As the value of n increases, the standard deviation of phat (the sample proportion) decreases. Therefore, the correct answer is D. It decreases.
The standard deviation of phat is inversely proportional to the square root of the sample size. This means that as the sample size increases, the standard deviation decreases. The larger the sample size, the more precise the estimate of the population proportion becomes, leading to a smaller spread or variability in the sample proportions.
This relationship is a fundamental property of the sampling distribution of the sample proportion. As the sample size increases, the variability due to sampling decreases, resulting in a more accurate and precise estimation of the population proportion.
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Hi I am Morgen and I need help on this question.
SOLUTION;
Sold for 5/6 of the original price.
The original price was $90.
The sale price of the baseball glove is;
\(\begin{gathered} \frac{5}{6}\text{ X}\frac{\text{\$90}}{1} \\ \\ \text{ \$75} \end{gathered}\)The sale price of the baseball glove is $75.
use green's theorem to evaluate x^2 y^2dx x^2-y^2dy where c is the triangle with vertices 0,0 2,1 and 0,1
To evaluate line integral ∮C x^2y^2 dx + (x^2 - y^2) dy, where C is triangle with vertices (0,0), (2,1), (0,1), we can use Green's theorem,and determine value of line integral ∮C x^2y^2 dx + (x^2 - y^2) dy.
Green's theorem states that for a vector field F = (P, Q) with continuously differentiable components defined on a simply connected region R, the line integral of F along a simple closed curve C is equal to the double integral of the curl of F over the region R:
∮C F · dr = ∬R (curl F) · dA
In this case, our vector field is F = (x^2y^2, x^2 - y^2), and the region R is the triangle with vertices (0,0), (2,1), and (0,1).
We can compute the curl of F as follows:
curl F = (∂Q/∂x - ∂P/∂y) = (2x - (-2y)) = 2x + 2y
Now, we can evaluate the double integral using Green's theorem:
∬R (curl F) · dA = ∬R (2x + 2y) dA
The triangle R can be divided into two sub-triangles, and we can compute the double integral separately for each sub-triangle. By performing the double integral, we can determine the value of the line integral ∮C x^2y^2 dx + (x^2 - y^2) dy over the given triangle.
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according to the moral choices textbook, ethics refers to the actual content of right and wrong while morality refers to the process of determining right and wrong.
According to the moral choices textbook, ethics and morality are distinct but interconnected concepts. Ethics refers to the actual content of what is considered right and wrong within a particular moral framework or system. It deals with the principles, values, and standards that guide human behavior and decision-making.
Ethics provides a set of norms or rules that help individuals evaluate actions and determine their moral worth.
On the other hand, morality refers to the process of determining right and wrong. It encompasses the various factors, such as cultural, societal, and personal influences, that shape an individual's moral beliefs and judgments.
Morality is a dynamic and complex phenomenon that evolves over time and differs across cultures and individuals. It involves the consideration of various perspectives, reasoning, and critical thinking to arrive at moral conclusions.
While ethics focuses on the principles and rules that define right and wrong, morality encompasses the broader context in which ethical decisions are made.
It involves the examination of motives, intentions, consequences, and the moral responsibility of individuals. In essence, ethics provides the foundation for morality, and morality applies ethical principles in the real-world decision-making process.
It is important to understand the distinction between ethics and morality to engage in meaningful discussions and analyses of moral choices and ethical dilemmas.
By recognizing the content and process aspects of ethics and morality, individuals can better navigate complex moral landscapes and make informed decisions aligned with their values and principles.
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which point is the best approximation of the relative maximum of the polynomial function graphed below
Answer:
C
Step-by-step explanation:
Answer: c
Step-by-step explanation:
(-3.6, 17)
NEED HELP NOW PLEASE
Answer:
C: Termal energy is added
Step-by-step explanation:
thermal energy is what makes ice turn into water and water turn into gas
he following data are collected as part of a study of coffee consumption among undergraduate students. the following values reflect cups per day consumed: 3 4 6 8 2 1 0 2 compute the sample mean. compute the sample standard deviation. construct a 95% ci for the mean number of cups of coffee consumed among all undergraduates.
Sample Mean: 3.25
Standard Deviation: 2.29
CI: 1.36 to 5.14
To compute the sample mean, add up all the values and divide the sum by the number of values in the data set. In this case, the data set is 3, 4, 6, 8, 2, 1, 0, 2.
Summing up the values: 3 + 4 + 6 + 8 + 2 + 1 + 0 + 2 = 26.
There are 8 values in the data set, so divide the sum by 8: 26 / 8 = 3.25.
Therefore, the sample mean is 3.25 cups of coffee per day.
To compute the sample standard deviation, we need to find the square root of the variance. The variance is the average of the squared differences from the mean.
First, calculate the squared differences from the mean for each value:
(3 - 3.25)^2 = 0.0625
(4 - 3.25)^2 = 0.5625
(6 - 3.25)^2 = 7.5625
(8 - 3.25)^2 = 20.0625
(2 - 3.25)^2 = 1.5625
(1 - 3.25)^2 = 5.0625
(0 - 3.25)^2 = 10.5625
(2 - 3.25)^2 = 1.5625
Next, find the average of these squared differences:
(0.0625 + 0.5625 + 7.5625 + 20.0625 + 1.5625 + 5.0625 + 10.5625 + 1.5625) / 8 = 5.25.
Finally, take the square root of the variance to find the sample standard deviation:
sqrt(5.25) ≈ 2.29.
Therefore, the sample standard deviation is approximately 2.29 cups.
To construct a 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates, we can use the formula:
CI = sample mean ± (t * (sample standard deviation / sqrt(n))),
where t is the t-value for the desired confidence level, sample standard deviation is the calculated standard deviation, sqrt(n) is the square root of the sample size, and the sample mean is the calculated mean.
For a 95% confidence level, with a sample size of 8, we can find the t-value from a t-table. The t-value for a 95% confidence level with 8 degrees of freedom is approximately 2.306.
Plugging in the values, the confidence interval is:
CI = 3.25 ± (2.306 * (2.29 / sqrt(8))).
Calculating the lower limit:
3.25 - (2.306 * (2.29 / sqrt(8))) ≈ 1.36.
Calculating the upper limit:
3.25 + (2.306 * (2.29 / sqrt(8))) ≈ 5.14.
Therefore, the 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates is approximately 1.36 to 5.14 cups per day.
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-2w+17<13 write as an inequality Please help
Answer: w>2
Step-by-step explanation:
-2w+17<13
= -2w+17-17<13-17
= -2w<-4
Reverse the inequality:
\(\left(-2w\right)\left(-1\right)>\left(-4\right)\left(-1\right)\)
2w>4
2w/2>4/2
w>2
What is 19.254 rounded to the nearest tenth and the nearest hundredth?
Answer:
To the nearest tenth
19.3
To the nearest hundredth
19.25
Step-by-step explanation:
This number is 19.3 to the nearest tenth because the nearest tenth is the first number. The number behind it is 5 so 2 rounds up to 3 hence the number is 19.3
To the nearest hundredth, this number is 19.25 because 4 doesn't round up so the number is the same.
Answer:
o
Step-by-step explanation:
Find the number in the hundredth place 5
and look one place to the right for the rounding digit 4
. Round up if this number is greater than or equal to 5
and round down if it is less than 5
19.25 Find the number in the tenth place 2
and look one place to the right for the rounding digit 5
. Round up if this number is greater than or equal to 5
and round down if it is less than 5
.19.3
A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)
Answer:
i think B is answer
Step-by-step explanation:
0.5x+9 = -3x+2
x = -2
y = -3x+2
y = -3(-2) +2
y = 6+2
y = 8
(x,y) = (-2,8)
Suzette made a bowl of punch for her party. She used 2 1/4 cups of orange juice and 3 1/2 cups of pineapple juice. She filled the container up to a total of 8 cups with mango nectar. How many mango nectar did she add? Show your work
To find out how many cups of mango nectar Suzette added, we need to subtract the combined amount of orange juice and pineapple juice from the total volume of the punch, which is 8 cups. Therefore Suzette added 9/4 cups of mango nectar to the punch bowl for her party.
The amount of orange juice used is 2 1/4 cups, which can be expressed as a mixed number or converted to an improper fraction as 9/4 cups. The amount of pineapple juice used is 3 1/2 cups, which can be expressed as a mixed number or converted to an improper fraction as 7/2 cups.
Now, let's calculate the sum of orange juice and pineapple juice: 9/4 + 7/2 = (9/4) + (14/4) = 23/4 cups. To determine the amount of mango nectar added, we subtract the sum of orange juice and pineapple juice from the total punch volume: 8 - 23/4 = (32/4) - (23/4) = 9/4 cups. Therefore, Suzette added 9/4 cups of mango nectar to the punch.
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If the 14 billion year history of the universe were compressed to one year, and "now" is exactly midnight December 31, approximately how long ago were your grandparents born?
-1 hour ago
-1 minute ago
-1 second ago
-0.15 second ago
If the 14 billion year history of the universe were compressed to one year, and "now" is exactly midnight December 31, one's grandparents would have have born 0.15 seconds ago. Correct option is D.
If the 14 billion year history of the universe were compressed to one year, then one day in this compressed timeline would represent approximately 38 million years of actual time. Therefore, midnight on December 31 would represent the end of the 14 billion year timeline.
Assuming an average lifespan of around 75 years, the birth of one's grandparents would have occurred approximately two generations ago. If we estimate the length of a generation to be around 30 years, then the birth of one's grandparents would have occurred approximately 60 years ago in actual time.
In the compressed timeline, one year would represent 14 billion years, so one hour would represent approximately 583 million years. Therefore, the birth of one's grandparents would have occurred approximately 0.1 seconds ago on this compressed timeline, which is equivalent to 0.15 seconds ago when rounded to the nearest hundredth of a second.
So, the answer is option D.
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Complete question is:
If the 14 billion year history of the universe were compressed to one year, and "now" is exactly midnight December 31, approximately how long ago were your grandparents born, they are 75 years?
-1 hour ago
-1 minute ago
-1 second ago
-0.15 second ago
Y^2 - X when X = 6 and Y = 11
Answer:
When X = 6 and Y = 11, (Y^2 - X)=(11^2-6)=(121-6)=115)
Step-by-step explanation:
How much film does he have
Answer:
not 100% sure what the question is
but he has 85 movies
that are about 9350 minutes runtime which is about 155.8 hours of film
Step-by-step explanation:
Use the long division method to find the result when 6x^2 + 26x^2 + 23x + 5 is divided by 3x + 1. explain all steps
Dividing 6x^2 + 26x^2 + 23x + 5 by 3x + 1 using the long division involves the use of groups or parts
The result when 6x^2 + 26x^2 + 23x + 5 is divided by 3x + 1 is 2x^2 + 8x + 5 with no remainder
How to carry out the long division?The dividend is given as:
6x^2 + 26x^2 + 23x + 5
And the divisor is 3x + 1
Step 1:Divide 6x^3 by 3x:
Result = 2x^2
Multiply 2x^2 by 3x + 1
=> 6x^3 + 2x^2
Subtract 6x^3 + 2x^2 from 6x^3 + 26x^2 + 23x + 5
=> 24x^2 + 23x + 5
Step 2:Divide 24x^2 by 3x:
Result = 8x
Multiply 8x by 3x + 1
=> 24x^2 + 8x
Subtract 24x^2 + 8x from 24x^2 + 23x + 5
=> 15x + 5
Step 3:Divide 15x by 3x:
Result = 5
Multiply 5 by 3x + 1
=> 15x + 5
Subtract 15x + 5 from 15x + 5
=> 0
Write out the sum of the results
Result = 2x^2 + 8x + 5
Hence, the result when 6x^2 + 26x^2 + 23x + 5 is divided by 3x + 1 is 2x^2 + 8x + 5 with no remainder
See attachment for the long division process
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(look at image) can i get help on this problem
Answer:
where is the image??? u should paste the image tooo.
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it?
I DO NOT WANT A LINK!!!!!!!!
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=\( \frac{P×T×R}{100}\) =$ \( \frac{850×8×8}{100}\) =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
Find the probability of landing in the blue circle on the dart
board below.
(No links)
subtract − 2 2 4 − 1 −2x 2 4x−1minus, 2, x, squared, plus, 4, x, minus, 1 from 6 2 3 − 9 6x 2 3x−96, x, squared, plus, 3, x, minus, 9.
The subtraction of (−2x^2 + 4x − 1) from (6x^2 + 3x − 9) results in the expression (8x^2 − 7x − 8).
To subtract (−2x^2 + 4x − 1) from (6x^2 + 3x − 9), we need to perform the subtraction operation for each corresponding term.
(6x^2 + 3x − 9) - (−2x^2 + 4x − 1) = 6x^2 + 3x − 9 + 2x^2 − 4x + 1
Combining like terms, we have:
8x^2 − 7x − 8
Therefore, the result of the subtraction is 8x^2 − 7x − 8.
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What is the value of the variable if
the trinomial 3x^2-x+1 and the trinomial 2x^2+5x-4 have the same value?
Answer:
x = 1 or 5
Step-by-step explanation:
You want the value(s) of x that make 3x^2-x+1 and 2x^2+5x-4 have the same value.
EquationEquating their values, we have ...
3x² -x +1 = 2x² +5x -4
x² -6x +5 = 0 . . . . . . . . . subtract (2x²+5x-4)
(x -5)(x -1) = 0 . . . . . . . factor
x = 1 or x = 5 . . . . . . values of x that make the factors zero
The two trinomials will have the same value for x=1 and for x=5.
__
Additional comment
The attached graph shows the points where the trinomials have the same value.
What is the y and x-intercept of the equation below?
2x+6y=12
Answer:
2 on the y axis and 6 on the x axis
Step-by-step explanation:
Answer:
x intercept : (6,0)
y intercept : (0,2)
Step-by-step explanation:
A line passes through the points (–
3,–
18) and (3,18). Write its equation in slope-intercept form
The equation of the line with given coordinates in slope intercept form is given by y = 6x.
Use the slope-intercept form of the equation of a line,
y = mx + b,
where m is the slope of the line
And b is the y-intercept.
The slope of the line is equals to,
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line.
Using the coordinates (-3, -18) and (3, 18), we get,
⇒m = (18 - (-18)) / (3 - (-3))
⇒m = 36 / 6
⇒m = 6
So the slope of the line is 6.
Now we can use the slope-intercept form of the equation of a line .
Substitute in the slope and one of the points, say (-3, -18) to get the y-intercept,
y = mx + b
⇒ -18 = 6(-3) + b
⇒ -18 = -18 + b
⇒ b = 0
So the y-intercept is 0.
Putting it all together, the equation of the line in slope-intercept form is,
y = 6x + 0
⇒ y = 6x
Therefore, the slope intercept form of the line is equal to y = 6x.
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Prove that the given argument is valid. First find the form of the argument by defining predicates and expressing the hypotheses and the conclusion using the predicates. Then use the rules of inference to prove that the form is valid.(a)The domain of discourse is the set ofmusicians in an orchestra.Everyone practices hard or plays badly (or both).Someone does not practice hard.∴ Someone plays badly.
We have proven that the argument is valid, as we have successfully derived the conclusion (∃x Q(x)).
To prove the given argument is valid, we will first define predicates and express the hypotheses and conclusion using those predicates. Then we will use the rules of inference to demonstrate the validity of the argument.
Let's define the predicates:
P(x): x practices hard
Q(x): x plays badly
The hypotheses can be expressed as:
∀x (P(x) ∨ Q(x)) - Everyone practices hard or plays badly (or both)
¬∃x P(x) - Someone does not practice hard
The conclusion can be expressed as:
∃x Q(x) - Someone plays badly
Now, let's proceed with the proof using the rules of inference:
¬∃x P(x) - Premise
∀x (P(x) ∨ Q(x)) - Premise
¬P(a) - Negation of existential elimination (from premise 1)
P(a) ∨ Q(a) - Universal elimination (from premise 2)
Q(a) - Disjunctive syllogism (from 3 and 4)
∃x Q(x) - Existential introduction (from 5)
Therefore, we have proven that the argument is valid, as we have successfully derived the conclusion (∃x Q(x)) using the given premises.
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Abox of chocolate candy contains 4 butter-cream-filled, 3 raspberry-
filled, 2 peanut butter-filled, 5 caramel-filled, and 6 nut-filled chocolates.
If Monica randomly selects a piece of candy, what is the probability that
she will pick a butter-cream-filled chocolate ?
A 0.10
B. 0.15
C. 0.20
D. 0.25
Answer:
0.20? sorry if im wrong
Step-by-step explanation: 4+3+2+5
On a team 5 girls and 2 boys scored a total of 41 points. The difference between the number of points scored by the 5 girls and the number of points scored by the
2 boys is 29. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each
boy
Each girl scored points
Step-by-step explanation:
Let x be the number of points the 5 girls scored.
=> 41 - x is the number of points the 2 boys scored.
We have x + 29 = 41 - x or x - 29 = 41 - x.
=> 2x = 12 or 2x = 70
=> x = 6 or x = 35
We reject x = 6 as 6 is not a multiple of 5. (Each girl would have scored 1.2 points which is absurb)
So x = 35, each girl scored 35/5 = 7 points.
=> 41 - (35) = 6, each boy scored 6/2 = 3 points.
The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?
A.
2 units
B.
7 units
C.
9 units
D.
12 units
a bottle of ketchup contains 40 oz of ketchup. How many 1/2 oz servings can you get out of one bottle?
Answer:
you can get 80 1/2 oz servings.
Step-by-step explanation:
What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
each side of an equilateral triangle is inches long. an altitude of this triangle is used as a side of a square. what is the number of square inches of the area of the square?
The area of square in square inches equals (9/16) times the square of the length of each side of the equilateral triangle, or (9/16) * s².
Let's denote the length of each side of the equilateral triangle as "s". We know that the altitude of an equilateral triangle divides it into two congruent 30-60-90 triangles. Therefore, the altitude of the equilateral triangle has a length of s * √(3) / 2.
Since the altitude of the triangle is used as a side of a square, the area of the square is:
A = (s * √(3) / 2)²
Simplifying, we get:
A = s² * (3/4)
Therefore, the area of the square is (3/4) times the square of the altitude of the equilateral triangle.
Substituting s * √(3) / 2 for the altitude, we get:
A = (3/4) * (s * √(3) / 2)²
A = (3/4) * (s² * 3/4)
A = (9/16) * s²
So, the area of the square is (9/16) times the square of the length of each side of the equilateral triangle.
Therefore, the number of square inches of the area of the square is (9/16) times the square of the length of each side of the equilateral triangle, or (9/16) * s².
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if f(x)=3x+2 what is f(5)?
Answer:
17
Step-by-step explanation:
f(x)=3x+2
Let x = 5
f(5)=3*5+2
Multiply first
f(5) = 15+2
Then add
= 17
Triangle BCD was dilated using the rule D Subscript Q, one-half.
What are the values of the unknown measures?
m∠C'B'D' =
°
CQ =
B'D' =
The values of the missing angles and sides after dilation are:
m∠C'B'D' = 95°, CQ = 6 and B'D' = 11.
What are the values of the angles after transformation?m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'
m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC (dilation)
m∠C'B'D = 180° - 34° - 51° = 95°
Thus, by way of scale factor we can say that:
BC/B'C' = BD/B'D' = 36/18 = 2
B'D' = ¹/₂BD = ¹/₂ * 22 = 11
ΔC'P'Q ∼ ΔCPQ
Thus:
C'Q'/CQ = C'D'/CD = D'Q'/DQ
CQ = 2C'Q' = 2 * 3 = 6
Therefore, m∠C'B'D' = 95°, CQ = 6 and B'D' = 11.
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