Which function can be used to find the cost of
hiring a painter, y, for a certain number of hours, x, worked?
Answer
F y=40x+35
G y=35x-40
H y=75x
J y=35x+40
26 hours because you subtract 40 from 950 since the painter needs 40 for a ladder then you get 910.then you divide (910\35)... that how you get 26
ladder rental: $40
Charge per hour: $35
x=hours
cost=fixed cost + (charge per hours x hours)
Replacing with the values given:
y=40+35x
or
y=35x+40
PLEASE MARK ME AS BRAINLIEST
which criterion is least likely to be used in choosing bins (classes) in a frequency distribution?
The criterion that is least likely to be used in choosing bins (classes) in a frequency distribution is personal preference or subjective judgment.
When constructing a frequency distribution, it is important to consider objective criteria based on the nature of the data and statistical principles. Common criteria used for choosing bins include the range of the data, the desired number of bins, the shape of the data distribution, and the purpose of the analysis. These criteria help ensure that the bins effectively capture the variation in the data and provide meaningful insights. Personal preference or subjective judgment, on the other hand, may introduce bias and lack objectivity in determining the bin boundaries. It is essential to rely on objective criteria and statistical guidelines to make informed decisions when choosing bins for a frequency distribution.
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Maximize Z = 120 x1 + 80 x2, S.T. x1 ≤ 40 x2 ≤ 10 20 x1 + 10 x2 < 500 and x1 ≥ 0, x2 ≥ 0. Use the graphical method to solve this model (show detailed work)
the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.
To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:
1. Plot the constraints:
- Plot the line x1 = 40 (vertical line at x1 = 40).
- Plot the line x2 = 10 (horizontal line at x2 = 10).
- Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).
- Shade the feasible region that satisfies all the constraints.
2. Identify the corner points:
- Determine the coordinates of the corner points where the boundary lines intersect.
3. Evaluate the objective function:
- Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.
4. Determine the optimal solution:
- Select the corner point that maximizes the objective function Z.
Here's the graphical representation of the feasible region:
|
40 | C
| /
| /
| /
| /
| /
| / Feasible Region
10 |_____/_________________
0 10 20 30 40 50
0`
The corner points of the feasible region are:
A: (0, 0)
B: (0, 10)
C: (25, 0)
D: (20, 5)
Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:
Z(A) = 120(0) + 80(0) = 0
Z(B) = 120(0) + 80(10) = 800
Z(C) = 120(25) + 80(0) = 3000
Z(D) = 120(20) + 80(5) = 2400
From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).
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For triangle FGH the measure in degrees of angles F,G, And H are 86,32, and 3x+5 respectively what is the value of x?
Answer:
The answer is 19
Step-by-step explanation:
add like terms which are 86 32 and 5 and you get 123 subtract that from 180 and get 57 divide 57 by 3 and get 19
Answer:
The answer is 19
Step-by-step explanation: