given the following fitnesses and starting frequency of the b1 allele, what is the frequency of the b1 allele after selection? specify your answer to two decimal places. assume random mating.

The standard deviation for the number of home runs in 200 games, assuming the normal approximation of the binomial distribution, is approximately 5.37. This value represents the variability or spread of the number of home runs that can be expected for the player over the 200-game period.

When the number of games played is large, the binomial distribution can be approximated by a normal distribution. In this case, the player plays 200 games, and the probability of hitting a home run in a single game is given as 0.175.

The mean (μ) of the binomial distribution is given by n * p, where n is the number of trials (games) and p is the probability of success (probability of hitting a home run). Therefore, the mean for 200 games can be calculated as:

μ = n * p = 200 * 0.175 = 35

The standard deviation (σ) of the binomial distribution is calculated using the formula:

σ = sqrt(n * p * (1 - p))

Substituting the values:

σ = sqrt(200 * 0.175 * (1 - 0.175)) ≈ 5.37

Therefore, the standard deviation for the number of home runs in 200 games, assuming the normal approximation of the binomial distribution, is approximately 5.37. This value represents the variability or spread of the number of home runs that can be expected for the player over the 200-game period.

The answer is c. 5.37

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Answer:

k = -23/4

Step-by-step explanation:

-4k + 9 = 32

-4k = 32 - 9

-4k = 23

k = -23/4

Answer:

Step-by-step explanation:

subtract 9 from 32, you'll get 23. divide  negative 4 from 23 and your answer should be positive. you divide on both sides, so the K will just cancel out to be by itself. I hope that helps!

The dimensions of building lot are 396 feet width and 1980 feet length.

Let the width of building lot be x. So, the length of the same building lot will be 5x. According to the formula, the area will be length × width.

18 acre = x×5x

Keep the value of acre in the above mentioned relation

18 × 43,560 = 5x²

Performing multiplication on Left Hand Side of the equation

784,080 = 5x²

Performing division by 5

x² = 156,816

Now taking square root to find the value of x

x = ✓156,816

x = 396 ft

Thus, the width of building lot is 396 feet

The length of building lot = 5×396

Performing multiplication

The length of building lot = 1980 feet

Therefore, the length and width of building lot is 1980 feet and 396 feet respectively.

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The smaller number is 13

Let x and y represent the unknown number

x + y= 47........equation 1

x - y= 21.........equation 2

From equation 1

x + y= 47

x= 47-y

Substitute 47-y for x in equation 2

(47-y)-y= 21

47-y-y= 21

47-2y= 21

-2y= 21-47

-2y= -26

y= 26/2

y= 13

Substitute 13 for y in equation 1

x + y= 47

x + 13= 47

x= 47-13

x= 34

Hence the smaller number is 13

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The amount of simple interest on the installment plan for the computer is $144.

We have,

To calculate the amount of simple interest on a one-year installment plan for a computer that costs $2400 with a 6% interest rate, we can use the formula:

Simple Interest = Principal x Rate x Time

Where:

Principal = $2400 (the cost of the computer)

Rate = 6% (6/100 expressed as a decimal)

Time = 1 year

Plugging in,

Simple Interest = $2400 x 0.06 x 1

= $144

Therefore,

The amount of simple interest on the installment plan for the computer is $144.

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Given:

∠HFI = 70 degrees

∠IFJ = 63 degrees

To find:

We need to find ∠GFH

Step-by-step solution:

We know that:

"Vert

Therefore, approximately 0.0475 or 4.75% of smoke alarms will have a life span of less than 1 year as the cumulative probability for a Z-score of -1.67 is approximately 0.0475.

To find the proportion of smoke alarms with a life span of less than 1 year, we can use the Z-score formula and the properties of the standard normal distribution.

First, we calculate the Z-score using the formula:

Z = (X - μ) / σ

Where X is the value we are interested in (1 year), μ is the mean (2 years), and σ is the standard deviation (0.6 years).

Z = (1 - 2) / 0.6

= -1.67

Next, we look up the corresponding cumulative probability (proportion) for the Z-score of -1.67 in the standard normal distribution table or by using statistical software. The cumulative probability corresponds to the proportion of values less than the given Z-score.

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Answer:

x=24

Step-by-step explanation:

ahh yes, geometry.

Let's start with angle CDA. This one would be equal to 2x because of Alternative interior angles.

Because all of the angles in a triangle are equal to 180 degrees, we can say that the angles in triangle CDE are equal to 180 degrees when added up. So, we get the equation:

3x+60+2x=180

Simplify to 5x+60=180

Subtract 60 from both sides

5x=120

Divide by 5 on both sides

x=24

The two numbers are x = 50 and y = 10. We can check that these numbers satisfy both of the original conditions and their difference and quotient is 40 and 5 respectively.

Let's call the two numbers "x" and "y". We know that:

The difference of two numbers is 40, so we can write: x - y = 40.

The quotient (or ratio) of two numbers is 5, so we can write: x/y = 5.

Now we can use these two equations to solve for x and y. One way to do this is to solve for one variable in terms of the other in one of the equations, and then substitute that expression into the other equation. Here's how:

From the second equation, we can solve for x in terms of y by multiplying both sides by y:

x = 5y

Now we can substitute this expression for x into the first equation:

x - y = 40

5y - y = 40 (substituting 5y for x)

4y = 40

y = 10

So one of the numbers is y = 10. We can find the other number, x, by substituting y = 10 into either of the two equations we started with:

x - y = 40

x - 10 = 40

x = 50

So the two numbers are x = 50 and y = 10. We can check that these numbers satisfy both of the original conditions:

Their difference is 50 - 10 = 40.

Their quotient is 50/10 = 5.

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The solution to the given differential equation \(y'' + 2y' - 3y = 0\), with initial conditions \(y(0) = 2\) and \(y'(0) = 0\) by applying Laplace transform is \(y(t) = e^{(-3t)} + 3e^t\)

To solve the given differential equation \(y'' + 2y' - 3y = 0\) using the Laplace transform, we'll first apply the Laplace transform to the equation. Let Y(s) represent the Laplace transform of y(t), denoted as Y(s) = L[y(t)].

Applying the Laplace transform to the equation, we get:

\(s^2Y(s) - sy(0) - y'(0) + 2sY(s) - 2y(0) - 3Y(s) = 0\)

Substituting the initial conditions y(0) = 2 and y'(0) = 0, the equation becomes:

\(s^2Y(s) - 2s + 2 + 2sY(s) - 6 - 3Y(s) = 0\)

Rearranging the terms, we have:

\((s^2 + 2s - 3)Y(s) = 4s - 4\)

Now, solving for Y(s), we divide both sides of the equation by (s^2 + 2s - 3):

\(Y(s) = (4s - 4) / (s^2 + 2s - 3)\)

Now, we need to decompose the right side of the equation into partial fractions. Factoring the denominator, we have:

\(Y(s) = (4s - 4) / ((s + 3)(s - 1))\)

To find the partial fraction decomposition, we assume:

\(Y(s) = A / (s + 3) + B / (s - 1)\)

Multiplying both sides by (s + 3)(s - 1), we get:

\(4s - 4 = A(s - 1) + B(s + 3)\)

Expanding and simplifying:

\(4s - 4 = As - A + Bs + 3B\)

Equating coefficients of like terms:

4s - 4 = (A + B)s - A + 3B

From the coefficients of the terms involving 's', we have:

A + B = 4 (coefficient of 's')

-A + 3B = -4 (constant term)

Solving these equations, we find A = 1 and B = 3.

Substituting these values back into the partial fraction decomposition:

\(Y(s) = 1 / (s + 3) + 3 / (s - 1)\)

Now, taking the inverse Laplace transform of Y(s) using the table of Laplace transforms, we find:

\(y(t) = e^{(-3t)} + 3e^t\)

Therefore, the solution to the given differential equation \(y'' + 2y' - 3y = 0\), with initial conditions \(y(0) = 2\) and \(y'(0) = 0\) by applying Laplace transform is \(y(t) = e^{(-3t)} + 3e^t\).

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The answer is √32 units.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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The day when the sun is highest in the sky varies depending on the location within the United States. However, generally speaking, the highest point of the sun is reached on the summer solstice, which falls around June 20-21 each year.

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Answer:

The first option is correct.

Answer:

the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.

Step-by-step explanation:

Let’s call the amount of money that the first person gets “x”. Then, the second person gets half of x, which is x/2. The third person gets half of x/2, which is x/4. The fourth person gets half of x/4, which is x/8.

The sum of these amounts should be equal to 150€.

x + x/2 + x/4 + x/8 = 150

Multiplying both sides by 8 gives:

8x + 4x + 2x + x = 1200

15x = 1200

x = 80

Therefore, the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.

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The area of the sidewalk around the circular flower bed can be found by subtracting the area of the flower bed from the area of the larger circle formed by the outer edge of the sidewalk.

To calculate the area of the sidewalk, we first need to find the radius of the flower bed. We know that the diameter of the flower bed is 22m, so the radius is half of that or 11m.

Next, we need to find the radius of the larger circle formed by the outer edge of the sidewalk. This can be done by adding the width of the sidewalk on both sides of the flower bed, which is 3m x 2 = 6m, to the diameter of the flower bed.

Therefore, the diameter of the larger circle is 22m + 6m = 28m, and the radius is half of that or 14m.

Using the formula for the area of a circle (A = πr²), the area of the flower bed is 3.14 x 11² = 380.26m², and the area of the larger circle is 3.14 x 14² = 615.44m².

Finally, we can find the area of the sidewalk by subtracting the area of the flower bed from the area of the larger circle:

Area of sidewalk = 615.44m² - 380.26m² = 235.18m².

Therefore, the area of the sidewalk around the circular flower bed is 235.18 square meters.

In summary, to find the area of the sidewalk around a circular flower bed with a diameter of 22m and a width of 3m, we first need to calculate the radius of the flower bed and the larger circle formed by the outer edge of the sidewalk. Then, we can use the formula for the area of a circle to find the areas of both circles and subtract the area of the flower bed from the area of the larger circle to get the area of the sidewalk.

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

60-30

6-3 = 3

0-0 = 0

60 - 30 = 30

Answer:

8 milliom

Step-by-step explanation:

its ez

Logan had approximately 4 appointments.

Let's denote the number of appointments Logan had as 'x'.

The equation representing Logan's profit can be expressed as follows:

Profit = Revenue - Expenses

and, Revenue = Total amount earned from appointments + Tips

Expenses = Rental fee per appointment

Given that

Logan charged $55 per appointment and received $35 in tips.

So, the revenue from each appointment would be $55 + $35 = $90.

As, the expenses per appointment would be the rental fee of $10.

Therefore, the equation becomes:

Profit = (Revenue per appointment - Expenses per appointment) * Number of appointments

350 = (90 - 10) *x

350 = 80x

x = 350 / 80

x ≈ 4.375

Therefore, Logan had approximately 4 appointments.

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The surface integral of F · dS is 32π.

To evaluate the surface integral S F · dS, we need to calculate the flux of the vector field F across the given surface S. The vector field F is defined as F(x, y, z) = \(x^2\) i +\(y^2 j + z^2 k.\) The surface S represents the boundary of the solid half-cylinder, where 0 ≤ z ≤ √(25 - \(y^2\)) and 0 ≤ x ≤ 4.

To calculate the flux, we first need to find the unit normal vector to the surface S. The surface S is a closed surface, so we use the positive (outward) orientation. The unit normal vector is given by n = (∂z/∂x)i + (∂z/∂y)j - k.

Next, we evaluate the dot product of F and the unit normal vector, which gives us F · n. Substituting the components of F and the unit normal vector, we have F · n = (\(x^2\))(∂z/∂x) + (\(y^2\))(∂z/∂y) + (\(z^2\))(-1).

To calculate the flux across the surface S, we integrate F · n over the surface. Since S is the boundary of the solid half-cylinder, we need to set up the limits of integration accordingly. We integrate with respect to y and z, while keeping x constant.

Integrating F · n over the surface S and applying the limits of integration, we obtain the following expression: ∫∫(F · n)dS = ∫(0 to 4)∫(0 to 2π)[(\(x^2\))(∂z/∂x) + (\(y^2\))(∂z/∂y) + (\(z^2\))(-1)]rdrdθ.

After evaluating this double integral, we find that the flux across the surface S is equal to 32π.

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Answer:

doing the test rn so im pretty sure its A on edge

Step-by-step explanation:

2.4 9 x10^7

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

\(\frac{11}{8}\)

Step-by-step explanation:

3(2k+3)=6-(3k-5)

6k +9=6-3k+5

6k+3k=6+5

8k=11

k=\(\frac{11}{8}\)

Answer: I think it is k=2/9

Step-by-step explanation:

Step-by-step explanation:

5x-16 = 3 (10+x)

=> x= 23

The decimal fraction that represents the given fraction is: 0.36.

To convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:

1. 25 divided by 9

This cannot go so, we put a zero and a decimal point as follows: 0.

Then we add 0 to 90

2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3

3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.

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Answer:

below

Step-by-step explanation:

1 day = 580g

2weeks(14days)= 580×14g

= 8,120g

1g= 0.001kg

8,120g= 8,120 × 0.001(kg)

=8.12kg

Therefore, the vertical component of the force exerted on the block by the floor is equal to the normal force (N).

To determine the vertical component of the force exerted on the block by the floor, we need to consider the forces acting on the block. In this case, since the block is being pulled horizontally, the main forces to consider are the gravitational force (mg) acting vertically downward and the normal force (N) exerted by the floor perpendicular to the surface.

Since the block is on a rough horizontal floor and being pulled horizontally, there is a frictional force (f) opposing the motion. The frictional force acts parallel to the surface and in the opposite direction to the applied force. The vertical component of the force exerted by the floor is equal to the normal force (N). The normal force balances the downward force due to gravity (mg) to keep the block in equilibrium vertically.

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Answer:

Step-by-step explanation:

The triangle CHE is right, angle CHE is marked as right angle.

We have:

Use Pythagorean theorem to find the value of EH:

Substitute known values and solve for EH

Answer:

13

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