Answer:
1. The p-value for Factor A is:__0.4194________. e. greater than0 .10
2. What is your conclusion with respect to Factor A?b. Factor A is not significant
3. What is your conclusion with respect to Factor B?b. Factor B is not significant
4. The p-value for the interaction of factors A and B is:__0.1621_____.e. greater than .10
5. There is no effect of decreasing the waiting time and changing the loading and unloading methods between the rides.
Step-by-step explanation:
Performing 2 way ANOVA
Observation A B C
1 41, 43, 49 52, 44, 46 50, 46, 48
2 49, 50, 48 50, 46, 48 48, 44, 46
Row and column sums
A B C Row total (xa)
1 133 142 144 419
2 147 144 138 429
Col total (xb) 280 286 282 848
∑x²=412+432+492+...+482+442+462=40088→(A)
∑x²b/ra =1/3⋅2(280²+286²+282²)
=1/6(78400+81796+79524)
=1/6(239720)
=39953.3333→(B)
∑x²a/rb=1/3⋅3(419²+429²)
=1/9(175561+184041)
=1/9(359602)
=39955.7778→(C)
∑∑x²ab/r=
1/3(133²+142²+144²+147²+144²+138²)
=1/3(17689+20164+20736+21609+20736+19044)
=1/3(119978)
=39992.6667→(C)
(∑x)²/rab
=(848)²/3⋅2⋅3
=719104/18
=39950.2222→(D)
Sum of squares total
SST=∑x²-(∑x)²/n
=(A)-(D)
=40088-39950.2222
=137.7778
Sum of squares between rows
SSA=∑x²a/rb-(∑x)²/n
=(C)-(D)
=39955.7778-39950.2222
=5.5556
Sum of squares between columns
SSB=∑x²b/ra- (∑x)²/n
=(B)-(D)
=39953.3333-39950.2222
=3.1111
Sum of squares between columns
SSAB=∑∑x²ab/r-(∑x)²/n-SSA-SSB
=(B)-(D)-SSA-SSB
=39992.6667-39950.2222-5.5556-3.1111
=33.7778
Sum of squares Error (residual)
SSE=SST-SSA-SSB-SSAB
=137.7778-5.5556-3.1111-33.7778
=95.3333
ANOVA table
Source Sums Degrees Mean Squares
of Variation of Squares of freedom
SS DF MS F p-value
A SSA=5.5556 a-1=1 MSR=5.5556 0.6993 0.4194
B SSB=3.1111 b-1=2 MSC=1.5556 0.1958 0.8247
AB SSAB=33.7778 2 MSAB=16.8889 2.1259 0.1621
Error (residual)SSE=95.33 12 MSE= 7.9444
Total SST=137.7778 17
Conclusion:
1. F for between columns
The critical value F(1,2) at 0.05 level of significance is 4.7472
As calculated FR=0.6993<4.7472
H0 is accepted, there is no significant difference between rows.
P value is 0.4194 > 0.05 we fail to reject H0
2. F for between columns
The critical value F(2,2) at 0.05 level of significance is 3.8853
As calculated FC=0.1958<3.8853
H0 is accepted there is no significant difference between columns.
P value is 0.8247 > 0.05 we fail to reject H0
3. Interaction between the Factors AB
There is not sufficient evidence to support the claim of interaction between factors.
P value is 0.1621 > 0.05 we fail to reject H0
the question is in the picture
Answer:
Correct option is c, -15
Plz help me well mark brainliest if correct....................................................!??????pppppppppppppppppppppppppppppppplllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
71
Step-by-step explanation:
cumulative means all together
pls pls help i realy need help
Answer:
a <= 3
Step-by-step explanation:
need help please someone
Answer:
56.55
Step-by-step explanation:
Solution
V=
π
r
2
h
=
π
3
2
2
≈
56.54867
You are going to use an incline plane to lift a heavy object to the too of shelving unit with a height of 7 ft. The base if the incline plane is 26 ft from the shelving unit. What is the length of the incline plane? FAST HELPPP MEE PLEASEE IM STUCK
Answer:
17.46 ft
Step-by-step explanation:
The inclined plane is in the shape of a right triangle, therefore we can use the Pythagorean theorem to find the length of the inclined plane. The formula for this theorem is the following
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where a and b are the two sides and c is the hypotenuse/inclined side. Therefore, we can simply plug in the lengths of the two sides into the formula and solve for c.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]7^{2} + 16^{2} = c^{2}[/tex]
[tex]49 + 256 = c^{2}[/tex]
[tex]305 = c^{2}[/tex] ... square root both sides
17.46 = c
If students can major either in Humanities or Sciences, which fact establishes that the observation "a student is male" is independent from the observation "a student is a Science major"?
A. As many males major in Humanities as in Sciences.
B. As many males as females major in Sciences.
C. Males constitute the same fraction of students majoring in Humanities as in Sciences.
D. The fraction of males among the students majoring in Humanities is equal to the fraction of females among the students majoring in Sciences.
Are all cones similar?
Answer: all cones with the same height are always similar. False... radii could differ. ... Doubling the radius of a sphere doubles its surface area.
Step-by-step explanation:
1
How does the graph of g(x) =
X+4
-6
compare to the graph of the parent function RX)=
- ?
g(x) is shifted 4 units right and 6 units up from f(x).
O g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
O g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
[tex]g(x) = f(x+4) - 6[/tex]
Transformation 1:
[tex]g(x) = f(x+4)[/tex]
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
[tex]g(x) = f(x+4) - 6[/tex]
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
12. The temperature was –3° C last night. It is now 4° C. What was the
change in temperature?
Answer:
7
Step-by-step explanation:
-3 + 3 = 0
0 + 4 = 4
4 + 3 = 7
Answer:
[tex]7^\circ\text{C}[/tex]
Step-by-step explanation:
Calculate second temperature minus the first one.
4 - (-3) = 4 + 3 = 7
Find the slope
2/3
-2/3
3/2
-3/2
4m 2+ m - 17 = 0 how to solve step by step
Answer:
The solutions for this quadratic equation are [tex]m_1 = 1.94, m_2 = -2.19[/tex]. Bhaskara was used to solve.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
We have the quadratic equation:
[tex]4m^2 + m - 17 = 0[/tex], which has [tex]a = 4, b = 1, c = -17[/tex].
Then
[tex]\Delta = (1)^{2} - 4(4)(-17) = 273[/tex]
[tex]m_{1} = \frac{-1 + \sqrt{273}}{8} = 1.94[/tex]
[tex]m_{2} = \frac{-1 - \sqrt{273}}{8} = -2.19[/tex]
The solutions for this quadratic equation are [tex]m_1 = 1.94, m_2 = -2.19[/tex]. Bhaskara was used to solve.
500
53°
옷
62°
800
Upkkhekydkhhdkhd
9514 1404 393
Answer:
x = 65
Step-by-step explanation:
Label the two points where the diagonal lines intersect the baseline A and B, with A on the left.
Obtuse angle A is the sum of the remote interior angles 53° and 80°, so is 133°. Obtuse angle B is the sum of the remote interior angles 50° and 62°, so is 112°. Angle x° is the third interior angle of the small triangle, so is ...
x° = 180° -(180° -133°) -(180° -112°) = 133° +112° -180° = 65°
x = 65
PLEASE HELP! (100 points)
Jose simplified an expression as shown below:
Given: x+3+7(x-5)
Step 1: x+3+7x-5
Step 2: 8x+3-5
Step 3: 8x-2
In which step did Jose make a mistake? What should he have done instead?
Answer:
8x-32
Step-by-step explanation:
Distribute 7 through the parenthesis
x+3+7(x-5)
=x+3+7x-35
Collect the like terms
x+3+7x-35
=8x+3-35
Calculator the difference
8x+3-35
=8x-32
He didn't followed the parentheses method from the beginning itself.
Hope it helps.
PLZ HURRY I GOT A TIME LIMIT
Answer:
pretty sure it's B
Step-by-step explanation:
origin - (0,0)
right 4x - (4,0)
up5x-(4,5)
Find the volume of the prism below if each cube has a side length of 1/8 of a foot
Answer:
[tex]Volume = \frac{3}{128}ft^3[/tex]
Step-by-step explanation:
Given
[tex]Length = 1\ cube[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]1\ cube = \frac{1}{8}ft[/tex]
Required
The volume of the cube
Start by calculating the dimension in ft
[tex]Length = 1\ cube[/tex]
[tex]Length = 1 * \frac{1}{8}ft[/tex]
[tex]Length = \frac{1}{8}ft[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Width = 3 * \frac{1}{8}ft[/tex]
[tex]Width = \frac{3}{8}ft[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]Height = 4 * \frac{1}{8}ft[/tex]
[tex]Height = \frac{1}{2}ft[/tex]
So, the volume is:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = \frac{1}{8}ft * \frac{3}{8}ft * \frac{1}{2}ft[/tex]
[tex]Volume = \frac{1}{8} * \frac{3}{8} * \frac{1}{2}ft^3[/tex]
Using a calculator, we have:
[tex]Volume = \frac{3}{128}ft^3[/tex]
Find the measure of the arc indicated.
Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each. They had a coupon for $2.00 off their purchase. They split the remaining cost equally. Which expression could be used to find the amount each person paid?
Answer:C. [12.35+(2.25x3)-2]÷3
Can someone help me solve -x+6=1.
Answer:
x=5
Step-by-step explanation:
-x+6=1
-x=1-6
-x=-5
x=5
Find the lenght of c using the Pythagorean theorem
Answer:
the Pythagorean theorem states:
a^2 + b^2 = c^2
in your case a=14 and b=48
Step-by-step explanation:
14^2 + 48^2 = c^2
14x14 + 48x48 = c^2
(196 + 2304 = 2500)
2500 = c^2
√2500 = c
50 = c
Final answer: 50
Solve the quadratic function by completing the square. What are the missing pieces in the steps?
-32 = 2(x2 + 10x)
-32 + = 26x2 + 10x +25)
18 = 2(x + 5)2
9 = (x + 5)2
=X+5
x = -2 or x =
Answer:
Step-by-step explanation:
Given quadratic equation is,
-32 = 2(x² + 10x)
-32 + 50 = 2(x² + 10x + 25)
18 = 2(x + 5)²
9 = (x + 5)²
± 3 = (x + 5)
x = -2 or x = -8
26 30 45 43 26
14 28 33 56 29
What is the mean of the data set?
26+30+45+43+26+14+28+33+56+29 = 330
330/10 (numbers) = 33!
Answer:
33
Step-by-step explanation:
add up all the numbers and divide by how many numbers there are.
USING A2+B2=c2
For the following right triangle, find the side length x.
DELL
Answer:
[tex]x=15[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse), a and b are the other sides of the right angled triangle.
In this question, c is labelled as [tex]x[/tex].
Therefore, we can use the theorem to find [tex]x[/tex].
[tex]x^2 = a^2+b^2[/tex]
So, substitute in the other sides and solve for [tex]x[/tex].
[tex]x^2 = (9)^2 + (12)^2\\x^2 = 81 + 144\\x^2 = 225\\x = 15[/tex]
We can see the answer is correct because it is meant to be the largest side and [tex]15> 12>9[/tex].
Identify the local minimum for the function shown.
12 m
Find the area
of this figure.
15 m
ա 8
sq. meters
5 m
5 m
Answer:
164 hope it helps have a great day Mark me as
which system of equations does this graph represent?
1) y=x^2-5
y=-x+1
2) y=x^2-5
y=-x-1
3) y=x^2+5
y=-x+1
4) y=x^2+5
y=-x-1
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Someone help
A statistican is analyzing data to find a model. She has determined the following characteristics of the data. Which characteristics of the data defines the period?
Explanation:
The period of a function measures how long a cycle takes. Think of tides on a beach. There's a regular pattern that can be predicted whether its high tide or low tide. Time is often the critical component with the period. Since choice D mentions time and the key term "repeat", this is why it's the answer.
The other values, while useful elsewhere, aren't going to tell us anything about the period. The initial value being 5 doesn't tell us when y = 5 shows up again, and if the function is repeating itself at this point or not. So info about choice A is not sufficient to determine the period. The same goes for choices B and C as well.
What is the midpoint of the line segment with endpoints (1,2) and (7,8)?
Answer:
(4,5)
Step-by-step explanation:
Use the midpoint formula
(( x1 + x2)/2, (y1 + y2)/2 )
A force of 350 pounds is resolved into component forces. If it makes an angle of 67° with the horizontal, find the larger component. 322 lb 235 lb 137 lb 380 lb
Answer: [tex]322\ lb[/tex]
Step-by-step explanation:
Given
The magnitude of the force [tex]F=350\ \text{Pounds}[/tex]
The force makes an angle of [tex]67^{\circ}[/tex] with the horizontal
So, the components of the force are
[tex]\Rightarrow F\cos 67^{\circ}, F\sin 67^{\circ}\\\Rightarrow F\cos 67^{\circ}=350\cos 67^{\circ}\\\quad \quad =136.75\ lb\\\text{Similarly, }\\\Rightarrow F\sin 67^{\circ}=350\sin 67^{\circ}\\=322.17\ lb[/tex]
The larger among the two is [tex]F\sin 67^{\circ}[/tex] i.e. [tex]322\ lb[/tex]
Find all angles, 0° =
of a degree (if necessary).
10 sin A + 16 = 3 sin A +9
pls help
Answer:
-13
Step-by-step explanation:
х
The table of values below represent an exponential function. Write an exponential equation that models the data.
у
-2 23
-1 16.1
0 11.27
1 7.889
2 5.5223
a.
y = 23(0.7)
y = 16.1(1.7)
C. y = 11.27(0.7)
d.
y = 11.27(1.3)
b.
9514 1404 393
Answer:
C. y = 11.27(0.7^x)
Step-by-step explanation:
The table value (x, y) = (0, 11.27) tells you the multiplier of the exponential term will be 11.27. The decreasing values tell you the base of the exponential term is less than 1. Only answer choice C matches these requirements.