As the number of replicates in a simulation increases the width of a confidence interval computed from the simulation results will decrease.
As the number of replicates in a simulation increases the width of a confidence interval computed from the simulation results will decrease. The width of the confidence interval depends on the sample size, the variability in the data (measured by the standard deviation), and the level of confidence required.
When more replicates are taken, the sample size is larger, and the variability in the data is reduced, which results in a narrower confidence interval.
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(-5f+8)4 use disributive property
Answer:
-20f+32
Step-by-step explanation:
-5×4=-20 put the x back
4×8=32
Answer:
\(\boxed{-20f + 32}\) or \(\boxed{32 -20f}\)
Step-by-step explanation:
\((-5f + 8)4\)
\(= (-5f)\times(4) + (8)\times(4)\)
\(= -20f + 32\)
1. The table contains the weights (in pounds) and heights (in inches) of 9 randomly selected adults. Estimate or compute the correlation coefficient.
Weight (b) Height (in) 1
50 ; 72
135 ; 68
145 ; 68
145 ; 65
125 ; 60
130 ; 62
128 ; 70
70 ; 65
130 ; 75
a. -0.73 b. -0.54 c. 0.54 d. 0.73
The correlation coefficient between weight and height for these 9 individuals is approximately -0.73. So the answer is (a) -0.73.
The correlation coefficient between weight and height can be estimated by using a statistical software or a calculator. Using a calculator, the correlation coefficient is calculated as follows:
- Enter the weight and height data into two separate lists (e.g. L1 and L2).
- Press the STAT button, then select CALC, and then select option 4: LinReg(ax+b).
- Enter L1 and L2 as the Xlist and Ylist, respectively.
- Make sure that the option "Calculate" is set to "r", which stands for the correlation coefficient.
- Press ENTER to calculate the correlation coefficient.
Using this method, the correlation coefficient between weight and height for these 9 individuals is approximately -0.73. Therefore, the answer is (a) -0.73.
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1. a certain college wants to estimate the amount of time students, who live off campus, spend commuting to classes each week. a random sample of 45 off-campus students is surveyed. a) identify the population and sample for this study. b) what data is being collected? what type of data is this? c) what type of study is this?
The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.
a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.
b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.
c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.
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how many numbers are in pi
Answer:
31 trillion digits
Step-by-step explanation:
in order to fairly set flat rates for auto mechanics, a shop foreman needs to estimate the average time it takes to replace a fuel pump in a car. how large a sample must he select if he wants to be 99% confident that the true average time is within 15 minutes of the sample average? assume the standard deviation of all times is 30 minutes.
The value of n is 25 according to standard deviation in the question.
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
s = 30 minutes
C.I. = 99%
mean = 15 minutes
z value for 99% = 2.58
mean = z*s/√n
15 = 2.58 * 30 / √n
√n = 5.06
n = 25
Hence the value of n is 25 .
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I WILL GIVE BRAINLIEST Identify the coefficients in the following expression.
3x – 5y – z + 13
A. 3, -5, -1
B. 3, -5
C. 3, 5, 13
D. 3, 5, 1, 14
SHOW YOUR WORK PLZSSSSSSS
Step-by-step explanation:
the coefficients are the whole numbers accompanied by the variable. would be: 3, 5, 1, 13
30 pts! Take a look at this square pyramid (image included). What is the surface area?
Answer:
160
Step-by-step explanation:
b^2 + 2 bl
8^2 + 2(8)(6)
64 + 16(6)
64 + 96
= 160
In which quadrants do solutions for the inequality y is less than or equal to two thirds times x minus 4 exist?.
I, III, and IV quadrants.
What do the four graph quadrants represent?
The x and y and y-coordinates are both positive in quadrant I. X and Y coordinates in quadrant II are opposite one other. X and Y coordinates are both positive in quadrant III. In quadrant IV, the x-coordinate and y-coordinate are both positive.
Why are the first and third quadrants used?
Typically, we assume that after a projection is made on the horizontal plane, it spins clockwise. We employ first angle and third angle projection for this purpose. Because only within these two quadrants will we receive both viewpoints following the horizontal plane's clockwise rotation.
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Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.
What do the four graph quadrants represent?
In quadrant I, the x and y coordinates are both positive. In quadrant II, the X and Y coordinates are orthogonal. In quadrant III, both the X and Y coordinates are positive. The x- and y-coordinates are both positive in quadrant IV.
What is the inequality's y-intercept?
Inequality y image result
Any straight-line's equation, known as a linear equation, can be written as y = mx + b,
Where m is the slope of the line and b is the y-intercept.
This line's y-intercept is the value of y at the point where the line intersects the y-axis.
Why are the first and third quadrants used?We usually assume that after a horizontal plane projection, it spins clockwise. For this, we use first and third-angle projections. Because only within these two quadrants will we receive both viewpoints after the horizontal plane rotates clockwise.
Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.
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For the given probability density function, over the given interval, find the mean, the variance, and the standard deviation. f(x)=4,[2.25,2.50] A. μ=2.375;σ2=0.021;σ=0.144 B. μ=2.375; σ^2=0.0052; σ=0.072 C. μ=2.500; σ^2=0.0048; σ=0.069 D. μ=2.500; σ^2=0.0049; σ=0.070
For the probability density function, f(x)=4,[2.25,2.50], the mean μ= 2.375 , the variance σ²= 0.0052 , and the standard deviation σ= 0.0072. The answer is option (B).
To determine the value of the mean, variance and the standard deviation, follow these steps:
Let X be a continuous random variable with probability density function f(x) over an interval [a, b]. The mean of X, \(\mu = \int\limits _a^b x f(x) dx\). The variance of X, \(\sigma^2 = \int\limits _a^b (x - \mu)^2 f(x) dx\). The standard deviation of X, σ = √σ²= √Variance.The mean of f(x), \(\mu= \int\limits_{2.25} ^{2.5} x\cdot 4 dx= 2[x^2]^{2.5}_{2.25}= 2[6.25- 5.0625]= 2.375\). Therefore, the mean is μ = 2.375The variance of f(x), \(\sigma^2= \int\limits_{2.25} ^{2.5}(x- 2.375)^2\cdot 4 dx \\ = 4 \int\limits_{2.25} ^{2.5} x^2 - 4.75x +5.64 \\ = 4[\frac{x^3}{3}- 4.75\frac{x^2}{2}+ 5.64x]^{2.5}_{2.25}\\ = 4[\frac{(2.5)^3-(2.25)^3 }{3} + 4.75 \frac{(2.25)^2-(2.50)^2 }{2} +5.64(2.5 -2.25) ]= 0.0052\). Therefore, the variance is σ² = 0.0052The standard deviation of f(x), σ = √σ²= √0.0052 ≈ 0.072Therefore, the standard deviation is σ = 0.072.Hence, option (B) is the correct choice.
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Identify the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ...
Answer:
the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ... is 6
Question is in image
The radius of the spherical part is 3 inches and the length of the tube is 21 cm.
What is the volume of a cylinder?The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.
Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.
The two equations can be formed as below:-
4554 / 7 = πr²l + (2/3)πr³
396 = πr²( l - 9 ) + (2/3)πr³
Subtract the second equation from the first,
( 4554 / 7 ) - 396 = 9πr²
9πr² = 254.5
r² = 9
r = 3 cm
The length will be calculated as:-
4554 / 7 = πr²l + (2/3)πr³
4554 / 7 = π( 3 )²l + (2/3)π(3)³
l = 21 cm
Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.
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Three softball players discussed their batting averages after a game.
................Probability
Player 1: four sevenths
Player 2: five eighths
Player 3: three sixths
By comparing the probabilities and interpreting the likelihood, which statement is true?
A. Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
C. Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
D. Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
The true statement is B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1), by comparing the probabilities and interpreting the likelihood.
From the given information,
Probability of the batting average of player 1 = 4/7
Probability of the batting average of player 2 = 5/8
Probability of the batting average of player 3 = 3/6 = 1/2
We have to find the likelihood of each player.
LCM (7, 8, 6) = 56
Probability of player 1 = (4 × 8) / (7 × 8) = 32/56
Probability of player 2 = (5 × 7) / (8 × 7) = 35/56
Probability of player 1 = (1 × 28 ) / (2 × 28) = 28/56
Here the likelihood is greatest for player 2, then player 1 and the least likelihood is for player 3.
Hence the correct option is B.
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A man owns 3/4 of the share of a business and sells 1/3 of his shares for birr 10,000. What is the value of the business in birr?
Answer:
birr 40,000
Step-by-step explanation:
Given that :
Shares owns by a man in a business = \($\frac{3}{4}$\)
Fraction of the shares sold by the man = \($\frac{1}{3}$\)
Amount for which the shares were sold = 10,000 birr
Let the value of the business of the ma be = x
Therefore, according to the question,
\($\frac{1}{3} \text{ of } \left(\frac{3}{4}x\right) = 10000$\)
\($\Rightarrow \frac{1}{4}x = 10000$\)
\($\Rightarrow x = 4\times10000$\)
= 40,000
Therefore, the value of the share is birr 40,000
Rewrite 5 X 2/3 using a whole number and a unit fraction
Answer: 3 1/3
Step-by-step explanation:
Im assuming the big ol "X" is a multiply sign.
The answer is three and one third.
Polynomial long division: Problem Type 1
-Your answer should give the quotient and the remainder.-
**Algebra 1**
Answer:
Quotient = 3x-5
Remainder = 3
Step-by-step explanation:
For any long division, I use the DMS principle, divide, multiply, subtract.
(x+6) | 3x² + 13 x - 27
First of all, divide the first part of the equation by x. (which is 3x²)
You get 3x.
Now take your 3x and multiply it by (x+6)
You get 3x²+18x. You need to subtract this from your equation.
(3x² + 13 x - 27) - (3x² + 18x) = -5x - 27
One round of DMS complete
Now,
(x+6) | - 5x - 27
We again divide the first part only by x again. You get -5
We multiply -5 by (x+6)
-5x-30.
Let's subtract it from the equation.
(-5x-27) - (-5x-30) = - 5x - 27 + 5x + 30 = 3
Second round of DMS complete.
We cannot divide 3 further by (x+6) so this is it.
The remainder is 3.
Now we take our answers, which is 3x and - 5 and add them to get 3x-5. This is our quotient.
Someone please help me I’ll give out brainliest please don’t answer if you don’t know
Answer:
$14.77
Step-by-step explanation:
At a museum shop, Alysa bought two books for $28.50 and some cards for $3.25 each. Her total purchase came to $44.75. How many cards did she
buy?
Answer:
5
Step-by-step explanation:
44.75 - 28.50 = 16.25 so 16.25 divided by 3.25 equals 5 and 5 times 3.25 equals 16.25 and 16.25 plus 28.50 equals 44.75 so she bought 5 cards.
Please help I really need help if right you get Branly please help.
[1] 1/2
- It will be 1/2 as large because of the scale factor
[2] 1/4
- 1/2 * 1/2 = 1/4
[3] (1/2)n
- For every scale factor (n), there will be a chance of 1/2
Have a nice day! - I know I answered this elsewhere, I saw it twice haha
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Sam made the shape at the right from colored tiles. What is the area of the shape?
Answer:
Step-by-step explanation:
The table below represents a breakdown of food costs for Robert, a traveling
salesman. How much did he spend in total for food on Friday?
A. $45.94
B. $40.80
C. $42.56
D. $41.23
The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.
What is the addition of the numbers?The sum is also know as addition.
The table below represents a breakdown of food costs for Robert, a traveling salesman.
The amount that he spend in total for food on Friday will be
→ 13.30 + 10.76 + 16.74
→ $ 40.80
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Answer:
44.98
Step-by-step explanation:
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
Find a formula for the nth partial sum of this Telescoping series and use it to determine whether the series converges or diverges. (pn)-² Σ 2 3 2+2+1 n=1n² n
The given series is a telescoping series, and we can find a formula for the nth partial sum by simplifying the terms and canceling out the telescoping terms.
The given series is ∑(n=1 to ∞) (2/n^2 - 2/(n+1)^2 + 1/n). To find the nth partial sum, we simplify the terms by combining like terms and canceling out the telescoping terms:
S_n = (2/1^2 - 2/2^2 + 1/1) + (2/2^2 - 2/3^2 + 1/2) + ... + (2/n^2 - 2/(n+1)^2 + 1/n)
We can observe that most terms in the series cancel each other out, leaving only the first and last terms:
S_n = 2/1^2 + 1/n
Simplifying further, we get:
S_n = 2 + 1/n
As n approaches infinity, the term 1/n approaches zero. Therefore, the nth partial sum S_n approaches 2. Since the nth partial sum converges to a finite value (2), the series converges.
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How to simplify (z3)4 ?
Answer:
12z
Step-by-step explanation:
(3z)4
=> 3z x 4
=> 12z
Therefore, 12z is the answer.
Hoped this helped.
Answer:
4z12
Step-by-step explanation:
I am not completely sure but I think all you have to do is times it together so I think it would be 4x12
In ΔABC, the measure of ∠C=90°, the measure of ∠A=79°, and CA = 91 feet. Find the length of AB to the nearest tenth of a foot.
Answer:
476.9167 but rounded to the nearest tenth would be 476.9
Step-by-step explanation:
\(2(a + 5) - 3(a + 7) \)
how do i simplify it
Answer:
The solutions are given below:
Step-by-step explanation:
x(x-3)+4(x²+2)
= x²-3x+4x²+8
= x²+4x²+8-3x
= 5x²+8-3x
2(a+5)-3(a+7)
= 2a+10-3a-21
= 2a-3a+10-21
= -a-11
xy(x²yz-xy²z+xyz²)
= x³y²z-x²y³z+x²y²z²
-4(a²-2a+8)
= -4a²+8a-32
Hope it helps !...........................................
.
Answer:
............................................ ............
Answer: I am unable to solve this problem.
Emil is cutting a 72-inch-long board and a 54 in long board into shelving. He wants to make as many shelves as he can while using up all the wood. What is the longest possible length of the shelves?
Answer: The longest possible length of the shelves = 18 inches
Step-by-step explanation:
Given: Lengths of two boards are 72-inches and 54 inches.
To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)
72 = 2 x 2 x 2 x 3 x 3
54 = 2 x 3 x 3 x 3
HCF(72,54) = 2 x 3 x 3 = 18
Hence, the longest possible length of the shelves = 18 inches
$ 1,012,481.37
-926,399.76
Answer: $86,081.61
Step-by-step explanation:
Answer: 986,081.61
Step-by-step explanation:
If f(x) = sinx, then the Mean Value Theorem guarantees that somewhere between pi/6 and pi/2, f′(x) is equal to which value?
Group of answer choices:
A) 1/2
B) - pi/3
C) 3/2pi
D) 0
If f(x) = sin(x), then the Mean Value Theorem guarantees that somewhere between pi/6 and pi/2, f′(x) is equal to C) 3/2pi
What is the mean value theorem?According to the mean value theorem, there must be at least one point
(c, f(c)) on the curve where the tangent is parallel to the secant going through the two supplied points for every function f(x) whose graph goes through the given points (a, f(a)), and (b, f(b)).
We know, f'(c) = [f(b) - f(a)]/(b - a).
Therefore, f'(c) = [sin(π/2) - sin(π/6)]/(π/2 - π/6).
f'(c) = [1 - 1/2]/2π.
f'(c) = (1/2)/(2π/6).
f'(c) = = (1/2)×6/2π.
f'(c) = = 3/2π.
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Serena constructed a wire barrier to protect her tomato olava from squirrels .the barrier is 2.5 feet from the tamato plant in every direction.
She used 15.7 ft of wire barrier to protect her tomato plant.
How long is the wire barrier?
If the wire barrier is 2.5ft from the tomato plant in every direction, then it forms a circle of radius r = 2.5ft
Remember that for a circle of radius r, the perimeter or circumference is:
\(C = 2*pi*r\)
where pi = 3.14
Then for this case, where r = 2.5ft, we have:
\(C = 2*3.14*2.5ft = 15.7ft\)
Then she used 15.7 ft of wire barrier to protect her tomato plant.
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