Margin of error: 0.005 ; confidence level: 96%; p^ and q^ unknown
Using the z-distribution, it is found that the minimum sample size required is of 42,190.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 96% confidence level, hence[tex]\alpha = 0.96[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.96}{2} = 0.98[/tex], so the critical value is z = 2.054.
As for the other parameters, we have that M = 0.005 and [tex]\pi = 0.5[/tex], as there are no estimates of the proportion. Hence, we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.005 = 2.054\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.005\sqrt{n} = 2.054(0.5)[/tex]
[tex]\sqrt{n} = \frac{2.054(0.5)}{0.005}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.054(0.5)}{0.005}\right)^2[/tex]
[tex]n = 42189.16[/tex]
Rounding up, the minimum sample size required is of 42,190.
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Find the square root of 2937.44 by the arithmetic method
The square root of 2937.44 by the arithmetic method is 54.20.
What is the square root of the number?
The square root of a number can be described as the value derived when a number is divided into two equal halves. The square root of 64 is 8. This is because 8 multiplied by 8 is equal to 64. The sign used to represent square root is √.
√2937.44 = 54.20
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PLEASE HELP ME!!!
Question 1 Part D (2 points): Which of the following is NOT an example of the closure property as it relates to polynomials?
A.
(x + 2)(2x - 1) = 2x² + 3x - 2
B.
(x³ - x² + 4) - (2x² + 5) = x³ - 3x² - 1
C.
(2x)(0) = 0
D.
(2x³ - x² - 5x + 4) + (x³ - 2x² + 1) = 3x³ - 3x² - 5x + 5
E.
None of the above because all are examples of the closure property as it relates to polynomials
None of the above because all are examples of the closure property as it relates to polynomials.
Closure property of the functionA function is known to be closed if its input value is equal to its output.
Accordng to the question, we need to select the function that obeys the law of closure.
To select the correct polynmials, we need to determine the function that has its left hand side equal to the right.
From the given options,we can see that all their right hand sides are equal to the left, hence we can conclude that "none of the above because all are examples of the closure property as it relates to polynomials"
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Each month, Edward budgets $1860 for fixed expenses, $860 for living expenses
and $250 for annual expenses. His annual net income is $32,508.
Which statement best describes his monthly budget?
Answer:
His annual net income.
Step-by-step explanation:
Hope it helps.
MUTUALLY OR NOT MUTUALLY EXCLUSIVE EVENTS?
Answer:
All are not mutually exclusive events
If UVWX is a parallelogram, what iS the value of y?
The left and right sides need to be the same to be a parallelogram .
15 = 1/4y
Divide both sides by 1/4
Y = 60
Answer: B. 60
Answer:
its 60
Step-by-Step Explantion:
Gavyn, Pip and Mark share £102 in a ratio 1:2:3. How much money does each person get?
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio , 1 + 2 + 3 = 6 parts
divide the amount by 6 to find the value of one part of the ratio
£102 ÷ 6 = £17 ← value of 1 part of the ratio , then
2 parts = 2 × £17 = £34
3 parts = 3 × £17 = £51
Gavyn gets £17
Pip gets £34
Mark gets £51
M is the midpoint of LN, LM = 2x + 10, and MN = 4x - 2, what is LM?
Answer:
LM=22
Step-by-step explanation:
Check out the attached photo
answer please hfghfg
Answer:
it is D 6 x 10,000+3x 1000+9 x100 +1 x10 +4 x1 +2 x0.1 +5 x0.01
Step-by-step explanation:
hope this helps pls makes as brainliest
Why is ten times ten?
Answer:
100
Step-by-step explanation:
10 · 10 = 100
Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.
So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.
Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)
Find the value of xxx in the isosceles triangle shown below. Choose 1 answer: Choose 1 answer: (Choice A) A x = 20x=20x, equals, 20 (Choice B) B x = 7x=7x, equals, 7 (Choice C) C x=\sqrt{52}x= 52 x, equals, square root of, 52, end square root (Choice D) D x = \sqrt{40}x= 40 x, equals, square root of, 40, end square root
Answer:
look at pic
Step-by-step explanation:
In the given case, the value of "x" in the given isosceles triangle is 18 degrees.
The given triangle is an isosceles triangle, which means that it has two equal sides. Let's denote the length of each equal side as "x".
To find the value of "x", we need to use the properties of an isosceles triangle. In an isosceles triangle, the base angles (the angles opposite to the equal sides) are congruent (equal in measure).
Since the base angles are congruent, we can set up the following equation: 2x + 3x + 5x = 180 degrees
Combining like terms, we have: 10x = 180 degrees
To solve for "x", we divide both sides of the equation by 10: x = 18 degrees
Therefore, the value of "x" in the given isosceles triangle is 18 degrees.
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could someone help me super duper fast with factoring trinomials
my previous questions are worth 50 each by the way
Answer:
(3a+3b+1)(2a+2b+3)
Step-by-step explanation:
This is the farthest they could be factored
#1
6(a+b)²+11(a+b)+3Let a+b=x
6x²+11x+36x²+2x+9x+32x(3x+1)+3(3x+1)(2x+3)(3x+1)Put value
(2(a+b)+3)(3(a+b)+1)#2
8(x+1)²-14(x+1)+3Let x+1=y
8y²-14y+38y²-2y-12y+32y(4y-1)-3(4y-1)(2y-3)(4y-1)Put value
(2(x+1)-3)(4(x+1)-3)6. The angles of triangle ABC measure 30 degrees, 40 degrees, and 110 degrees. Will
its circumcenter fall inside the triangle, on the triangle, or outside the
triangle? Explain your reasoning.
Answer: Outside the triangle
Step-by-step explanation:
Because one of the angles has a measure greater than 90 degrees, we know that the triangle must be obtuse. Therefore, the circumcenter must fall outside the triangle because in an obtuse triangle, the circumcenter is always located outside of the triangle.
Anna took a job that paid $100 the first week she qaa guaranteed a raise of 5% each week how much money will she make in all over 8 weeks round the answer to the nearest cent
Answer:
140.71
Step-by-step explanation:
WEEK 1- 100
WEEK 2- 105
WEEK 3-110.25
WEEK 4-115.7625
WEEK 5-121.550625
WEEK 6-127.62815625
WEEK 7-134.009564063
WEEK 8-140.710042266
By using an exponential equation, we will see that in the first 8 weeks she makes $954.90.
How much will she make in 8 weeks?
We know that the first week she makes $100, and for each week after that, she makes an extra 5%.
Then, the second week she makes:
W(2) = $100*(1 + 5%/100%) = $100*(1.05)
The third week she makes:
W(3) = $100*(1.05)*(1 + 5%/100%) = $100*(1.05)^2
We already can see the exponential pattern, for the N-th week, the salary will be:
W(N) = $100*(1.05)^(N - 1)
Then what she wins in the first 8 weeks is:
W(1) = $100W(2) = $100*1.05 = $105W(3) = $100*(1.05)^2 = $110.25W(4) = $100*(1.05)^3 = $115.75W(5) = $100*(1.05)^4 = $121.55W(6) = $100*(1.05)^5 = $127.63W(7) = $100*(1.05)^6 = $134.01W(8) = $100*(1.05)^7 = $140.71Now we just need to add these 8 values, we will see that the total money that she makes in these 8 weeks is:
M = $954.90
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These are so hard I’m not sure how to do them :((
Answer:
8 out of 52
or
4 out of 26
Step-by-step explanation:
So you have a 52 deck of cards there are:
Number 6 cards = 4
Number 10 cards = 4
there is a 8 out of 52 chance of you pulling a 6 or 10 card
or (simplify)
4 out of 26 chance
~Denki Kaminari here~
here, this may help you on how to solve probability:
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
The best example for understanding probability is flipping a coin: There are two possible outcomes—heads or tails.
What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%. But how do we work that out? Probability = one chance that it we can calculate/ one chance on pure probability
Formula for calculating the probability of certain outcomes for an event
Formula for calculating the probability of certain outcomes for an event
In this case:
Probability of a coin landing on heads
Probability of a coin landing on tails
Probability of an event = (# of ways it can happen) / (total number of outcomes)
P(A) = (# of ways A can happen) / (Total number of outcomes)hope this helps :D
What is the approximate area of the shaded region?
Answer:
383 cm²
Step-by-step explanation:
⇒ Area of the figure = Area of the circle - Area of the 5-sided polygon (pentagon)
Finding P (Perimeter of the Pentagon)
P = 5(21.2)P = 106 cmFinding Area
A = πr² - 1/2PaA = 3.14 x (19.8)² - 1/2 x 106 x 16A = 3.14 x 392.04 - 53 x 16A = 1231.0056 - 848A = 383.0056 ≅ 383 cm²can somebody help me please
Answer:
35, 13, 1, -1, 7
Step-by-step explanation:
Repeated evaluation of the same function is accomplished easily by a calculator or spreadsheet. It is a good idea to become familiar with this technology.
__
If you're doing this by hand, writing the equation in Horner form can make it easier to evaluate.
f(x) = (5x -7)x +1
Then ...
f(-2) = (5(-2) -7)(-2) +1 = (-17)(-2) +1 = 34 +1 = 35
f(-1) = (5(-1) -7)(-1) +1 = (-12)(-1) +1 = 12 +1 = 13
f(0) = 1 . . . . the constant term
f(1) = (5(1) -7)(1) +1 = (-2)(1) +1 = -2 +1 = -1
f(2) = (5(2) -7)(2) +1 = (3)(2) +1 = 6 +1 = 7
In order, the f(x) values are 35, 13, 1, -1, 7.
Find the measure of each angle in the isosceles trapezoid.
Answer:
R = 98 degree
Q = 82 degree
T = 98 degree
Write the equation for the function graphed attached
f(x)=
Answer:
here
Step-by-step explanation:
What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young
Answer:
C
Step-by-step explanation:
The poem itself, which is a funny description of sports.
Answer: C) the peom itself which is funny description of sports.
Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.
Which shapes show equivalent fractions?
A.shapes A and B
B.shapes A and C
C.shapes B and C
D.shapes C and D
Please help me, I don't understand this-
Ms. Martin's new truck weighs 2 tons. 2 Which measurement is equivalent to the weight of her truck? F 2.500 pounds H 4,500 pounds G 6,000 pounds J 5,000 pounds
Answer:
i think its J 5,000 pounds
Step-by-step explanation:
please help me Find the value of x .
Answer: x=6
Step-by-step explanation:
3x+2+2x-2
/2
=15
A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?
Answer:
[tex]\frac{27}{64} x^{3} y^{3} cm^{3}[/tex]
Step-by-step explanation:
0.75 means 75/100 which is equal to 3/4.
Cube of 3/4 is [tex]\frac{3^{3} }{4^{3} }[/tex]= 27/64
x cube means x will be multiplied with itself thrice, which is [tex]x^{3}[/tex]and following the same logic, y cube means y will be multiplied with itself three times which is [tex]y^{3}[/tex]. The unit [tex]cm^{3}[/tex]at the last is very important, because, without it, the value does not show that this value is used to represent a volume so we write the units after writing the value.
3,5,6 please help me with these
Answer:
you cant do these they are 3rd and 4th questions
Step-by-step explanation:
Answer:
You can find the answers by dividing the numbers
Step-by-step explanation:
Hmu if u still need help :)
if 1/5 of 100 oranges is given to Ade and 1/4 of the remaining orange is given to Hardy what fraction of the orange is left
Answer:
3/5
Step-by-step explanation:
5/5 - 1/5 = 4/5
4/5 × 4/4 = 16/20
16/20 - 4/20 (1/4) = 12/20
12/20=3/5
I think this is right
The remaining fraction of oranges left is A = 3/5 of the total oranges
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the remaining fraction of oranges be A
And , if 1/5 of 100 oranges is given to Ade, then Ade gets:
1/5 * 100 = 20 oranges
The remaining oranges are:
100 - 20 = 80 oranges
Now , if 1/4 of the remaining oranges is given to Hardy, then Hardy gets:
1/4 * 80 = 20 oranges
So the total number of oranges given away is:
20 (Ade) + 20 (Hardy) = 40 oranges
The fraction of the oranges that is left is:
(100 - 40) / 100 = 60 / 100 = 3/5
Hence , 3/5 of the oranges are left
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why does a week have seven days
Hi!the week has seven days because the Babylonians, who lived in modern-day Iraq, were astute observers and interpreters of the heavens, and it is largely thanks to them that our weeks are seven days long. The reason they adopted the number seven was that they observed seven celestial bodies — the Sun, the Moon, Mercury, Venus, Mars, Jupiter and Saturn.
the main reason is :
Avid astronomers and astrologers, the developed a kind of horoscope around 500 where each day of the week was assigned to one of the classical planets – the seven celestial bodies visible to the eye. These are the Sun, the Moon, Mars, Mercury, Jupiter, Venus, and saturn
Arjun and Jasmine are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Arjun sold 4 bags of windflower bulbs and 14 bags of daffodil bulbs for a total of $252. Jasmine sold 8 bags of windflower bulbs and 6 bags of daffodil bulbs for a total of $152. What is the cost each of one bag of windflower bulbs and one bag of daffodil bulbs?
A.
bag of windflower bulbs: $9, bag of daffodil bulbs: $20
B.
bag of windflower bulbs: $7, bag of daffodil bulbs: $16
C.
bag of windflower bulbs: $9, bag of daffodil bulbs: $18
D.
bag of windflower bulbs: $4, bag of daffodil bulbs: $21
Answer: D
Step-by-step explanation: im pretty sure its d because 21 is the right awnser let me know if im wrong hope it helps
Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5 yards. what is the total cost?
Answer:
$38.25
Step-by-step explanation:
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
width = 2.5 ydlength = 6 yd⇒ perimeter = (2 x 2.5) + (2 x 6)
= 5 + 12
= 17 yd
Given:
cost of fence = $2.25 per foot⇒ total cost = 17 x 2.25
= $38.25
Perimeter:-
2(L+B)2(6+2.5)2(8.5)17ydToatl cost::
17(2.25)34+4.2538.25$What is the equation of the line that passes through the point(6,-2) And has an undefined slope
Answer:
X=6
Step-by-step explanation: