Experiments are conducted with hybrids of two types of peas. if the offspring follow mendel’s theory of inheritance, the seeds that are produced are yellow-smooth, green-smooth, yellow-wrinkled, and green-wrinkled, and they should occur in the ratio of 9:3:3:1, respectively. an experiment is designed to test mendel’s theory, with the result that the offspring seeds consist of 307 that are yellow-smooth, 77 that are green-smooth, 98 that are yellow-wrinkled, and 18 that are green-wrinkled. use a 0.05 significance level to test the claim that the results contradict mendel’s theory.
Answers
Therefore ,There is sufficient evidence to support the claim that the results contradict Mendel's theory.
What is Mendel's Theory?Mendelian inheritance is the term used to describe certain patterns of how features are passed down from parents to offspring. Gregor Mendel, an Austrian monk, developed these broad patterns through his countless pea plant studies in the 19th century.
Here,
n=307+77+98+18=500
k=4
O1=307
O2=77
03=98
04=18
\(\alpha =0.05\)
The null hypothesis claims that the population proportions are the same as those indicated (9:3:3:1).
\(H_{0}\): P1=9/16, P2=3/16,P3=3/16 & P4=1/16
In contrast to the null hypothesis, the alternative hypothesis states:
\(H_{\alpha }\): At least one of the peas is different.
E1=nP1=4297*9/16=281.25
E2=nP2=4297*3/16=93.75
E3=nP3=4297*3/16=93.75
E4=nP4=4297*1/16=31.25
The subtotals are the squared differences between the observed and expected frequencies, divided by the expected frequency.
Next, the sum of the subtotals represents the test-value: statistic's
\(x^{2} =\)∑\(\frac{O-E}E^{2}\)=\(\frac{(307-281.25)^{2}}{281.25} + \frac{(77-93.75)^{2}}{93.75} + \frac{(98-93.75)^{2}}{93.75} + \frac{(18-31.25)^{2}}{31,25}\)
=11.16
The number of categories has shrunk by 1 to reflect the degrees of freedom:
The P-value is the likelihood of getting the test statistic's value or a more extreme result. The number (or range) in the column heading of the chi-square distribution table in the appendix that contains the \(x^{2}\) value in the row df=k-1=4-1=3
0.01<P<0.025
If the P-value is less than or equal to the significance level, then the null hypothesis is rejected:
P<0.05=>Reject \(H_{0}\)
Therefore, The claim that the outcomes defy Mendel's theory is sufficiently supported by the available data.
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Related Questions
can someone help me with this please thank you
Answers
Answer:
it's 25 m/s in other word's C
Step-by-step explanation:
Answer:
C) 25m/s
Step-by-step explanation:
The highest point on the graph is located at 25m/s. Therefore that is the fastest speed the car traveled at.
Help me with this question please
Answers
Next, you need to count the number of scores that are less than or equal to 71. In this case, there are 6 scores that are less than or equal to 71, so the percentile rank of a score of 71 on
this test is 6/15 = 40%.
To find the score that corresponds to the 60th percentile, you need to count the number of scores that are less than or equal to the 60th percentile. In this case, there are 9 scores that are less than or equal to the 60th percentile, so the score that corresponds to the 60th percentile is 85.
7. Consider the relationship between infant birth weight in ounces (bwght) and average number of cigarettes the mother smoked per day during pregnancy (cigs). The equation estimated is shown below:
bwght=119.77+-0.514cigs (0.572) (0.091) R² = 0.0220
n = 1388
a. Construct a 95% confidence interval for B
b. Construct a hypothesis test for B, that reflects the conjecture that a 20 cigarette (one pack) a day habit reduces birth weight by 20 onces.
(i) State the null and alternative hypotheses (hint: what value of B, leads to a 20 ounce birth weigh reduction when cigs = 20?).
(ii) Construct a test statistic
(iii) State the p-value for the test statistic
(iv) Indicate a level of significance for your test.
(v) Indicate whether your test is one-sided or two-sided.
(vi) State your conclusion (do you reject or fail to reject the null)
Answers
a. To construct a 95% confidence interval for B, we can use the estimated coefficient and its standard error. The formula for the confidence interval is:
B ± t * SE(B)
Where B is the estimated coefficient, SE(B) is the standard error of the coefficient, and t is the critical value from the t-distribution based on the desired confidence level and the degrees of freedom (n - 2).
b. Hypothesis test:
(i) The null hypothesis (H0): B = 20 (there is no effect of smoking on birth weight).
The alternative hypothesis (Ha): B ≠ 20 (there is an effect of smoking on birth weight).
(ii) The test statistic is calculated by dividing the estimated coefficient by its standard error:
t = (B - hypothesized value) / SE(B)
(iii) The p-value is the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.
(iv) The level of significance is the predetermined threshold for rejecting the null hypothesis. Common levels are 0.05 and 0.01.
(v) The test is two-sided because the alternative hypothesis allows for both positive and negative effects of smoking on birth weight.
(vi) Based on the calculated test statistic and p-value, we can compare the p-value to the level of significance. If the p-value is less than the level of significance, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
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prove the following corollary of the archimedean principle. (see example 28 for the statement.) for every positive real number ε, there exists a positive integer n such that
Answers
The corollary states that for every positive real number ε, there exists a positive integer n such that
What is the corollary of the Archimedean principle?The corollary of the Archimedean principle states that for any positive real number ε, there exists a positive integer n such that ε is greater than the reciprocal of n, i.e., ε > 1/n. In other words, there exists a positive integer n such that the fraction 1/n is smaller than any given positive real number ε.
To prove this corollary, we can assume that ε is a positive real number. By the Archimedean principle, there exists a positive integer m such that m > ε. Now, consider the positive integer n = ⌈1/ε⌉ + 1, where ⌈x⌉ denotes the ceiling function, rounding up x to the nearest integer.
We have:
1/ε < 1/(⌈1/ε⌉ + 1) ≤ 1/(1/ε) = ε.
Therefore, we can conclude that for any positive real number ε, there exists a positive integer n = ⌈1/ε⌉ + 1 such that ε > 1/n.
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Determine the value of the variable that makes the equation true.
`1=-10c`
Answers
Answer:
0.1
Step-by-step explanation:
1/10=c
0.1=c
Check
1=10(0.1)
10×0.1
1
WHO LIKES LARRAY
Cause I do
Answers
A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition
Answers
A circle is a curve that is made by a moving point in a plane. The perimeter of a circle is equal to the length of the circle's defining line and is commonly referred to as the circle's circumference.
What is a circle?
A circle can be thought of as a curve drawn out by a point traveling in a plane so that its distance from a particular point remains constant.It can also be thought of as the shape made by all of the points in a plane that are at a specific distance from the center.The claim that the provided point needs to be in the center of the circle contradicts this interpretation of the circle.The perimeter of a circle serves as an example of such an ambiguous term. Often referred to as the circumference of a circle, it is defined as the length of the line encircling it.To learn more about circles, refer to the link: https://brainly.com/question/25938130
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Need help solving this to help study for my final exam
Answers
Explanation
To answer this given question, we will make use of the Empirical rule of normal distribution
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
The image below helps gives a clearer understanding
So in our case, since the mean is 189 mg/dL and the standard deviation is 23
Then we will have the following values at
\(undefined\)
What are the zeros of the function below? Check all that apply.
(x - 1)(x + 1)
----------------
6(x-4)(x+7)
A. 7
B. 1
C. -1
D. 4
E. 6
F. -7
Answers
Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws. Each person shoots for an equal amount of time, while the other person rebounds the ball. How long does each person shoot free throws? Write your answer as a proper fraction or mixed number.
Answers
Answer:
22¹/₂ minutes
Step-by-step explanation:
If Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws, the total time it takes for the both of them to shoot free throws is 45 minutes.
Let the amount of time Trent and Vivian shoot the free throws be t₁ and t₂ respectively.
Since they both throw at equal times, t₁ = t₂ = t.
Now t₁ + t₂ = 45 the total time it takes to shoot the free throws.
Since, t₁ = t₂ = t.
t₁ + t₂ = 45
substituting t into the equation, we have
t + t = 45
adding the t's, we have
2t = 45
dividing both sides by 2, we have
t = 45/2
t = 22¹/₂ minutes
So, it takes each person 22¹/₂ minutes to shoot free throws.
Answer:
22 1/2 minutes
Step-by-step explanation:
45 divided by two =22 1/2
Hope this helps :)
|a-i|= the square root of 37
Answers
Answer:
well the square root of 37 is 6.083
Step-by-step explanation:
for this problem I use 6 since 6×6=36 then that my ewser 6 because if I go one higher I am going to 37
Answer:
-6
Step-by-step explanation:
edge
Katie deposited $2,000 into a new savings account that paid interest at an annual rate of 3%, compounded continuously. If there were no other transactions, approximately how much money was in Katie's account 6 years after she made the deposit?
Answers
Answer: $ 2388.10
Step-by-step explanation:
Given: Principal value : P= $2,000
annual rate : r= 3% = 0.03
Time : t= 6 years
Formula to calculate the accumulated amount if compounded continuously :-
\(A=P(1+r)^t\)
\(A=2000(1+0.03)^6\\\\=2000(1.03)^6\\\\=2000(1.1940523)\\\\=2388.10\)
Hence, Money in Katie's account after 6 years = $ 2388.10
ANSWER RIGHT AWAY FOR 14 POINTS
what is 9,349,000,000,000 in scientific notation
Answers
9.349 × 10^12 (^ means to the power of)
a. 5x10 to the third power
Answers
Answer:
5000
Step-by-step explanation:
the answer is 5000 because the third power to ten is 1000 and since 5x10= 50 you just have to make it a thousand so, 5000
Answer:5000
Step-by-step explanation: take notes
Please answer soon. (35 Points)
Answers
Answer:BBBBBBTheBBBBBBBTheBBB
Step-by-step explanation:
Solution:
The sum of 2x + 14 and x + 7 will always end up as 90° as:
90 + 2x + 14 + x + 7 = 180Therefore, the equation formed: (2x + 14) + (x + 7) = 90
Since the equation is matching with Option B...
Option B is correct.
Please show working out
The line passes through the point (2, 11).
How does this give you the equation 11 = 6 + k?
Answers
Thus, using the slope intercept form of for the equation of line: equation 11 = 6 + k can be written as: 11 = 2*3 + k.
Explain about the equation of line:Every equation that describes the slope and at least one point on a line is said to be the equation of that line.
The point-slope equation can be solved if we have the slope as well as the coordinates of a single point on a line.Typically, an equation's slope-intercept form is represented as y=mx+b. B is the y-intercept, or mx1-y1 in this case.We can bypass point-slope form and directly enter the numbers into the slope-intercept equation if the observed point of such an equation is the y-intercept. If not, we must enter the numbers into point-slope, solve for y, and then transform the data into slope-intercept form.
Given data:
Passing point (2,11)
Equation of line:
11 = 6 + k
11 = 2*3 + k ...eq 1
The standard equation of line in slope intercept form is:
y = mx + c
In which, m is the slope and c is the y-intercept.
The given passing points must satisfy the line. So, putting the values in standard form.
11 = 2m + c ...eq 2
Comparing the eq 1 and 2
slope m = 3 and c = k.
Thus, using the slope intercept form of for the equation of line: equation 11 = 6 + k can be written as: 11 = 2*3 + k.
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equilibrium, find the tensions T
1
,T
2
, and T
3
in the wires.
T
1
=
T
2
=
T
3
=
N
V
V
Answers
The tensions T1, T2, and T3 in the wires are:T1 = T2 = 15.68 N, T3 = 13.56 N.
The tension in the wires can be found by using the principle of equilibrium.
Here, the tension forces T1, T2, and T3 are acting on the point.
The weight of the object, W, is acting vertically downwards.
Thus, the vertical and horizontal components of these forces should balance each other for the system to be in equilibrium.
Let the angle made by the rope with the horizontal be θ. Thus, we have the following force equations:
∑Fx=0
⇒ T1 cosθ = T2 cosθ∑Fy=0
⇒ T1 sinθ + T2 sinθ = W= 3.2 kg × 9.8 m/s²= 31.36 N
Substituting the value of T1 cosθ from equation 1 in equation 2, we get:
T2 = T1Now, using the value of T2 from equation 1,
we get:
T1 sinθ + T1 sinθ = 31.36 N2 T1 sinθ = 31.36 NT1 = 15.68 N
Substituting the value of T1 in equation 1, we get:
T2 = 15.68 N
The tension in the wire T3 can be calculated using the horizontal component of T1:
∑Fx=0
⇒ T3 = T1 cosθT3 = 15.68 cos30° ≈ 13.56 N
Thus, the tensions T1, T2, and T3 in the wires are:T1 = T2 = 15.68 N, T3 = 13.56 N.
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Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 75 bank accounts, we want to take a random sample of five accounts in orser to leam about the popelation. How many different random samples of five accounts are possible?
Answers
There are 2,082,517 different random samples of five accounts that are possible from the population of 75 bank accounts.
Simple random sampling is one of the most straightforward types of probability sampling.
It works by randomly selecting participants from the population. In a simple random sample, all members of a population have an equal chance of being selected.
It means that each sample unit has the same chance of being selected as any other unit in the population.
To determine how many different random samples of five accounts are possible, we can use the following formula: nCx where n is the number of elements in the population, and x is the sample size.
In this case, n = 75, and x = 5.
Therefore, the number of different random samples of five accounts that are possible can be calculated as follows:
75C5 = (75!)/(5! × (75 − 5)!)
= 75, 287, 520/ (120 × 2,007,725)
= 2,082,517.
There are 2,082,517 different random samples of five accounts that are possible from the population of 75 bank accounts.
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Consider the following sets of sample data:
A: 284 , 373, 400, 349, 358, 414, 363, 409, 374, 328, 444, 403, 390, 326
B: 3.77 , 3.48, 3.57, 3.49, 3.57, 4.66, 4.70, 4.50, 3.72, 3.15, 2.99
Step 2 of 2 : Which of the above sets of sample data has the larger spread?
A or B?
Answers
To determine which set of sample data has the larger spread, we need to calculate the measures of spread for both sets. The commonly used measures of spread are the range, variance, and standard deviation.
For set A:
Range = Maximum value - Minimum value
Maximum value = 444
Minimum value = 284
Range = 444 - 284 = 160
Variance measures the average of the squared deviations from the mean:
Mean = (284 + 373 + 400 + 349 + 358 + 414 + 363 + 409 + 374 + 328 + 444 + 403 + 390 + 326) / 14 = 373.286
Variance = [(284 - 373.286)^2 + (373 - 373.286)^2 + (400 - 373.286)^2 + ... + (326 - 373.286)^2] / 14
Standard deviation is the square root of the variance:
Standard deviation = sqrt(Variance)
For set B:
Range = Maximum value - Minimum value
Maximum value = 4.70
Minimum value = 2.99
Range = 4.70 - 2.99 = 1.71
Variance measures the average of the squared deviations from the mean:
Mean = (3.77 + 3.48 + 3.57 + 3.49 + 3.57 + 4.66 + 4.70 + 4.50 + 3.72 + 3.15 + 2.99) / 11 = 3.71
Variance = [(3.77 - 3.71)^2 + (3.48 - 3.71)^2 + (3.57 - 3.71)^2 + ... + (2.99 - 3.71)^2] / 11
Standard deviation is the square root of the variance:
Standard deviation = sqrt(Variance)
Comparing the spread of both sets:
For set A:
Range = 160
Standard deviation = (calculated value)
For set B:
Range = 1.71
Standard deviation = (calculated value)
From the given data, we can determine which set has the larger spread by comparing the range or the standard deviation values. However, we need the calculated values for the standard deviation in order to make a definitive comparison.
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A nearby school for wizardry is larger. They have 14 times as many students.
How many students attend the school for wizardry?
Answers
Answer:
14 times more than the larger school
Step-by-step explanation: This makes no sense, there is no problem to solve, just a statement
The Answer please!!!
Answers
Fiona has met her goal of exercising 150 minutes a week. She has kept it up for six months and is sure that it is now solidly part of her week
routine. Since she feels successful, she does not think that she needs to reflect. What is the BEST advice for Fiona?
A.
She does not need to reflect since she is content.
B. She needs to see whether her doctor thinks she is doing enough.
OC.
She clearly reflected before she started her routine, so she is done.
OD. She should reflect and see if there is anything she can improve on.
Answers
Answer:
D
Step-by-step explanation:
You are always able to do better, and Fiona needs to reflect
Help!! Will give the amazing crown!!
Answers
Answer:
\( - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78\)
Step-by-step explanation:
There you go, have a good day
A golf store pays its wholesaler $40 for a certain club. and then sells it to a golfer for $75. What is the markup rate?
Answers
Answer:
87.5% increase
Step-by-step explanation:
75 - 40 = 35
Find what percentage 35 is of 40, and you can do so by dividing.
35 ÷ 40 = 0.875
0.875 = 87.5%
SOMEONE PLEASE HELP I WILL GIVE 5 STARS AND BRAINLIEST! fill in the table using this function rule. y= 4x - 4
x- 1,3,5,10
y- blank
Answers
Answer:
(x=1, y=0), (x=3, y=8), (x=5, y=16), (x=10, y=36)
Step-by-step explanation:
You just plug the x into the equation. And then BAM the answer is right.
How do I solve this?
Answers
Answer:
sin (330)
csc (60)
cos (390)
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions
some students took an optional training class before their driving test. 28/75 took the optional class and passed their drivers test. 8/15 passed their drivers test. 3/5 took the optional class. How many students took the optional class, given he or she passed?
Answers
Approximately 17 students who took the optional class passed their driver's test.
Let's solve this problem step by step.
We are given the following information:
28 out of 75 students who took the optional class passed their driver's test.
8 out of 15 students overall passed their driver's test.
3 out of 5 students took the optional class.
To find the number of students who took the optional class and passed, we need to calculate the intersection of these two groups.
First, let's calculate the total number of students who took the optional class:
Total students who took the optional class = (3/5) \(\times\) Total number of students
Total students who took the optional class = (3/5) \(\times\) 75 = 45
Now, let's calculate the total number of students who passed their driver's test:
Total students who passed their driver's test = (8/15) \(\times\) Total number of students
Total students who passed their driver's test = (8/15) \(\times\) 75 = 40
Next, let's find the number of students who both took the optional class and passed their driver's test.
This can be found by taking the intersection of the two groups:
Number of students who took the optional class and passed = (28/75) \(\times\)Total students who took the optional class
Number of students who took the optional class and passed = (28/75) \(\times\)45 = 16.8 (approximated to the nearest whole number).
Therefore, approximately 17 students who took the optional class passed their driver's test.
It's important to note that since we're dealing with whole numbers, the approximated answer is 17, as we cannot have a fraction of a student.
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Help!
\(19=7x-2x\)
Answers
Answer:
19/5 or 3.8
Step-by-step explanation:
1. Subtract 2x from 7x because they are like terms
19=7x-2x
19=5x
2. Bring 5 to the other side to divide from 19
19/5=x
x = 19/5 or x= 3.8
Answer:
\(Simplifying\)
\(19 = 7x + 4 + -2x\)
\(Reorder \: the \: terms:19 = 4 + 7x + -2x\)
\(Combine \: like \: terms: 7x + -2x = 5 \: x \: 19 = 4 + 5x\)
\(Solving \: 19 = 4 + 5x\)
\(Solving \: for \: variable \: 'x'.\)
\(Move \: all \: terms \: containing \: x \: to \: the \\ \: left, all \: other \: terms \: to \: the \: right. \)\(Add \: '-5x' \: to \: each \: side \: of \: the \: equation.\)
\(19 + -5x = 4 + 5x + -5x\)
\(Combine \: like \: terms: 5x + -5x = 0\)
\(19 + -5x = 4 + 0\)
\(19 + -5x = 4\)
\(Add \: '-19' \: to \: each \: side \: of \: the \: equation.\)
\(19 + -19 + -5x = 4 + -19\)
\(Combine \: like \: terms: 19 + -19 = 0\)
\(0 + -5x = 4 + -19\)
\(-5x = 4 + -19\)
\(Combine \: like \: terms: 4 + -19 = -15\)
\(-5x = -15\)
\(Divide \: each \: side \: by '-5'.\)
\(x = 3\)
\(Simplifying. x = 3\)
Step-by-step explanation:
Thanks!!!!!!!
If the nth term of a sequence is 11n+2 what is the 12th term
Answers
Answer:
134
Step-by-step explanation:
the "nth" term of a sequence means that you can plug in the term number to get the term value
so, if
11n + 2 is the sequence
11(12) + 2 is the 12th term
132 + 2 is the 12th term
134 is the 12th term
By plugging in the term "place" (1st, 2nd, 3rd, 4th, etc.) for the variable "n", we get a term value.
hope this helps!!
The 12th term of the sequence is 133
How to determine the 12th term?The nth term is given as:
Tn = 11n + 1
The 12th term is calculated as:
T(12) = 11(12) + 1
Evaluate
T(12) = 133
Hence, the 12th term of the sequence is 133
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During a one-month promotional campaign, Fran's Flix gave either a free DVD rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for each box of popcom. In all, 45 new members were signed up and the store's cost for the incentives was $77. How many of each incentive were given away? Use substitution or elimination method.
Answers
Fran's Flix gave away 13 free DVD rentals and 32 boxes of microwave popcorn during the promotional campaign.
Let's denote the number of free DVD rentals given away as "x" and the number of boxes of microwave popcorn given away as "y".
According to the given information, the cost of each free rental is $1, so the total cost of the free rentals is 1x = $x.
Similarly, the cost of each box of popcorn is $2, so the total cost of the popcorn is 2y = $2y.
We are told that the total cost for the incentives was $77, so we can write the equation:
x + 2y = 77
We also know that a total of 45 new members signed up, which means the total number of incentives given away should add up to 45:
x + y = 45
Now we have a system of equations:
x + 2y = 77
x + y = 45
We can solve this system using the substitution or elimination method.
Let's use the substitution method to solve the system:
From the second equation, we have x = 45 - y.
Substituting this value of x into the first equation, we get:
(45 - y) + 2y = 77
Simplifying the equation:
45 - y + 2y = 77
45 + y = 77
y = 77 - 45
y = 32
Substituting the value of y back into the second equation:
x + 32 = 45
x = 45 - 32
x = 13
Therefore, Fran's Flix gave away 13 free DVD rentals and 32 boxes of microwave popcorn during the promotional campaign.
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