Answer:
Sum of Squares=50.5
Treatment Sum of Squares, 4.5
Error Mean Squares, 0.3
Treatment Mean Squares 0.9
Error Sum of Square = 3
Step-by-step explanation:
Given data
Observation A B C
1 8 7 10
2 7 7 11
3 6 6 10
4 7 6 9
5 8 7 10
6 6 6 10
A B C Row total (xr)
1 8 7 10 25
2 7 7 11 25
3 6 6 10 22
4 7 6 9 22
5 8 7 10 25
6 6 6 10 22
Col total (xc) 42 39 60 141
Using calculator for summarizing data
∑x²=1155 ⇒(A)
∑x²c/r=16(42²+39²+60²)
=1/6(1764+1521+3600)
=1/6(6885)
=1147.5⇒(B)
∑x²r/c=13(25²+25²+22²+22²+25²+22²)
=1/3(625+625+484+484+625+484)
=1/3(3327)
=1109⇒(C)
(∑x)²/n=(141)²/18
=19881/18
=1104.5⇒(D)
Sum of squares total
SST=∑x²-(∑x)²/n=(A)-(D)
=1155-1104.5
=50.5
Sum of squares between rows
SSR=∑x²r/c-(∑x)²/n=(C)-(D)
=1109-1104.5
=4.5
Sum of squares between columns
SSC=∑x²c/r-(∑x)²n=(B)-(D)
=1147.5-1104.5
=43
Sum of squares Error (residual)
SSE=SST-SSR-SSC
=50.5-4.5-43
=3
ANOVA table
Source Sums Degrees of Mean Squares
of Variation of Squares freedom F- value
SS DF MS
Between Treatments SSR=4.5 r-1=5 MSR=0.9 3
Between Blocks SSC=43 c-1=2 MS =21.5 71.6667
Error (residual) SSE=3 (r-1)(c-1)=10 MSE=0.3
Total SST=50.5 rc-1=17
Which table matches with the linear equation y = - 2x - 3?
X-
20
-1-3
35
0-8
X-2-1
y 1-1-5
4
-11
2
X-4-1
y 1-2 3
-5
X
-503 6
2 -3 -6-9
y
Answer:
b
Step-by-step explanation:
What is the area?
4.6 yd
7.7 yd
Answer:
A = 35.42 yd²
Step-by-step explanation:
We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.
The area of a rectangle shaped figure is given by :
A = lb
Where
l is length and b is the breadth
So, put all the values,
A = (4.6)(7.7)
= 35.42 yd²
So, the area of the figure is equal to 35.42 yd².
The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?
Answer:
Perimeter of rectangle EFGH = 24 unit
Step-by-step explanation:
Given:
E: (4,2)
F: (10,2)
G: (10,8)
H: (4,8)
Find:
Perimeter of rectangle EFGH
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between EF = √(4 - 10)² + (2 - 2)²
Distance between EF = √36
Distance between EF = 6units
Distance between FG = √(10 - 10)² + (2 - 8)²
Distance between FG = √36
Distance between FG = 6 units
Distance between GH = √(10 - 4)² + (8 - 8)²
Distance between GH = √36
Distance between GH = 6 units
Distance between HE = √(4 - 4)² + (8 - 2)²
Distance between HE = √36
Distance between HE = 6 units
Perimeter of rectangle EFGH = 6 + 6 + 6 + 6
Perimeter of rectangle EFGH = 24 unit
Line A contains the points (– 6, – 3) and (– 2, – 1). Line B contains the points (8, 2) and (12, 4).
How many solutions does the system of equations have?
Answer:
One Answer
Step-by-step explanation:
Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.
4-2/12-8 = 4/2 = 2.
Then that another point and plug it in to the equation, y = 2x + b.
i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.
now you found your answer. y=2x + -14.
Which of the following rational numbers can be multiplied by two and result in a number greater than two?
A: 5/6 B:8/9 C:9/8 D: 11/12
If one side of a cube measures x cm what is the volume
Answer:
The volume is x times x times x which is x^3 :)
Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.
Answer:
b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.
For angle θ, the dimension of the triangle will be,
Perpendicular = 16
Base = 12
Hypotenuse = 20
Now, the measure of cos(θ) will be,
Cos(θ) = Base / Hypotenuse
= 12 / 20
= 6 / 10
= 0.6
Hence, the value of cos(θ) in the given triangle is 0.6.
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A passenger must climb 7 steps to a platform to enter the gondola. Each step is 7.5 inches. What would the equation of the ferris wheel circle be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the ferris wheel.
Answer:
55
Step-by-step explanation:
The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
What is Ferris wheel?A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.
What is the standard equation of the circle?The standard equation of the circle is
[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
Where,
(h, k) is the center of the circle
and, r is the radius of the circle
According to the given question.
The diameter of the Ferris wheel is 200 feet
[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]
Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet
Therefore,
[tex]k = 4.375+100 = 104.375feet[/tex]
and
[tex]h = 0[/tex]
Therefore, the equation of the Ferris wheel circle is
[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
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Plz write/type the answers, I pray u can help
Which expression is equivalent to 1/5(150x - 80y + 50 - 50x - 25y + 20)?
Answer:
20x - 21y + 14
1/5(150x - 80y + 50 -50x - 25y + 20)
30x -16y + 10 - 10x - 5y + 4
30x -10x -16y - 5y + 10 + 4
20x -21y + 14
Answer:
20x-21y+14
Step-by-step explanation:
add up like terms and divide them by 5
Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)
Answer:
Two additional solutions are:
(21, 1/3)
(17, 5/3)
Step-by-step explanation:
We have the equation:
x + 3*y = 22
Now we want to find two solutions (x, y).
To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.
Let's isolate x.
x = 22 - 3*y
Now we can change the value of y by a known value, and then solve the equation for x.
For example, if we define:
y = 1/3
then:
x = 22 - 3*(1/3)
x = 22 - 1 = 21
x = 21
Then the point (21, 1/3) is a solution of the equation.
Now let's input another value of y, for example, we can use y = 5/3
(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.
x = 22 - 3*(5/3)
x = 22 - 5
x = 17
Then the point (17, 5/3) is a solution of the equation.
Evaluate (a3)4
What is the answer please?
Answer: -3 to the fourth power means we are multiplying -3 four times. Hence answer is 81 and not -81
Step-by-step explanation:
If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?
Answer:
20 days
Step-by-step explanation:
0.25 pound of food is eaten in 1 day
1 pound of food is eaten in 1 / 0.25
5 pound of food is eaten in 5/0.25 = 20 days
How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form
y=2/3x-2
Explanation:
The equation of a line can be written as y=mx+c
m=slope and c = y-intercept
The point at the x−intercept has coordinates (-3,0)
In y=mx+c
0=2/3(3)+c
0=2+c
-2=c
The equation is y=2/3x-2
Answer:
[tex] y = \frac{2}{3} x - 3[/tex]
Step-by-step explanation:
Slope (m) = 2/3
y-intercept (b) = - 3
Equation of line in slope intercept form is given as:
[tex] y = mx + b[/tex]
Plug the values of m and b in the above equation, we find:
[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]
Please help me 7th grade math
Answer: 1/8
Step-by-step explanation: hoped this helped :))
1. find the greatest mass
that can be taken on exact
number of times from 360g
504g, and 672 g
Answer:
72g
Step-by-step explanation:
I hope it's right I figured it out by common factor
Mrs.Kenny teaches a ceramics class.She finds that she has 7/8 pounds of clay for a project. The project requires 1/6 of a pound.How many projects can Mrs.Kenny complete withought running out of clay
PLS FAST
Six scatterplots are shown. Suppose regression lines were generated for them, then order their correlation coefficients from least to greatest.
A) C, D, B, A, E, F
B) F, E, D, C, B, A
C) C, B, D, E, A, F
D) A, B, C, D, E, F
Answer:
C) C, B, D, E, A, F
Step-by-step explanation:
The closer the data points are to each other along the line of best fit on a scatter plot, the greater the correlation coefficient and vice versa.
Therefore, the scatter plot that has the least correlation coefficient would be the scatter plot with the data points that are farther apart from each other along the line of best fit which is C, followed by B, D, E, A, and F.
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate
Answer:
$15 / hr
$450 / week
Step-by-step explanation:
30 h x 52 w = 1560 hrs
$23400 / 1560 = $15 / hr
$15 * 30 hrs = $450 / week
A pair of jeans is on sale for $30, 25% off the original price. What is the original price?
Step-by-step explanation:
Let $p be the original price.
[tex](1 - 25\%)p = 30 \\ \frac{75}{100}p = 30 \\ p = 40[/tex]
∴ The original price is $40.
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent
Answer:
The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars
Step-by-step explanation:
The surface area of cylinder will be equivalent to the area of the steel sheet.
Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]
Substituting the given values we get
Surface area of cylinder
[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter
Cost of 1 square meter of steel is $27
Then, the cost of required steel is
[tex]169.56 *27 = 4578.12[/tex] dollars
A cube has an A on 3 sides and a B on 3 sides. Rolling it 50 times results in 17 A's and 33 B's.
Using this observed probability, how many A's would be rolled in 750 tries?
Two rectangular prisms have the same volume.the first prism has a length of 10 meters a width of 6 meters and a height of 2 meters. The second prism has a length of 6 meters and a width of 4 meters
Answer:
height of second rectangular prism is 5 meters
Step-by-step explanation:
PLZZZZZZ IL do anything give brainilest 5 star i'll like My grade depends on this PLEASE I NEED THIS TO BE CORRECT AND SHOW YOUR WORK PLZ NO TROLLSSSS PLZZZZ ANSWER CORRECT
Answer:
$195.00
Step-by-step explanation:
perimeter is 54 feet
area is 152 [tex]ft^{2}[/tex]
54' * $1.50 = $81.00
152/8 = 19 bags of mulch needed
19*$6.00= $114.00
$195.00 you get away from the store for under 200 :P
P.S. since you said you'll do anything, send me $1,000,000.00 dollars :D
Jana wants to buy a shirt at the store. The shirt is normally $24, but today it is on sale for 15% off.
How much will she save?
Answer:
She will save $3.60
Step-by-step explanation:
10% of 24= 2.4
5% of 24 = 1.2
2.4 + 1.2= 3.6
This means she is saving $3.60 because 15% of $24 is $3.60! :)
Jana save $3.6 to buy a shirt.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The shirt is normally $24, but today it is on sale for 15% off.
Now,
Since, The shirt is normally $24, but today it is on sale for 15% off.
Hence, The save money = 15% of 24
= 15/100 × 24
= $3.6
Thus, She save $3.6 on the shirt.
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Kelko wrapped 20 gifts. Keiko wrapped 4 times as many gifts as Henry. Let be the number of gifts that Henry wrapped.
(a) Write an equation that relates the number of gifts that they wrapped.
Use 4, 20, and n.
(b) Find n.
2
Answer:
20 = 4n
n = 5
Step-by-step explanation:
Given that :
Number of gifts Keiko wrapped = 20
Let number of gifts wrapped by Henry = n
Keiko wrapped 4 times as many gifts as Henry
Hence,
20 = 4n
The equation that relates the number of gifts wrapped is :
20 = 4n
To obtain n ;
Divide both sides by 4 to isolate n
20/ 4 = 4n / 4
5 = n
Hence,
n = 5
Alternate interior angles. if you are good at that help
Answer:
hi
Step-by-step explanation:
i think so,
(5x-54)⁰=(3x+16)⁰
5x-3x=16+54
2x=70
x=35⁰
3x+16=3×35+16=121
5x-54=5×35-54=121
hope it helps
have a nice day
Answer:
x = 35
The angles measure 121°
Step-by-step explanation:
Alternate interior angles are congruent. So,
3x + 16 = 5x - 54
16 = 2x - 54
70 = 2x
x = 35
Now, to find the angle measures, just plug in the value for x.
3(35) + 16 = 121°
5(35) - 54 = 121°
Brianna measures the temperature of two chemical samples. If the first sample measures -8 degrees Celsius and the second sample measures 24 degrees Celsius, what is the average temperature of the two samples? *
Answer: + 8 degrees
Step-by-step explanation: average (-8+24)/2= 16/2 degrees
A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).
Answer:
Critical value ≈ 1.299
Step-by-step explanation:
number of Kidney transplant ( n ) = 49
Determine the critical value for the test
the sample mean = ∑ failure time / n = 1252.28 / 49 = 25.56
next we determine the standard deviation of the sample
s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126
standard error = s / √n = 17.3126 / 7 = 2.4732
Given a significance level of 0.1
df (degree of freedom ) = n -1 = 49 - 1 = 48
∝ = 0.1
critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot
100 points i just need helpp
Answer:
5sqrt(5) = q
-5sqrt(5) = q
Step-by-step explanation:
f(q) = q^2 -125
To find the roots set the equation equal to zero
0 = q^2 -125
Add 125 to each side
125 = q^2 -125+125
125 = q^2
Take the square root of each side
±sqrt(125) = sqrt(q^2)
±sqrt( 5*25) = q
±sqrt( 25)* sqrt(5) = q
±5* sqrt(5) = q
±5sqrt(5) = q
Answer:
Guy above deserves brainliest
Step-by-step explanation:
