Prove that 3^17−3^15+3^13 is divisible by 73.

HELPPPPPP PLEASEEE

Answers

Answer 1

Answer:

Well 3^17-3^15+3^13 equals 116,385,579

Now divide that by 73

So 116,385,579 ÷ 73

That equals 1,594,323

Hope this helps

Answer 2

Answer: 3^13*73

Step-by-step explanation:

3^17-3^15+3^13 So you factor out 3^13

=3^13(3^4-3^2+1)

3^4-3^2+1=73

3^13*73


Related Questions


Would you consider data on grades (of a particular class)
collected over two semesters to be cross-sectional or times series
data and why?

Answers

The data on grades (of a particular class) collected over two semesters would be considered as time series data.

Time series data refers to any set of data collected over time, where time acts as a variable in the data set. Time series data consists of repeated measurements of the same variable taken over regular intervals of time.

A time series is a collection of observations obtained by observing a single variable or a single data point over a certain period of time. Time series data are ordered sequentially and collected at evenly spaced intervals of time. In this question, the grades were collected over two semesters, which are considered a series of two data points that were collected over time. Hence, it is a time series data.

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The data on grades (of a particular class) collected over two semesters would be considered time series data whereas Cross-sectional data is a type of data that is collected at a particular point in time.

The data on grades (of a particular class) collected over two semesters would be considered time series data. This is because time series data is collected over time at regular intervals, and in this case, the data is collected over two semesters, which are specific periods of time.

Time series data is a type of data that is collected over time at regular intervals. This type of data is commonly used in various fields such as economics, finance, and statistics. Time series data is useful in identifying trends, seasonal patterns, and cycles within the data. It can also be used to predict future values based on the patterns that are observed within the data.

Cross-sectional data is a type of data that is collected at a particular point in time. This type of data is commonly used in surveys and opinion polls. Cross-sectional data is useful in identifying the characteristics of a particular group of people or entities at a particular point in time. It is also used to compare the characteristics of different groups of people or entities at the same point in time.

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Adrian can purchase an 11-pound item from several different sellers. Which is the best buy?
1. Buy online for $50 plus pay shipping and handling costs of $0.89 per pound.
2. Buy online for $57 plus pay shipping and handling costs of $0.49 per pound.
3. But at a local store where the price is $60 and use a $5-off coupon.
4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Answers

Answer:

4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Step-by-step explanation:

For the sake of someone needing help present time this is how you do it;

1st- 50 + (.89 x 11) = 59.79

2nd- 57 + (.49 x 11) = 62.39

3rd- 60 - 5 = 55

4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer

Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Which two statements must be true based on the information indicated by the diagram?

A. AC=~ BD

B. Triangle ABC =~ Triangle CDA

C.AB =~ DC

D. Angle ABD =~ Angle DBC


Answers

Option A,Option B and Option C is correct

What is parallelogram?

Parallelogram is 4 sided closed figure with opposites parallel and equal

Given,AB=CD

AD=BC

Since, its opposite sides are equal, it is a parallelogram.

∴ΔABD≅ΔBCD

AC= BD(By CPCTC)

B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)

C.AB =DC(Given)

D. Angle ABD =~ Angle DBC(wrong)

Therefore,Option A,Option B and Option C is correct

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Answer:

( B )              △ABC ≅ △CDA

( C )                    AB ≅ DC

Step-by-step explanation:

Khan Academy;

ABC = CDA, but ≅ means approximately which is also true.

AB = DC, because the distance matches.

Suppose there are 8 boys and 7 girls in a classroom. If one student is chosen at random to run a errand. What is the probability that the student will be a girl?

Answers

Answer:

47%

Step-by-step explanation:

There are 15 total students, so find the percentage of girls out of the total students: 7/15= .466, which is about 47%. To double check, you can do the boys and make sure it adds to 100%. 8/15= .533, which is about 53%. 47+53=100. So girls are 47% and boys are 53%

PLEASE HELP!!

I don’t know how to solve Law of Sines, it doesn’t make sense to me.

I’ll award the brainliest!

Answers

In ΔABC is an oblique triangle with sides a,b and c , then asinA=bsinB=csinC . To use the Law of Sines you need to know either two angles and one side of the triangle (AAS or ASA) or two sides and an angle opposite one of them (SSA).

Find the confidence interval specified. The mean score, X, on an aptitude test for a random sample of 9 students was 75. Assuming that o= 10, construct a 95.44% confidence interval for the mean score, u, of all students taking the test. Select one: O 55 to 95 O 68.3 to 81.7 0 72.8 to 77.2 O 70.0 to 80.0

Answers

The 95.44% confidence interval for the mean score is approximately 68.47 to 81.53. Among the given options, the closest match is 68.3 to 81.7. Option b is correct.

To construct a confidence interval for the mean score, we can use the formula:

CI = X ± Z × (σ / √n)

where X is the sample mean, Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

In this case, the sample mean X is 75, the population standard deviation σ is 10, and the sample size n is 9. The desired confidence level is 95.44%, which corresponds to a z-score of approximately 1.96.

Plugging in these values, we get:

CI = 75 ± 1.96 × (10 / √9)

  = 75 ± 1.96 × (10 / 3)

  ≈ 75 ± 6.53

Therefore, the 95.44% confidence interval for the mean score is approximately 68.47 to 81.53.

Among the given options, the closest match is 68.3 to 81.7, so the correct answer is b.

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Determine the extreme point (x*, y*) and its nature of the following function: z = 25x + 16y - 4xy - 2x² - y² + 30

Answers

The extreme point (x*, y*) of the function z = 25x + 16y - 4xy - 2x² - y² + 30 is  (-1.75, 8) and it is a maximum point.

To find the extreme point and its nature, we need to take the partial derivatives of the function with respect to x and y and set them equal to zero. The extreme point occurs when both partial derivatives are zero.

Taking the partial derivatives, we have:

∂z/∂x = 25 - 4y - 4x

∂z/∂y = 16 - 2y

Setting these derivatives equal to zero and solving the system of equations, we find:

25 - 4y - 4x = 0 ...(1)

16 - 2y = 0 ...(2)

From equation (2), we can solve for y:

2y = 16

y = 8

Substituting this value of y into equation (1), we can solve for x:

25 - 4(8) - 4x = 0

25 - 32 - 4x = 0

-4x = 7

x = -7/4 = -1.75

Therefore, the extreme point (x*, y*) is (-1.75, 8).

Since the second derivative test confirms that the point is a maximum, we can conclude that the extreme point (x*, y*) =  (-1.75, 8) is a maximum point.

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ASAP‼️ DUE TONIGHT❕‼️

Answers

Answer:

99.95 yd

Step-by-step explanation:

Used the formulas

C=2πr

d=2r

Compute the z-score if X = 60, p = 10, and a = 30. Report your answer to the third decimal place. Answer: Question 17 Not yet answered Points out of 0.80 Flag question 17. In a normal distribution, what proportion of people have a score above 50 when : -30, and o-15? Report your answer to the fourth decimal place.

Answers

Approximately 0.0668 or 6.68% of people have a score above 50 in the given normal distribution.

To compute the z-score, we can use the formula:

z = (X - μ) / σ

Where:

X = observed value

μ = mean of the distribution

σ = standard deviation of the distribution

Given:

X = 60

μ = 10

σ = 30

Substituting these values into the formula:

z = (60 - 10) / 30

z = 50 / 30

z = 1.667 (rounded to three decimal places)

Therefore, the z-score is approximately 1.667.

Moving on to the second question, we need to find the proportion of people with a score above 50 in a normal distribution with a mean of -30 and a standard deviation of 15.

To calculate this proportion, we can use a standard normal distribution table or a statistical calculator. From the standard normal distribution table, we can find the area to the left of 50, which is 0.9332 (rounded to four decimal places).

Since we want the proportion above 50, we subtract this value from 1:

Proportion = 1 - 0.9332 = 0.0668 (rounded to four decimal places)

Therefore, approximately 0.0668 or 6.68% of people have a score above 50 in the given normal distribution.

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Please help due today:///

Answers

Answer is 80 because 50 * 12 = 600
Then 600-520= 80

In a sample of 40 people 40% are black. Test the null hypothesis that the population proportion of black 0.2 against the altemative hypothesis that proportion is not equal to 0.2. Find the p value. DA 0.5186 O 0.0015 OC 0.0528 OD 0,1967

Answers

In this case, the p-value is not provided in the question, so the actual value needs to be calculated using the appropriate statistical test.

What is the correlation coefficient between two variables when their covariance is 120 and their standard deviations are 15 and 10, respectively?

In hypothesis testing, the p-value represents the probability of obtaining the observed sample data, or more extreme data, assuming that the null hypothesis is true.

It measures the strength of evidence against the null hypothesis.

In this case, the null hypothesis is that the population proportion of black people is 0.2.

The alternative hypothesis is that the proportion is not equal to 0.2, indicating that there may be a difference in the population proportion.

To find the p-value, a statistical test (such as a proportion test) is performed using the sample data.

Based on the given information, the p-value is the probability associated with the test statistic obtained from the test.

The p-value indicates the likelihood of observing a proportion as extreme or more extreme than the one observed in the sample, assuming the null hypothesis is true.

A smaller p-value suggests stronger evidence against the null hypothesis.

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Decide whether the composite functions, fog and gof, are equal to x. f(x) = * 1,5 g(x) = 2x - 5 - +5 2 O No, no O Yes, yes O Yes, no O No, yes.

Answers

No, neither fog nor gof is equal to x. The expressions fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5 have different constant terms, indicating that they are not equal to x. The correct option is O (No, no.)

To determine whether the composite functions, fog and gof, are equal to x, we need to evaluate them using the functions f(x) = 1/5x and g(x) = 2x - 5.

First, let's calculate fog:

fog(x) = f(g(x)) = f(2x - 5) = 1/5(2x - 5) = 2/5x - 1

Next, let's calculate gof:

gof(x) = g(f(x)) = g(1/5x) = 2(1/5x) - 5 = 2/5x - 5

Comparing fog and gof, we can see that they are not equal to x. Specifically, fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5.

Therefore, the correct option is "No, no" as neither fog nor gof is equal to x.

Alternatively, if we simplify fog and gof as a single expression, we have fog(x) = 2/5x - 1 and gof(x) = 2/5x - 5. Since both expressions have different constant terms, they cannot be equal to x.

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Identify the volume the solid of revolution that is produced when
a rectangle with length 6 and width 3 is rotated around one of its
shorter sides.

Answers

Answer:

Step-by-step explanation:

Please see picture. Which statement must be true?

Answers

Choose C.

x^2 = a/b must be true.

Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.

For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
-8k^-4/k^6

Answers

Answer:

i have to see the assigment

Step-by-step explanation:

                                                                                               

Simplify w x 12 x 3
Helppp

Answers

Answer:-x • (w2 - 12)

 ——————————————

       3w      

Find the exact value of sin 105º.

Answers

Answer:

sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or

                                    = (1 / √2)(1 / 2)        + (1 / √2)(√3 / 2)

                                         1 + √3

                                    = -------------

                                           2√2

Step-by-step explanation:

value is 1
(according to my calculator)

The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.

Answers

Answer:

25.7 m

Step-by-step explanation:

The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter.  Thus, the formula for the circumference is C = (d)(pi).  The perimeter of a semicircle is half that, or

C = (pi)(r), which here is (3.14)(5 m) = 15.7 m.  Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:

P = 15.7 m + 10 m = 25.7 m

Complete the table for the given rule. 1 Rule: y = x 4 х y 1 4 13 4 2 을​

Answers

Answer:What is the symbol at the end?

Step-by-step explanation:

a boy has only dimes and quarters in his piggy bank. If he has 50 coins worth 7 dollars and 55 cents altogether, how many quarters does he have in his bank​

Answers

Answer:

30.2

Step-by-step explanation:

a qurter is 25 and there is 100 cents in a dollar so u do 755 divided by 25

If I have a two-way between subjects ANOVA with two groups per factor, how many factors do I have and how many groups do I have overall in my study? (Hint: the first number should be the number of factors that you have and the second number should be the number of groups that you have) 4; cannot be determined O 2; cannot be determined O 4: 2 O 2:4 Question 14 2 pts When doing a two-way between subjects ANOVA, can I concurrently have both a main effect and an interaction? No Yes Question 15 2 pts I do a two-way between-subjects ANOVA and find that my interaction F-test is significant. What do I do next? I would do a post-hoc Tukey test o I would look at my b-weights to see which variables are significant o I would do a post-hoc Bonferroni test I would do a simple main effects analysis Question 16 2 pts True or false: when I have an interaction in a two-way between-subjects ANOVA, the means across the levels for one factor significantly varies depending on which level of the second factor a person is looking at. True False Question 17 2 pts What type of correlation would I use if I have two factors that are both on an ordinal (or rank) scale? Spearman Phi (or a chi-square) Pearson O Point-biseral (or a t-test) D Question 18 2 pts When doing a multiple regression, how many outcome variables would I normally have in my model or analyses? As many as I think is relevant for my study 0 1 02 Question 19 2 pts What does b refer to in a regression analysis? Constant Unstandardized weight of a predictor variable Outcome variable Standardized weight of a predictor variable Question 20 2 pts a I do a multiple regression and find that my overall regression model is significant What do I do next? I would do a post-hoc Tukey test I would do a post-hoc Bonferroni test I would do a simple main effects analysis I would look at my b-weights to see which variables are significant D Question 21 2 pts Which of the following shows the largest positive standardized regression weight? ob' = -0.30 ob -0.15 Ob* -0.35 Ob -0.38

Answers

To answer your questions:

14. In a two-way between-subjects ANOVA with two groups per factor, you have 2 factors and a total of 4 groups in your study.

15. If the interaction F-test in a two-way between-subjects ANOVA is significant, the next step would be to conduct a post-hoc analysis to explore the specific group differences and determine the nature of the interaction effect. The choice of post-hoc test (e.g., Tukey, Bonferroni) would depend on the specific research question and the number of comparisons being made.

16. True. When there is an interaction in a two-way between-subjects ANOVA, it means that the means across the levels of one factor significantly vary depending on which level of the second factor is being considered.

17. If you have two factors that are both on an ordinal (or rank) scale, you would use the Spearman correlation coefficient to measure the relationship between these factors.

18. In a multiple regression analysis, you can have multiple outcome variables, but typically you would have only one outcome variable that you are trying to predict.

19. In a regression analysis, the "b" refers to the unstandardized weight (also known as the regression coefficient) of a predictor variable. It represents the change in the outcome variable for a one-unit change in the predictor, holding other predictors constant.

20. If the overall regression model is significant, the next step would be to examine the individual predictor variables (b-weights) to determine which variables are significant in predicting the outcome variable.

21. The largest positive standardized regression weight is represented by ob* = -0.35.

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Help me for more points right answer only

Answers

Answer:

slope- intercept form

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Please help me on this question if you would want brianleist!! Tank yah!! ^^

Answers

Answer: And the answer is b 6,7

Step-by-step explanation:

Did you meant “Please help me on this question if you would want brainliest!! Thank you!!”

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
What is m∠U?
A. 17
B. 29
C. 46
D. 134

Answers

Answer: 17°

Explanation: First find angle TVU. Line TV is straight line so 180°. Subtract 180 from 46 to find angle TVU. Angle TVU = 134.

All angles of a triangle adds up to 180. Find angle U by subtracting 180 by angle TVU and angle T. 180 - 29 - 134 = 17

Answer:

D.46

Step-by-step explanation:

180-46-29= 105

angle V, 46 degree, and T= equal 180

105= V

t= 29

v+t+u= must equal 180 because all triangle equal 180 degrees

105+29+u=180

u=-105-29+180

u=46

I need this answered quickly!
Please and Thank you!

Answers

Answer:

A

Step-by-step explanation:

-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.

8/10=6/5 what is this

Answers

Answer:

Hi! You're uspposed to check the equality, and it is false. 8/10 is not equal to 6/5.

However, If you add the two together by making the common denominator 10, you will get 20/10 or 2.

Answer:

4/5=6/5 :3

Step-by-step explanation:

Find the perimeter of the polygon if
5 cm

6 cm

7 cm

P = ? Cm

Answers

Answer:

(2) is the answer for your question

2. A cereal box is in the shape of a rectangular
prism. What is the volume of the cereal box?
Express your answer as a decimal rounded
to the nearest tenth if necessary.

Answers

Answer:

169.8 or 169 4/5

Step-by-step explanation:

Times all of the numbers together

The volume of a rectangular prism can be written as 168 cubic in

What is the volume of a rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

WE are given the dimensions as;

length= 8 in

Width = 1 3/4 = 7/4

Height = 12 1/8 = 96/8 in

Thus, the volume of a rectangular prism can be written as:

8 x 7/4 x 96/8

= 168 cubic in

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The radius r of a sphere is increasing at a rate of 5 inches per minute. (a) Find the rate of change of the volume when r = 12 inches.

Answers

To find the rate of change of the volume when the radius is 12 inches, we can use the formula for the volume of a sphere:

V = (4/3) * π * [tex]r^3[/tex]

To find the rate of change of the volume, we need to take the derivative of the volume function with respect to time (t) using the chain rule. The derivative of the volume function with respect to time will give us the rate of change of the volume.

dV/dt = (dV/dr) * (dr/dt)

where dV/dt is the rate of change of the volume, dV/dr is the derivative of the volume with respect to the radius, and dr/dt is the rate of change of the radius.

Given that the radius is increasing at a rate of 5 inches per minute (dr/dt = 5), we can substitute this value into the formula.

Now, let's calculate the derivative of the volume with respect to the radius (dV/dr):

dV/dr = d/dt [(4/3) * π[tex]* r^3[/tex]] = (4/3) * π * [tex]3r^2[/tex]= 4π[tex]r^2[/tex]

Substituting the values into the formula for the rate of change of the volume:

dV/dt = (dV/dr) * (dr/dt) = 4π[tex]r^2[/tex]* 5 = 20π[tex]r^2[/tex]

When the radius is 12 inches (r = 12), we can plug this value into the formula to find the rate of change of the volume:

dV/dt = 20π[tex]r^2[/tex] = 20π(1[tex]2^2[/tex]) = 20π * 144 = 2880π

Therefore, when the radius is 12 inches, the rate of change of the volume is 2880π cubic inches per minute.

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Which numbers are integers?Check all that apply.
15
-9
Two-thirds
6 and StartFraction 1 Over 9 EndFraction
0
-3,128
4.76

Answers

Answer:

the intergers include all negative whole numbers,zero,positive whole numbers

Answer:

the answer is 15. -9. 0. -3,128

Step-by-step explanation:

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Assume that the divorce decree is silent regarding the dependency exemption for the child.A. The custodial parent provides $2,700 of support for the child and the dgusb) nornon-custodial parent provides $3,200.B. The custodial and non-custodial parents each provide $2,300 of support for the child.C. The custodial parent provides $2,500 of support for the child and the non-custodial parent provides $1,200.D. The custodial parent provides $2,500 of support for the child, the non-custodialparent provides $2,900, and the child has gross income of $2,000.E. None of the above Suppose you are consuming two goods, A and B. Your marginal utility of good A is 28, and your marginal utility of good B is 3. The price of good A is $2100, and the price of good B is $2.00. a. In this case, you are [not maximizing your total ublity b. You should consume: Instructions: You may select more than one answer. 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Find the cumulative distribution function (cdf) of X. the following equation shows the formation of water from hydrogen and oxygen. 2h2 o2 2h2o how many grams of water will form if 10.54 g h2 reacts with 95.10 g o2? g h2o Solve the system of linear equations using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions involving one parameter, enter the solution using t for the last variable.) 3x - 2y + 4z = 30 2x + y 2z = -1 x + 4y - 8z = -32 (x, y, z) vadim has a piece of evidence that contains visible data. which type of evidence does vadim likely have? group of answer choices print spool file Consider the following scenario analysis:Rate of ReturnScenario Probability Stocks BondsRecession 0.20 5 % 14 %Normal economy 0.60 15 8 Boom 0.20 25 4 b. Calculate the expected rate of return and standard deviation for each investment. (Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.) If Taxpayer requests an extension of time to file her individual tax return, the latest she may pay any tax due without penality is In a perpetual inventory system, two entries are normally made to record each sales transaction. The purpose of these entries is best described as follows:a.One entry recognizes the sales revenue and the other recognizes the cost of goods sold.b. One entry records the purchase of merchandise and the other records the sale.c. One entry records the cost of goods sold and the other reduces the balance in the Inventory account.d, One entry updates the subsidiary ledger and the other updates the general ledger Which of the following is not a factor affecting the number of lamps required?A ) Fixture efficiencyB ) Lamp lumen outputC ) Room size and shapeD ) Availability of natural lightE ) # of people in the room Last year Nicole bought 200 shares of Burlington common stock at $255.00 per share. During the year he received dividends of $3.50 per share. Currently, the shares were sold for $302.00. What is the rate of return earned by Nicole for the year?Answer: Yield=_____________________________________Show Formula and Procedure (explanation) Each data point on a scatter plot representsa. the frequency of occurrrenceb. a pair of scoresc. a score on one measurementd. none of these Erica came to Australia from the United States on a working holiday on 1 December 2019 when she finished college. Her parents were separated, and she had been living between their houses over the last 3 years. All her belongings were packed in a box and stored in her father's basement when she left for Australia. Over the last 7 months Jane has worked in various jobs in Sydney staying with various friends and relatives then she went travelling down the east coast of Australia. At the end of September 2020, she left for New Zealand and intends to go back to the United States in 2022. 1 Outline the tax residency consequences for Erica. Explain your answer with reference to the relevant legislative provisions, case law and the relevant guidance provided by the ATO. Enhance Understanding and Develop Analytical Skills 3.1 On the basis of Mendel's observations, predict the results from the following crosses with peas: (a) A tall (dominant and homozygous) variety crossed with a dwarf variety (b) The progeny of (a) self-fertilized. (c) The progeny from (a) crossed with the original tall parent. (d) The progeny of (a) crossed with the original dwarf parent. 3.2 Mendel crossed pea plants that produced round seeds with those that produced wrinkled seeds and self-fertilized the progeny. In the F,, he observed 5474 round seeds and 1850 wrinkled seeds. Using the letters W and w for the seed texture alleles, diagram Mendel's crosses, showing the genotypes of the plants in each generation. Are the results consistent with the Principle of Segregation? 3.3 A geneticist crossed wild, gray-colored mice with white (albino) mice. All the progeny were gray. These progeny were intercrossed to produce an F, which consisted of 198 gray and 72 white mice. Propose a hypothesis to explairn.