Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black?

Answers

Answer 1

Answer:

[tex]P(Pink) = \frac{1}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black

Step-by-step explanation:

Represent the pink skin with P and the black skin with B.

Since black skin is dominant to pink skin, there will be more occurrence of B than P

The punnet square for the breeding of the two pigs is then represented as:

[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]

Solving (a): Probability of Pink

In the above square, there is only 1 occurrence of P out of a possible of 4.

So, the probability is:

[tex]P(Pink) = \frac{n(P)}{4}[/tex]

[tex]P(Pink) = \frac{1}{4}[/tex]

Solving (b): Probability that first and second are black

In the above square, there is only 3 occurrence of B out of a possible of 4.

[tex]P(Black) = \frac{n(B)}{4}[/tex]

[tex]P(Black) = \frac{3}{4}[/tex]

So, the probability that both are black is:

[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]

[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

Solving (c): Probability of two pink and 1 black

This is calculated as:

[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]

[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]

[tex]Probability = \frac{3}{64}[/tex]

Answer 2

A) The probability that their offspring will have pink skin is; ¹/₄

B) The probability that the first and second off- spring will have black skin is;

9/16  or 56.25%

C) The probability that two will be pink and one will be black  If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%

Mendel's law of dominance

To answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.

Now in this question, we are told that;

black skin colour is dominant to Pink skin colour in pigs.

Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"

Now when the heterozygous pigs specified as "Pp" are crossed, we have;

Pp × Pp = PP, Pp, Pp, pp

where;

PP and Pp denotes black pigs is denoted pp denotes pink pigs

(a) From the 4 cross possibilities above;

Probability that their offspring will have pink skin = ¹/₄

(b) From the 4 cross possibilities gotten earlier;

Probability that their offspring will have black skin = ³/₄

Thus;

Probability that the first and second off- spring will have black skin is;

³/₄ × ³/₄ = 9/16  or 56.25%

(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;

P(2 pink and 1 black) =   ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%

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Related Questions

The sales tax for an item was $36.80 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

16,928

Step-by-step explanation:

just solve it in calculation so you can see the answer

and remember study hard to go to bts concert joke to your dream

Does anybody know the answer to this

Answers

Answer: I believe it's b

Step-by-step explanation:

\pi = 3.14159265...

It is most likely b

It is definitely b if I’m sure

PLZ HELP WILL GIVE BRAINLEST

Answers

Answer:

The first one (Cedric is correct because he used the inverse of subtraction and added 4.5)

Step-by-step explanation:

First....I'll do it my way

z - 4.5 = -1.5

Add 4.5 on both sides

z - 4.5 + 4.5 = -1.5 + 4.5

z = 3

This should be our answer.....and so who did it right?

Cedric did

Which is the true statement?

Cedric is correct because he used the inverse of subtraction and added 4.5

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?

Answers

Answer:

$12.49

Step-by-step explanation:

cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98

cost of one purse = $24.98 ÷ 2 = $12.49

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

x = 12

Step-by-step explanation:

Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?

Answers

Answer:

The answer is after 3 weeks you will have the same amount of money

Step-by-step explanation:

5x + 20 = 10x +5

5x - 10x = 5 -20

-5x = -15

x = -15/-5

x = 3

Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19

Answers

A is correct trust promise

Answer:

The simplified expression is 6k+19 .

Step-by-step explanation:

Miles Traveled
225
175
Miles
125
75
25
X
0 1 2 3 4 5 6 7 8 9 10
Hours

Answers

Sorry I’m confused is there supposed to be a picture

Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools

Answers

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

The population of interest will most likely be option B. all of the sea urchins near the plant.

The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.

A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.

For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.

Learn more about population of interest here:

brainly.com/question/16976252

Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive

Answers

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.

What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?

Answers

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

Manny bought a car for $32,985. Five years later, the car was worth $19,500. Find the percent of change in the value of the car.

Answers

Answer:

is 40.9

Step-by-step explanation:

The percent of change in the value of the car is 40.88%

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.

Percentage change = (32985-19500)/32985*100 = 40.88%

Hence, The percent of change in the value of the car is 40.88%

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ2

plzzz help I picked A already and it was wrong

Answers

Answer:

probably C I'm terrible at math but that look about right

10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)

Answers

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?

Answers

Answer:

in 2030 the land will aproxmatly be worth $113750

Step-by-step explanation:

Suppose that the functions g and f are defined as follows.

g(x)=-3+2x^2
f(x)=9-6x

a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f

If there is more than one value, separate them with commas.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]

Calculating the value of [tex](\frac{g}{f})(2)[/tex]:

[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]

               [tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]

x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.

Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]

© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =

Answers

ANSWER:: X= -2

HOPE IT HELPS!!! :D

. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected

Answers

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]

This spyware is detected 66% of the time.

can someone show me the problems to 4/3 x 2/5 and 2/5 divided by 4/3

Answers

Answer:

8/15 and 3/10

Simply (2^3)-2


0 - 1/64
0 1/64
0 2
0 64

Answers

The correct answer is,

[tex] \frac{1}{64} [/tex]

Answer:

1/64

Step-by-step explanation:

when exponents are separated by parentheses, multiply them

so (2³)^-2 = 2^-6

whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive

2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]

Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.

Answers

Answer:

8y + 7

Step-by-step explanation:

add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7

The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.

Answers

Answer:

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54

The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?

Answers

Answer:

The width of the rectangle = 1.15 inches

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]

The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²

We have to find the width of the rectangle

The area of the rectangle = length × width

                                  [tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]

                    ⇒     2 × 2.3 = 4× width

                   ⇒      4.6 = 4 w

                  ⇒      w = 1.15 inches

Final answer:-

The width of the rectangle = 1.15 inches

A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field

Answers

Answer:

it is 679

Step-by-step explanation:

Which point is a solution to the equation 2x - y = 4?

Answers

Answer:

2x=  1 /2 y+ 2

Step-by-step explanation:

Solve for x.

2x−y=4

Add y to both sides.

2x−y+y=4+y

2x=y+4

Divide both sides by 2.

2x /2  =  y+4 /2

x= 1/ 2 y+2

The required point that is the solution to the equation 2x - y = 4 is at (2, -4)

In order to get the solution to the equation, we will need to get its x and y-intercept.

x- intercept is the point where y is zero.

Given the equation 2x - y = 4

If y = 0

2x - 0 = 4

2x = 4

x = 4/2

x = 2

Get the y-intercept

y intercept is the point where x = 0

if x = 0

2(0) - y = 4

-y = 4

y = -4

Hence the y-intercept is -4

The required point that is the solution to the equation is at (2, -4)

Learn more here: https://brainly.com/question/24609929

Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer

Answers

8,14,20,26

8 to 14 is 6
14 to 20 is 6
20 to 26 is 6


The next term will be 26 + 6 = 32

Because there is a gap of 6 between each number

60% of what number is 33?

Answers

60 percent (calculated percentage %) of what number equals 33? Answer: 55.

Answer:

55 :)

Step-by-step explanation:

find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm

need full solution or I'll report ​

Answers

Question:

find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm

Required diagram :

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{ 70 \: cm}}\put(9,17.5){\sf{h}}\end{picture}[/tex]

Solution :

For a cylinder having a radius r and a height h ;

Volume Of Cylinder :

π r² .

Here , the radius of the cylinder is given as 70 cm and the volume is 1.54 m³ .

Converting ;

1 m³ = 1 × 10⁶ cm³ .> 1.54 × 10⁶ cm³ .> 1540000 cm ³.> π r² h = 1540000> 22/7 × 70 × 70 × h = 1540000> 22 × 10 × 70 h = 1540000> 15400 h = 1540000> h = 100 cm = 1 m.

The height of the cylinder is 100cm.=1m.

Set up an equation and use it to solve for X
(6x + 3)
33°

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

The angles of a linear pair are supplementary.

  (6x +3)° +33° = 180°

  6x = 144 . . . . . . . . . . . divide by °, subtract 36

  x = 24 . . . . . . . . divide by 6

7. Chris used some square tiles to make an array. He made 8 equal rows
and had 3 tiles left over. He started with more than 80 tiles, but less than 100.
a) How many tiles did he start with? Find more than one answer.
Show your steps.

Answers

Answer:

83  and 91

Step-by-step explanation:  10 rows of 8.

8x10 =80

80+3=83

Next option 11 rows of 8

8x11=88

88+3=91

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