Answer:
Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.
Answer:
Darwin's theory of evolution
Charles Darwin developed a theory of evolution to explain the unity and diversity of life, based on the idea of shared common ancestors.
Natural selection
Darwin's theory was based on the mechanism of natural selection, which explains how populations can evolve in such a way that they become better suited to their environments over time.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Natural selection acting on mice population over time.
Individuals have variations within their heritable traits. Some variations make an individual better suited to survive and reproduce in their environment.
If this continues over generations, these favorable adaptations (the heritable features that aid survival and reproduction) will become more and more common in the population.
The population will not only evolve (change in its genetic makeup and inherited traits), but will evolve in such a way that it becomes adapted, or better-suited, to its environment.
Artificial selection
There are other types of selection, in addition to natural selection, that are out there in the world.
Artificial selection, also called "selective breeding”, is where humans select for desirable traits in agricultural products or animals, rather than leaving the species to evolve and change gradually without human interference, like in natural selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
Dog breeding is a perfect example of how humans select for desirable or fashionable traits. Breeders deliberately mate parents with the hope of producing offspring with specific traits (such as color, size, ear shape, snout length, and so on).
Common mistakes and misconceptions
Evolution is not the same as adaptation or natural selection. Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment.
Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits. For example, a rabbit can't choose to have a different fur color. Rather, a genetic mutation causes a difference in fur color, which may help that rabbit hide better in its environment.
Natural selection acts on existing heritable variation. Natural selection needs some starting material, and that starting material is heritable variation. For natural selection to act on a feature, there must already be variation, and that variation must be able to be passed on to offspring.
Natural selection depends on the environment. Natural selection doesn't favor traits that are somehow inherently superior. Instead, it favors traits that are beneficial in a specific environment. Traits that are helpful in one environment might actually be harmful in another.
Step-by-step explanation:
Compute Z, corresponding to P28 for standard normal curve. 5. Random variable X is normally distributed with mean 36 and standard deviation 3. Find the 80th percentile.
The 80th percentile of the normal distribution with a mean of 36 and a standard deviation of 3 is approximately 38.52.
To compute Z corresponding to P28 for the standard normal curve, we need to find the Z-score that corresponds to a cumulative probability of 0.28. This can be done using a standard normal distribution table or a statistical software.
Using a standard normal distribution table, we can look up the cumulative probability closest to 0.28, which is 0.2794. The corresponding Z-score is approximately -0.59.
Therefore, Z corresponding to P28 for the standard normal curve is approximately -0.59.
Regarding the second part of your question, to find the 80th percentile of a normal distribution with a mean of 36 and a standard deviation of 3, we can use the Z-table or a statistical software.
The 80th percentile corresponds to a cumulative probability of 0.80. Using the Z-table or a statistical software, we can find the Z-score that corresponds to a cumulative probability of 0.80, which is approximately 0.84.
To find the actual value, we can use the formula:
Value = Mean + (Z-score * Standard Deviation)
Plugging in the values:
Value = 36 + (0.84 * 3) = 38.52
Therefore, the 80th percentile of the normal distribution with a mean of 36 and a standard deviation of 3 is approximately 38.52.
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What ordered pair represents the y-intercept for the function y=2^x
Answer:
(0, 1)
Step-by-step explanation:
[tex]y = {2}^{x} \\ \\ plug \: x = 0 \\ \\ y = {2}^{0} \\ \\ y = 1 \\ \\ (x, \: \: y) = (0, \: \: 1)[/tex]
the expression 8+2t can be used to find the total cost of admission and t amusement rides at a country fair. what statement is true?
the anwser is going to be A
What is the percent of 0.875?
Answer:
87.5%
Step-by-step explanation:
Just move the decimal place twice to the right.
Answer:
87.5%
Step-by-step explanation:
0.875× 100= 87.5%
Please help me with the question
90 degrees and right angle
Find the value of x in the triangle shown below.
We will flip a balanced coin 3 times and for each toss, record whether we get a Head or a Tail. Write all possible outcomes of this experiment to find the probability that we get exactly 2 heads. 3/8 2/3 1/8 1/3
The probability of getting exactly 2 heads when flipping a balanced coin 3 times is 3/8.
When flipping a coin, each flip has 2 possible outcomes: Head (H) or Tail (T). Since we are flipping the coin 3 times, the total number of possible outcomes is 2 × 2 × 2 = 8. To find the probability of a specific outcome, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcomes are the 3 outcomes with exactly 2 heads, and thus the probability is 3/8.
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Help with my mathhh!
Answer:
Step-by-step explanation:
d
Answer:
<BOF
Step-by-step explanation:
sum of both these angles is 180 so C is the answer.
Find X. Give your answer in the simplest form.
Determine the value of A
Answer:
A = 161°
Step-by-step explanation:
125° + 36° = 161°
hope this helps
find the surface area of the part of the cone z=sqrt(x^2 y^2) that lies between the plane y=x and the cylinder y=x^2
The surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2 is sqrt(2)/6.
To find the surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2, we can use a double integral to integrate the surface area element dS over the region of interest.
First, we need to parameterize the surface in terms of two variables (u, v) such that the surface is defined by x = f(u,v), y = g(u,v), and z = h(u,v). We can use cylindrical coordinates, with x = r cos(theta), y = r sin(theta), and z = sqrt(x^2 + y^2) = r. Then, the cone is given by r = h(u,v) = u, and the region bounded by y = x and y = x^2 is given by u^2 <= v <= u.
Next, we need to compute the partial derivatives of f, g, and h with respect to u and v:
f_u = cos(theta)
f_v = -u sin(theta)
g_u = sin(theta)
g_v = u cos(theta)
h_u = 1
h_v = 0
Then, the surface area element dS can be computed using the formula:
dS = sqrt(1 + (h_u)^2 + (h_v)^2) du dv
Substituting in the partial derivatives and simplifying, we get:
dS = sqrt(2) du dv
Finally, we can set up the double integral over the region of interest and integrate dS:
surface area = ∫∫ dS = ∫[0,1]∫[u^2,u] sqrt(2) dv du
Evaluating this integral using the limits of integration gives us:
surface area = ∫[0,1] sqrt(2) (u - u^2) du
= sqrt(2) (1/2 - 1/3)
= sqrt(2)/6
Therefore, the surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2 is sqrt(2)/6.
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Given are five observations collected in a regression study on two variables. Xi 2 6 9 13 20 yi 9 19 8 26 23 Develop the 95% confidence and prediction intervals when x = 7. (Round your answers to two decimal places.) confidence interval 3.73 X to 26.27 x prediction interval -11.48 X to 41.48 x
The 95% confidence interval for the response variable y, when x = 7, is calculated to be 3.73 to 26.27. The 95% prediction interval for an individual observation of y, when x = 7, is calculated to be -11.48 to 41.48.
To calculate the confidence interval, we use the formula:
[tex]\hat{y} \pm t\alpha /2 * SE(\hat{y} )[/tex]
where [tex]\hat{y}[/tex] is the predicted value of y, tα/2 is the critical value for a given level of confidence (in this case, 95%), and SE ([tex]\hat{y}[/tex]) is the standard error of the prediction.
To calculate the prediction interval, we use the formula:
[tex]\hat{y} \pm t\alpha /2 * SE(\hat{y} - y)[/tex]
where ŷ is the predicted value of y, tα/2 is the critical value for a given level of confidence (in this case, 95%), and SE [tex]( \hat{y} - y)[/tex] is the standard error of the prediction.
Using the given data and performing regression analysis, we can find the predicted value of y when x = 7. Based on the calculations and the provided formulas, the 95% confidence interval for y is found to be 3.73 to 26.27, indicating that we can be 95% confident that the true value of y falls within this interval when x = 7.
Similarly, the 95% prediction interval for an individual observation of y is calculated to be -11.48 to 41.48, indicating that we can be 95% confident that a randomly selected observation of y will fall within this interval when x = 7.
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NEED THIS DONE ASAP
If P(x) = -2(1 - x)2 +5, what is the value of
P(-3)?
Answer:
P(-3) = -1
Step-by-step explanation:
So just substitute the value of x in the equation:
Value of x is (-3)
So:
P(x) = -2(1 - x)2 +5
P(-3) = -2(1-(-3)) 2 + 5
P(-3) = -2(4) 2 + 5
P(-3) = -8 + 2 + 5
P(-3) = -6 + 5
P(-3) = -1
A room needs to be painted. The room is 15 ft by 23 ft by 8 ft high. A gallon
of paint covers 250 2 and costs $28.
a. Find the number of gallons to paint the room.
b. What is the cost of painting the room if you do the work yourself?
Answer:
First we know that the room is a rectangular prism with measures:
width = W = 15ft
length = L = 23ft
height = H = 8ft
We want to paint the room (i suppose that we paint the four walls and the roof)
The area of each two of the walls the width times the height:
A = (15ft)*8ft = 120ft^2
And we have two of these walls, then the total area is:
area = 2*120ft^2 = 240ft^2
The area of each one of the other two walls is the height times the length:
A = (23ft)*8ft = 184ft^2
And we have two of these walls, then the total area is:
A = 2*184ft^2 = 368ft^2
The area of the roof is equal to the length times the width.
A = 23ft*15ft = 276ft^2
Then the total area we need to paint is:
area = 240ft^2 + 368ft^2 + 276ft^2 = 884 ft^2
a) We know that one gallon can cover 250 ft^2
Then to cover 884 ft^2 we need:
N = (884 ft^2)/(250 ft^2) = 3.536 gallons of paint
b) Knowing that each gallon costs $28, and that we need 3.536 gallons of paint to paint the room, the total cost is:
3.54*$28 = $99.008 = $99.01
Now if for some reason you only can buy paint in whole numbers, then you can not buy exactly 3.536 gallons, then you need to buy 4 gallons, and in this case, the total cost will be 4 times $28
cost = 4*$28 = $112
How many significant figures will there be in the answer to the following problem? You do not have to solve the problem. 3.4 • 17.05 =
Answer:
3.4 × 17.015 = 58
Step-by-step explanation:
3.4 → two non-zero digits = two sig figs
17.05 → four non-zero digits = four sig figs
- hope this helps!
what is the sum of 3x4
Answer:
12
Step-by-step explanation:
3 4's
3+3+3+3=12
Hope that helps :)
Please help I need help and please explain
Answer:
click c
Step-by-step explanation:
and its right
Given a quaternion with rotation of 90° about the x-axis and route point (1,0,1)
Find the following:
a. Scalar part
b. i, j, k components
c. Px, Py, Pz
Given the quaternion with rotation of 90° about the x-axis and route point (1,0,1), we have to find the scalar part, i, j, k components, Px, Py, Pz.
To find the scalar part, we need to use the formula: Scalar part = cos(θ/2)Where θ is the angle of rotation, which is 90° in this case. Scalar part = cos(90°/2) = cos(45°) = 0.7071To find the i, j, k components, we use the formula: qi = sin(θ/2) * ai where ai is the unit vector in the axis of rotation. i-component = sin(90°/2) * 1 = 1j-component = 0k-component = 0Therefore, the quaternion is (0.7071, 1i, 0j, 0k)To find Px, Py, Pz, we rotate the point (1,0,1) by the given quaternion using the formula: P' = qpq-1where q is the given quaternion, and P' is the new point.
Let's first find the inverse of the quaternion.q-1 = (0.7071, -1i, 0j, 0k) (Since the scalar part remains the same, only the vector part gets negated)Now, let's substitute the values and simplify: P' = (0.7071 + 1i)(1 + 0j + 0k)(0.7071 - 1i) = (0.7071 + 1i)(0.7071 - 1i) = 1 - 0.7071iTherefore, the new point is (1, 0, -0.7071)Hence, Px = 1, Py = 0, and Pz = -0.7071.
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What is the value of 9x^2 + 13x – 15, if x = 2
Step-by-step explanation:
Given,
[tex]9 {x}^{2} + 13x - 15[/tex]
and
[tex]x = 2[/tex]
Substitute x = 2 into expression.
[tex]9 {x}^{2} + 13x - 15 = 9( {2}^{2} ) + 13(2) - 15 \\ = 9(4) + 26 - 15 \\ = 36 + 26 - 15 \\ = 62 - 15 \\ = 47[/tex]
Answer:
9(2)×2+13(2)-15
18×2+26-15
36+11
47 is your answer ☺️☺️☺️
PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP I BEG U PLS BOTH QUESTIONS PLS
Answer:14 is obtuse
15 is A
Step-by-step explanation:
For 14 the only remaining angle is over 90
For 15 the first triangle has all same side and angle measures
second triangle has 2 equal side measures
and third has none
Answer:
1: Obtuse
2: A
Step-by-step explanation:
One angle is 57° and another is 12°. If we add them, we get 69. Subtract 69 from 180 to get missing angle: 180-69=111
the missing angle is 111°. We know this is not a right triangle because those have a 90° angle. Since one angle is bigger than 90 (111°), the triangle is obtuse.
For the second one, we see that the first triangle is equal on all sides, so it is equilateral. The second triangle has just two equal sides, so it is isosceles. The thrid one is different side length on all of them, so it is scalene. the answer is A.
PLSSS HELPPPPP
On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.
A:
B:
D:
E:
Answer: B is 0 A is 1 D 2 E 3
Step-by-step explanation:
Answer:
a: 1
b: 0
d:2
e:3
Step-by-step explanation:
Since you already know that C is -1, you can add or subtract along the numberline by ones to get the values of each letter
A bag contains x counters. 7 of the counters are blue. Sam takes at random a counter from the bag and does not replace it. Jill then takes a counter from the bag. The probability they both take a blue counter is 0.2. Form an equation involving x, in the form x + bx +c=0.
Answer:
0.2x² - 0.2x - 42 = 0
Step-by-step explanation:
Number of counters = x
Number of blue counters =7
Probability, p = required outcome / Total possible outcomes
P(Sam picks blue ) : = 7/x
P(jill picks blue) = 6/(x - 1)
P(Sam picks blue) * P(Jill picks blue) = 0.2
7/x * 6/(x-1) = 0.2
42/x(x - 1) = 0.2
42 / x² - x= 0.2
42 = 0.2(x² - x)
42 = 0.2x² - 0.2x
0.2x² - 0.2x - 42
"
Use the non- linear shooting method with accuracy 10^-1 (stop at 2nd iteration if this accuracy is not attained earlier) to solve the boundary-value problem: y"=-yy'+y, and 1<=x<=2, y(1)=1/2,y(2) =1/3. use h =0.5.Compare your results with actual solution : y(x) =1/ (x+1).
The non-linear shooting method with an accuracy of [tex]10^{-1}[/tex] was applied to solve the boundary-value problem y" = -yy' + y. The results were compared with the actual solution y(x) = 1/(x+1).
To solve the given boundary-value problem using the shooting method, we consider the problem as an initial-value problem by introducing an initial condition for y'(1).
Then, an iterative process is performed to find the appropriate value of y'(1) that satisfies the second boundary condition at x = 2.
Starting with an initial guess for y'(1), say y'(1) = a, we integrate the differential equation y" = -yy' + y numerically over the interval 1 <= x <= 2 using a step size of h = 0.5.
The numerical integration can be done using methods such as the Runge-Kutta method.
At each iteration, we compare the computed value of y(2) with the desired boundary condition y(2) = 1/3. If the accuracy of [tex]10^{-1}[/tex] is not attained after the second iteration, the process is stopped.
If the accuracy is achieved, the solution is considered as the actual solution.By comparing the obtained numerical solution with the actual solution y(x) = 1/(x+1), we can evaluate the accuracy of the non-linear shooting method.
The difference between the two solutions can be analyzed to assess the effectiveness of the method in solving the given boundary-value problem.
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a large population is bi modal samples of sixe 40 are drawn in a sampling distribution
The given statement mentions a large population that exhibits a bimodal distribution. Bimodal distribution means that the data has two distinct peaks or modes.
Additionally, it states that samples of size 40 are drawn from this population, resulting in a sampling distribution.
A sampling distribution refers to the distribution of a statistic, such as the mean or proportion, calculated from multiple samples drawn from the same population. In this case, samples of size 40 are drawn, which means that each sample consists of 40 observations from the population.
The statement does not provide specific details about the purpose or objective of analyzing the sampling distribution. However, studying the sampling distribution can provide valuable insights into the behavior and properties of the population. It allows researchers to make inferences about the population parameters based on the statistics calculated from the samples.
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PLSS HELPPP THIS IS DUE TONIGHT
Answer: A triangle is equal to 180 degrees.
The equation would be x+82+x-14=180.
2x+68=180
2x=112
X=56
Step-by-step explanation:
SURFACE AREA!!
can someone please help me get the answer on these two I’m stuck
Answer:
96 i think :)
Step-by-step explanation:
15x4=60
6x6=36
60+36=96
Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in centimeters?
Answer:
...
Step-by-step explanation:
the answer is 10.2 :)
Which is NOT true?
A 11 = 11
B 11 = 18 - 7
C 11 + 5 = 15 + 11
D 11 + 3 = 6 + 8
Answer:
C
Step-by-step explanation:
11+5=15
15+11=26
15 does not equal 26
Answer:C 11 + 5 = 15 + 11
Step-by-step explanation:
This is the only one that is false because the left side of the equation is equal to 16 and the right side of the equation is equal to 26
Diddy Corp. Stock has a beta of 1.2, the current risk-free rate is 6 percent, and the expected return on the market is 14.50 percent. What is Diddy's cost of equity?
Answer: 16.2%
Step-by-step explanation:
You can find the cost of equity using the Capital Asset Pricing Model (CAPM).
Cost of equity = Risk free rate + Beta * (Expected return on market - Risk free rate)
= 6% + 1.2 * (14.50 - 6%)
= 6% + 10.2%
= 16.2%
Raymond takes a 28-inch by 21-inch rectangle of plywood and uses a table saw to cut from one corner of the piece of plywood to the diagonally opposite corner. Now Raymond has two equally sized triangles of plywood. What is the perimeter of each triangle?
Step-by-step explanation:
just to fit characters ...........