When the population is believed to be normally distributed but the standard deviation is unknown, the appropriate distribution for the sample is the Student's t-distribution.
If you believe that the population is normally distributed but you do not know the standard deviation, it suggests that you are working with a situation where you have a random sample from the population.
In this case, the appropriate distribution for the sample is the Student's t-distribution.
The t-distribution is commonly used when the population standard deviation is unknown and needs to be estimated from the sample.
It is similar to the normal distribution but has slightly heavier tails, which accounts for the uncertainty introduced by estimating the population standard deviation.
With the given information, the sample you have can be analyzed using the t-distribution.
This means that you can compute statistics such as the sample mean and confidence intervals using the t-distribution instead of the normal distribution.
The t-distribution is characterized by its degrees of freedom (df), which depend on the sample size.
In this case, since the sample size is not specified, we cannot determine the exact degrees of freedom.
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Please help!! 50 points
Answer:
4,left,4,down
Step-by-step explanation:
Answer:
4 units to the left and 4 units down
Step-by-step explanation:
(1,5)-4 units to the left is x value of -3
and (-3,5) 4 units down is y value of 1
Given that ABCD is a rhombus, what is the value of x?
A. 29
B. 13
C. 51.5
D. 34
E. 45
F. Cannot be determined
Given that ABCD is a rhombus, the value of x is 29. Option A
Describe the rhombus.A rhombus is a parallelogram having four equal sides and, occasionally, one without any right angles.
A rhombus's diagonals are perpendicular to each other.
How to find the value of xsum the equation to 180
x + 3x -26 + 90 = 180
4x = 180 - 90 + 26
4x = 116
We have to divide through the equation by 4 in order to get the value of x
4x / 4 = 116 / 4
x = 29
Hence the value of x in the given rhombus is 29
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Answer:29 is the answer
Step-by-step explanation:
What another number is divider to pi 3.14
The another number is divider to pi 22/7
The another number is divider to pi 22/7
25 Points please help me
ASAP and I will mark brainlyist
Answer:
(a)
1. 4.6... sample mean2. 4.6.. sample mean3. 4.8... sample mean4. 5.2... sample mean(b) range of sample means =0.6
(c)
FalseFalseFalseFalseIf a matrix is diagonalizable then it is invertible.
a. True
b. False
If a matrix is diagonalizable then it is invertible is False.
A matrix can be diagonalizable but not invertible. For example, the zero matrix (a matrix where all entries are 0) is diagonalizable but not invertible.
What is diagonalizable metrix?
A diagonalizable matrix is a square matrix that can be transformed into a diagonal matrix through a similarity transformation. In other words, a matrix A is diagonalizable if there exists an invertible matrix P and a diagonal matrix D such that A = PDP⁻¹.
Geometrically, diagonalizable matrices represent linear transformations that stretch or shrink the space along a set of independent directions, which are called eigenvectors. The diagonal entries of the diagonal matrix D correspond to the eigenvalues of A, which represent the scaling factors along these directions.
Not all matrices are diagonalizable. A matrix is diagonalizable if and only if it has a sufficient number of linearly independent eigenvectors. In particular, symmetric matrices are always diagonalizable, and non-diagonalizable matrices are often associated with non-invertible linear transformations or defective geometric structures.
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Complete question is: If a matrix is diagonalizable then it is invertible is False.
Two cyclists start at the same time from opposite ends of a course that is 45 miles long. One cyclist is riding at 14 mph and the second cyclist is riding at 16 mph. How long after they begin will they meet
If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.
Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.
We know that speed is the distance covered by an object in a particular period of time.
Speed=distance/time.
It is expressed as kilometers per hour or miles per hour, etc.
If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.
Distance=45 miles.
Time =distance/speed
=45/30
=1.5
Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.
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Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25. Find one possibility for the number of nickels and number of dimes that could be in Priya's pocket. Write an equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. Explain what the point (13,6) means in this situation. Is the point (13,6) a solution to the equation you wrote? Explain your reasoning.
Answer:5x + 10y = 125
Step-by-step explanation
Number of nickel = x
Number of dime = y
Nickel = 5 cent
Dime = 10 cent
Total value = $1.25
Total value should be converted to cent since both dime and nickel are both in cent
= $1.25 * 100 = 125 cents
Therefore,
5x + 10y = 125 cents
A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 co If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)
The coordinates of the image of polygon A'B'C'D' after a translation of 4 units down and 5 units right would be A' (-1, 1), B' (-1, -2), C' (3, -2), D' (3, 2).
What is a translation?In Geometry, the translation of a geometric figure to the right simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image and translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of polygon ABCD vertically down 4 units and horizontally right 5 units, the coordinates of the image of polygon A'B'C'D' include the following:
(x, y) → (x + 5, y - 4)
Coordinate A = (-6, 5) → Coordinate A' (-6 + 5, 5 - 4) = (-1, 1)
Coordinate B = (-6, 2) → Coordinate B' = (-6 + 5, 2 - 4) = (-1, -2)
Coordinate C = (-2, 2) → Coordinate C' = (-2 + 5, 2 - 4) = (3, -2)
Coordinate D = (-2, 6) → Coordinate D' = (-2 + 5, 6 - 4) = (3, 2)
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Eliza and Sahana have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours.
How many hours do they have to work before they go to the movies?
The number of hours which Eliza and Sahana would have to work before they go to the movies is equal to 10 hours.
How to determine the number of hours they must work?In order to determine the number of hours Eliza and Sahana must work before they go to the movies, we would have to formulate (write) a linear function that represents their total earnings with respect to the number of hours worked.
Additionally, let the variable h represent the number of hours and let the variable m represent the total earnings.
A linear function for Eliza's earnings is given by;
m = 7h + 14 .....equation 1.
By using the point-slope formula, we would find the linear function for Sahana's earnings as follows;
m - m₁ = s(h - h₁)
Where:
s represents the slope.h and m are the points.Substituting the given points into the formula, we have the following;
m - 8.40 = ((16.80 - 8.40)/(2 - 1))[h - 1]
m = 8.40h - 8.40 + 8.40
m = 8.40h .....equation 2.
Next, we would equate equation 1 and equation 2 as follows;
7h + 14 = 8.4h
8.4h - 7h = 14
1.4h = 14
h = 14/1.4
Number of hours, h = 10 hours.
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Answer:
10
Step-by-step explanation:
I hope i get brainliest, mine is short and to the point (lol)
Consider the following time series y(t): 10, 20, 30, 40, 50 for time periods 1 through 5. Using a moving average of order p = 3, a forecast for time period 6 is
Using a moving average of order p = 3, a forecast for time period 6 is 46.
The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.
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linear algebra put a into the form psp^-1 where s is a scaled rotation matrix
We can write A as A = PSP^-1, where S is a scaled rotation matrix and P is an orthogonal matrix.
To put a matrix A into the form PSP^-1, where S is a scaled rotation matrix, we can use the Spectral Theorem which states that a real symmetric matrix can be diagonalized by an orthogonal matrix P, i.e., A = PDP^T where D is a diagonal matrix.
Then, we can factorize D into a product of a scaling matrix S and a rotation matrix R, i.e., D = SR, where S is a diagonal matrix with positive diagonal entries, and R is an orthogonal matrix representing a rotation.
Therefore, we can write A as A = PDP^T = PSRP^T.
Taking S = P^TDP, we can write A as A = P(SR)P^-1 = PSP^-1, where S is a scaled rotation matrix and P is an orthogonal matrix.
The steps involved in finding the scaled rotation matrix S and the orthogonal matrix P are:
Find the eigenvalues λ_1, λ_2, ..., λ_n and corresponding eigenvectors x_1, x_2, ..., x_n of A.
Construct the matrix P whose columns are the eigenvectors x_1, x_2, ..., x_n.
Construct the diagonal matrix D whose diagonal entries are the eigenvalues λ_1, λ_2, ..., λ_n.
Compute S = P^TDP.
Compute the scaled rotation matrix S by dividing each diagonal entry of S by its absolute value, i.e., S = diag(|S_1,1|, |S_2,2|, ..., |S_n,n|).
Finally, compute the matrix P^-1, which is equal to P^T since P is orthogonal.
Then, we can write A as A = PSP^-1, where S is a scaled rotation matrix and P is an orthogonal matrix.
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Probability of first marriage among women. A National Center for Health Statistics (NCHS) brief report by the Centers for Disease Control and Prevention (CDC) in 2009 identified that about 6% of women in the United States mar- ried for the first time by their 18th birthday 50% married by their 25th birthday, and 74% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by each of the following ages? la) 18 years of age b) 25 years of age c) 30 years of age
The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.
According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined
The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:
Probability of one daughter getting married by 18 years:
As per the brief report, 6% of women in the United States married before the age of 18.
Therefore, the probability of one daughter getting married before the age of 18 is 0.06
Probability of one daughter getting married by 25 years:
As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.
Probability of one daughter getting married by 30 years:
As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.
The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.
The probability that both daughters will get married before the age of 18 is:
P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036
The probability that both daughters will get married by the age of 25 is:
P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25
The probability that both daughters will get married by the age of 30 is:
P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476
The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.
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To compare the effectiveness of two treatments, researchers conducted a well-designed experiment using a randomized block design in which the subjects were blocked by age-group (under 40 40 years and 40 40 years or older). What must be true about the randomized block design of the experiment?
In the context of your experiment comparing the effectiveness of two treatments using a randomized block design, the following must be true:
1. The subjects are divided into two blocks based on their age: under 40 years and 40 years or older.
2. Randomization is used within each block to assign subjects to one of the two treatments. This ensures that each treatment group within a block has a random mix of subjects, reducing potential biases.
3. The purpose of blocking by age is to control for any confounding variables or potential effects that age might have on the treatment outcomes. By blocking, researchers can more accurately measure the differences between the two treatments.
4. The experiment is well-designed, which means it should minimize potential sources of error, include sufficient sample size, and ensure proper randomization and data collection.
5. To analyze the results, researchers will compare the treatment outcomes within each age block and then combine the results to get an overall measure of the effectiveness of the two treatments.
By using a randomized block design in this experiment, researchers can control for age-related factors and obtain a more accurate comparison of the treatment effectiveness.
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please answer
4. Suppose that for 3MA Forecast, my Mean Absolute Deviation (MAD) is \( 3.0 \) and my Average Error (AE) is \( -2.0 \). Does my forecast fail the bias test? a. Yes b. No
The answer is: a. Yes, the forecast fails the bias test.
To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.
If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.
In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.
Therefore, the answer is:
a. Yes, the forecast fails the bias test.
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Started at –20° and changed 0° whats is the slope
Answer:
See below
Step-by-step explanation:
Start out -20 and change 0° ?
then there is zero slope as this would be a horizontal line.
PLS HELP?!??!
Jane needs to fix a piece of broken siding on the side of her house. The top of the
ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.
Answer:
ladder length = 10 feet
Step-by-step explanation:
using the Pythagorean theorem:
8² + 6² = length²
64 + 36 = length²
length² = 100
length = 10 feet
iready ashley collects data on the number of students ride the bus before getting to school. what is the lower and uper quartile
The lower quartile is 13 (in minutes ) and the upper quartile is 27(in minutes) for the data collected by Ashley on number of minutes students ride the bus before getting to school.
Ashley has collected data on the number of minutes students ride the bus before getting to school as,
10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32
There are three types of quartile in data set as, first (or lower) quartile, second quartile (or median), and third (or upper) quartile.
The formula to calculate quartiles for ungrouped data are as follow,
Lower (or first) quartile = {(n +1)4} th term
where, n is the total number of observations in the data set, that is n = 11
Therefore, Lower (or first) quartile = {(11 +1)4} th term
= (3)rd term = 13
Therefore, Upper (or third ) quartile = {3(n +1)/4} th term
= { 3(11+ 1)/4} th term
= 9th term = 27
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The given question is incomplete, the complete question is
"Already Ashley collects data on the number of minutes students ride the bus before getting to school.
10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32
What is the lower and upper quartile."
how would I work out 4(m+7)=47 In equations?
Answer:
m = \(\frac{19}{4}\)
Step-by-step explanation:
Given
4(m + 7) = 47 ← distribute parenthesis on left side
4m + 28 = 47 ( subtract 28 from both sides )
4m = 19 ( divide both sides by 4 )
m = \(\frac{19}{4}\) [ or m = 4.75 ]
PLEASE HELP! IM STRUGGLING WITH GRADES!
Answer:
it's closest to 5 i think
Step-by-step explanation:
indicies term
five.
just deleted a paragraph i was writing on why bc he already answered and you got it right therefore i dont need help anymore
thx for points tho
In a school of 480
480
students, 60%
60%
ride the bus to school. How many students ride the bus?
CLEAR CHECK
Solve the problem for the unknown quantity. Then fill in the blanks to show the values of the part, the whole, and the percent in this problem.
Part: students
Whole: students
Percent: %
Answer:
288
Step-by-step explanation:
here's a formula:
n(p÷100)= a
n= number
p= percentage
a= answer
so in this case it's 480(60÷100) which is 288
and if you have a calculator just do 480×60%
The values of the part, the whole, and the percent in this problem 288 out of 480 students, or 60% of the students, ride the bus to school.
Total number of students = 480
Percentage of students who ride the bus = 60%
To find out how many students ride the bus.
Let's solve the problem step by step:
Calculate the part (number of students who ride the bus):
Part = Percentage × Whole
Part = 60% of 480
To find 60% of 480, we multiply 480 by 0.60 (since percentage is a fraction out of 100):
Part = 0.60 × 480 = 288
So, 288 students ride the bus.
Now, let's fill in the blanks with the values:
Part: 288 students
Whole: 480 students
Percent: 60%
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Carlos buys the items listed below at Stop and Shop:
• 2 boxes of Oreos for$ 2.99 a box
• 1/2 lb. of bananas at $0.79 per lb.
There is no sales tax. Carlos pays for the items and receives $ 0.62 in change. What amount of money did Carlos use to pay for the items? Write an algebraic equation, solve, check and conclude.
Answer: $6.995
Step-by-step explanation:
Based on the information provided in the question, the amount of money that Carlos use to pay for the items will be:
= (2 × $2.99) + (1/2 × $0.79) + $0.62
= $5.98 + $0.395 + $0.62
= $6.995
Based on the calculation above, Carlos paid for the items with $6.995
help me or dont lol but please help me
identify an equation in point-slope for the line parellel to y= 1/2 x-7 that passes through (-3 , -2)
Answer:
y+2=1/2(x+3)
Why?
Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)
9) A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?
Answer:
If the rope is 20 ft long, then the maximum area the cow can graze is:
\(\pi \\\)r^2 square feet.
\(\pi\) is approximately 3.14, so that means we have: 3.14(20^2) = 1256 ft squared.
Thus, the maximum area that the cow can graze is 1256 ft squared.
Let me know if this helps!
The cow's maximum grazing area is 1256 ft squared. The grazing area is found as the area of the circle.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
If the rope is 20 feet long, the cow can graze the following area:
A=πr²
A=3.14(20)²
A=1256 ft squared.
As a result, the cow's maximum grazing area is 1256 ft squared.
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You borrowed $95 for 1 year at 5. 2% interest that is compounded semi annually. What will you pay back in full
You will pay back $100.00
We know that the formula for the compound ineterst:
\(A = P(1 +\frac{r}{n})^{nt}\)
where, A = Accrued amount
P = Principal amount
r = interest rate as a decimal
R = interest rate as a percent
r = R/100
n = number of compounding periods
t = time in years
First, convert R as a percent to r as a decimal
r = 5.2/100
r = 0.052 rate per year,
Now we solve the equation for A
\(A = P(1 +\frac{r}{n})^{nt}\)
\(A = 95\times (1 +\frac{0.052}{2})^{2\times 1}\)
A = 95.00 × (1 + 0.026)²
A = 100.004
A ≈ 100
Therefore, the total amount accrued with compound interest on a principal of $95.00 at a rate of 5.2% per year compounded semi annually is $100.00.
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Which one is right?
Answer:
a
Step-by-step explanation:
Can u guys help me with this question!! :)
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
30 POINTS!!! Hello!! Marie here! Im giving BRAINLIEST and THANKS and FIVE STARS to the person who answers this question and explains it!
How much miles is race track if the racers did 500 miles in 200 laps?
How much miles is race track if the racers did 500miles in 200 laps??
Answer (✷‿✷)
2.5 miles (4km) is race track if the racers did 500 miles in 200 laps....
The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?
The question is incomplete. the complete question is as follows:
The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at the left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?
A. It is linear because the length increases by the same factor every 10 minutes.
B. It is linear because the length increases by the same number of micrometers every 10 minutes.
C. It is exponential because the length increases by the same factor every 10 minutes.
D. It is exponential because the length increases by the same number of micrometers every 10 minutes.
Answer:
C. It is exponential because the length increases by the same factor every 10 minutes.
Step-by-step explanation:
According to the data shown, the relationship between time and length of this cell is exponential.
The relationship is exponential because the length increases by the same factor every 10 minutes.
The growth of the cell is exponential it means the optimal conditions are provided to the cell for their growth.
Hence, the correct answer is "C. It is exponential because the length increases by the same factor every 10 minutes."
Identify if the triangle is scalene, isosceles or equilateral.
Answer:
Scalene – none of the sides of the triangle have equal lengths
Isosceles – two sides of the triangle have the same length
Equilateral – all sides of the triangle have the same length
1. Equilateral
2. Scalene
3. Isosceles
4. Isosceles
5. Isosceles
6. Isosceles
7. Isosceles
8. Equilateral
Hope this helps! :)