two f1 plants were crossed with each other and the f2 generation consisted of 860 tall plants with purple flowers; 285 dwarf, purple plants; 340 tall, pink plants; and 115 dwarf, pink plants (1600 total). a chi-square goodness-of-fit test is used to see if these data represent chance deviations from a 9:3:3:1 ratio. what will be the calculated chi-square value and what will be the degrees of freedom used to interpret the chi-square?
Answers
According to the given statement the chi-square value in the test of this hypothesis is 10.111.
The correct option is C.
What is chi-square value?The chi-square statistic contrasts the actual values with what was anticipated. The discrepancy between the values observed and expected is tested using this test statistic to see if it is statistically significant.
According to the given data:Tall and purple flower observed valve = 860
Dwarf and purple flower observed valve = 285
Tall and pink flower observed valve = 340
Dwarf and pink flower observed valve = 115
Total no. of flower = 860 + 285 + 340 + 115
= 1600
The ratio given is 9: 3: 3: 1
Expected no. for Tall and purple = 100(9/16) = 900
Expected no. for Dwarf and purple = 1600(3/16) = 300
Expected no. for Tall and pink = 1600(3/16) = 300
Expected no. for Dwarf and pink = 1600(1/16) = 100
chi-square value = ∑ (objered value - expected value)² /Expected value
= \(\begin{aligned}\frac{(860-900)^2}{900}+\frac{(285-300)^2}{300}+\frac{(340-300)^2}{300} +\frac{(115-100)^2}{100}\end{aligned}\)
= 1.778 + 0.75 + 5.333 + 2.25
= 10.111
The value is 10.111
To know more about chi-square value visit:
https://brainly.com/question/23879950
#SPJ4
I understand that the question you are looking for is:
A dihybrid plant was crossed; the F2 generation consisted of: 860 tall plants with purple flowers; 285 dwarf, purple plants; 340 tall, pink plants; and 115 dwarf, pink plants. The data remind you of a 9:3:3:1 ratio. What is the chi-square value in the test of this hypothesis?
a. 0.377;
b. 7.5;
c. 10.11;
d. 11.08;
e. 15.78
Related Questions
(4.) Three million fifty-two thousand eight hundred fifty-six. In standard for is
(a)3,520,856
(b)3,052,856
(C)352,856
(d) 3,052,086
Answers
The rate of change in the population of birds is given by dp/dt= 0.016P, where t is time, in years. Approximately how many years will it take for the population of birds to increase by 50%? a.25.342 b.31.250 c.43.321 d.93.750
Answers
The population of birds to increase by 50% in 31.25 years.
The differential equation for the population of birds is:
dp/dt = 0.016P
where P is the population of birds and t is time in years.
To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.
Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.
Then we have:
P1 = 1.5P0 (since P increases by 50%)
We can solve for t by integrating the differential equation:
dp/P = 0.016 dt
Integrating both sides, we get:
ln(P) = 0.016t + C
where C is the constant of integration.
To obtain the value of C, we can use the initial condition that the population at t=0 is P0:
ln(P0) = C
Substituting this into the previous equation, we get:
ln(P) = 0.016t + ln(P0)
Taking the exponential of both sides, we get
:P = P0 * e^(0.016t)
Now we can substitute P1 = 1.5P0 and solve for t:
1.5P0 = P0 * e^(0.016t
Dividing both sides by P0, we get:
1.5 = e^(0.016t)
Taking the natural logarithm of both sides, we get:
ln(1.5) = 0.016t
Solving for t, we get:
t = ln(1.5)/0.016
Using a calculator, we get:
t ≈ 31.25 years
Learn more about rate of change here, https://brainly.com/question/8728504
#SPJ11
A constant force of 56 pounds is applied at an angle of 35º to pull a 16 foot metal door shut. How much work is done?
a
513.9 ft-lbs
b
734.0 ft-lbs
c
−383.7 ft-lbs
d
−809.7 ft-lbs
Answers
(b) 734.0 ft-lbs of work is done.
To find the work done by the force, we need to use the formula:
Work = force x distance x cos(θ)
where:
force = 56 pounds (the given constant force)
distance = 16 feet (the distance the door is being pulled)
θ = 35 degrees (the angle between the force and the displacement of the door)
We need to convert the angle to radians to use it in the formula:
theta = 35 degrees x (pi/180) = 0.6109 radians
Now we can substitute the values into the formula:
Work = 56 pounds x 16 feet x cos(0.6109 radians)
Work = 734.0 ft-lbs (rounded to one decimal place)
Therefore, the answer is (b) 734.0 ft-lbs.
To learn more about work here:
https://brainly.com/question/31277249
#SPJ1
Given the quadratic equation x^(2)+4x+c=0, what must the value of c be in order for the equation to have solutions at x=-3 and x=-1 ?
Answers
Answer:
Step-by-step explanation:
If the solutions are x = -3 and x = -1, then (x - 3) (x - 1) will give us our answer. Using the FOIL method,
(x - 3) (x - 1)
x^2 - x - 3x + 3
x^3 - 4x + 3 = 0
Your answer is 3
need help asap please!
Answers
Answer:
determinant: -15x = 3; y = 4; z = 1Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
coefficient matrix, determinantThe first attachment shows the coefficient matrix and its determinant.
__
solutionThe solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
\(\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}\)
This multiplication is shown in the second attachment. It tells us ...
\(\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right]\)
A system of two linear equations is graphed on a coordinate plane. If the system of equations has no solutions
Answers
Answer:
see explanation
Step-by-step explanation:
The solution to the equations is at the point of intersection of the 2 lines.
If the system has no solution, this indicates the lines do not intersect and therefore must be parallel.
Consider solving the nonlinear system given by:
x
2
−10x+y
2
+8=0
xy
2
+x−10y+8=0
using Newton's Method for systems. Write a MATLAB program to perform 4 iterations of the Newton's Method with the initial vector (0.5,0.5). Attach your code and the output of each iteration.
Answers
The MATLAB program provided solves the given nonlinear system using Newton's Method for systems. It performs 4 iterations with an initial vector of (0.5, 0.5). The output of each iteration shows the updated values of the vector and the corresponding residual values.
Newton's Method is an iterative numerical method used to approximate the solutions of a system of nonlinear equations. The provided MATLAB program initializes the vector with (0.5, 0.5) and then performs 4 iterations to refine the solution.
In each iteration, the program calculates the Jacobian matrix and evaluates the function values at the current vector. Using the Jacobian and function values, it updates the vector by solving a linear system of equations. The process is repeated until convergence is achieved or a maximum number of iterations is reached.
The output of each iteration includes the updated vector values and the corresponding residual values, which indicate the error in satisfying the system of equations. By examining the output, one can observe the convergence of the method and the refinement of the solution with each iteration.
The code and output provided can be used to understand the step-by-step process of Newton's Method for solving the given nonlinear system and can serve as a reference for further analysis or modifications of the program.
Learn more about nonlinear equations here:
brainly.com/question/20242917
#SPJ11
Please Help. I dont understand
Answers
Answer:
a) y=|(1\2)x-2| + 4
b)y=|(1/2)x-2|+2
c)y=|(1/2)x-1|+3
d)y=|(1/2)x-3|+3
Step-by-step explanation:
Translating up and down is done outside of the absolute value and is intuitive in that up is added to the original value and down is negative. Left and right is shown within the absolute value and is the opposite of what you would think it to be in that left is added and right is subtracted.
expert that helps you learn core concepts.
See Answer
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 23, 25, 16, 20, 13, 10, 28, 19. Use Table 2.
a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.)
Sample mean.
Sample standard deviation
b. Construct the 90% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval to
c. Construct the 99% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval to
Answers
The sample mean of the observations is 19.25 and the standard deviation is 2.15
Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.
Sample standard deviation is the square root of the variance
mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8
mean = 19.25
variance = (x₁ - mean)²/n(n-1)
variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))
variance = 259.5/56
variance = 4.63
Standard deviation = √variance = √4.63 = 2.15
Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15
To learn more about variance refer here
https://brainly.com/question/15858152
#SPJ4
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 4≤x≤8.
Answers
Answer:
No Solution
Step-by-step explanation:
It's false there's no solution
#2 A student wants to determine if the proportion of times a spun penny lands on heads is different from 0.5. She spins a penny 50 times and records the number of times it lands on heads.
What is the appropriate inference procedure?
one-sample t-test for μ
one-sample z-test for p
one-sample t-test for diff
two-sample z-test for Pâ-Pâ
Answers
The appropriate inference procedure is a one-sample z-test for p.
A one-sample z-test for the percentage would be the proper inference method in this case.
This is due to the fact that we only have one sample of coin flips and wish to determine whether the population's genuine percentage of heads (p), which represents the proportion of heads in the population, differs substantially from 0.5 (our null hypothesis).
In a one-sample z-test for the percentage, the sample proportion (p-hat) is calculated, and the standard error formula is used to get a z-statistic, which is then compared to a normal distribution to provide a p-value.
If the p-value is less than the significance level, which is typically 0.05, the null hypothesis is rejected.
To learn more about the z-test;
https://brainly.com/question/30998088
#SPJ1
can someone help me with this? thank you!
Answers
Answer:
14 x 12=168/2=84
tthe answer is 84 ")
Step-by-step explanation:
Answer:
84 cm ²
Step-by-step explanation:
Formula:
A = 1/2Bh or A = bh/2
Solve:
You can use either formula. I like to use A = bh/2
Since,
b = 14
h = 12
Then,
⊂14× 12 ÷ 2⊃
⊂168÷ 2⊃
⊂84⊃
84 cm ²
Kavinsky
What Is B for Y=\(\frac{1}{2}\)x
Answers
Answer: I believe it should stay as "B" but if your solving for "B" this is the answer I believe: "B=Y−x/2" I hope this helps!^^
Step-by-step explanation:
find the area of the region enclosed by the curves y = x and 4x + y2 = 12.
Answers
On integrating we will find that the area enclosed by the curves given is 64 / 3.
First we will plot a graph ,
The graph for x = y will be a straight line passing through the origin and the graph for 4x + y2 = 12 will be a parabola.
Integration of 4x + y2 = 12
= ∫4/2x² + y² dx = C
= 2x² + y² x - C
On putting the value of x and y we get ,
the area as 64 / 3.
In integration we generally add various parts to form one single object. It is a mathematical concept and comes under the branch of calculus.
To learn more about integration
brainly.com/question/18125359
#SPJ4
Alessia’s salary in 2022 was 26,000 after tax.
She spends 35% of her after tax salary on rent.
The rest is split between food, petrol and entertainment in the ratio 6:11:8
Work out how much alessia spent on entertainment in 2021
Answers
Alessia spent $5,408 on entertainment in 2021.
To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.
Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.
Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:
Rent = 35% × $26,000
= $9,100
The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.
To determine the ratio's total parts, we sum the individual parts:
Total parts = 6 + 11 + 8 = 25
Next, we calculate the value of one part of the ratio:
One part = ($26,000 - $9,100) / 25
= $16,900 / 25
= $676
Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:
Entertainment expenditure = 8 × $676
= $5,408
For similar questions on entertainment
https://brainly.com/question/26767445
#SPJ8
2(q–8)<–10 solve for r
Answers
Answer:
q < 3
Step-by-step explanation:
2(q–8)<–10
Divide each side by 2
2/2(q–8)<–10/2
q-8 < - 5
Add 8 to each side
q-8+8 < - 5+8
q < 3
Answer:
\( = q < 3\)
Step-by-step explanation:
\(2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 +1 6 \\ 2q < 6\\ \frac{2q}{2} < \frac{6}{2} \\ = q < 3\)
hope this helps
brainliest appreciated
good luck! have a nice day!
in an experiment, a die is rolled and a coin is tossed. what is the probability of rolling a six, and then getting heads upon tossing the coin?
Answers
The probability of rolling a six, and then getting heads upon tossing the coin is 1/12.
The probability of rolling a six on a die is one-sixth, while the likelihood of landing on heads on a coin flip is one-half. To find the probability of both events happening together, we need to multiply the probabilities.
P(rolling a six and getting heads) = P(rolling a six) × P(getting heads)
P(rolling a six and getting heads) = 1/6 × 1/2
P(rolling a six and getting heads) = 1/12
Therefore, the probability of rolling a six and getting heads upon tossing the coin is 1/12.
To know more about probability, visit,
https://brainly.com/question/13604758
#SPJ4
The January stock market Some people think that the behavior of the stock market in January predicts its behavior for the rest of the year. Take the explanatory variable x to be the percent change in a stock market index in January and the response variable y to be the change in the y index for the entire year. We expect a positive correlation between x and y because the change y during January contributes to the full year's change. Calculation from data for an 18-year period gives x = 1.75% S,= 5.36% y = 9.07% $y = 15.35% r=0.596 Find the equation of the least-squares line for predicting full-year change from January change. Show your work.
Answers
Explanation:
Given:
\(undefined\)Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answers
Answer:
the answer should be y = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
x = -2 5 -1
x + 2 = 0
x - 5 = 0
x + 1 = 0
f(x) = (x + 2) (x + 1)
x(x) + 2(x) + x(1) + 2(1)
x^2 + 2x + x + 2
x^2 + 3x + 2
f(x) = (x^2 + 3x + 2) ( x - 5)
x^2(x) + 3x(x) + 2(x) + x^2(- 5) + 3x(- 5) + 2(- 5)
x^3 + 3x^2 + 2x - 5x^2 - 15x - 10
x^3 - 2x^2 - 13x - 10
f(x) = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
this is your answered give me point
How do i solve this paper?
I feel like my answers are gone and i need help.
Answers
Answer:
you have it correct sir
Step-by-step explanation:
Write an equivalent fraction of
\( \frac{9}{6} \)
with the :
a) Numerator 72
b) Denominator 30
I'll mark Brainliest.
Answers
Answer:
here's the answerStep-by-step explanation:
\(to \: do \: so \: we \: have \: to \: multiply \: \frac{9}{6} \: by \: \frac{8}{5} \: so\)
\( \frac{9}{6} \times \frac{8}{5} \)
\(\frac{72}{30} \)
mark works at his dads hardware store after school for $6 per hour. he made a graph of his earnings
Answers
Answer:
D- Point D
Step-by-step explanation:
Well, if he earned $6 every hour he worked, 2 hours of work would be 12, 3 hours=18, 4 hrs.=24, etc.
you just multiply $6 by every hour worked.
Therefore, if you look at Point D is the only point plotted correctly.
Hope this helps
Rewrite the following equation in slope-intercept form.4x – 3y = -12please show how
Answers
The equation of line in slope-intercept form is,
\(y=mx+c\)Here, m is slope of line and c is y-intercept.
Simplify the equation to obtain the slope-intercept form.
\(\begin{gathered} 4x-3y=-12 \\ 4x+12=3y \\ y=\frac{4x}{3}+\frac{12}{3} \\ =\frac{4}{3}x+4 \end{gathered}\)Please help me with this question I don’t need an explanation either I will give brainliest
Answers
Answer:
(1) 25
Step-by-step explanation:
a1 => 121 =11²
10
9
a3=>64= 8²
7
6
a5=>25= 5²
Please help me solve this triangle so I know I’m doing it right.
Answers
Let the given sides be,
x=7
y=11
z=6
To find:
\(\angle X,\angle Y,\angle Z\)Using the formula,
\(\cos X=\frac{y^2+z^2-x^2}{2yz}\)On substitution we get,
\(\begin{gathered} \cos X=\frac{11^2+6^2-7^2}{2(11)(6)} \\ \cos X=\frac{121+36-49^{}}{132} \\ \cos X=0.81818 \\ X=\cos ^{-1}(0.81818) \\ X=35.1^{\circ} \end{gathered}\)Hence, the ange of X is,
\(\angle X=35.1^{\circ}\)Next, we need to find the angle of y:
Using the formula,
\(\cos Y=\frac{x^2+z^2-y^2}{2xz}\)On substitution we get,
\(\begin{gathered} \cos Y=\frac{7^2+6^2-11^2}{2(7)(6)} \\ \cos Y=\frac{49+36-121^{}}{84} \\ \cos Y=-0.42857 \\ Y=\cos ^{-1}(-0.42857) \\ Y=115.4^{\circ} \end{gathered}\)Hence, the ange of Y is,
\(\angle Y=115.4^{\circ}\)Next, we need to find the angle of Z:
Using the formula,
\(\cos Z=\frac{x^2+y^2-z^2}{2xy}\)On substitution we get,
\(\begin{gathered} \cos Z=\frac{7^2+11^2-6^2}{2(7)(11)} \\ \cos Z=\frac{49+121-36^{}}{154} \\ \cos Z=0.87012 \\ Z=\cos ^{-1}(0.87012) \\ Z=29.5^{\circ} \end{gathered}\)Hence, the ange of Z is,
\(\angle Z=29.5^{\circ}\)Select the values that make the inequality c<-7c<−7 true.
(Numbers written in order from least to greatest going across.)
-15 -12 -10
-8 -7.1 -7.01
-7.001 -7 -6.999
-6.99 -6.9 -6
-4 -2 1
Answers
The values of the inequality c < -7 are; -6.99 -6.9 -6
What is inequality?The inequality is the equation that shows the relationship between the numbers or algebraic expression. The relationship maybe greater than, greater than or equal, less than, less than or equal. In inequality there is no equal relationship.
The given inequality is
-c < 7
Divide both sides of the given inequality by -1
-c/-1 < 7/-1
c<-7
Therefore the value of c is less than -7
So, the values are -6.99 -6.9 -6
Hence, the values of the inequality are -6.99 -6.9 -6
Learn more about inequality here;
brainly.com/question/20383699
#SPJ1
HARD QUADRATICS!!!! A quadratic of the form $-2x^2 + bx + c$ has roots of $x = 3 + \sqrt{5}$ and $x = 3 - \sqrt{5}.$ The graph of $y = -2x^2 + bx + c$ is a parabola. Find the vertex of this parabola.
Answers
Answer:
hold up this will take a min to work out
Step-by-step explanation:
The chart shows the distances, in miles, between some towns and cities.
Wrexham
12
21
15
Mold
20
COR
27
RUTHIN
Corwen
23
OSWESTRY
Oswestry
Darren lives in Wrexham and works in Corwen.
a) Use the chart to find the road distance
between Wrexham and Corwen.
Elyas lives in Mold and works in Oswestry for
5 days a week. Each day he travels to and from
work using the route shown on the map.
b) How many miles, in total, does he travel to
and from work each week?
Answers
The road distance between Wrexham and Corwen can be found to be 21 miles
The miles in total that Elyas travelled to and from work each week would be 270 miles.
How to find the road distance and miles traveled ?The road distance between Wrexham and Corwen can be found at the intersection between Wrexham and Corwen on the table which is 21 miles.
The miles between Mold and Oswestry by the same method would be 27 miles. This means that the total miles traveled by Elyas :
= 27 miles x 2 going and coming x 5 days a week
= 270 miles
Find out more on road distance at https://brainly.com/question/29085711
#SPJ1
Please helppp this is algebra 10 :(
Answers
Answer:
x > 10/3 or x > 3 1/3
Step-by-step explanation:
Algebra 10? You sure it's not Algebra 1?
The table shows the number of miles each person ran this week. Who ran more miles by end of the week . Who ran more miles by end of the week? How many more?
Answers
Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.
Describe Algebra?Algebra is a branch of mathematics that deals with mathematical expressions and equations, using letters and symbols to represent numbers and quantities. It involves the manipulation and solving of equations and inequalities involving variables.
In algebra, variables are represented by letters, usually x, y, or z, and they can represent any number or quantity. Algebraic expressions are formed by combining variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division.
To determine who ran more miles by the end of the week, we need to calculate the total number of miles each person ran. We can do this by adding up the miles from each day:
Pat: 2.75 + 3 + 2.5 = 8.25 miles
Toby: 2 + 2.25 + 3.5 = 7.75 miles
Therefore, Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.
To know more about miles visit:
https://brainly.com/question/30331178
#SPJ1
The complete question is:
