The null hypothesis (H0) for this ANOVA test is that there is no significant difference among the means of the groups being compared. The alternative hypothesis (H1) is that there is a significant difference among the means of the groups.
The degrees of freedom for errors (v1 and v2) in this ANOVA test should be (k - 1) and (N - k), respectively, where k is the number of groups being compared and N is the total number of observations.In an ANOVA (Analysis of Variance) test, the null hypothesis (H0) states that there is no significant difference among the means of the groups being compared. This means that any observed differences in means are due to random variation or chance.
The alternative hypothesis (H1), on the other hand, asserts that there is a significant difference among the means of the groups. It suggests that the observed differences are not due to chance and that there are actual differences between the groups.
To conduct the ANOVA test, we need to determine the degrees of freedom for errors (v1 and v2). The degrees of freedom for errors represent the variability within the data and are used to calculate the critical value from the F-distribution. The formula for calculating the degrees of freedom for errors in an ANOVA test is (k - 1) and (N - k), where k is the number of groups being compared and N is the total number of observations.
For example, if we are comparing the means of three groups and we have a total of 30 observations, the degrees of freedom for errors would be (3 - 1) and (30 - 3), which are 2 and 27, respectively.
To conduct the test at the 5% level of significance, we would compare the calculated F-value to the critical F-value obtained from the F-distribution with the appropriate degrees of freedom.
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one morning, ms. simon drove directly from her home to her workplace in 242424 minutes. what was her average speed, in miles per hour, during her drive that morning?
The average speed in miles per hour during her drive that morning is 43.5 miles per hour .
In the question ,
it is given that ,
the distance between home to freeway entrance is = 0.6 miles
the distance between freeway entrance to freeway exit is = 15.4 miles
the distance between freeway exit to workplace is = 1.4 miles
So , the distance from home to work place = 0.6 + 15.4 + 1.4 = 17.4 miles
we know that 24 minutes = 24/60 = 0.4 hours ,
the average speed = total distance / total time
= 17.4/0.4
= 43.5 miles per hour
Therefore , the average speed is 43.5 miles per hour .
The given question is incomplete , the complete question is
One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. what was her average speed, in miles per hour, during her drive that morning ?
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Question 5 (3 points) For a Normal distribution with mean 0 and standard deviation 1, which of the following Python lines outputs the probability p(-0.15 < x < 1.88)? Select one. O import scipy.stats as st print(st.norm.cdf(1.88, 0, 1) - st.norm.cdf(-0.15, 0, 1)) O import scipy.stats as st print(st.norm.pdf(1.88, 0, 1) - st.norm.pdf(-0.15, 0, 1)) O print(st.norm.cdf(1.88, 0, 1) - st.norm.cdf(-0.15, 0, 1)) O import scipy.stats as st print(st.norm.cdf(1.88, 0, 1))
The probability distribution at each point x along the horizontal axis.
Why Python lines outputs the probability?For a Normal distribution with mean 0 and standard deviation 1,
the following Python line outputs the probability p(-0.15 < x < 1.88):
print(st.norm.cdf(1.88, 0, 1) - st.norm.cdf(-0.15, 0, 1))
Probability is the likelihood or chance that an event will occur. It is a number between 0 and 1, with 0 indicating that an event will never occur and 1 indicating that an event will always occur.
Probability values range from 0 to 1, with a value of 0 indicating that the event will never occur and a value of 1 indicating that the event will always occur.
The probability is the value between 0 and 1 that indicates the likelihood of an event occurring. The probability is obtained by dividing the number of ways an event can occur by the total number of possible outcomes.
Scipy.stats.norm is the normal distribution's probability density function (pdf) in SciPy.
The PDF function is a part of the scipy.stats library in Python. The probability density function of the normal distribution is the function scipy.stats.norm.pdf(x, loc=0, scale=1). It is the height of the probability distribution at each point x along the horizontal axis.
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Randa used 4 1/2 gallons of water each time she washes dishes if she washes five time will she use gallons of water if she uses more than 20 gallons how much more will she use
Therefore, if Randa cleanses plates five times, she will use 2 1/2 gallons more than 20 gallons of water.
What does a gallon look like?In the US, the gallon is a measurement unit for substances like milk, fuel, and water. If the petrol in your vehicle is nearly depleted, you should stop and get at least a couple extra gallons. A gallon is equal to 4 pints, or 3.785 gallons, of liquid.
To find out how many gallons of water Randa will use if she washes dishes five times, we need to multiply the amount of water she uses each time by the number of times she washes dishes:
4 1/2 gallons per wash x 5 washes = 22 1/2 gallons
Therefore, Randa will use 22 1/2 gallons of water if she washes dishes five times.
To find out how much more than 20 gallons of water she will use, we need to subtract 20 from the total amount of water she will use:
22 1/2 gallons - 20 gallons = 2 1/2 gallons
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HELP!! 100 POINTS!
2. Set up the following word problem as a proportion and solve. Then write your answer as a complete sentence.
A health department estimates that 9 vials of malaria serum will treat 150 people. At this rate, how many vials are required to treat 250 people?
I think 16 vials are needed to treat 250 people
Can someone help on this? Please :)
answer:
N(t)=2×\(1.7^{t}\)
17
15
step by step explain:
before lesson (t=0), she knows 2 words.
after a week (t=1), she knows
2×(1+70%)=3.4 words
after one more week (t=2), she knows
3.4×(1+70%)=5.78 words
one more week later (t=3), she knows
5.78×(1+70%)=9.826 words
and so on ...
from pattern shown above, we know that she knows
2×\(1.7^{t}\) words after t weeks
so N(t)=2×\(1.7^{t}\)
after 4 weeks (t=4), she knows 2×\(1.7^{4}\)=16.7042≈17 words
for learning 5000 words, she need:
2×\(1.7^{t}\)=5000
\(1.7^{t}\)=2500
t log(1.7)=log(2500)
t=\(\frac{log(2500)}{log(1.7)}\)
=14.7448727
≈15 (round up)
Answer:
(a) N(t) = 2(1.7)^t
(b) 17
(c) 15
Step-by-step explanation:
(a) N(t) = 2(1.7)^t
There is a 2 because she starts with 2 words. The 1.7 is since her vocabulary grows by 70%. Finally, t represents the weeks. (it is an exponent)
(b) Just plug in the equation
N(4) = 2(1.7)^4
N(4) = 2(8.3521)
N(4) = 16.7042
Round, so it is 17
(c) Once again, plug in the equation
5000 = 2(1.7)^t
2500 = (1.7)^t
use a calculator for the part below
log1.7(2500) = log1.7(1.7)*t
t = log1.7(2500)
t = 14.7448
Round, so it is 15
does anyone here know how to write negative 1 on there
Answer:
you fo to the fourth box on there and put - then go to the box after that and put 1
Step-by-step explanation:
sorry if im wrong
Diego is trying to find the value of X in 5 • x = 35. He draws his diagram but it’s not certain how to proceed. 1. Complete the tape diagram so represents the equation 5•x = 352. Find the value of x.Type the answer in the box belowX=__(Please use pictures or screenshots.
The tape diagram is:
Then we have that x times x equals to 35
What number multiplied 5 times is 35? The answer is 7
The answer to two is 7
We have the equation:
\(x\cdot5=35\)this means, that x is a number that multiplied by 5 is equal to 35. We can then divide both sides by 5:
\(x\cdot\frac{5}{5}=\frac{35}{5}\)By the multiplication table, we know that 5 *7 = 35. Thus:
\(x=7\)The answer is x = 7
Please answer >.<
10. How much would $400 invested at 5% interest compounded annually be worth after 6 years?
Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?
Hey there!
ANSWER:Yes
EXPLANATION:Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?
If you want to know whether they are equivalent, let's first find the value of both of them.
\(4-4x\)
\(-4x+4\)
\(4(1-x)\)
Let's add parenthesis to 4 and (1-x) and add negative to x.
\((4)(1+-x)\)
Now separate all with parenthesis.
\((4)(1)+(4)(-x)=4-4x\\-4x+4(ANSWER)\)
Since both had the same value, they are equivalent.
Hope this helps!
\(\text {-TestedHyperr}\)
Q3 Estimate the monthly average daily radiation on a horizontal surface \( \mathrm{H} \) in June in Amman given the following : Monthly average hours per day of sunshine in June 10 hours Climate type:
The estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.
To estimate the monthly average daily radiation on a horizontal surface H in June in Amman, we can use the following equation:
\([H = S \times H_s \times \frac{\sin(\phi)\sin(\delta)+\cos(\phi)\cos(\delta)\cos(H_a)}{\pi}]\)
where:
S is the solar constant, which is approximately equal to 1367 W/m(^2);
\(H(_s)\) is the average number of sunshine hours per day in Amman in June, which is given as 10 hours;
(\(\phi\)) is the latitude of the location, which for Amman is approximately 31.9 degrees North;
(\(\delta\)) is the solar declination angle, which is a function of the day of the year and can be calculated using various methods such as the one given in the answer to Q1;
\(H(_a)\) is the hour angle, which is the difference between the local solar time and solar noon, and can also be calculated using various methods such as the one given in the answer to Q1.
Substituting the given values, we get:
\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(\delta)+\cos(31.9)\cos(\delta)\cos(H_a)}{\pi}]\)
Since we are only interested in the monthly average daily radiation, we can assume an average value for the solar declination angle and the hour angle over the month of June. For simplicity, we can assume that the solar declination angle (\(\delta\)) is constant at the value it has on June 21, which is approximately 23.5 degrees North. We can also assume that the hour angle \(H(_a)\) varies linearly from -15 degrees at sunrise to +15 degrees at sunset, with an average value of 0 degrees over the day.
Substituting these values, we get:
\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(23.5)+\cos(31.9)\cos(23.5)\cos(0)}{\pi}]\)
Simplifying the equation, we get:
\([H \approx 7.35 \text{ kWh/m}^2\text{/day}]\)
Therefore, the estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.
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please help me asap i don’t know how to do this
Answer:
Step-by-step explanation:
the answer is 5]
A potential difference of 12 v is used to generate a current of 750ma to heat water for 5 minutes. calculate the energy transferred to the water in that time. please provide formula used
The energy transferred to the water in 5 minutes is 2700 Joules.
To calculate the energy transferred to the water, we can use the formula:
Energy = Power x Time
where Power = Potential Difference x Current
Given potential difference = 12V and current = 750mA, we can calculate the power as:
Power = 12V x 750mA = 9W
Now, the time taken to heat the water is given as 5 minutes. We need to convert this into seconds to use the SI unit of power, which is watts. So,
Time = 5 minutes = 300 seconds
Putting the values in the formula for energy, we get:
Energy = Power x Time
Energy = 9W x 300s
Energy = 2700 Joules
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PLEASEE PLEASEEE HELLPP ASAPPP 50 POINTS
Answer:
the coordinates of point A are (1, 4)
the coordinates of point B are (-3, 1)
the shape is a trapezoid
A bookmark has a perimeter of 54 centimeters and an area of 152 square centimeters. What are the dimensions of the bookmark?
The bookmark has dimensions of 19 cm by 8 cm.
Given, the perimeter of a bookmark = 54 cmThe area of a bookmark = 152 sq cm
Let's assume the length of the bookmark as 'l' and the breadth as 'b'.Since, Perimeter of a rectangle = 2(l + b)Here, Perimeter = 54 cm2(l + b) = 54l + b = 54/2 - Equation 1 (Dividing by 2 into both sides)l + b
= 27 - Equation 2Area of a rectangle
= length x breadth152 = l × bl × b
= 152 - Equation 3l × b = 152
From Equation 2, b = 27 - substitute the value of b in Equation 3.l × (27 - l) = 15227l - l² - 152 = 0l² - 27l + 152 = 0Factorizing, we get (l - 8) (l - 19) = 0l = 8 or 19If l = 8 cm, then the breadth of the rectangle will be 19 cm. As the product of length and breadth should be 152 sq cm. But in this case, it's not equal to 152 sq cm.
Hence, the length of the rectangle is 19 cm, and the breadth is 8 cm. Thus, the dimensions of the bookmark are 19 cm x 8 cm.
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the answer for raise 8 to the 4th power, add the result to j, then divide what you have by 9
Answer:
8^4 + j
----------------
9
Step-by-step explanation:
"raise 8 to the 4th power, add the result to j, then divide what you have by 9" comes out to:
8^4 + j
----------------
9
This expression cannot be evaluated without our knowing the value of ' j .'
g(x) = |x + 4| find the domain and range
The domain for the function g(x) = |x + 4| = {1, 2, 3, 4} and the range is = {5, 6, 7, 8}
What is Domain and Range?The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.
Given:
g(x) = |x + 4|
As, we know the domain is the input value.
So, x= 1
g(x) = 5
and, x=2
g(x) = 6
and, x= 3
g(x) = 7
and, x= 4
g(x) = 8
and, the range is the output value which is signifies by g(x).
Hence, the domain = {1, 2, 3, 4} and range = {5, 6, 7, 8}
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A factory made 6 jars of creamy peanut butter and 94 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy ?
Answer:
Step-by-step explanation:
Total jars: 6+94=100
What percent is 6 of 100 = 6%
Each term in the sequence below is 20 less than 5 times the previous term. What is the value of x+y?
x, 0, y, -120,...
Plz explain
Answer:
The value of x + y is -16.
Step-by-step explanation:
If each term is calculated by multiplying the previous one times 5 and then subtracting 20 from that result, then we can use that information to relate the first term (x) and the second one (0).
Following the info above, the following equation applies:
0 = 5 x - 20
then we solve for x:
5x = 20
x = 20/5
x = 4
Now we do the same study relating the second term (0) and the third one (y):
y = 5 (0) - 20
y = -20
Now that we have the value for both unknowns, we can estimate what they ask you: The value of x + y:
x + y = 4 + (-20) = 4 - 20 = -16
A jacket that normally sells for $80 is on sale for 20% off. What is the sale price of the jacket?
Answer:
64
Step-by-step explanation:
..........
.........
A man is standing at the bottom of a tall building. He looks up at the top of the building at an elevation of 85°. The man is standing 20 feet away from the building. How tall is the building to the nearest foot?
The height of the building is approximately 125 feet to the nearest foot.
What is angle of incidence?
The angle of incidence is the angle formed by a ray of light or other wave as it approaches a surface, and a line perpendicular to that surface (known as the normal). It is the angle between the incident ray and the normal
We can use trigonometry to solve this problem. Let's assume the height of the building "h".
First, we need to find the distance between the man's eye level and the ground. We can use tangent function:
tan(85°) = h / 20
Solving for h, we get:
h = 20 * tan(85°)
h ≈ 125.36 feet
Therefore, the height of the building is approximately 125 feet to the nearest foot.
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Simplify the expression 5 to the power of 3 x 5 to the power of -5.
Answer:
5^-2
Step-by-step explanation:
5^3 * 5^-5
~Use exponent rule [ x^y * x^z = x^y+z ]
5^3+(-5)
~Simplify
5^-2
Best of Luck!
what is equivelent to −2y−8+4y khan academy
The equivalent expression is 2(y-4).
What is an expression?
A statement with more than two variables or integers can be written as an expression using addition, subtraction, multiplication, and division operations.
What is equivalent?Even though they have different looks, expressions that are equivalent do the same action. Two algebraic expressions that are equivalent have the same value when the variable is entered with the same value.
We have,
-2y - 8 + 4y
-2y and 4y are like terms.
So,
Add the like terms.
2y - 8
Taking out 2 commons.
2(y - 4)
Now,
We can not further simplify the expression.
Thus,
The equivalent expression is 2(y - 4).
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HELPP Write the equation of the given line in slope-intercept form:
Answer:
y = -3x - 1
Step-by-step explanation:
The slope-intercept form is y = mx + b
m = the slope
b = y-intercept
Slope = rise/run or (y2 - y1) / (x2 - x1)
Point (-1, 2) (1, -4)
We see the y decrease by 6 and the x increase by 2, so the slope is
m = -6 / 2 = -3
Y-intercept is located at (0, - 1)
So, the equation is y = -3x - 1
let t: r3 → r3 be a linear transformation such that t(1, 1, 1) = (2, 0, −1), t(0, −1, 2) = (−2, 5, −1), and t(1, 0, 1) = (1, 1, 0). find the indicated image.
You can substitute any vector v to find its image under the transformation t.
By multiplying the transformation by the vector, we can determine the image of a given vector under the linear transformation t. Let's call the given vectors v1, v2, and v3, as well as the images that correspond to them, t(v1), t(v2), and t(v3), respectively.
Given:
t(1, 1, 1) = (2, 0, -1) t(0, -1, 2) = (-2, 5, -1) t(1, 0, 1) = (1, 1, 0) Using the information provided, we can construct a system of equations:
This system of equations can be represented as: x1(1, 1) + x2(0, -1, 2) + x3(1, 0, 1) = (2, 0, -1) y1(1, 1) + y2(0, -1, 2) + y3(1, 0, 1) = (-2, 5, -1) z1(1, 1) + z2(0, -1, 2) + z3(1, 0, 1) = (1, 1, 0)
| 1 0 1 | | x1 0 1 | | 2 0 -1 | | 1 -1 0 | = |-2 5 -1 | | 1 2 1 | | x3 2 1 | | 1 1 0 | We can use matrix inversion to solve this system. The matrix on the left will be referred to as A, and the matrix on the right will be referred to as B. A * X = B In order to determine X, we can multiply both sides of the equation by the inverse of A:
We have: A1 * A = A1 * B because A1 * A is the identity matrix.
Now that we know the inverse of A, we can find X by multiplying it by B: X = A * B.
We can use matrix row operations to reduce A to the identity matrix and keep track of the row operations performed to apply the same operations to the identity matrix. A = | 1 0 1 | | 1 -1 0 | | 1 2 1 |
| 1 0 1 | | 1 0 1 | | 1 -1 0 | | 1 2 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | The matrix A has been reduced to the identity matrix. As a result, A1 is:
A1 = | 1 0 0 | | 0 0 1 | Now, we can find X by multiplying A1 by B:
A * B = | 1 0 0 | | 2 0 -1 | | 0 0 1 | | 1 0 0 | = | 2 0 -1 | | 2 5 -1 | | 1 1 0 | The system of equations' solution reads as follows:
X = | 2 0 - 1 |
|-2 5 - 1 |
| 1 1 0 |
The picture of any vector under the direct change t can be gotten by increasing the vector by the grid X:
Any vector v can now be used to find its image under the transformation t if t(v) = X * v.
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Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5
Answer:
Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5Step-by-step explanation:
One fourth of a Number decreased by three is at least two.
Answer:
100
Step-by-step explanation:
1/4 of 100 is 25. 25-3=22, which is at least 2.
For each pair of function f and g below, find f(g(x)) and g(f(x)). Then determine whether f and g are inverses of each other. Simplify your answers as much as possible. Assume your expressions are defined for all x in the domain of the composition.
1. f(x) = 1/3x, x not equal to 0
g(x) = 1/3x, x not equal to 0 what does f(g(x)) =, what does g(f(x)) =, Is f and g inverses of each other?
Answer: f and g ARE INVERSES of each other
Step-by-step explanation:
If f and g are inverses of each other, then their composition will equal x.
\(\text{Given:}\quad f(x)=\dfrac{1}{3x}\qquad \qquad g(x)=\dfrac{1}{3x}\)
\(f(g(x))\\\\f\bigg(\dfrac{1}{3x}\bigg)=\dfrac{1}{3(\frac{1}{3x})}\quad =\dfrac{1}{\frac{1}{x}}\quad =x\\\\\\\\\\g(f(x))\\\\g\bigg(\dfrac{1}{3x}\bigg)=\dfrac{1}{3(\frac{1}{3x})}\quad =\dfrac{1}{\frac{1}{x}}\quad =x\)
Since their compositions both equal "x", they are inverses of each other
use the intermediate value theorem to show that the polynomial has a real zero between the given integers? f(x)= x^3-x-4; between 1 and 7.
We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.
To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.
Let's evaluate f(1) and f(7) to determine their signs:
f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4
f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332
From the calculations, we can see that f(1) = -4 and f(7) = 332.
Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.
According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.
Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.
Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.
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Solve -4 + 2t - 14 - 18t > -6 - 100t, for t in two different ways
Answer:
Step-by-step explanation:
first
-18-16t>-6-100t
-16t>-6-100t+18
-16t >-100t+12
-16t+100t>12
84t>12
t>12/84
t>1/7
On a team,8 girls and 5 boys devoted a total of 87 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 57. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and boy
Answer:
Girls: 7 points each
Boys: 11 points each
Step-by-step explanation: