b) Use the formulae for the Binomial Distribution for the situation of a genetics trial
with 3:1 segregation of alleles B:b to calculate the mean and variance for the ballele
when there are 15 trials.

Answer:

(x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.

Step-by-step explanation:

Factor the numerator:

(x+9)(x-5)

Factor the denominator:

(x+1)(x+9)

So you have

(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?

You're left with (x-5)/(x+1)

The only number that is restricted is -1, because that would make the denominator zero, which is a no no

Answer:

Step-by-step explanation:

To avoid ambiguity please write the given expression as  

                                                                 x² + 4x - 45

x² + 4x - 45/(x^2+10x+9) or (better) as ---------------------

                                                                   x^2+10x+9

Notice that both numerator and denominator have the factor x + 9:

 (x + 9)(x - 5)

---------------------

 (x + 9)(x + 1)

This allows us to cancel out the (x + 9) factor, resulting in:

x - 5

------- ONLY for x ≠ -1 and x = -9

x + 1

We must exclude these two x-values because otherwise the denominator would be zero, which is not allowed.

The Total cost of a sweatshirt if the regular price is $42 and the sales tax of 5.75% is $44.42

Total cost is the sum of expenses a company needs to produce a specific level of output. Its represented as Total cost = Fixed cost + variable cost

From the question, the total cost of a sweatshirt at regular price is $42  and the sales tax is 5.75% (0.0575)

Therefore $42/ 100 x 5.75% = 2.42

Total Cost is x + 42 representing for x Total cost = 2.42 + 42 = $44.42

Hence, the Total cost of a sweatshirt is $44.42

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Answer:

Population parameters

Step-by-step explanation:

Population parameters usually find from the average values, ​​in a simple way we can say that finding the average value comes in the Population Parameters.

In the given question, car manufacturing companies provide sample of average.

So, given scenario is a type of "Population parameters".

A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

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Answer:

Use Mathpapa to find your answer.

Step-by-step explanation:

It's a good, and powerful program.

Answer:

0.0622ns

Step-by-step explanation:

Rate, R = 6mm²/s or 6 X 10∧-8m²/s

Radius, r = 109 X 10∧-9m

Area of circular object = πr² = 22/7 X (109 X 10∧-9)²= 3.734 X 10∧-14m²

Speed = 3.734 X 10∧-14m²/(6 X 10∧-8)m²/s = 0.0622ns

Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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Answer:

B(2,3),C(2,-3)

Step-by-step explanation:

On y-axis symmetry有手就行

Answer:

Hi your question is incomplete attached below is the complete question

answer : p ( X < 725 )  = 0.0116

Step-by-step explanation:

Given data:

Average life of bulbs (μ  ) = 750 hours

standard deviation (б ) = 55 hours

n ( sample size ) = 25

X = 725  

Probability that the mean life of a random sample of 25 bulbs will be less than725 hours

p ( X < 725 ) = p (( X - μ )/ б √n  <  725 - 750 / 55√25 )

                     = P ( Z > - 2.27 )

Hence P ( X < 725 ) = 0.0116  ( using Z-table )

Answer:

12

Step-by-step explanation:

4 times 3 = 12

There were 0-5 Listeners when the song was released.

The approximate number of listeners who had heard the song after the hour 5 was 15- below 50

The number of listeners was about 29,458 after hour 5842.62/

Alternative forms

Y= 4,637(1.26)ˣ

292131/50,5842,31/50,5.84262 =10³

5842.62

Including polynomial components, such as squared or cubed predictors, is the most popular technique to fit curves to data using linear regression. Typically, the model order is determined by the number of bends required in your line. Each exponent increment causes one additional bend in the curved fitting line.

Curve of Best Fit: a scatter plot curve that best approximates the trend. If the data looks to be quadratic, we use quadratic regression to get the equation for the best-fit curve. We do a cubic regression if it looks to be cubic.

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Answer:

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

The slope of a horizontal line is zero.  The slope of a vertical line is undefined.

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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1) The Roman military was directed by consuls

2) Senate, a body where plebians chose the leaders.

3) a patrician-only ruling body known as the Assemblies.

The highest ranked magistrate in the Roman Republic was known as a consul (consul in Latin). Two consuls, who were responsible for overseeing the state and, in particular, the army in the field, were chosen annually from among citizens over the age of forty-two for the office, which was annual and collegiate. The consuls, however, held relatively little power and influence during the foundation of the Empire because the emperor assumed the role of supreme leader, serving solely as a symbol of Republican Rome's past.

The Senate, also known as Senatus, de senex, elder, was one of the components of Ancient Rome's government. It was made up of 300 members drawn from the ancient magistrates during the most of the Republic, yet following Sila's dictatorship and during the imperial era, that number rose to 900. It was responsible for approving the laws chosen by the electorate, giving magistrates advice, and managing foreign policy, finances, and religion.

The complete question is :

Insert a picture below

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Students were asked to simplify the expression using trigonometric identities:

 A.  student A is correct; student B was confused by the division

 B.  3: cos²(θ)/(sin(θ)csc(θ)); 4: cos²(θ)

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are several distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names.

Each student correctly made use of the trigonometric identities

cosec(θ) = 1/sin(θ)

1 -sin²(θ) = cos²(θ)

A.

Student A's work is correct.

Student B apparently got confused by the two denominators in Step 2, and incorrectly replaced them with their quotient instead of their product.

The transition from Step 2 can look like:

\(\frac{(\frac{1-sin^2\theta}{sin\theta} )}{cosec\theta} =\frac{1-sin^2\theta}{sin\theta} .\frac{1}{cosec\theta} =\frac{cos^2\theta}{(sin\theta)(cosec\theta)}\)

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Complete question:

Students were asked to simplify the expression the quantity cosecant theta minus sine theta end quantity over cosecant period Two students' work is given. (In image below)

Part A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused. (5 points)

Part B: Complete the student's solution correctly, beginning with the location of the error. (5 points)

Answer:

30/1 is the answer kdkdkdkddn

Step-by-step explanation:

Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.

If lim(n→∞) an ≠ 0, then an diverges.

(Note this only tests divergence, not convergence.)

P Test: use this when the series is a p-series.

For an = 1 / nᵖ, if p > 1, then the series converges.  Otherwise, it diverges.

Geometric Test: use this when the series is a geometric series.

For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges.  Otherwise, it diverges.

Integral Test: use this when the sequence can be easily integrated.

If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.

If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.

Comparison Test: use this when a sequence is similar to a p-series or a geometric series.

If bn > an and bn converges, then an converges.

If bn < an and bn diverges, then an diverges.

Otherwise, inconclusive.

Limit Comparison Test: use this when comparison test is inconclusive.

If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.

Alternating Series Test: use this when the series is alternating.  This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.

If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.

(Notice this only tests for convergence, not divergence.)

Answer:

b. x=4 and y= 2

...........

Answer:

B 84 is our answer

Step-by-step explanation:

triangle formula for surface area is base x height divided by 2 so 7 x 6 = 42 42 ÷ 2 = 21 All the other triangles are going to be the same so 21 x 4 = 84 so 84 is our surface area

Answer:

x= -3 ± \(\sqrt{21}\)

Step-by-step explanation:

\(x^{2}\)+6x=12

We add 9 [\((6/2)^{2}\)] to both sides to complete the square as \(x^{2}\)+6x+9 = \((x+3)^{2}\).

\((x+3)^{2}\)=21

Now we take the square root of both sides:

x+3=±\(\sqrt{21}\)

x= -3 ± \(\sqrt{21}\)

Answer:

x = -3 ± \(\sqrt{21}\)

Step-by-step explanation:

\(x^2+6x=12\)

\((\frac{b}{2} )^{2}\) = 9

\(x^2+6x + 9 =12 + 9\)

\((x+3)^{2} =21\)

x + 3 = \(\sqrt{21}\)

x = -3 ± \(\sqrt{21}\)

Answer:

(x,5)

Step-by-step explanation:

If the line is horizontal, the y values cannot change.  So, for a line of infinite length, there are infinite possible values for x but only a single value for y.  Any ordered pair in which the y value is 5 is an acceptable answer.

Answer:

i think I will also be =3/4

To make the expression If a = b + c and c ___ 0, then a > b  right, c will be c > 0.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /, and ^) that represents a quantity or a relationship between quantities. It can be  number, variable, or combination of both.

Expressions are used to represent mathematical operations, formulas, and relationships. They can be simple or complex, and they can be evaluated or simplified using mathematical rules and operations.

Now,

The correct relationship symbol that makes the statement true is ">" (greater than).

If a = b + c and c > 0, then a will always be greater than b. This is because adding a positive value (c) to b will increase the result (a) above the value of b.

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Applying the tangent and the circle theorems, we have:

22. x ≈ 9.4;   23. Perimeter of triangle GHI = 168 units

24. m<NSR = 110°;    25. x = 10

22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:

x = √[(7.4 + 4.6)² - 7.4²]

x ≈ 9.4

23. JH and HK are tangents, therefore they are equal. Thus:

7x + 4 = 13x - 20

7x - 13x = -4 - 20

-6x = -24

x = 4

Perimeter = GI + GJ + JH + HK + KI

GI = 52

HK = JH = 7x + 4 = 7(4) + 4 = 32

KI = 15

GJ = 52 - 15 = 37

Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units

24. Based on the angle of intersecting chords theorem, we have:

m<NSR = 1/2(170 + 50)

m<NSR = 110°

25. Based on the inscribed angle theorem, we have:

2(4x - 5) + 290 = 360

Solve for x:

8x - 10 + 290 = 360

8x = 360 - 280

8x = 80

x = 10

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

Answer:

\(x\approx 59.1^\circ\)

Step-by-step explanation:

Since we want to find x and we are given the hypotenuse and the side adjacent to x, we can use the cosine ratio:

\(\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\)

The adjacent side is 18 and the hypotenuse is 35. Substitute:

\(\displaystyle \cos x=\frac{18}{35}\)

Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:

\(\displaystyle x=\cos^{-1}\frac{18}{35}\approx59.1^\circ\)