Mendel formulated the law of independent assortment as his second law of inheritance. It involvestwo genes independently segregated during reproduction, each independently determining one aspectof the phenotype. In one experiment, Mendel crossed pea plants producing yellow, round seeds withpea plants producing green, wrinkled seeds. The first generation resulted in only plants producingyellow, round seeds. Self-crossing of the F1 yielded the following phenotypes in F2:

Phenotype Yellow Round Yellow Wrinkled Green Round Green wrinkled Counts 315 101 108 32 Assuming two independent genes, each with dominant allele and a recessive allele, we would like to find a 9:3:3:1 phenotype ratio.

a. What are the null and alternative hypotheses for chi-square goodness-of-fit test?
b. What are the expected counts under the null hypothesis?
c. Calculate the value of the chi-square test statistic.
d. Do the data agree with Mendel’s second law of genetic inheritance?
e. Compare your results by chisq.test in R to perform the test?

The solution is, 0.39 = 39% of probability.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.

In the problem given, P(A) = yes and P(B) = male, then:

P(yes) = 33/100

          = 0.33

P(male) = 20/100

            = 0.20 (all male that answered the question)

P(yes and male)

= 14/100

= 0.14 (all male that answered yes to the question)

P(yes or male) = P(yes) + P(male) - P(yes and male)

                        = 0.33+0.20-0.14

                        = 0.39

                        =39%

Hence, The solution is, 0.39 = 39% of probability.

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Complete question:

One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?

Answer:

The median is 5

Step-by-step explanation:

The median is the value that is in the middle of a data set. One can find this value by lining up all of the values in the data set in ascending order (from smallest to largest). Then one will cross out answers on either side of the data set until one is left with a single value. In the event that one is left with two values, one will take the average of the two values. In other words, add the two values and then divide the result by 2.

The first step in finding the median is to list out all of the given data. Transcribe the visual data that is given in the problem into numerical data. In other words, rewrite the numbers represented by the dots as actual numbers.

1, 1, 3, 4, 4, 5, 6, 6, 6, 7, 9

Now take out numbers from each side until a single number is left in the middle.

1, 1, 3, 4, 4, 5, 6, 6, 6, 7, 9

1, 3, 4, 4, 5, 6, 6, 6, 7

3, 4, 4, 5, 6, 6, 6

4, 4, 5, 6, 6,

4, 5, 6,

5

Answer:

The answer is below

Step-by-step explanation:

Function is a rule, or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable)

a) fog = f[g(x)] = f(1 - 2x) = 1 - 2x + 5 = 6 - 2x

b) foh = f[h(x)] = f(x - 2) = x - 2 + 5 = x + 3

c) goh = g[h(x)] = g(x - 2) = 1 - 2(x - 2) = 1 - 2x + 4 = 5 - 2x

d) gof = g[f(x)] = g(x + 5) = 1 - 2(x + 5) = 1 - 2x - 10 = 9 - 2x

e) hof = h[f(x)] = h(x + 5) = x + 5 - 2 = x + 3

Answer:

The standard error is 0.0157.

The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex] is the standard error.

In a Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.

This means that [tex]n = 1012, \pi = 0.53[/tex]

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.53*0.47}{1012}} = 0.0157[/tex]

The standard error is 0.0157.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - zs = 0.53 - 1.645*0.0157 = 0.5042[/tex]

The upper limit of this interval is:

[tex]\pi + zs = 0.53 + 1.645*0.0157 = 0.5558[/tex]

The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.

Answer:

1/9 of the total bag is chocolate

Answer: 12

Step-by-step explanation:

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

Answer:

a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.

b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.

Step-by-step explanation:

For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Significantly high:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.

25% of the challenges are successfully upheld with the call overturned.

This means that [tex]p = 0.25[/tex]

879 challenges

This meas that [tex]n = 879[/tex]

a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.

This is P(X = 231). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209[/tex]

0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.

b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high

The mean is:

[tex]E(X) = np = 879*0.25 = 219.75[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84[/tex]

[tex]219.75 + 2.5*12.84 = 251.85 > 231[/tex]

231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.

Answer:

6^7^3

6^(7×3)

6^21

power of power is multiplied.

Answer:

Total Depth: 64.28m

Step-by-step explanation:

Assuming that the submarine is travelling at a constant rate, then we can use the information provided and apply a Rule of Three since it is basically a ratio problem. In this rule, you simply need to multiply the diagonal values of the ratio and divide by the last value to get the variable, which would be the depth after 110m

70min  <=======>  25 m

110min  <=======>  x m

(110 * 25) / 70 = x

2750 / 70 = x

39.28 = x

We can see that at 110min the depth would be 39.28 m but since this is an additional period of time that the submarine travelled we need to add this distance to the initial 25 m to get the total depth of the submarine.

39.28m + 25m = 64.28m

Answer:

4 times = 1 mile

1 time = 1/4 of a mile

She wants to ride 3/4 of a mile

3/4 is 3 times 1/4

She has to ride her bike 3 times around the track

3 times <<<<<===== answer

hope this helps tell me if im wrong plz

Answer:

C

Step-by-step explanation:

The cost of 5 notebooks (5x)

Less than (<)

The cost of 3 notebooks (3x)

Plus a 2 dollar pen (2)

All together: 5x < 3x + 2

Matches with the given expression.

Answer:B

Step-by-step explanation: looks like you got it right don’t second guess yourself.

Answer:

30yi terillion 9billion 8mil only

Answer:

557.8 square inches

each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.

the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.

pi× 10^2= 314.16.

duvide that by 2 to get a semicircle- 157.8

so, the total area is the 400+ 157.8, for a total area of 557.8 square inches

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Answer: 36.57

Explanation:

6x4 = 24

3.14(2)^2 = 12.56

12.57+24=36.57

I hope this helped!

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Answer:

B √245

Step-by-step explanation:

7√5

= √7²×5

= √49×5

= √245

Answer:   y = 2x - 3/4

Step-by-step explanation:

y = mx + b where m is the slope, and b is the y-intercept.

y = 2x - 3/4

Answer:

y=h(x)-8

Step-by-step explanation:

it shifted down 8 units

Answer:

f(x)= h(x)+8

Step-by-step explanation:

Answer:

π r² h/3

Step-by-step explanation:

(pi x radius to the 2nd power times height divided by 3 )

π r² h/3

insert the height at the letter (h)

convert π to 3.14

insert radius at letter (r)

Step-by-step explanation:

[tex]sinθ = \frac{3}{5} \: \: cosθ = \frac{4}{5} \\ now \\ tanθ = \frac{sinθ}{cos θ } \\ = \frac{3}{5 } \div \frac{4}{5} \\ = \frac{3}{5} \times \frac{5}{4} \\ = \frac{3}{4} [/tex]

Hope it will help :)❤

Find the stationary points.

f(x) = x + 16/x

f '(x) = 1 - 16/x ²

Solve f '(x) = 0.

1 - 16/x ² = 0   →   x ² = 16   →   (x - 4) (x + 4) = 0

→   x = -4, x = 4

Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.

f (4) = 8

Check the value of f at the boundary of the domain.

f (0.2) = 401/5 = 80.2

f (16) = 17

Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.

Answer:

156 ft³

Step-by-step explanation:

Volume of the composite solid = volume of the square prism + volume of the square pyramid

Volume of rectangular prism = a²h

a = 6 ft

h = 3 ft

Volume = 6²*3 = 36*3

Volume = 108 ft³

Volume of square pyramid = ⅓(a²*h)

a = 6 ft

h = 4 ft

Volume = ⅓(6²*4) = ⅓(36*4)

Volume = 48 ft³

Volume of the composite solid = 108 + 48 = 156 ft³

Answer:

6.02

Step-by-step explanation:

(41.12 - 5) / 6

= 6.02

Answer and Step-by-step explanation:

The values should go in this order:

7 × 6 - 4

^ That is the correct way. this is because the 4 is being subtracted from the product, not the other way around.

#teamtrees #PAW (Plant And Water)

Answer:

e is ya answer hope you have a blessed day

Step-by-step explanation:

Answer:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.

Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

Step-by-step explanation:

Edge 2021

The type I error and type II errors for this condition are given by: Option A:

The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).

The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).

For this case, the hypotheses laid down are:

Thus, we get:

Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.

Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.

Therefore, the type I error and type II errors for this condition are given by: Option A:

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