Answer:
H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples
Step-by-step explanation:
A B C D E
2.58 2.63 2.13 2.41 2.49
∑A=2.58 ∑B=2.63 ∑C=2.13 ∑D=2.41 ∑E=2.49
A² B² C² D² E²
6.6564 6.9169 4.5369 5.8081 6.2001
∑A²=6.6564 ∑B²=6.9169 ∑C²=4.5369 ∑D²=5.8081 ∑E²=6.2001
Calculations
Group A B C D E Total
N n1=1 n2=1 n3=1 n4=1 n5=1 n=5
∑xi T1=2.58 T2=2.63 T3=2.13 T4=2.41 T5=2.49 ∑x=12.24
∑x²i 6.6564 6.9169 4.5369 5.8081 6.2001 ∑x²=30.1184
Mean xi 2.58 2.63 2.13 2.41 2.49 Total2.448
Σ Σ xij^2 = 185.4 given
Let k = the number of different samples = 5
n=n1+n2+n3+n4+n5=1+1+1+1+1=5
Overall ˉx=12.24/5 =2.448
∑x=T1+T2+T3+T4+T5=2.58+2.63+2.13+2.41+2.49=12.24----1
Correction Factor=(∑x)²/n=12.242/5=29.9635--------(2)
∑T²i/ni=(2.582/1+2.632/1+2.132/1+2.412/1+2.492/1)=30.1184------(3)
∑x²=∑x²1+∑x²2+∑x²3+∑x²4+∑x²5
=6.6564+6.9169+4.5369+5.8081+6.2001=30.1184-------(4)
ANOVA:
Step-1 : sum of squares between samples
SSB=(∑T2i/ni)-(∑x)2/n
=(3)-(2)
=30.1184-29.9635
=0.1549
Step-2 : Total sum of squares
SST=SSB-CF
= 185.4-2.488
=182.952
Step-3 : Sum of Squares Within Samples
SSW=∑x²-(∑T²i/ni)=SST- SSB=
= 182.952-0.1549=182.7971
Step-4 : variance between samples
MSB=SSB/k-1
=0.1549/4
=0.0387
Step-5 : variance within samples
MSW=SSW/n-k
=182.7971/5-5
=36.55942
Step-6 : test statistic F for one way ANOVA test
F=MSB/MSW
=0.0387/36.55942 = 0 .001058
ANOVA table
Source Sums Degrees Mean
of Variation of Squares of freedom Squares
SS DF MS F
B/w samples SSB = 0.1549 k-1 = 4 MSB = 0.0387 0.001
Within samples SSW = 0 n-k = 0 MSW = 36.55942
Total SST = 0.1549 n-1 = 4
H0 : The true average DNA content is not affected by the type of carbohydrate in the diet between samples
Ha : The true average DNA content is affected by the type of carbohydrate in the diet between samples
F(4,0) at 0.05 level of significance =0.5
As calculated F=0.001 >0.5
So, H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples
A car is travelling with uniform acceleration along a straight road. The road has marker posts every 100m. When the car
passes one post, it has a speed of 10ms-and, when it passes the next one, its speed is 20ms-1.
What is the car's acceleration?
A 0.67ms-2
B 1.5ms-2
C 2.5ms-2
D 6.0ms?
Answer:
(B)
Step-by-step explanation:
v^2 = v0^2 + 2ax
a = (v^2 - v0^2) / 2x
= (20^2 - 10^2) / 200
= 1.5 m/s
Find the value of x. Round to the
nearest tenth.
12
х
259
x = [?]
9514 1404 393
Answer:
5.1
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(25°) = x/12
x = 12·sin(25°)
x ≈ 5.1
x + 1/2 (x – 4) = 1/2 x + 6 (x – 2)
how many solutions does the equation have?
9514 1404 393
Answer:
one solution
Step-by-step explanation:
There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.
Simplifying, we get ...
x + 1/2x -2 = 1/2x +6x -12
3/2x -2 = 13/2x -12
The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.
__
Add 12-3/2x to both sides to get ...
10 = 5x
2 = x . . . . . divide both sides by 5. This is the solution.
Silas claims that the equation y=2+mx, where m is a real number, represents a function whose graph is a straight line.
Select the statement that BEST classifies this claim.
Answer:
The claim is true for all values of m.
Step-by-step explanation:
Given
[tex]y = 2 + mx[/tex]
Required
Which claim is true [See comment for options]
A linear equation is represented as:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
And the value of m knows no bound
i..e
[tex]m > 0[/tex]
[tex]m = 0[/tex]
[tex]m < 0[/tex]
Hence, (a) is correct
PLEASE HELPPPP!!!!
Find the measure of the arc or angle indicated.
Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.
Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.
Conclusion
Both angles = 55
But that's not what you are asked for.
What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM
Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.
The measure of arc LM = 110°
Pls help me plssssssssssss
They are complementary angles. Equate the given to 180° and then proceed arithmetic operations. I hope it helps.
PLEASE HELP ME! Tysm <3 Have a great day. The Picture is below.
Answer:
1.false
2.false
3.false
Answer:
All three are false.
Step-by-step explanation:
Let's say a equaled 2 and b equaled 5.
For reference: |2| = 2 |5| = 5
2 > 5 - False
|2| > |5| - False
2 > |5| - False
Hope this helps!!
❤️ i need this last question
Answer: [tex]10\left(\cos90^{\circ}+i\sin90^{\circ}\right)[/tex]
Step-by-step explanation:
Given
The complex number is [tex]z_1=0+10i[/tex]
Complex number in polar form is given by
[tex]z=r\left(\cos \theta +i\sin \theta\right)[/tex]
Compare it with the given complex number
[tex]r=10[/tex] and [tex]\sin \theta=1[/tex] which implies [tex]\theta[/tex] must be [tex]90^{\circ}[/tex]
So, in the polar form, it is
[tex]z_1=10\left(\cos90^{\circ}+i\sin90^{\circ}\right)\\z_1=10e^{i\frac{\pi}{2}}[/tex]
2 - i
——————-
(4 - 1) (4 + i)
Answer:
3=¢
Step-by-step explanation:
yeahhhhhhh thank youiuuuuuuuuuuuu
Find values of x and y
Answer:
[tex]x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree[/tex]
[tex]y = 2[/tex]
i need help i dont get it comment if you need anything
Answer:
what is question 10?
Step-by-step explanation:
someone help me question below
(please NO LINKS)
Answer:
option A 12x is the correct answer
Work is apreciated! If you could at least include the formula also!
Answer:
184.5 ft³Step-by-step explanation:
Volume formula:
V = Bh/3, where B- area of the baseThe base is the pentagon, consisting of equal 5 triangles with the height of 4.1 ft and side of 6 ft.
Area of the base:
B = 5*1/2*6*4.1 = 61.5 ft²Volume:
V = 61.5*9/3 = 184.5 ft³Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answer:
THE LAST THREE ARE THE ANSWERS
Step-by-step explanation:
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,546 was collected on the sale of 1,082 tickets. How many of each type of ticket were sold?
Answer:
509 adults 1 student
Step-by-step explanation:
2545÷5
What is the correct multiple choice option?
Answer:
cost per tennis ball
Step-by-step explanation:
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km. x squared divided by 357 plus y squared divided by 710 equals 1 x squared divided by 1669 squared plus y squared divided by 1316 squared equals 1 x squared divided by 1316 squared plus y squared divided by 1669 squared equals 1 x squared divided by 710 plus y squared divided by 357 equals 1
Answer:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
What is y=x +1 and y=2x-1
Answer:
Y=X+1=2+1=3
Step-by-step explanation:
{
X
=
2
Y
=
3
Explanation:
Combining the two equations, we find:
2
X
−
1
=
Y
=
X
+
1
Subtract
X
from both ends to get:
X
−
1
=
1
Add
1
to both sides to get:
X
=
2
Then:
Y
=
X
+
1
=
2
+
1
=
3
Evaluate and input the result of the following integral.
∫ Fdr= ?
c
F=
Answer:
∫ F dr= 1
c
Step-by-step explanation:
The correct question is -
Given - [tex]F = < \frac{sec^{2} x}{y} , - \frac{tan x}{y^{2} }>[/tex] and C : (0, 1) to [tex](\frac{\pi }{4} , 1)[/tex]
To find - Evaluate and input the result of the following integral.
Proof -
We know that,
dr = dx i + dy j
F = < F1, F2 >
Now, we know
[tex]d(\frac{tanx}{y }) = \frac{d}{dx}(\frac{tanx}{y}) + \frac{d}{dy}(\frac{tanx}{y})[/tex]
So,
[tex]\frac{d}{dx}(\frac{tanx}{y}) =\frac{1}{y} \frac{d}{dx}({tanx}) \\\\ = \frac{sec^{2} x}{y} \\\frac{d}{dy}(\frac{tanx}{y}) = tanx \frac{d}{dy}(y^{-1}) \\ = -\frac{tanx}{y^{2} }[/tex]
Now,
We can see that,
[tex]d(\frac{tanx}{y }) = \frac{sec^{2} x}{y} dx - (\frac{tanx}{y^{2} })dy[/tex]
So,
[tex]\int\limits^{}_C {F. dr} = \int\limits^{}_C d(\frac{tanx}{y} )\\= [\frac{tanx}{y} ]\limits^{(\frac{\pi }{4} ,1)}_{(0,1)}\\= [\frac{tanx}{y} ]\limits^{}_{(\frac{\pi }{4} ,1)} - [\frac{tanx}{y} ]\limits^{}_{(0,1)}\\= \frac{tan(\frac{\pi }{4} )}{1} - \frac{tan 0}{1}\\= 1 - 0\\= 1[/tex]
∴ we get
∫ F dr= 1
c
Using the pattern, give the coefficients of (x + y)^5 and (x + y)^6
Answer:
[tex](x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]
[tex](x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex]
Step-by-step explanation:
In order to find the values of [tex](x+y)^5[/tex] and [tex](x+y)^6[/tex], you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).
[tex](x+y)^5[/tex] = [tex]\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex] = [tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex] = [tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex].
[tex](x+y)^6[/tex] = [tex]\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i[/tex] = [tex]\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6[/tex]= [tex]x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex].
Maria reads more than 8 books a month. Which inequality represents how many books Maria could have read?
A: 8 > b
B: 8 ≥ b
C: 8 < b
D: 8 ≤ b
Answer:
8 < b
Step-by-step explanation:
since she reads more than 8 it marks out B and D and since b needs to be greater than 8, the answer would be C
In Zoie's class, 7/10 of the students walk to school. Another 1/5 of the students ride their bikes. The other students ride on the school bus. What fraction of the class rides on the school bus?
Answer:
ion know
Step-by-step explanation:
7/10 + 1/5 =
7/10 + 2/10 (1/5 x 2 = 2/10) = 9/10
10/10 - 9/10 = 1/10
therefore, 1/10 of the class rides on the school bus.
4 3/4 + 1 3/4 = ? pls answer
Answer:
6.5
Step-by-step explanation:
dude you can search this up
6 1/4
convert both mixed numbers into improper fractions:
multiply the denominator by the whole number and then add the numerator to convert into a improper fraction
4 3/4 = 18/4
1 3/4 = 7/4
then add the two numerators together
the denominator stays the same
18/4 + 7/4 = 25/4
then convert back into a mixed number:
find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.
Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4
In ΔTUV, t = 47 cm, v = 65 cm and ∠V=38°. Find all possible values of ∠T, to the nearest degree.
Answer:
26 degrees
Step-by-step explanation:
It is the correct solution on delta math
Answer:
26°Step-by-step explanation:
Use the law of sines:
t / sin ∠T = v / sin ∠Vsin ∠T = t sin ∠V / vsin ∠T = 47 sin 38° / 65sin ∠T = 0.445m∠T = arcsin (0.445)m∠T = 26° (rounded)What is the measure of ZLKM?
A, 35
B, 55
C, 70
D, 110
(Person who answers will get a follow, like, and brainless)
Answer:
70
Step-by-step explanation:
35 because the 4 segments have to total to 180
what is the domain of f (x) = 4 + 2x on a graph when the range is (0,6)
Answer:
(-2, 1).
Step-by-step explanation:
When f(x) = 0
4 + 2x = 0
2x = -4
x = -2.
Ehen f(x) = 6
4 + 2x = 6
2x = 6-4 = 2
x = 1.
someone help me please! i will reward brainliest! this is geometry
Answer:
n=7
r=2
combination=7*2=14☺️
Awnser : 14
Explanation : N = 7 An R = 2 ∴ 7 × 2 = 14
Hoped This Helped Have a Nice Day :)
What is the volume of the right rectangular prism below?
2 inches
13 inches
12 inches
A 2- cubic inches
3
B 3- cubic inches
4
1
4= cubic inches
4
3
D) 4- cubic inches
4
Answer: B - 3 3/4 cubic inches
Step-by-step explanation:
A = BH; B = wl
2 * 1 1/4 = B
B = 2 1/2
H = 1 1/2
2 1/2 * 1 1/2 = 3 3/4
3. Calculate the volume of this rectangular prism below.
Answer:
A) 14/27 cubic cm
Step-by-step explanation:
Since you are solving for volume, you multiply all the sides.
2 1/3 × 1/3 × 2/3 = 14/27
An industrial machine produces widgets, but it has a 0.07 detective rate. What is the probability that the machine produces fewer than 5 detective widgets in a production run of 100 items?
Answer:
0.22
Step-by-step explanation:
defective rate is 7 out of 100
defective rate of 4, or 3, or 2, or 1 defective is:
7/100 + 6/99 + 5/98 + 4/97 ≈ 22/100
The required probability for fewer than 5 defective rate is 0.10
An industrial machine produces widgets, but it has a 0.07 defective rate.
What is the probability?
Probability, can be define as the ratio of favorable events to the n number of total events.
defective rate fewer than 5
p of 4 defective + p for 3 defective+ p for 2 defective + p for 1 defective.
total p = 4/100 + 3/99 + 2/98 + 1/97 ≈ 0.10
Thus, The required probability for fewer than 5 defective rate is 0.10
Learn more about probability here:
brainly.com/question/14290572
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