Solution :
Let
[tex]$k_1$[/tex] = number of levels for the factors 'flavors' = 4
(4 levels vanilla, chocolate, red velvet and marbled)
The degree of freedom for the factor 'flavors' = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
Now defining the F test statistics for testing the significance of the factors, 'flavors' :
F test statics = [tex]$=\frac{Ms\text{ (factor falvor)}}{Ms \text{ (errors)}}$[/tex] , Ms = mean square
where F = [tex]$F_{k_1-1}$[/tex], error df.
Thus the numerator degrees of the freedom for the F test statistics to determine if the factor flavor was significant is = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
find the value of x and of the measure of the angle labeled 3x
Answer:
x is 9; angle measure is 27
Step-by-step explanation:
Rules used:
Angles on a straight line add up to 180.
Angles at a point add up to 360.
180 - 27 = 153
That is the magnitude for the angle between the 3x and 27.
180 - (45 + 27) = 108
That is the magnitude of the angle between 27 and 45.
360 - (153 + 27 + 108 + 45)
= 360 - 333
= 27
3x = 27
x = 9
FIND THE CIRCUMFERENCE OF CIRCLE A! (no outside links or ill report you)
The answer is 131.88
Step-by-step explanation:
because circumference is radius times 2 times pi (aka 3.14) so you do 21 times 2 = 42 times pi which is 131.88
4) If the area of a triangle is
72 square feet and the base is 12 feet, what is the height?
Help ASAP
Answer:
The height is 12 feet.
Step-by-step explanation:
The formula for area of a triangle is 1/2 ⋅ b (base) ⋅ h (height).
Now let's plug in the numbers.
According to the word problem, the base is 12 feet.
As of now, our equation is: 1/2 ⋅ 12 ⋅ h
The only number times 1/2 that would give you an answer of 72 is 144.
12⋅12 = 144.
This means the height is 12.
And, 1/2 ⋅ 12 ⋅ 12 ⋅ = 72.
Because the area of the triangle is 72, 72 is the number we are looking for.
Therefore, the height is 12.
I really hope this made sense, it was a bit rushed.
As Mercury revolves around the sun, it travels at a rate of approximately miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Mercury travel in seconds? In your computations, assume that mile is equal to kilometers. Do not round your answers.
Answer:
Step-by-step explanation:
There are a lot of conversion factors involved in this question.
First of all the radius of Mercury's orbit is 0.4 times that of the earth. The earth's distance from the sun is about 93 million miles. So Mercury's distance or radius is 93 * 0.4 = 37.2 million miles.
The circumference = 2 * pi * r
The circumference = 6.28 * 37200000 = 233616000 miles
This is accomplished in 88 days.
88 days [24 hours/day] * [3600 sec / hour] = 7603200 seconds
88 days = 7603200 second
Rate of travel = miles / second
Rate of travel = 233616000 / 7603200
Rate of travel = 30.726 miles / second
This number was not given so I had to derive it. The official number does not disagree a great deal from this number. It just depends on what constants you use.
1 mile = 1.6 km
30.725 miles = x Cross multiply
x = 1.6 * 30.725
x = 49.16 km/ second
I cannot go any further because you have not provided any givens. The answers do vary quite a bit because I have assumed that Mercury's orbit is a circle. It really is not. It is more like an ellipse.
The official speed in km/sec = 47 which means the answer I have given is very close. A more accurate answer would require that you put the numbers in the blanks that you were given.
help!!
differentiate
[tex] { {e}^{x} }^{2} log_{10}(2x) [/tex]
Rewrite the function using the change-of-base identity as
[tex]e^{x^2} \log_{10}(2x) = e^{x^2} \dfrac{\ln(2x)}{\ln(10)}[/tex]
Apply the product rule:
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = \left(e^{x^2}\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \left(\dfrac{\ln(2x)}{\ln(10)}\right)'[/tex]
Use the chain rule:
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(x^2\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac{(2x)'}{2\ln(10)x}[/tex]
Compute the remaining derivatives:
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = 2xe^{x^2} \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac2{2\ln(10)x} = e^{x^2}\left(\dfrac{2x\ln(2x)}{\ln(10)} + \dfrac1{\ln(10)x}\right)[/tex]
If you like, you can convert back to base-10 logarithms:
ln(2x) / ln(10) = log₁₀(2x)
1 / ln(10) = ln(e) / ln(10) = log₁₀(e)
Then
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(2x\log_{10}(2x)+\frac{\log_{10}(e)}x\right)[/tex]
What is the choice to this picture?
Answer:
4th option
Step-by-step explanation:
The points R', S', T', U' are obtained by a reflection in the line y = - 3
This is a horizontal line passing through all points with a y- coordinate of - 3
RSTU and R'S'T'U' are equidistant from this line
The graph shows the distance in miles, d, a car travels in hours. Explain why the graph does or does not represent a proportional relationship between the variables d and t.
Answer:
The graph shows a proportional relationship because t=50, and that pattern follows.
Step-by-step explanation:
The graph shows a proportional relationship because t=50, and that pattern follows.
The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
What is the speed of a body?The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.
The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, considering it for the car,
[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]
In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.
It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.
Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
Learn more about the speed here:
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When a graph line is vertical, it indicates that the relation:
Answer:
The relation has an undefined slope if the graph line is just vertical.
IS
The human population doubles
approximately every 50 years. If there
were 2,500,000 people in 1950, how
many people are forecasted to populate
the earth in 2050?
Answer:
7,500,000
Step-by-step explanation:
Basically times 2,500,000 by 3
Please help!
How much wrapping paper would you need to cover a rectangular box that is 6 inches by 8 inches by 3.5 inches?
Answer: 192 inches^2
Step-by-step explanation:
Basically what they want you to find is surface area which is adding the area of all the sides.
6*3.5*2+8*3.5*2+6*8*2=SA
42+56+96=SA
SA= 192 inches^2
A jar contains 3 blue marbles, 4 yellow marbles, and 3 green marbles.
What is the probability of randomly choosing a yellow marble, replacing
it, and then choosing a blue marble?
Answer:
3/25
Step-by-step explanation:
There are 10 total marbles
P(yellow) = yellow/total = 4/10 = 2/5
We replace it so there are 10 marbles
P(2nd marble blue) = blue /total = 3/10
Multiply the two probabilities together
P(yellow, replace, blue) =2/5*3/10 = 3/25
Answer:
3/25
Step-by-step explanation:
gvfhcfhvg fbdhuvd
What is the prime factorization of 96?
O A. 96 = 2 * 2 * 2 * 2 * 2 * 2
B. 96 = 2 x 22 x 12
O C. 96 = 2x2x2x2x2x3
O D. 96 = 2x2x2x2x3
SUBMIT
Answer:
D
Step-by-step explanation:
96 = 1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12. Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. Prime factorization: 96 = 2 x 2 x 2 x 2 x 2 x 3, which can also be written as 2⁵ x 3.
49=-7(t+1)
Simplify.
Answer:
49=7t
Step-by-step explanation:
Find the area of the following figure. Assume that all lines that appear to be parallel are parallel. Round to the nearest tenth if necessary.
Answer:
466in³
Step-by-step explanation:
Cut the figure in to two rectangles and one triangle. Draw an imaginary line like I did in the photo. Then solve the area of each one. First to solve the area of a, or the largest rectangle, multiply 29 by 10. You will get 290. Next, solve the area of b, or the small rectangle. Multiply 7 by 16, and you will get 112. Then, solve the area of the triangle. To get the length of the base of the triangle, subtract 10 and 7 from 25. The base length is 8. Solve the area of the triangle by multiplying 8 by 16 and then dividing by two. The area is 64. Finally, add all the areas. 290+112+64= 466. The area of the figure is 466in³.
please help!!! PLEASE
Answer:
a) height = 1.88 m
b) slide length = 2.92 m
Step-by-step explanation:
a) sin 70° = x/2
0.9397 = x/2
x = 1.88 m
b) sin 40° = 1.88/slide
0.6428 = 1.88/slide
slide = 2.92 m
Which two figures have the same number of bases?
cylinder and cone
triangular pyramid and cone
cone and triangular prism
triangular pyramid and cylinder
QUESTION:
Which two figures have the same number of bases?
ANSWER:
Cone and Triangular pyramid.
I just wanted the points :)
Answer:
Its B i did quiz trust me
Step-by-step explanation:
also please mark me brainliest
I need an answer! pls ill brainlist
Answer:
die
Step-by-step explanation:
so in order to die you must die
HELP PLEASE NO RANDOM ANSWERS
Answer:
1. Answer is 162 2. Answer is 159.2
Step-by-step explanation:
In the first one we calculate both triangles by using and multiply it by 2 since we have 2 triangles
then we calculate the rectangle
and then we put them all together and get the answer which is 162.
in the second one we calculate the trapezoid then rhombus, then we put them together and get our answer which is 159.2
Which expression is equivalent to 16x^4 - 64?
(4x^2 - 8)^2
(8x^2 - 32)^2
(4x^2 + 8)(4x^2 - 8)
(8x^2+32)(8x^2-32)
Answer:
3237342324=4234463284324234324-34234327432423423+2343242879485326556252434=7
Step-by-step explanation:
Name the relationship Someone please help I really need help! (NO LYING ) (NO LINKS)
Answer:
dude what relationship?
we don't see anything u need to give us clues for something
Answer:
Answer is 2 s
Step-by-step explanation:
76.0835 rounded to the nearest ten thousandth?
Answer: Its 76.0840
Step-by-step explanation: The rule is 5 or more raise the score
4 or less let it rest ;) you welcome
Find the median for the numbers Below
20 22 24 26
The median is going to be 23.
Plot the following data points.
1
4
,
3
4
, 1
1
2
, 2 , 2
1
2
, 2
1
2
, 3
1
2
Answer:
Step-by-step explan4ation:
The data points are plotted on the graph below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
We will assume the data points as,
Sales of a particular product over time.
Year Sales
2015 50
2016 100
2017 150
2118 200
2019 250
2020 300
Now,
We can make ordered pairs as,
(2015, 50), (2016, 100), (2017, 150), (2018, 200), (2019, 250), (2020, 300).
The graph of the data point are given below.
Thus,
The data points are plotted on the graph below.
Learn more about coordinates here:
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The complete question.
Sales of a particular product over time.
Year Sales
2015 50
2016 100
2017 150
2118 200
2019 250
2020 300
Plot the following data points.
what is more 2 liters or 2 deciliters
Answer:
2 liters.
Step-by-step explanation:
These measurement units are part of the metric system. Unlike the U.S. customary system of measurement, the metric system is based on 10s. For example, a liter is 10 times larger than a deciliter, and a centigram is 10 times larger than a milligram.
Hope this helps!!<333
Answer:
a liter is 10 times larger than a deciliter, so yes, it is more.
pleaseee!! ur help means a lot
Answer:
just use scan your question with camera. the problem is in brainly already. :)
HELPPPPPPPPPPPPPPPPPPPP
Answer:
13 - 20
Step-by-step explanation:
That is definitely correct
Find the measure of <4.
44
158°
s
* 4 = [?]
Enter
Answer:
22°Step-by-step explanation:
∠4 and 158° are supplementary as same side interior angles
m∠4 + 158° = 180°m∠4 = 180° - 158° = 22°Answer:
[tex]<4+<158=180[/tex][co- interior angle]
<4=180-158=22°
<4=22°
You're the bus driver the bus driver pick up 50 kids and then drops off 25 how old is the bus driver???
Answer:
25
Step-by-step explanation:
25
Well the amount of kids on the bus is 25 left but I don't know how old the buss drivers is
Helpppppp me confused
Answer:
A = 4.5
B = 40.5
C = 4π or 12.566
D = 16
Step-by-step explanation:
A
6 x .5 = 3
3 x .5 = 1.5
1.5 x 3 = 4.5
B
12 x 3/4 = 9
1/2 (9)(9) = 40.5
C
8 x .25 = 2
π2² = 4π or 12.566
D
24 x 1/3 = 8
6 x 1/3 = 2
2 x 8 = 16
what is the volume of the cylinder in terms of n?
