The z statistic of 2.41 indicates that the test is measuring a difference that is 2.41 standard deviations away from the mean. The correct option is a.
To determine if this difference is statistically significant, we need to compare it to the critical values for our chosen level of significance (α).
If the critical value for α=0.05 is less than 2.41, but the critical value for α=0.01 is greater than 2.41, then the test is statistically significant at α=0.05 but not at α=0.01. This means that there is evidence to support the alternative hypothesis at a less strict level of significance (α=0.05), but not at a more strict level of significance (α=0.01).
On the other hand, if both the critical value for α=0.05 and the critical value for α=0.01 are less than 2.41, then the test is statistically significant at both levels of significance. This means that there is strong evidence to support the alternative hypothesis even at a very strict level of significance (α=0.01).
In summary, we need to compare the z statistic to the critical values for α in order to determine if the test is statistically significant. Depending on the values of the critical values for α, the test may be statistically significant at both levels of significance, only at α=0.05, or not statistically significant at either level of significance. The correct option is a.
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If y= 12 when = -15, find y when x= 2
Answer:
2.5 or 2½
Step-by-step explanation:
y=12
x=-15
if x=2
y=2/12×15
y=2.5 or 2½
A major arc will have a measure that is
O A. greater than 180°
OB. less than 180°
O C. equal to 180°
an espresso stand has a single server. customers arrive to the stand at an average rate of 28 per hour. the average service rate is 35 customers per hour. the average time in minutes a customer spends waiting in line for service is group of answer choices 6.86 minutes 8.58 minutes 0.114 minutes none of the choices listed 0.143 minutes
The average time in minutes a customer spends waiting in line for service is 5.49 minutes, so the correct answer is D. none of the choices listed.
We can use Little's Law to find the average time a customer spends waiting in line for service:
Average time in line = (Average number of customers in line) / (Service rate)
To find the average number of customers in line, we can use the formula for the M/M/1 queuing system:
Lq = (ρ²) / (1 - ρ)
where
Lq is the average number of customers in the queue
ρ is the utilization of the server, which is equal to the arrival rate divided by the service rate
So, ρ = (Arrival rate) / (Service rate) = 28/35 = 0.8
And, Lq = (0.8^2) / (1 - 0.8) = 0.64 / 0.2 = 3.2
Now we can use Little's Law:
Average time in line = (Average number of customers in line) / (Service rate) = 3.2 / 35
Converting hours to minutes, we get:
Average time in line = (3.2 / 35) * 60 = 5.49 minutes
So the answer is D. none of the choices listed.
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will mark 5* brainliest if i can, please enter your answer as shown!!
Step-by-step explanation:
she can take 1 break halfway is number 3
23.25
Stephan can run 3 miles in 15.75 minutes. Kelsha can run 5 miles in 226 minutes.
Who can run faster?
Unit rate for Stephan:
Unite rate for Kelsha.
Answer:
Step-by-step explanation:
Stephan can run
3 miles in 15.75 minutes
1 miles in 15.75/3 minutes
1 miles in 5.25 minutes
Kelsha can run
5 miles in 226 minutes
1 miles in 226/5 minutes
1 miles in 45.2 minutes
Stephan can run faster, since 5.25 < 45.2
Stephan can run faster, than Kelsha since 5.25 < 45.2.
What is speed?Speed is defined as the ratio of the distance traveled by the body to the time taken by the body to cover the distance. The unit of speed is measured in a meter per second, Miles per second, etc. Speed is a scalar quantity and does not require direction.
The speed for Stephan will be calculated as below:-
3 miles in 15.75 minutes
1 mile in 15.75/3 minutes
1 mile in 5.25 minutes
The speed for Kelsha will be calculated as below:-
5 miles in 226 minutes
1 mile in 226/5 minutes
1 mile in 45.2 minutes
Therefore, Stephan can run faster, than Kelsha since 5.25 < 45.2.
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Which of the following statements about the assumptions underlying a two-way ANOVA are true? a.The two-way ANOVA is robust to violations of the assumptions of sampling from normal distributions and HOV provided the samples are of equal size (e.g. n1=n2=n3..).
b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).
c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.
d. If the assumptions underlying a two-way ANOVA are violated, the research should conduct two one-way ANOVAs instead.
The correct statements are:
b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).
c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.
In a two-way ANOVA, there are several assumptions that need to be met for valid statistical inference. Two of these assumptions are the equality of population variances and the normal distribution of populations.
b. The assumption of homogeneity of variance states that the population variances for each combination of levels of the two factors in a two-way ANOVA should be equal. Violation of this assumption can lead to biased results and affect the validity of the statistical test.
c. The assumption of normality states that the populations from which the samples are taken should follow a normal distribution. This assumption is important because the validity of the F-test used in ANOVA is based on the assumption of normality. Departures from normality can impact the accuracy and reliability of the results.
a. The statement in option (a) is not true. The two-way ANOVA is not robust to violations of the assumptions of sampling from normal distributions and homogeneity of variance, even if the samples are of equal size. Violations of these assumptions can lead to inaccurate and unreliable results.
d. The statement in option (d) is also not true. If the assumptions of a two-way ANOVA are violated, it does not necessarily mean that the researcher should conduct two separate one-way ANOVAs. There are alternative non-parametric tests or robust ANOVA methods that can be used in such cases. The choice of appropriate statistical analysis depends on the nature of the data and the specific research question.
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Prospective Enterprises (PE) employs Quinn to buy property for a possible commercial development. Quinn secretly buys some of the property and sells it to PE at a profit. Quinn has breached: Group of answer choices the duty of notification. the duty of accounting. no duty. the duty of loyalty.
Quinn has breached duty of loyalty by secretly buys some of the property and sells it to PE at a profit.
Quinn has breached the duty of loyalty.
The duty of loyalty is a fiduciary duty that requires an agent to act solely in the best interest of their principal and avoid any conflicts of interest. In this scenario, Quinn, as an agent of PE, secretly buys some of the property and sells it to PE at a profit without disclosing this information. By doing so, Quinn puts their personal interest above the interest of PE, which is a breach of the duty of loyalty.
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a triangular window can only have an area of 120 square feet and the architect wants the base to be 4 feet more than twice the height. find the base and height of the window.
the base of the triangular window is 24 feet and the height is 10 feet.
Let's denote the height of the triangular window as h feet. According to the given information, the area of the window is 120 square feet.
The formula to calculate the area of a triangle is:
Area = (1/2) × base × height
In this case, we can write the equation as:
120 = (1/2) × base × h
Now, we are also given that the base of the window is 4 feet more than twice the height. So we can express the base as:
base = 2h + 4
Substituting this expression for the base into the area equation, we have:
120 = (1/2) × (2h + 4) × h
Now we can solve this equation for the height.
Multiplying both sides of the equation by 2 to remove the fraction:
240 = (2h + 4) × h
Expanding the right-hand side:
240 = 2h² + 4h
Rearranging the equation and setting it equal to zero:
2h² + 4h - 240 = 0
Now we can solve this quadratic equation. Factoring out a 2:
2(h² + 2h - 120) = 0
Factoring the quadratic expression inside the parentheses:
2(h + 12)(h - 10) = 0
Setting each factor equal to zero:
h + 12 = 0 or h - 10 = 0
Solving these equations, we get:
h = -12 or h = 10
Since height cannot be negative in this context, we discard the negative value. Therefore, the height of the triangular window is h = 10 feet.
Substituting the height value back into the expression for the base:
base = 2h + 4
= 2(10) + 4
= 20 + 4
= 24
Therefore, the base of the triangular window is 24 feet and the height is 10 feet.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
=1/3 that is correct answer
Step-by-step explanation:
hope you understand
Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks?
Answer:
42 and a half
Step-by-step explanation:
17÷2 = 8.5x5= 42.5(42 and a half)
Answer:
42.5 hours
Step-by-step explanation:
If she spent 17 hours I’m 2 weeks and she practiced for 5 weeks, do 17 x 2 and you will get 34 the extra week 17/2 which is 8.5 add those 2 up and you get 42.5 hours she spent there (does that make sense? sorry if it doesn’t)
- If MML = (11x - 5), mJK = (4x + 26)° and mZMNL = (10x – 12),
find mZMNL.
Answer:
m∠ MNL = 78º
Step-by-step explanation:
Arcs meassures
mML = (11x - 5)º
mJK = (4x + 26)°
Angle meassure
m∠MNL = (10 x – 12)º
______________________
angle measure = average of arcs
m∠MNL = (mML+ mJK)/2
Replacing
(10x – 12)º = ((11x - 5)º + (4x + 26)° )/ 2
10x -12 = (15x + 21 )/2
10x - 7.5x = 10.5 + 12
2.5x = 22.5
x= 9
m∠MNL = (10 x – 12)º
= 90 - 12
= 78º
If a car costs 3. 26 for 25 miles then how much does the car costs for one mile
The car costs $0.1304 for one mile.
Given, a car costs $3.26 for 25 miles. Let x be the cost of the car per mile.
Then, the cost of the car for one mile is x dollars.
So, the cost of the car for 25 miles is 25x dollars.
As per the given data, the cost of the car for 25 miles is 3.26 dollars.
Therefore, we get the equation as:
25x = 3.26 On dividing both sides by 25, we get x = 0.1304 dollars. Thus, the car costs $0.1304 for one mile.
We have to find the cost of the car for one mile.
So, let x be the cost of the car per mile. Then, the cost of the car for one mile is x dollars.
The cost of the car for 25 miles is 25x dollars.
As per the given data, the cost of the car for 25 miles is 3.26 dollars.
25x = 3.26On dividing both sides by 25, we get
x = 0.1304 dollars
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The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)
(1,2,4)
Step-by-step explanation:Range describes the y-values of a graph.
Range
Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.
Finding Range
In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).
What is the range of the function f(x) = |x| + 5?
answer choices are in picture
\(Answer:R:\{\ f(x)\in\mathbb R\ |\ f(x)\geq 5\}.\)
Step-by-step explanation:
\(x\in(-\infty:+\infty)\ \ \ \ \Leftrightarrow\ \ \ \ R:\{f(x)\in\mathbb R\ |\ \-\infty < f(x) < -\infty\}\\|x|\in[0;+\infty)\ \ \ \ \Leftrightarrow \ \ \ \ R:\{f(x)\in\mathbb R\ |\ f(x)\geq 0\}\\|x|+5\in[5;+\infty)\ \ \ \ \Leftrightarrow \ \ \ \ R:\{f(x)\in\mathbb R\ |\ f(x)\geq 5\}.\)
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
how many times does the quadratic function below intersects the X axis?
Answer:
D. 0
Step-by-step explanation:
discriminant = b^2 - 4ac = 3^2 - 4(1)(15) = 9 - 60 = -51
Since the discriminant is negative, this equation has no real solutions. Therefore, the graph does not intersect the x-axis.
Answer: D. 0
Veuillez m’aider s’il vous plaît à résoudre cette question merci !
2. Un tableur a permis d'estimer l'évolution du taux de la population urbaine en France,
en pourcentage, par :
1(x)=0,00028x^3 -0,0276x^2 +0,968x+62,5
Lorsqu'on modélise
où x est le nombre d'années écoulées depuis 1960.
une évolution par une
Le rythme de croissance (instantané) du taux est assimilé à la dérivée de t. fonction, il faut que ses
a. Calculer la valeur estimée du taux de la population urbaine en 1968. valeurs, son sens de
Calculer le pourcentage d'erreur par rapport à la valeur effective de ce variation et son rythme
taux en 1968, donnée dans le texte.
de croissance soient
b. Exprimer t'(x), puis "(x) en fonction de .x.
compatibles avec les
c. Justifier que la fonction i est croissante sur [0;+ e[ . Interpréter.
données observées.
d. D'après le modèle, au cours de quelle année le rythme de croissance est-il le plus faible?
Est-ce compatible avec les données du texte ?
e. Expliquer pourquoi, à partir d'un moment, la fonction ne peut modéliser l'évolution du
taux de population urbaine.
Answer:
population and moment ne
The sum of two numbers is 36. One number is 8 more than the other one. Find the two numbers and explain your thinking
Answer fast!! AHH
Answer:
ummmm ok give a sec
Step-by-step explanation:
Answer:
14,22
Step-by-step explanation:
Is the relation represented in this table a function? Helppp
Consider a standard normal random variable z. What is the value of z if the area to the right of z is 0.3336? Multiple Choice 0.43 0.52 O o 0.35 1.06 O
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
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I need help With this Math assighnment.
Answer:
$3.60
Step-by-step explanation:
Hope this helped
every answer I have typed in is wrong but what is.
2/12 simplified
Answer:
1/6
Step-by-step explanation:
hope this helps :)
1/6
divide both by 2 and you get 1/6
What are the only two values such that the Fn=n
Find the measure of angle 4.
O 130
O 75
O 4
O 69
Step-by-step explanation:
the sum of all angles in a triangle is always 180°.
so,
180 = 60 + 45 + angle4 = 105 + angle4
75° = angle4
The radius of a circle is 6.1 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
\(circumference = 2\pi \: r \\ = 2 \times 3.14 \times 6.1 \\ = 38.3 \: cm\)
We have been given the radius of a circle is 6.1 cm. So, the Circumference of the circle is 38.3 cm.
How are the radius and circumference of a circle related?Suppose that a considered circle has:
Circumference = C units
Radius = r units
Then, we get:
\(C = 2\pi r \: \rm units\)
We have been given the radius of a circle is 6.1 cm.
The Circumference of the circle
\(C = 2\pi r \: \rm units\)
\(C = 2\times 3.14 \times 6.1 \rm units\\\\C = 38.3cm\)
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The graph of y=x^2has been translated 3 units down. Identify the new equation and the following attributes: the vertex, the
zeros, the y-intercept, and explain if it has a minimum or a maximum
help please!!!!!
A cubic with roots of 3,0, and -2 that passed through (-1,6)
Answer:
Therefore, q(x) must be a constant polynomial, and the cubic polynomial that has roots of 3, 0, and -2, and passes through the point (-1, 6) is:f(x) = (x-3)(x-0)(x+2)(0) + 6
= (x-3)(x)(x+2) + 6
= x^3 - x^2 - 5x + 6
Step-by-step explanation:
If a cubic polynomial has roots of 3, 0, and -2, and it passes through the point (-1, 6), then we can write the polynomial in the form:f(x) = (x-3)(x-0)(x+2)q(x) + 6where q(x) is a polynomial of degree 0.To find q(x), we can plug in x = -1 to the equation above and solve for q(-1). This gives us:f(-1) = (-1-3)(-1-0)(-1+2)q(-1) + 6
= (-4)(-1)(1)q(-1) + 6
= 4q(-1) + 6
= 6Solving for q(-1) gives us q(-1) = (6-6)/4 = 0.
Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
Here is an example solution in Python that follows the given pseudocode:
# Prompt for and read the first term
first_term = int(input("Enter first term: "))
# Prompt for and read the common difference
common_difference = int(input("Enter common difference: "))
# Prompt for and read the number of terms
number_of_terms = int(input("Enter number of terms: "))
# Calculate the last term
last_term = first_term + (number_of_terms - 1) * common_difference
# Calculate the sum of all the terms
sum_of_terms = number_of_terms * (first_term + last_term) / 2
# Calculate the average of all the terms
average_of_terms = sum_of_terms / number_of_terms
# Display the results
print("The last term is", last_term)
print("The sum of all the terms is", sum_of_terms)
print("The average of all the terms is", average_of_terms)
If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.
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Jose has $400 in the bank. Each week, he saves $130. He wants to know when he will have at least $1000
Answer:
Do 400 x 130 then whatever you get divide it by 1000
Step-by-step explanation:
Answer:
In at least 5 weeks, Jose will have at least 1000$
Step-by-step explanation:
Hope this helps!!!
Find the area under the standard normal curve for the following using the z-table.
Between z=0 and z=.68
Between z= -0.46 and z=0
Between z= -0.34 and z=0.68
1. The area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.
2. The area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.
3. The area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.
To find the area under the standard normal curve using the z-table, you need to locate the corresponding z-scores and subtract the areas.
Between z=0 and z=0.68:
From the z-table, the area to the left of z=0 is 0.5000, and the area to the left of z=0.68 is 0.7517.
Therefore, the area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.
Between z=-0.46 and z=0:
From the z-table, the area to the left of z=-0.46 is 0.3222, and the area to the left of z=0 is 0.5000.
Therefore, the area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.
Between z=-0.34 and z=0.68:
From the z-table, the area to the left of z=-0.34 is 0.3669, and the area to the left of z=0.68 is 0.7517.
Therefore, the area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.
Note: The z-table provides the area to the left of the given z-score. To find the area between two z-scores, you need to subtract the areas corresponding to those z-scores.
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