For level 1, E(y) = 10.2; For level 2, E(y) = 10.2 - 4X; For level 3, E(y) = 10.2 + 12X2; For level 4, E(y) = 12.2. To test whether E(y) is the same for all four levels, use an ANOVA test with H0: B1 = B2 = B3 = 0 and Ha: at least one Bi is not equal to 0.
Based on the given model, we have
E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃
where x₃ = if level 4, 0 if not, x₂ = if level 3, X₂, 0 if not, and x₁ = if level 2, X, 0 if not.
The coefficients are
B₀ = 10.2
B₁ = -4
B₂ = 12
B₃ = 2
For level 1, x₁ = x₂ = x₃ = 0, so E(y) = B₀ = 10.2.
For level 2, x₁ = X, x₂ = x₃ = 0, so E(y) = B₀ + B₁x₁ = 10.2 - 4X.
For level 3, x₂ = X₂, x₁ = x₃ = 0, so E(y) = B₀ + B₂x₂ = 10.2 + 12X₂.
For level 4, x₃ = 1, x₁ = x₂ = 0, so E(y) = Bo + B₃ = 12.2.
To test whether E(y) is the same for all four levels of the independent variable, we can use an analysis of variance (ANOVA) test. The null hypothesis is that there is no significant difference in the mean values of y across the four levels, and the alternative hypothesis is that there is at least one significant difference. Mathematically,
H0: B₁ = B₂ = B₃ = 0
Ha: at least one Bi is not equal to 0
We can use an F-test to test this hypothesis.
To know more about alternative hypothesis:
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60/100 is equivalent to what fraction ? Multiple choice.
60/80
6/10
2/5
4/5
f(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f
tentukan :
A. infers fungsi F
B. Nilai dari f^-1 (-3)
Answer:
The answer are
A.
[tex] {f}^{ - 1} (x) = \frac{x + 3}{x - 2} [/tex]
B.
[tex] {f}^{ - 1} ( - 3) = 0[/tex]
Step-by-step explanation:
To find the infers we do that
[tex]f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0[/tex]
Put the numbers in order from smallest to largest
-10,-1,0,10,1
Answer:
The order is (-10,-1,0,1,10)
Answer:
-10 -1 0 1 10
Step-by-step explanation:
as -10 is smaller than -1 is because the negative numbers keep getting smaller as they progress for example 1 and 10 which is bigger it is ofc 10 but I negative numbers its quite the opposite hope this helps
A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent?
Answer:
65.5 feet per second
Step-by-step explanation:
In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...
6,039 - 3,288 = 2,751 ft
Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.
2,751 ft / 42s = 65.5 ft/s
Finally we can see that the rate of descent was 65.5 feet per second
can someone help right away!! please!!
Answer:
y = - 2x + 1
Step-by-step explanation:
Substitute an x value from the table into the equation
x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1
x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7
Then equation describing the relationship is
y = - 2x + 1
8.please help this is timed !!!
Answer:
X=4
Step-by-step explanation:
x+y=6
(+)x-y=2 (Add to get rid of y's)
2x=8
2x/2=8/2
x=4
Due in a few minutes-please help me solve these geometry problems!!!
Answer:
You must be 65.3 ft. closer
Step-by-step explanation:
The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.
By the definition of tangent:
tan(25)=50/x
Solve for x
x=50/tan(25)=107.225
The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.
By the definition of tangent:
tan(50)=50/y
Solve for y
y=50/tan(50)=41.955
The difference between x and y is how much closer to the tree you must be.
x-y=65.27
Calculate the values of angles A and C of triangle ABC, where b =17.23cm,c=10.86cm and B=10 1 degree 15
Answer:
C = 38.18°; A = 40.57°
Step-by-step explanation:
B = 101' 15"
B = 101° + (15/60) = 101 + 0.25 = 101.25°
b =17.23cm,c=10.86cm
From Sine rule :
c/ sin C = b / Sin B
10.86 / sin C = 17.23 / sin 101.25
SinC = (sin 101.25 * 10.86) / 17.23
Sin C = 10.651328 / 17.23
Sin C = 0.6181850
C = Sin^-1(0.6181850)
C = 38.183716
C = 38.18°
Sum of angles in a triangle = 180°
A + B + C = 180°
A + 101.25° + 38.18° = 180°
A = (180 - (101.25 + 38.18))
A = 40.57°
A plane flew 1,236 miles in 4 hours.what was the planes average speed (rate) in miles per hour?
Answer:
309 miles per hour
Step-by-step explanation:
Divide the total distance traveled by the time. So the answer is 1236 miles divided by 4 hours, or 309 miles per hour
what’s the slope_____
Answer:
-4
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).
[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]
Simplify the fraction
[tex]= -4[/tex]
Therefore, the slope of the line is equal to -4.
I hope this helps!
Omh pls help me 6thh grade math it's do in 10 mins
Answer:
1. 42
2. d cuz it has nothing-
3. A
all im saying cuz ik u can do this
Answer:
number 1 is 52% i am goin through them
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
0.3 km ≈ ? mi
Answer:
0.186 mile rounded = 0.19
Step-by-step explanation:
the answer is 0.19
Penelope was reading a book at a rate
of 1.2 pages per minute. At that rate,
how many pages can Penelope read in
5 minutes?
I NEED THIS LIKE NOWW IT FOR A TESTTT
Answer:
Penelope can read 6 pages in 5 minutes.
Step-by-step explanation:
You would use the equation 1.2x = P
P=how many pages x=how many minutes
1.2(5) = 6
She can read 6 pages in 5 minutes
Please help quick will give brainliest!
Answer:
The statement that correctly uses limits to determine the end behavior of f(x) is;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0
Step-by-step explanation:
The given function is presented here as follows;
[tex]f(x) = \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]
The limit of the function is presented as follows;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]
Dividing the terms by x², we have;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{\dfrac{7 \cdot x^2}{x^2} + \dfrac{x}{x^2} + \dfrac{1}{x^2} }{\dfrac{x^4}{x^2} +\dfrac{1}{x^2} }= \lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} }[/tex]
As 'x' tends to ±∞, we have;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} } = \lim\limits_{x \to \pm \infty} \dfrac{7 + 0 + 0 }{x^2 +0 } = \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]
However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;
Therefore, we have;
[tex]f(x) \rightarrow 0 \ as \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]
The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0.
A number of complaints were received from the users saying that the pencil was sliding on
paper and therefore it had become difficult to write. What is the probable reason for this?A number of complaints were received from the users saying that the pencil was sliding on
paper and therefore it had become difficult to write. What is the probable reason for this?
Answer:
Graphite is a form of carbon.
Step-by-step explanation:
Pencils are usually made from graphite and clay.
Now, graphite is a from of carbon and as such it is soft due to the weak intermolecular forces it possesses in between it's layers. Therefore if the graphite is increased, this will make the pencil not to be hard enough when writing and easily slide.
Help me 20 points please help me
Answer:
Rational: 4.2, -11/5, 0.36
Irrational:
[tex] \sqrt{ \frac{1}{4} } [/tex]
[tex] \sqrt{8} [/tex]
[tex]\pi[/tex]
[tex] \sqrt{ \frac{3}{4} } [/tex]
Step-by-step explanation:
Hope this Helped
d. How much of each ingredient would you need to make an identical recipe that serves 18 people?
Cora paid 16/100 of a dollar to buy a postcard from Grand Canyon National park in Arizona. What is 65/100 written as a
decimal in terms of dollars?
Answer:
$.65 (sixty five cents)
Step-by-step explanation:
How many
many inches long is the base of the building in the drawing?
[tex] \huge \purple{\tt{Answer:}} [/tex]
5 inches
OR15 feet
Acil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️
Answer:
hai :D
Step-by-step explanation:
Also try D
25×2,06 5,2×7,6
4,002×35 45,07×5,1
103×2,12 3,02×0,25
12,5×11 7,52×6,002
Answer:
25×2,06 5,2×7,6
4,002×35 45,07×5,1
103×2,12 3,02×0,25
12,5×11 7,52×6,002
Step-by-step explanation:
;lfk;dlj
Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),
Answer:
10
Step-by-step explanation:
Laura deposited $12,000 into an account that earns 8% interest. How much money will
she have in 5 years if the interest is compounded quarterly?
9514 1404 393
Answer:
$17,831.37
Step-by-step explanation:
The compound interest formula is useful.
A = P(1 +r/n)^(nt)
A = $12,000(1 + .08/4)^(4·5) = $12,000(1.02^20)
A = $17,831.37
Laura will have $17,831.37 in 5 years.
Lara made some chocolate tarts for every 5 cups of chocolate chips she added 3 cups of sugar.What is the ratio of chocolate chips into the sugar?
Answer:chocolate chips : Sugar
5 : 3
Step-by-step explanation:
A ratio tells us the relationship between 2 or more items, explaining how many times the value of one item is contained in another and denoted as either a/b, a to b or a:b.
Here, Lara made chocolate tarts , For every 5 cups of chocolate chip, 3 cups of sugar are added, Therefore the ratio of chocolate chips to sugar is expressed as
chocolate chips : Sugar
5 : 3
can someone help :) i am d^mb ok
Answer:
answer is
32x2=64
16x4=64
4×3=64
what is the centimeters per hour. PICTURE. I REALLY NEED HELP
Answer:
1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).
Step-by-step explanation:
1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).
Hurry please will mark brainliest!!!!!
Answer:
C
Step-by-step explanation:
brianliest :3
help me please i’ll mark brilliant
Answer:
Yes
Step-by-step explanation:
99 times 44 take 99 add 19 what does it equal
Answer:
The answer is 4,276
I hope it helps
Solve the system of equations.
−10y+9x=−9
10y+5x=−5