The letter "r" is commonly used in experimental design symbols/terminology to represent "random assignment of research subjects (e.g., people) to groups (experimental and control)".
Random assignment is a critical component of experimental design as it helps to control for extraneous variables that may affect the outcome of the study. By randomly assigning participants to different groups, researchers can ensure that any differences in the outcome variables between groups are due to the independent variable being manipulated and not to other factors.
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we want to estimate a population mean using a 99% confidence interval and a random sample of 35 individuals. what is the critical t-score?
The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.
How to estimate a population mean using a 99% confidence interval?To estimate a population mean using a 99% confidence interval and a random sample of 35 individuals, you need to find the critical t-score.
Step 1: Determine the degrees of freedom. For a sample of 35 individuals, the degrees of freedom (df) = sample size - 1 = 35 - 1 = 34.
Step 2: Find the critical t-score using a t-table or an online calculator. For a 99% confidence interval and 34 degrees of freedom, the critical t-score is approximately 2.733.
Your answer: The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.
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Find the volume of this regular solid. 5 yd 4 yd 8 yd
Answer:
160 yd
Step-by-step explanation:
Volume = L * W * H
V= 5 * 4 * 8
V= 160 yd
Find the value of X
Answer:
x = 12
The answer is C. 12.
Step-by-step explanation:
The top side (2x+5) is part of a triangle. We see at the other sides of the triangle some marked lines. This indicates equal length. Now looking at the triangle with the (6x-14) side, we see that all side lengths have been doubled. We can use this relationship to start with a simple equation.
First, we start with this equation:
\(2(2x+5)=6x-14\)
Distribute the 2 on the left side:
\(4x + 10 = 6x-14\\\)
Subtract 4x from both sides:
\(10 = 2x - 14\\\)
Add 14 to both sides:
\(24 = 2x\\\)
Divide by 2:
\(12 = x\\x = 12\)
Therefore, the value of x is 12.
Please this is due tonight!!! Express given logarithm in terms of a, b and c.
\(\textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_5(18)\implies \cfrac{\log(18)}{\log(5)}\implies \cfrac{\log(2\cdot 3\cdot 3)}{\log(5)}\implies \cfrac{\log(2)+\log(3)+\log(3)}{\log(5)}\)
\(\begin{cases} \log(3)=a\\ \log(2)=b\\ \log(5)=c \end{cases}\implies \cfrac{b+a+a}{c}\implies \cfrac{b+2a}{c} \\\\[-0.35em] ~\dotfill\\\\ \log_5^2(18)\implies [\log_5(18)]^2\implies \left( \cfrac{b+2a}{c} \right)^2\implies \cfrac{(b+2a)^2}{c^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{b^2+4ab+4a^2}{c^2}~\hfill\)
Determine the no-arbitrage price today of a 5 year $1,000 US
Treasury note with a coupon rate of 2% and a YTM of 4.25% (APR) (to
the penny)
A. $739.65
B. $900.53
C. $819.76
D. $89
The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.
To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.
Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,
where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.
Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.
Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.
Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.
Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.
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a swallow files at a speed of 50 km/h for 3 hours and then at a speed of 40 km/h for a further 2 hours .find the average speed for the whole journey
Answer:
18 km/h
Step-by-step explanation:
Answer:
18 km/h
and your welcome
A triangle has one angle that measures 70 degrees. If the other two angles are isosceles, what is the measurement of each of those angles? PLEASE HELP I HAVE TO HAND IN , in 10 minutes!
Answer:
I could be very wrong, but I think 55?
Step-by-step explanation:
bc all angles of a triangle add up to 180, 70-180=110 110/2(bc two isosceles angles are left) makes last two 55
I think
5. (10 pts.) Let f(x) = 5x*-+8√x - 3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph of f(x) at x = 1. 6. (15 points) Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals
The answer of a)f'(x) = 10x + 4/√x and b) y - 10 = 14(x - 1).The function is increasing on the interval (-5/3, 1) and decreasing on the intervals (-∞, -5/3) and (1, ∞). The function has a local maximum at x.
(a) To find f'(x), we differentiate each term of the function separately using the power rule and chain rule when necessary. The derivative of \(5x^2\) is 10x, the derivative of 8√x is 4/√x, and the derivative of -3 is 0. Adding these derivatives together, we get:
f'(x) = 10x + 4/√x.
(b) To find the equation of the tangent line to the graph of f(x) at x = 1, we need to determine the slope of the tangent line and a point on the line. The slope is given by f'(1), so substituting x = 1 into the derivative, we have:
f'(1) = 10(1) + 4/√(1) = 10 + 4 = 14.
The point on the tangent line is (1, f(1)). Evaluating f(1) by substituting x = 1 into the original function, we get:
f(1) = 5(1)^2 + 8√(1) - 3 = 5 + 8 - 3 = 10.
Thus, the equation of the tangent line is y - 10 = 14(x - 1), which can be simplified to y = 14x - 4.
(a) To find the intervals where the function f(x) =\(x^3 + 6x^2 - 15x - 10\) is increasing or decreasing, we need to find the critical points by setting f'(x) = 0 and solving for x. Then, we evaluate the sign of f'(x) in each interval.
Differentiating f(x) using the power rule, we get:
f'(x) = \(3x^2 + 12x - 15.\)
Setting f'(x) = 0, we solve the quadratic equation:
\(3x^2 + 12x - 15 = 0.\)
Factoring this equation or using the quadratic formula, we find two solutions: x = -5/3 and x = 1.
Next, we test the intervals (-∞, -5/3), (-5/3, 1), and (1, ∞) by choosing test points and evaluating the sign of f'(x) in each interval. By evaluating f'(x) at x = -2, 0, and 2, we find that f'(x) is negative in the interval (-∞, -5/3), positive in the interval (-5/3, 1), and negative in the interval (1, ∞).
Therefore, the function is increasing on the interval (-5/3, 1) and decreasing on the intervals (-∞, -5/3) and (1, ∞).
To find the local extrema, we evaluate f(x) at the critical points x = -5/3 and x = 1. By substituting these values into the function, we find that f(-5/3) = -74/27 and f(1) = -18.
Hence, the function has a local maximum at x.
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102 – 8 +4.3 = 288 hi please fir me
Answer:
what does your question even mean.
Step-by-step explanation:
HAAAAAAAAAIIIIIIIIIIIIIIIIIIIIIIIII
Id k what your question means but if u tell me I'll help you in the comments.
What is the unit rate of the cost of the bag of apples is $6.33 for 3 pounds.A. The apples are $2 per poundB. The apples are $2.11 per poundC. The apples are $3.33 per poundD. The apples are $6.33 per pound
Given:
The bag of apples is $6.33 for 3 pounds.
Required:
We need to find the unit rate of the cost of the apples.
Explanation:
Divide the cost of the bag of apples by the number of pounds.
\(T\text{he unit rate of the cost of the apples =}\frac{6.33}{3}\)\(T\text{he unit rate of the cost of the apples =\$ 2.11}\)Final answer:
The apples are $2.11 per pound
Which transformations have been performed on the graph of f(x)=x√3 to obtain the graph of g(x)=−2x√3−1?
The transformations which have been performed on the graph of f(x)=x√3 to obtain the graph of g(x)=−2x√3−1 is g(x) = -2f(x) - 1.
We are given that;
The functions f(x)=x√3 and g(x)=−2x√3−1
Now,
To obtain the graph of g(x) from the graph of f(x), the following transformations have been performed:
A reflection over the x-axis, which changes the sign of f(x) to -f(x).
A vertical stretch by a factor of 2, which multiplies f(x) by 2.
A vertical translation down by 1 unit, which subtracts 1 from f(x).
g(x) = -2f(x) - 1.
Therefore, by transformation the answer will be g(x) = -2f(x) - 1.
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for incompressible flow in a horizontal pipe of constant diameter and without fittings or valves show that the pressure is a linear function of pipe length.
For incompressible flow in a horizontal pipe of constant diameter and without fittings or valves, the pressure is a linear function of pipe length.
Linear function:A linear function can be defined as a function that shows a constant rate of change between input values (x) and output values (y). When we plot the graph of a linear function, it shows a straight line. The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Pressure:Pressure is defined as the force exerted per unit area. Pressure is a scalar quantity. It can be measured in units such as pascals, bars, pounds per square inch, etc.
Now let's consider the given statement for incompressible flow in a horizontal pipe of constant diameter and without fittings or valves to prove that pressure is a linear function of pipe length.
In a horizontal pipe of constant diameter, the following assumptions are made:No valves and fittings are presentFluid is incompressibleFriction is negligibleThe fluid flow is steady-state and laminarAt two points P1 and P2 along the horizontal pipe, let us assume that the fluid pressure and velocity are P1, V1 and P2, V2, respectively.
The pressure drop between the two points is given byΔP = P1 - P2The flow rate of the fluid through the pipe is given by the equation,Q = (A1V1) = (A2V2)
where, A is the cross-sectional area of the pipe.
Substituting V1 = Q/A1 and V2 = Q/A2 in ΔP = P1 - P2, we getΔP = P1 - P2 = 32μQL / πd4,
where μ is the viscosity of the fluid, L is the length of the pipe, d is the diameter of the pipe.
The above equation is called the Hagen-Poiseuille equation. It shows that pressure drop (ΔP) is proportional to the length of the pipe (L) when the other parameters such as flow rate (Q), viscosity (μ), and diameter (d) of the pipe are constant.
Thus, it can be concluded that the pressure is a linear function of pipe length.
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I have asked so many questions and no one has helped me out lol
Answer:
That's really sad.
Step-by-step explanation:
I'll go check out your questions :)
Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 4 mm and 3 mm. Find the perimeter of the piece of jewelry.
Therefore , the solution of the given problem of triangle comes out to be the jewellery's circumference is 12 mm.
What precisely is a triangle?If a polygon contains at least one more segment, it is a hexagon. It is a simple rectangle in shape. Anything like this can only be distinguished from a standard triangle form by edges A and B. Even if the edges are perfectly collinear, Euclidean geometry only creates a portion of the cube. A triangle is made up of a quadrilateral and three angles.
Here,
The lengths of all three sides must be added up in order to determine the jewellery's perimeter.
=> c²= a² + b²
where a and b are the lengths of the other two sides, and c is the length of the hypotenuse.
=> A = 3mm, and B = 4mm.
Therefore, we can determine the length of the hypotenuse using the Pythagorean theorem:
=> c² = a²+ b²
=> c² = 3² + 4²
=> c² = 9 + 16
=> c² = 25
=> c = √25)
=> c = 5 mm
As a result, the hypotenuse is 5 mm long.
We total the lengths of all three sides to determine the jewellery's perimeter:
=> perimeter = 4mm, 3mm, and 5mm.
=> 12 mm is the diameter.
Therefore, the jewellery's circumference is 12 mm.
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For what purposes do students collect data? Check all that apply. to check a statement’s credibility to answer a question to support an argument to evaluate a statement to examine a question’s reliability
Answer: a: to check a statement’s credibility
b: to answer a question
c: to support an argument
d: to evaluate a statement
Step-by-step explanation:
Edg2020
Answer:
A B C D
Step-by-step explanation:
jason has a block of clay with a volume of 450 in.3 he reshapes the clay into a cylinder with a height of 10 in. what is the approximate length of the cylinder's radius?
To find the approximate length of the cylinder's radius, we can use the formula for the volume of a cylinder, which is given by V = πr²h. By rearranging the formula and substituting the known values, we can solve for the radius of the cylinder.
The volume of the clay block is given as 450 in³, and the height of the cylinder is 10 in. We can set up the equation V = πr²h and substitute the known values: 450 = πr²(10). By rearranging the equation, we have r² = 45/π.
To find the approximate length of the radius, we can take the square root of both sides: r ≈ √(45/π). Evaluating this expression using a calculator, we can determine the approximate length of the cylinder's radius.
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4 more than one third of a number n is 6
Given :
A condition :
4 more than one third of a number n is 6.
To Find :
The number n.
Solution :
The given expression in mathematics is given by :
\(\dfrac{n}{3}+4=6\\\\\dfrac{n}{3}=2\\\\n=3\times 2\\\\n=6\)
Therefore, the number n is 6.
Hence, this is the required solution.
how to find the perimeter of a triangle with vertices
Answer:
P = A + B + C
Step-by-step explanation:
Essentially, just add the length of each side. The sum is the perimeter.
Hit brainliest if this was helpful :)
add each side
hope ithelps you
Help ,I don't understand
A game involves rolling a number cube. You get one point if you roll an even number and negative one point if you roll an odd number.
A 7-column table has 3 labeled rows. The first row is labeled Roll with entries 1, 2, 3, 4, 5, 6. The second row is labeled Probability with entries one-sixth, one-sixth, one-sixth, one-sixth, one-sixth, one-sixth. The third row is labeled Point(s) with entries negative 1, 1, negative 1, 1, negative 1, 1.
Which statements are true regarding this scenario? Check all that apply.
The sample space is {1, 2, 3, 4, 5, 6}.
The expected value for the game is 0.
The expected value for the game is One-half.
The game is fair because the expected value is equal to 0.
The game is unfair because the expected value does not equal 0.
Answer:
A. B. D.
Step-by-step explanation:
There are 6 possible values to roll. Since 3 values are even and 3 values are odd, the game should be 0.
Answer:
A, B, D
Step-by-step explanation:
EDG 2021
Brainliest?
The endpoints of segment TU are T(-8, 4) and U(6, -1). Calculate the coordinates of the midpoint, M. *
Answer:
The point M(Mx, My) is mid-point of TU with T(Tx, Ty) and U(Ux, Uy).
=> 2*Mx = Tx + Ux => 2*Mx = -8 + 6 => Mx = -1
=> 2*My = Ty + Uy => 2*My = 4 + (-1) => My = 3/2
=> M(-1, 3/2)
Hope this helps!
:)
Answer:
( -1, 3/2)
You insert your variables into the midpoint formula in order for you to get the right answer
what is the smallest positive integer $n$ such that $\frac{1}{n}$ is a terminating decimal and $n$ contains the digit $9$?
The smallest positive integer n, such that 1 / 9 is a terminating decimal and n contains 9 is 4, 096.
How to find the smallest positive integer ?Finite digits terminating after the decimal point represent what are known as "terminating decimals". This type of decimal is characterized by their limited representation which comes to an end after a specific number of digits.
The smallest positive integer to satisfy the conditions, of the terminating decimals would be in the form 2 ^ r 5 ^ s.
We can then solve for the smallest positive integer n, to be:
= 2 ¹² x 5 ⁰
= 4 ,096
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Aside from the Gini index and Entropy, explain two other parameters to measure purity (best split) in a decision tree.
In addition to the Gini index and Entropy, there are other parameters that can be used to measure purity or determine the best split in a decision tree. Two commonly used parameters are: Classification Error , Gini Gain.
Classification Error (Misclassification Error):
The classification error, also known as the misclassification error, measures the fraction of misclassified instances in a node. It calculates the probability of misclassification by assigning the majority class label to all instances in the node. The classification error is given by the formula:
Classification Error = 1 - (max(p1, p2, ..., pk))
where p1, p2, ..., pk are the proportions of each class in the node.
A lower classification error indicates a purer node, where the majority of instances belong to a single class.
Gini Gain:
Gini gain is a measure of the reduction in the Gini index achieved by splitting a node based on a particular feature. It quantifies how much the impurity or randomness decreases after the split. Gini gain is calculated by subtracting the weighted average of the Gini indices of the resulting child nodes from the Gini index of the parent node. The feature with the highest Gini gain is chosen as the best split.
Gini Gain = Gini Index(parent) - (Weighted Average of Gini Indices of Child Nodes)
A higher Gini gain indicates a better split that maximizes the reduction in impurity.
These parameters, like the Gini index and Entropy, help in determining the purity of nodes and finding the optimal splits in a decision tree algorithm. By evaluating multiple parameters, the decision tree can make informed choices about the features and splits that lead to the most homogeneous and informative subsets of data.
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SICCA DI DO rower for and question
1. Which of these factors makes it challenging to make a fair comparison between a current NBA star and an NBA star from the 1990s?
O A. There has been a fall in three-point shots, and players tend to score fewer points now.
B. There has been a rise in three-point shots, and players tend to score more points now.
OC. Players are more likely to make free throws now, and free-throw percentages have increased.
D. Players are less likely to make free throws now, and free-throw percentages have decreased.
The correct option for this question is B. There has been a rise in three-point shots, and players tend to score more points now.
Why it is?
The factor that makes it challenging to make a fair comparison between a current NBA star and an NBA star from the 1990s is:
B. There has been a rise in three-point shots, and players tend to score more points now.
The increase in three-point shots has significantly changed the way the game is played and the strategies used by teams, which makes it difficult to compare the performance of players from different eras.
Players in the current NBA tend to score more points because of the increased emphasis on the three-point shot, while players from the 1990s may have had different strengths and styles of play that were more effective in that era. Therefore, it is challenging to make a fair comparison between players from different eras based solely on their statistics.
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Select the number that would make this statement true: 628 divided by 0.628
10¹
10²
10³
10⁴
6/6 = 8/8 because they both equal 1. Oleg adds one part to each. Will the results be equal?
Use the drop-down menus to complete an explanation.
Rewrite the fractions as decimals:
7/6 = 1.167
9/8 = 1.125
7/6 is greater then 9/8
the parts in 7/6 are greater than the parts in 9/8
so 7/6 is farther from 1 than 9/8 is
Luke has blue and red ballsEvery day he wins 2 blue balls and loses 3 red onesAfter 5 days he has the same amount of blue and red ballsAfter 9 days, he has twice as many red balls as blue ballsHow many red balls did he have at the beginning?
The number of red balls Luke has at the start is 47.
blue ball per day = 2
red ball per day = -3 ('-' ve sign as he is loosing them)
let the number of red balls be represented by r
let the number of blue balls be represented by b
after 5 days
b+ 10 = r -15 -(i)
After 9 days
b + 18 =2(r-27)-(ii)
subtracting (i) from (ii)
b + 18 - b - 10 = 2r - r - 54 +15
8 = r - 39
r = 39 + 8
r = 47
The number of red balls Luke has at the start is 47
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Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
three eighths plus seven sixteenths equals blank
Question 2 options:
thirteen sixteenths
ten twenty fourths
ten sixteenths
four sixteenths
Answer:
thirteen sixteenths
A direct relationship between two variables is reflected in a(n) _____ correlation coefficient.
A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.
Correlation is a statistical technique for measuring and describing the relationship between two variables.
The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.
Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.
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what is the probability that a randomly selected customer had at least one order in the previous month or uses express shipping?
The probability that a randomly selected customer had at least one order in the previous month or uses express shipping is 0.9242.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or outcomes. It is used to measure the likelihood or chance of an event occurring, ranging from impossible (0 probability) to certain (1 probability).
The basic concept of probability involves determining the ratio of the number of favorable outcomes to the total number of possible outcomes. This ratio is expressed as a fraction, decimal, or percentage.
For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2 or 0.5 or 50%, and the probability of getting tails is also 1/2 or 0.5 or 50%.
P( at least one order in the previous month or uses express shipping)
=P(at least one order in the previous month) + P(uses express shipping) - P(at least one order in the previous month and uses express shipping)
\(\frac{107+63}{211} +\frac{131}{211} -\frac{65+41}{211}\)
= 0.9242
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