The traditional (parametric) test for a sample mean assumes that the data is normally distributed. If the data is not normally distributed, then this test may not be appropriate. Additionally, the parametric test assumes that the sample size is sufficiently large (usually greater than 30) in order for the Central Limit Theorem to apply.
If the sample size is too small, then this test may not be reliable. Furthermore, if there are outliers or extreme values in the data, then the parametric test may not accurately reflect the true underlying population. In such cases, non-parametric tests may be more appropriate, as they do not rely on assumptions about the distribution of the data. It is important to carefully consider the nature of the data before choosing a statistical test to ensure accurate and reliable results.
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Which fraction is the smallest?
A. 3/4
B. 3/5
C. 3/7
D. 3/9
Answer:
D. 3/9
Step-by-step explanation:
Attached below is a picture with each fraction illustrated.
Peter is packing toys into boxes each box holds 30 toys they are 94 toys and 3 boxes how many toys are there left
Answer:
4
Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.
Answer: 4 toys
Step-by-step explanation:
We will multiply 3 by 30 for how many toys he can currently put into boxes.
3 * 30 = 90
Now we will subtract this from the total number of toys for our answer.
94 - 90 = 4
There are 4 toys left.
If you are camping in a rural setting and look up at the night sky, it can appear as if ________.
Answer:
If you are camping in a rural setting and look up at the night sky, it can appear
If you are camping in a rural setting and look up at the night sky, it can appear as if there are many more stars visible compared to what you would see in a city or suburban area.
We have,
There is less light pollution in rural areas, allowing for a clearer view of the stars.
Here are some reasons why the night sky can appear different when camping in a rural setting:
Less light pollution:
Clearer atmosphere:
Different orientation:
Altitude:
Relaxation and focus:
Thus,
If you are camping in a rural setting and look up at the night sky, it can appear as if there are many more stars visible compared to what you would see in a city or suburban area.
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Todd joins a fitness club. During the first week of training, his biceps Increase by 4 millimeters. The trainer says Todd can expect his biceps to continue to increase each week, but only by about 90% of the increase of the week before.
Todd wants to know how much his biceps will increase In 8 weeks. a. Write a rule for the /cth term In the sequence that represents the amount of muscle increase each week. b. Write the summation notation using
Σ
Σ for the first 8 terms. c. Expand the series and evaluate to find the amount by which Todd's biceps will increase in 8 weeks.
The total amount by which Todd's biceps will increase in 8 weeks is approximately 29.152 millimeters.
a. To find the rule for the nth term in the sequence representing the amount of muscle increase each week, we can use the given information. The first week's increase is 4 millimeters, and each subsequent week's increase is 90% of the previous week's increase. Therefore, we can establish the rule as follows:
\(a_n = 4 * 0.9^{(n-1)}\)
Where aₙ represents the muscle increase in the nth week.
b. The summation notation using Σ (sigma) for the first 8 terms would be:
= Σ(aₙ) from n = 1 to 8
c. To expand the series and evaluate the amount by which Todd's biceps will increase in 8 weeks, we substitute the values of aₙ from n = 1 to 8 into the summation notation:
= Σ(aₙ) from n = 1 to 8
= a₁ + a₂ + a₃ + a₄ + a₅ + a₆ + a₇ + a₈
Expanding the series using the rule from part a, we have:
\(= 4 * 0.9^{(1-1)} + 4 * 0.9^{(2-1)} + 4 * 0.9^{(3-1)} + 4 * 0.9^{(4-1)} + 4 * 0.9^{(5-1)} + 4 * 0.9^{(6-1)} + 4 * 0.9^{(7-1)} + 4 * 0.9^{(8-1)}\)
\(= 4 + 4 * 0.9 + 4 * 0.9^2 + 4 * 0.9^3 + 4 * 0.9^4 + 4 * 0.9^5 + 4 * 0.9^6 + 4 * 0.9^7\)
Evaluating this expression will give us the total amount by which Todd's biceps will increase in 8 weeks.
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PLEASE HELP ASAP! ILL MARK BRAINLEST i feel like i’m missing one
Answer:
The ans is correct. But I think C is also correct.
Step-by-step explanation:
I am confused Help Me.
Answer:
circumference = 18.84
area= 28.26
Step-by-step explanation:
C= 2×3.14×3
A= 3.14×3²
Please help... Math is so hard for me. Can someone please explain?
Answer:
3rd choice
Step-by-step explanation:
the 3rd choice is the same as all of the others just in fraction form .you need to keep fraction form for the statement to still be true
Answer: 1st one
Step-by-step explanation: All you got to think about is think of the fraction if the x value is odd and the y value is odd, when you add them together you will get and odd number. :)
Thank you for taking the time to look at my question
Answer:
I think it's B but im not sure
hope this helps
have a good day :)
Step-by-step explanation:
Answer and Step-by-step explanation:
The functions f(x) is being put into the function of g(x).
\(\frac{2x + 3}{4}\)
\(\frac{1}{2} x + \frac{3}{4}\)
Our answer is Answer choice 2.
#teamtrees #PAW (Plant And Water)
Evaluate x^0+ y^0 for x = 3 and y = 2.
0
1 5 2
Answer:
2
Step-by-step explanation:
x^0+ y^0
Let x = 3 and y = 2
3^0 + 2^0
Raised to the 0 power is 1
1 + 1
2
Answer:
the answer is 1, this is correct
Step-by-step explanation:
What are the conditions for one-sample t-procedures?.
The conditions for conducting one-sample t-procedures are as follows:
1. Random Sample: The data should be obtained from a random sample or a randomized experiment to ensure that it is representative of the population of interest. This condition helps to minimize bias and ensure the validity of statistical inference.
2. Independence: The observations within the sample should be independent of each other. In other words, the values should not be influenced by each other and should be selected or measured independently. Violation of independence can lead to inaccurate results.
3. Normality or Large Sample Size (Central Limit Theorem): The population from which the sample is drawn should follow a normal distribution, or the sample size should be sufficiently large. If the population is known to be normally distributed, there are no specific requirements on the sample size. However, if the population distribution is unknown, the sample size should generally be at least 30 to apply the Central Limit Theorem, which states that the sample mean tends to follow a normal distribution, regardless of the population distribution shape.
4. Outliers: The presence of outliers can have a significant impact on the results of t-procedures. It is important to check for and address any outliers in the data. Outliers can distort the distribution and violate the assumptions of the t-test.
5. Equal Variances (for two-sample t-test): In the case of a two-sample t-test, if comparing two groups, the variances of the two populations should be equal. This assumption is necessary for calculating the correct degrees of freedom and obtaining accurate results. If the variances are not equal, a modified version of the t-test, called the Welch's t-test, can be used instead.
It is important to carefully assess these conditions before conducting one-sample t-procedures to ensure that the results are valid and reliable. Violations of these conditions may require alternative statistical tests or adjustments to the analysis.
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Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Mark this and return
Save and Exit
Next
Sb
Answer:
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Step-by-step explanation:
If a cylinder has a height of 19 cm and a diameter of 60 cms calculate how much liquid this cylinder can hold
Answer:
53721.23
Step-by-step explanation:
V=πr^2h
v = 3.14(30)^2(19)
v = 53721.23
Answer:
a cylinder can hold a liquid of 53,721 cm³
Step-by-step explanation:
volume of a cylinder = π r² h
vol = π * (60/2)² * 19
vol = 53,721 cm³
simplify the following expression
Answer:
x^4/64y^10
Step-by-step explanation:
Answer:
=4
Step-by-step explanation:
823 can be written as
3√82
=3√64
=3√(4)(4)(4)
=4
In Exercises 7-12, describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix.
The parametric form can be written as -
\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)
What are homogeneous and non - homogeneous matrix form?A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.
A matrix equation of the form \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.
Given is to find the solution in parametric vector form.
If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :
\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)
We have a matrix where {A} is the row equivalent to that matrix -
\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)
Given matrix can be written in Augmented form as -
\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)
Row Reduced Echelon Form can be obtained using the following steps -
{ 1 } - Interchanging the rows R{1} and R{2}.
\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)
{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.
\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)
\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)
{ 3 } - Using R{1} -> R{1}/2
\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right] \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)
{ 4 } - Following equation can be deducted as
\(x_1 + 3x_2 - 4x_4 =0\)
{ 5 } - We can write the parametric form as -
\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)
Therefore, the parametric form can be written as -
\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)
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A father is now twice as old as his son. If the sum of their ages ten years ago was fifty two, how old are they today?
Answer:
24 and 48
Today, the son is 24 years old, and the father is 48 years old.
Step-by-step explanation:
(x - 10) + (2x - 10) = 52
3x + 20 = 52
3x = 72
x = 24
The father is 2 times his son's age.
2x
= 2(24)
= 48
So, the son is 24 and the father is 48.
10 years ago, son was 14 and father was 38, if added, this adds up to 52, so we know our calculations are correct.
Answer:
So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.
Step-by-step explanation:
If the son’s age is x, the father’s age is 2x.
Ten years ago:
(x - 10) + (2x - 10) = 52
3x + 20 = 52
3x = 72
x = 24
2x = 48
What is an expression involving division that is equivalent to the expression below?
2/9 x 3/4
Answer:
2/9 ÷ 4/3
Step-by-step explanation:
18.08 x 1.3 + 2.12 then multiply the answer by 2.12
then add the 2 answers
i will give brainliest
Answer:
79.94688
Step-by-step explanation:
need help with part a part b part c quick
Answer:
1. C.
2. D.
3. D.
Step-by-step explanation:
A. Round both dimensions the nearest whole number. 8 1/3 rounds to 8, 6 3/4 rounds to 7. Multiply these two and your estimate for the tarp area is 56 sq yds. Option C.
B. Convert both mixed numbers to improper fractions. Multiply whole number by divisor and add the dividend. (8*3) + 1 = 25. First number is 25/3.(6*4) + 3 = 27. Second number is 27/4. Multiply these two numbers fractions and get 225/4. Convert to a mixed number, 56 1/4. Option D.
C. This answer is reasonable. 56 1/4 is pretty close to our estimate of 56 sq yds. Or just choose the option that corresponds to your estimate from part A. Option D.
Find the value of x, y, and z. (Round to the 3rd decimal place if possible)
Addressing issue hand, we state that Therefore, the linear equation solution to the system of equations is: x = 0.5, y = 0.1667, z = -0.5 and x = 0.500, y = 0.167, z = -0.500
What is a linear equation?In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.
values of x, y, and z, we can use the system of equations
3x - 2y + z = 1
2x + y - z = 0
x + 2y + 3z = -1
We can use Gaussian elimination or any other suitable method to solve the system. Here's one way to do it:
3x - 2y + z = 1 (eq. 1)
2x + y - z = 0 (eq. 2)
x + 2y + 3z = -1 (eq. 3)
3x - 2y + z = 1 (eq. 1)
0.6667x + 1.3333y - 1.3333z = -0.6667 (eq. 2')
-0.3333y + 2.3333z = -1.3333 (eq. 3')
3.3333x - 0.3333z = 0.1667 (eq. 1')
0.6667x + 1.3333y - 1.3333z = -0.6667 (eq. 2')
2.1667z = -1.0833 (eq. 3')
z = -0.5
y = 0.1667
x = 0.5
Therefore, the solution to the system of equations is:
x = 0.5, y = 0.1667, z = -0.5
x = 0.500, y = 0.167, z = -0.500
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If the mean body temperature of a chameleon is 75 degrees, with a standard deviation of 4 degrees, which of the following is least likely? A. A random sample of 10 chameleons will have a mean body temperature less than 72 degrees B. A single chameleon, chosen at random, has a body temperature that is less than 72 degrees C. A random sample of 50 chameleons will have a mean body temperature less than 72 degrees
Option A is true because obtaining a sample mean of less than 72 degrees from a sample of size 10 would require a significant deviation from the population mean of 75 degrees.
Based on the given information, the mean body temperature of a chameleon is 75 degrees with a standard deviation of 4 degrees. We can assume that the body temperatures follow a normal distribution.
A. A random sample of 10 chameleons will have a mean body temperature less than 72 degrees:
To determine the likelihood of this event, we need to calculate the probability that a sample mean from a sample of size 10 is less than 72 degrees. Since the sample mean follows a normal distribution, we can use the standard error formula (standard deviation divided by the square root of the sample size) to standardize the distribution. With a sample size of 10, the standard error would be 4/sqrt(10), and we can calculate the probability using the z-score.
B. A single chameleon, chosen at random, has a body temperature that is less than 72 degrees:
This event is independent of the sample mean and can be assessed by calculating the probability that a single chameleon has a body temperature less than 72 degrees. This can be done using the z-score with the given mean and standard deviation.
C. A random sample of 50 chameleons will have a mean body temperature less than 72 degrees:
Similar to part A, we need to calculate the probability that a sample mean from a sample of size 50 is less than 72 degrees using the z-score.
Considering the given information, it is least likely that the other options involve either a single observation or larger sample sizes, which are more likely to represent the population mean accurately.
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1. Find the cost of 3.5 yards of fabric if the fabric is priced at $6.00 per yard.
$210.00
$1.71
$21.00
$17.10
$21.00
Step-by-step explanation:
if 1 yard equal 6 dollars
do 6 times 3 = 18
and half of 6 is 3
add 18+3=21 dollars
Which set of ordered pairs does not represent a function? O {(9,3), (2,-2), (2,6), (-5,2)} O {(-7,-5), (2, -7), (-4,7),(7,-5)} O{(-1, -8), (0, -2), (9,6), (-3, -2)} O {(1,0),(-1,9), (3, 2), (-7, -2)} 2 9 Submit Answer
Answer:
Step-by-step explanation:
greatest to least 2 4/5,-2 3/10,-1.5,0.6?
Answer:
2 4/5, 0.6, -1.5, -2 3/10
Step-by-step explanation:
2 4/5, -2 3/10, -1.5, 0.6
2 4/5 = 14/5 = 2.8
-2 3/10 = -23/10 = -2.3
Greatest to least: 2 4/5, 0.6, -1.5, -2 3/10
Multiply.
3/8x4/5
Express your answer in simplest form.
Answer: 3/10 or (Decimal form: 0.3)
can someone please give me an answer for this
Answer:
it needed your to focus on school work , homework and work hard to make yourself feel ready
What is the slope of a horizontal line that passes through the point (3,-7)?
Answer:
The slope of any horizontal line is 0.
Step-by-step explanation:
All horizontal lines have the same slope. The slope of any horizontal line is zero.
You can remember this because lines that go up (from left to right) have positive slope. The number gets smaller as the line gets flatter. Then the horizontal line has zero slope. Then lines that go down (from left to right) have negative slope.
If you need the equation of the horizontal line through (3,-7). That is y = -7
The equation of a horizontal line is "y=anumber". In the point (x,y) the 3 is the x and the -7 is the y.
y = -7
which statements are true? select three options. and are parallel. and are parallel. and are perpendicular. and must intersect. lies in plane x. lies in plane x.
The true statements are, Line A B and Line C G are parallel, Line C G and Line R S are perpendicular, Line A B and Line R S must intersect and Line segment C G lies in plane X.
Given that Planes X and Y intersect at a right angle. Line AB and CG are on plane X, while line RS is on plane Y. Therefore, line CG lies on plane X.
Since both line AB and CG lie on the same plane, they are parallel to each other.
Since plane X and plane Y are perpendicular to each other and line CG is on plane X while line RS is on plane Y, this means that Line CG and Line RS are perpendicular to each other.
Line AB and Line RS may or may not intersect. They could be skew lines, which do not intersect and are not parallel.
Line segment CG lies on plane X since it is contained within the plane that contains points C, G, and either A or B.
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The question is -
Which statements are true? Select three options.
a. Line A B and Line C G are parallel.
b. Line A B and Line R S are parallel.
c. Line C G and Line R S are perpendicular.
d. Line A B and Line R S must intersect.
e. Line segment C G lies in plane X.
f. Line segment R S lies in plane X.
Answer: ace
Step-by-step explanation:
how many grams of water are contained in 75.0 g of a 6.10 queous solution of k3po4? (choose one answer)
a.68.1 g b.62.,8 g c.75.0 g d.70.4 g e.73.2 g
70.4 g of water are contained in 75.0 g of 6.10 aqueous solution of K3PO4. Therefore option D is correct.
To find the mass of water in the solution, we need to first find the mass of K3PO4 in the solution.
We can do this using the concentration of the solution, which is given as 6.10.
This means that there are 6.10 grams of K3PO4 for every 100 grams of solution.
To find the mass of K3PO4 in 75.0 grams of solution, we can use a proportion:
6.10 g K3PO4 / 100 g solution = x g K3PO4 / 75.0 g solution
Cross-multiplying gives:
(6.10 g K3PO4) * (75.0 g solution) = (100 g solution) * (x g K3PO4)
Solving for x gives:
x = (6.10 g K3PO4) * (75.0 g solution) / (100 g solution) = 4.575 g K3PO4
Now we can find the mass of water in the solution by subtracting the mass of K3PO4 from the total mass of the solution:
Mass of water = Total mass of solution - Mass of K3PO4
Mass of water = 75.0 g - 4.575 g = 70.425 g
Therefore, the answer is (d) 70.4 g of water are contained in 75.0 g of a 6.10 aqueous solution of K3PO4.
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How do you prove a TM is undecidable?
Answer:
Step-by-step explanation:
A Turing machine (TM) is considered undecidable if there is no algorithm that can decide, in a finite amount of time, whether a given input string is accepted by the machine or not.
One common way to prove that a TM is undecidable is by using Rice's Theorem. Rice's Theorem states that, for a large class of computational problems, if a problem is nontrivial (i.e., there exist both positive and negative instances of the problem), it is undecidable.
Another way to prove the undecidability of a TM is by reducing the halting problem to it. The halting problem is the problem of determining, given a TM and an input string, whether the TM halts on the input or not. It has been proven that the halting problem is undecidable, so if you can show that the problem you are considering is equivalent to the halting problem, then you have proven that the problem is also undecidable.
These are just two of many ways to prove that a TM is undecidable. The exact proof will depend on the specific TM and problem in question.
ou have $54.75. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $79.99 and have $34.76 left. How much money do you earn mowing lawns
Answer: 60
Step-by-step explanation:
If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60