16
Select the correct answer from each drop-down menu.
4
Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not
The results of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to a
random selected person.
Has Eaten Snack A
before
Prefers Snack A
144
2 Edmentum. All rights reserved.
Type here to search
Prefers Snack B
Has Not Eaten
108
Snack A before
Total
252
320
Complete the conclusions based on the data in the table.
92
O
228
Total
236
Given a person who has eaten snack A before, the customer will
Given a person who has not eaten snack A before, the customer will want to eat snack
Reset
336
572
Next
75°F Sunny A
ave & Exit
6:46 AM
6/30/2022

Answers

Answer 1

The conditional probability values are 0.57 and 0.43

Missing information

               Has Eaten before   Have not           Total

Snack A     144                               108                252

Snack B      92                               228                320

Total          236                              336                572

Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.

Given a person who has eaten snack A before, the customer will want to eat snack AGiven a person who has not eaten snack A before, the customer will want to eat snack

How to determine the probabilities?

The required probabilities are conditional probabilities, and they are calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula, we have:

The probability that a customer eats snack A given that the customer has eaten snack A before, to be:

P = n(Have eaten snack A)/n(Snack A)

This gives

P = 144/252

Evaluate

P = 0.57

Also, we have:

The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:

P = n(Have not eaten snack A)/n(Snack A)

This gives

P = 108/252

Evaluate

P = 0.43

Hence, the probabilities are 0.57 and 0.43

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Related Questions

Question 1 of 10
Solve 10x+16 ≥ 6x+ 20.
O A. x29
OB. x≤ 1
OC. x2 1
OD. x≤ 9

Answers

Answer: I think B. Explain:

The Law of Sines states that sin A/b = sin B/c = sin C/a

True
False

Answers

False
Law of signs is
SinA = SinB = SinC
——- ——- ———
a. b. c.
A= angle A
a= length of side A
B= angle B
b= length of side B
C= angle C
c= length of side C

Step-by-step explanation:

hope you can understand

If p() = x2 - 1 and q(x) - 5(x-1), which expression is equivalent to (p - q)(x)?

Answers

Answer:

[tex]\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to}[/tex] [tex]\text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}[/tex]

Step-by-step explanation:

Given:

p(x) = 2x2 - 1q(x) = 3(x - 1)

To find:

(p - q)(x)

We know:

(p - q)(x) = p(x) - q(x)

Substitute

(2x^2 - 1) - 3(x - 1)

[tex]\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}[/tex]

2x + 5y = 17 6x - 5y = -9

Answers

Answer:

Step-by-step explanation:

find the new prices after the given percentage increases.
a] £35 increased by 10%
b} £105.99 increased by 12%

Answers

Answer:

a] 38.5$
b] 118.71$

Step-by-step explanation:

A)35$ was increased by 10%
So:
10% of 35$
10/100 x 35 ($)
3.5$
So 35$ was increased by 3.5$ and the new price is 38.5$
B)105.99$ was increased by 12%
So:
12% of 105.99$
12/100 x 105.99$
=12.7188$
Let's round it to the nearest hundredths:
12.72$

So 105.99$ was increased by 12.72$ and the new price is 118.71$

HOPE IT HELPS :D
Tip: "of" means multiplication in Maths.

What is 9 squared?
Why?
Why do we call this "Squared"?
What is 5 cubed?
Why?
Why do we call this "Cubed"?

Answers

Answer:

The squared root of 9 is 3

Why - Half of 9 is 3

Why do we called this squared - It is the positive solution of the equation x2 = 9. The number 9 is a perfect square.

5 Cubed is equal to 125

Why - The number 125 on prime factorization gives 5 × 5 × 5. On combining the prime factors in groups of 3 gives 5

Why do we call this cubed = The cube of a number is that number times itself times itself. 5 cubed, denoted 53, is equal to 5×5×5, or 125.

If the degree of a polynomial function is even and the leading coefficient is negative, then the end behavior of the function is?

Answers

Answer:

Its the last option.

Step-by-step explanation:

The function will  rise from the left and descend to the right.

f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝

How many complex roots does the equation 0=3x5−x4−5x2+1 have?

Answers

the equation has 5 complete roots

5

The given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The given polynomial equation below is:

0 = 3x⁵ − x⁴ − 5x² + 1

3x⁵ − x⁴ − 5x² + 1 = 0

The given polynomial equation is a polynomial of degree 5.

The simplest method is to solve it graphically using a graphing program.

Clearly, the polynomial equation is a degree 5 equation, hence it has a maximum of 5 roots.

We may now locate the roots of the equation using the graph.

Since there are 3 real roots, the remaining are two complexes, so there are 2 complex roots

Hence, the given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.

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A,B and C are points in the cartesian plane. the coordinates of A are (3,-2),BA=(4,-3)and AC=(4,9). Calculate
i. the coordinates of B and C​

Answers

If BA and AC are vectors then AB= (-4 3)
Then B is at (3 - 4, -2 + 3) = (-1, 1)
and C is at (3 + 4, -2 + 9) = (7, 7)

Choose the correct simplification of the expression (2x7y)2(y5)3.

Answers

The correct simplification of the expression is  4x¹⁴y¹⁷

Given,

The expression is (2x⁷ y)² (y⁵)³

To distribute the exponent, apply the power rule (ab)ⁿ = aⁿbⁿ

Implement the product rule to (2x⁷y)².

Here, we have a = 2x⁷ , b = y and n = 2

=(2x⁷)² y²(y⁵)³

= 2²(x⁷)² y²(y⁵)³

= 4(x⁷)² y²(y⁵)³

Now exponents should be multiplied while using the product rule.

The product rule is (aˣ)ⁿ = aˣⁿ

We apply this to (x⁷)² and (y⁵)³

So the expression becomes,

=4x⁷·² y² (y⁵·³)

= 4x¹⁴ y² y¹⁵

∵ In exponents we have a rule that if bases are same then powers are added i.e, aˣ aⁿ = aˣ⁺ⁿ

∴ 4x¹⁴ y¹⁵ ⁺ ²

= 4x¹⁴ y¹⁷

Hence we get the answer as 4x¹⁴ y¹⁷

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Yaqub, Angus and Iris share 18 slices of pizza in the ratio
1:3:2.
How many slices of pizza does Iris have?

Answers

Answer:

6 Slices

Step-by-step explanation:

Total units = 1 + 3 + 2 = 6 Units

6 Units = 18 Slices of Pizza

Iris shared 2 units.

1 Unit = 18/6 = 3 Slices of Pizza

2 Units = 2 * 3 = 6 Slices of Pizza

HELP !!!
Which of the following best describes the slope of the line below?
• A. Negative
O B. Zero
• C. Positive
D. Undefined

Answers

The answer to this is negative

Mr. McMillan and Ms. Burke are teaching their classes how to write in cursive. Mr. McMillan has already taught his class 8 letters. The students in Ms. Burke's class, who started the unit later, currently know how to write 12 letters. Mr. McMillan plans to teach his class 4 new letters per week, and Ms. Burke intends to cover 3 new letters per week. Eventually, the students in both classes will know how to write the same number of letters. How long will that take? How many letters will the students know?

Answers

The number of weeks by which the students in both classes will know how to write the same number of letters will be 4 weeks.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mr. McMillan and Ms. Burke are teaching their classes how to write in cursive.

Mr. McMillan has already taught his class 8 letters.

The students in Ms. Burke's class, who started the unit later, currently know how to write 12 letters.

Mr. McMillan plans to teach his class 4 new letters per week.

Ms. Burke intends to cover 3 new letters per week.

Eventually, the students in both classes will know how to write the same number of letters.

Then the number of weeks by which the students in both classes will know how to write the same number of letters will be

Let x be the number of the weeks and y be the total number of the letters.

Then the equation will be

y = 4x + 8 …1

y = 3x + 12 …2

Then by solving the equations 1 and 2, we have

x = 4 and y = 24

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A boat leaves a dock and goes 240 miles in a direction of 290 degrees. It then turns and goes 50 miles in a direction on 30 degrees. How far is the boat from the dock and in what direction?

Answers

By Pythagorean theorem and trigonometric functions, the magnitude and direction of the boat are approximately 284.403 miles and 295.043° with respect to the east.

What is the direction and magnitude of the resulting displacement with respect to the origin

In this problem we assume that the first angle is measured with respect to the east side and that the second angle is counterclockwise and measured with respect to the direction of the first vector. First, we need to determine the resulting vector by using trigonometric and vectorial formulas:

(x, y) = (240 · cos 290°, 240 · sin 290°) + (50 · cos 320°, 50 · sin 320°)

(x, y) = (120.387, - 257.666) [mi]

The magnitude is found by Pythagorean theorem:

[tex]r = \sqrt{(120.387\,mi)^{2}+(-257.666\,mi)^{2}}[/tex]

r ≈ 284.403 mi

The direction of the boat is obtained by inverse trigonometric functions:

θ = tan⁻¹ (- 257.666/120.387)

θ ≈ 295.043°

By Pythagorean theorem and trigonometric functions, the magnitude and direction of the boat are approximately 284.403 miles and 295.043° with respect to the east.

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Use the fraction model to multiply: three multiplied by five sevenths. Leave your answer as an improper fraction. (1 point)

three fraction models, each model is partitioned into seven equal parts, with five parts shaded in each model
eight sevenths
eight tenths
fifteen twenty ones
fifteen sevenths

Answers

The product of three and five-sevenths is given by (D) Fifteen sevenths.

In fraction multiplication, we multiply the corresponding position like we multiply numerator with numerator and denominator with another denominator.

The denominator for a whole number is always 1.

Here given the numbers are three and five-sevenths, that is [tex]3,\frac{5}{7}[/tex].

So here since 3 is a whole number then the denominator of it is 1.

We can write 3 as [tex]\frac{3}{1}[/tex].

So product [tex]=\frac{5}{7}\times\frac{3}{1}=\frac{5\times3}{7\times1}=\frac{15}{7}[/tex]

Using the fraction model we get,

Here we can see that there are three bars with seven divisions in which fives are shaded.

So in multiplication with three we have to take the shaded region as the numerator and have to all the shaded and total bar for once.

here a total number of divisions in one bar is 7, so the denominator of the product is 7.

A total number of shaded divisions is 15, so the numerator of the product is 15.

So the product is [tex]\frac{15}{7}[/tex], that is fifteen sevenths.

Hence the correct option is (D) Fifteen sevenths.

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Examine the nuclear reaction: superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.. why is this classified as a nuclear reaction rather than a chemical reaction?

Answers

The given reaction is considered as nuclear reaction instead of chemical reaction as the change is coming in the nucleus.

A nuclear reaction is one in which the number of protons or neutrons changes as a result of collisions between two nuclei or an atom and a subatomic particle.

In the given reaction also which is superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.

A neutron is added to the nucleus of a hydrogen atom here. As a result, it is a nuclear reaction.

A chemical reaction involves the acquisition or loss of electrons, which leads in the synthesis of a new molecule while leaving the nucleus of an atom unchanged.

Thus, we can give a conclusion that because a change in a nucleus happened, the described event is categorised as a nuclear reaction rather than a chemical reaction.

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What is the solution to the following equation?
3(x-4)-5-x-3
A. x = 12
B. x=3
C. x=8
D. x = 7

Answers

Answer:

D. x = 7

Step-by-step explanation:

NOTE : there should be an equal sign somewhere in the given expression.

suppose the equation is the following:

3(x-4)-5 = x-3

………………………………………………………

3(x - 4) - 5 = x - 3

⇔ 3x - 12 - 5 = x - 3

⇔ 3x - 17 = x - 3

⇔ 3x - 17 + 17= x - 3 + 17

⇔ 3x = x + 14

⇔ 2x = 14

⇔ x = 14/2

⇔ x = 7

Which ordered pair would form a proportional relationship with the point graphed below?


On a coordinate plane, a line goes through points (0, 0), (10, 40) and (negative 10, negative 40).
(40, 10)
(–5, –10)
(5, 20)
(–10, –20)

Answers

Answer:

(5,20)

Step-by-step explanation:

divide both sides of (10, 40) by the same number 2 and you will get (5,20). The points should all lie on the same straight line to form a proportional relationship.

Answer: 5,20

Step-by-step explanation:

please help i dont know how to do this

Answers

First you have to do the ones in the brackets

which statement is true about fiction ​

Answers

Answer:

The function is even because of symmetry over x axis

If 1=3 2=3 3=5 4=4 5=4 then 6=?​

Answers

The value of the 6 is 3.

If you write 1 in word then you will write one and if you count the letter it will give you 3

Similarly, if you write the numbers 2,3,4,5 in word and count the number you will get 3,5,4,4 respectively.

What are the counting letters?

counting Letters provides a perfect way to introduce number words to beginning readers, as well as discuss the concepts of letters and words.

So, if you write 6 in words you will write six and on counting the letter you will get 3.

Hence, 6 = 3 ans.

Therefore the value of the 6 is 3.

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Jose paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 18 eggs.

Answers

Answer:

$1.68

Step-by-step explanation:

1 dozen is 12.

18 is the same as 12 + 6

6 eggs is half of 12 eggs.

Since 12 eggs cost $1.12, then 6 eggs cost half of $1.12, or $1.12/2 = $0.56.

18 = 12 + 6, so

the price of 18 eggs = the price of 12 eggs + the price of 6 eggs.

price of 18 eggs = $1.12 + $0.56 = $1.68

(x - 4)/(x + 6) - (x - 6)/(x + 4)​

Answers

Answer:

[tex]\frac{20}{(x+4)(x+6)}[/tex]

Step-by-step explanation:

assuming you require the expression simplified

[tex]\frac{x-4}{x+6}[/tex] - [tex]\frac{x-6}{x+4}[/tex]

multiply the numerator/denominator of the first fraction by (x + 4)

multiply the numerator/denominator of the second fraction by (x + 6)

= [tex]\frac{(x-4)(x+4)}{(x+4)(x+6)}[/tex] - [tex]\frac{(x-6)(x+6)}{(x+4)(x+6)}[/tex] ← expand and simplify numerators leaving the common denominator

= [tex]\frac{x^2-16-(x^2-36)}{(x+4)(x+6)}[/tex]

= [tex]\frac{x^2-16-x^2+36}{(x+4)(x+6)}[/tex]

= [tex]\frac{20}{(x+4)(x+6)}[/tex]

Which graph represents the function of f(x) = 4x^2-16/2x-4 ?

Answers

See the graph in the image.

y = (4x² - 16)/(2x - 4)y = [4(x-2)(x+2)]/[2(x-2)]y = 2(x+2), with a domain of all real numbers other than 2

function is a relationship between inputs where each input is related to exactly one output.

The graph of f(x) = (4x² - 16) / (2x - 4) is given below.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function:

f(x) = (4x² - 16) / (2x - 4)

This can be written as,

f(x) = (2x)² - 4² / (2x - 4)       [ a² - b² = (a + b)(a - b) ]

f(x) = (2x - 4)(2x + 4) / (2x - 4)

f(x) = 2x + 4

Now,

We will find the coordinates from the function f(x) = 2x + 4

x = 0, f(x) = 4

(0, 4)

x = 1, f(x) = 6

(1, 6)

x = 3, f(x) = 10

(3, 10)

And so on.....

The graph is given below,

Thus,

The graph of f(x) = (4x² - 16) / (2x - 4) is given below.

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4

Answers

Answer:

2.3p – 10.1 = 6.49p – 4  [tex]\huge \checkmark[/tex]

230p – 1010 = 650p – 400 – p  [tex]\huge \checkmark[/tex]

Step-by-step explanation:

……………………………………………

2.3p – 10.1 = 6.5p – 4 – 0.01p

⇔ 2.3p – 10.1 = (6.5p – 0.01p) – 4

⇔ 2.3p – 10.1 = (6.5 – 0.01)p – 4

⇔ 2.3p – 10.1 = (6.49)p – 4

⇔ 2.3p – 10.1 = 6.49p – 4

_______________________

_______________________

2.3p – 10.1 = 6.5p – 4 – 0.01p

⇔ 100 × (2.3p – 10.1) = 100 × (6.5p – 4 – 0.01p)  multiply both sides by 100

⇔ 100 × (2.3p – 10.1) = 100 × (6.5p – 4 – 0.01p)

⇔ 230p – 1010 = 650p – 400 – p

……………………………………………………

Please Help
What does the missing angle in the triangle measure?

Answers

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a triangle is 180

95+25 +x = 180

120 +x = 180

Subtract 120 from each side

120+x-120 = 180-120

x = 60

Choose any set of Pythagorean triplets of your choice and illustrate them using graph sheet.
Example given below:

Answers

The required Pythagorean triplets are hypotenuse, perpendicular and base is 13, 12 and 5 respectively.

What are Pythagorean triplets?  

In a right angled triangle, its side, such as hypotenuse, perpendicular and base  is Pythagorean triplets.

We have

Hypohypotenuse = 13
perpendicular = 12
base = 5
Which satisfies the condition of the Pythagorean theorem.

[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\169=c^2[/tex]

and c = 13

Thus, the required value of Pythagorean triplets satisfies the Pythagorean theorem.  

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Horizontal lines n and m are intersected by lines q and p. At the intersection of lines q and n, the uppercase right angle is angle 4. At the intersection of lines q and m, the uppercase left angle is angle 1. At the intersection of lines p and n, the bottom left angle is angle 3. At the intersection of lines p and m, the uppercase left angle is angle 2.

If angle 1 is 110°, what would the other angle measures have to be in order for m || n and
q || p?



Angle 2 = °



Angle 3 = °



Angle 4 = °

Answers

The values of the angles based on the information will be:

Angle 2 = 110°Angle 3 = 70°Angle 4 = 70°

How to calculate the angles?

From the information given, angle 1 is 110° and the horizontal lines n and m are intersected by lines q and p.

In this case, it should be noted that opposite angles are equal. Hence, angle 2 is also 110°.

Angle 3 will be:

= 180° - 110° = 70° (angle on a straight line).

Angle 4 will also be 70° as opposite angle to angle 3.

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Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
d
Some number increased by two A) a ÷ 2
c
A variable decreased by two B) y2
e
Product of an unknown value and two C) x − 2
2
Quotient of some number and two D) b + 2
b
An unknown value squared E) 2z

Answers

The matching of definitions and terms are done below.

Some number increased by two ⇒ b + 2A variable decreased by two ⇒ x – 2Product of an unknown value and two ⇒ 2zQuotient of some number and two ⇒ a ÷ 2An unknown value squared ⇒ y²

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

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Match each inequality to the number line that represents its solution:

Answers

Step-by-step explanation:

I have solve all the questions and your work is to match with that option

Other Questions
Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p. what is this sentenceMatch the following phrases with the sentences they describe.1. My motherwhat a pianisttaught me all I know about music. an introductory adverbial clause 2. Yes, I feel that water color is an exciting hobby for an artist. an appositive 3. As if he had never seen one before, Jerry stared at the beautiful pyramid. an introductory interjection 4. Cambodia, an interesting country, is located in southeast Asia.a sudden break in thought 5. The Eustachian tube is, of course, essential for correct hearing.a parenthetical expression What is a hertz?An expressive marking that means "slowly"A kind of specialized woodwind instrumentA system of notating what pitches to playA system of measuring the speed of vibration Read the scenarios below. For each of the scenarios, identify the following (you should identify the 3 for EACH of the scenarios):Control Group Independent Variable Dependent VariableA. John thinks that a special juice will increase the productivity of workers. He creates two groups of 50 workers each and assigns each group the same task (in this case, they're supposed to staple a set of papers). Group A is given the special juice to drink while they work. Group B is not given the special juice. After an hour, John counts how many stacks of papers each group has made. Group A made 1,587 stacks, Group B made 2,113 stacks. PLEASE HELP!!!! Which destination on the map is 200 miles from our starting point? A. Kalano B. San RemoC. Nackina Tom was CEO of a company. He stole money from the company by writing a series of checks made out to Cash which he deposited in his own personal account at Bank. (Please do not try this at home.) Of course, he then spent the money. The company sued the Bank to get the money back.Was the Bank a holder in due course? What is the equation of the line that has a slope of 3 and passes through the point (1,-2)?Y=3x+5Y=3x-5Y=3x+1 Which behavior is most likely to lead to the development of a chronic disease? A student measures the voltage and current between two points in anelectrical circuit. If the voltage is 110 V and the current is 0.75 A, what is theresistance, according to Ohm's law? A. 147 OB. 109 02OC. 82.50OD. 0.007 0 solve X-2=7 answer the question pls pls Which currency is it How does the universal theme "the quest for powerrelate to the universal theme "the relationship betweenviolence and human nature" in these excerpts?O Macbeth is willing to share power with Banquo toavoid more violence.Macbeth is willing to use violence to keep himself andhis descendants in power.Macbeth knows that attaining power makes himsusceptible to violence.Macbeth knows that Banquo will resort to violence totake away his power. A dilation maps (9, 12) to (3, 4). Find the coordinates of the point (8, 4) under the same dilation what does the asterisk (*) after select tell the database to do in this query? Linguist noam chomsky said that children are born into the world with a detect certain features and rules of language, including phonology, syntax, and semantics. a biological endowment that enables the child to All stars go through a lifecycle.The star Mira will go through a supernova stage in its lifecycle but the Sun will not.How is the star Mira different to the Sun? HELP PLEASE I WILL GIVE BRAINLIEST AND THANKSTrue breeding domesticated Hens with white feathers and large, single head combs mate with roosters that are true-breeding for dark feathers and small combs. The offspring all resemble their mothers (hens) for these two traits. a. Which alleles of each trait are dominant, and which are recessive?b. if the F1 are crossed with each other, what percentage of the F2 would be expected to have dark feathers and long single combs? PQ = 15cm and QR = 17cm. Calculate the perimeter of PQR. John needs to put the set of numbers below in ascending order.3, -1, 5, 13, -11Which number should John write first?A. -1B. -11C. 5D. 13 If m varies directly with n , and m = 8 when n = 24 . what is the value of n when m = 12