Drag the blue labels onto the table to identify the data that is relevant to each hypothesis. then use the pink labels to indicate whether each hypothesis is supported or not supported by the data answers
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Hypothesis 1 supported (potentially adapted wings), 2 needs more data, 3 and 4 not supported (scavengers and traffic constant).
Here's how to proceed:
1. Match Data to Hypotheses:
Hypothesis 1:
Relevant Data: "The wing shapes of swallows killed on roads differ from those of the general population."
Hypothesis 2:
Relevant Data: Not directly provided in the given options. More information is needed about the actual population size of cliff swallows living near roads over time.
Hypothesis 3:
Relevant Data: "Avian scavengers did not increase during this time, and terrestrial scavengers probably did not increase."
Hypothesis 4:
Relevant Data: "Car traffic stayed the same or increased during this time."
2. Evaluate Hypothesis Support:
Hypothesis 1:
Supported (additional data may be needed). The wing shape difference suggests potential adaptation, but more evidence would strengthen the conclusion.
Hypothesis 2:
Cannot be determined without direct data on population size changes.
Hypothesis 3:
Not supported (probably not a factor). The data indicates scavenger populations haven't increased, suggesting they aren't significantly affecting the number of road-killed swallows found.
Hypothesis 4:
Not supported (probably not a factor). The data shows car traffic has remained steady or increased, making it less likely to be the cause of a decrease in observed road-killed swallows.
Complete Question:
Related Questions
A rectangular box has length 14 inches, width 11 inches, and a height of 16 inches. find the angle between the diagonal of the box and the diagonal of its base. the angle should be measured in radians.
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there are some numbers that can be made into only one array. Find all of these numbers up to 50.
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The prime numbers up to 50 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47
Write out the sample space for the given experiment. use the letter b to indicate boys and g for girls. a couple plans to have 33 children.
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An example of one possible outcome in the sample space:
[tex]\[ \text{bgbbggbggbgbgbggbbgbgbgbbggbgbgb} \][/tex]
To create the sample space for the given experiment, where a couple plans to have 33 children, we'll represent the possible outcomes using the letters "b" for boys and "g" for girls. The sample space for having 33 children can be represented as a sequence of "b" and "g", where each letter represents the gender of a child. Since there are 33 children, the sample space will consist of all possible sequences of 33 "b"s and "g"s.[tex]\[ \text{bgbbggbggbgbgbggbbgbgbgbbggbgbgb} \][/tex]
Each letter in the sequence represents the gender of a child, with "b" indicating a boy and "g" indicating a girl. The sample space consists of all possible sequences of 33 "b"s and "g"s, representing all possible combinations of boys and girls the couple could have among their 33 children.What is the equivalent decimal for 67/100,1/100,81/1000,9 6/10, 3 21/100,5 3/100, 4 77/1000
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67/100: If you divide it, it would be 0.67, and so on.
1/100: 0.01
81/1000: 0.081
9 6/10: 9.6
3 21/100: 3.21
5 3/100: 5.03
4 77/1000: 4.077
2. (0.01)
3 (0.081)
4. (9.6)
5. (3.21)
6. (5.03)
7. (4.077)
The time to fly between new york city and chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. what is the probability that a flight is less than 135 minutes
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find the intercept of the line 15.579x +23.354y=13.997. please round your answer
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x/21 = 3/63 solve the proportion
Answers
63x = 21 * 3
63x = 63
x = 63/63
x = 1
x = 3*21/63 = 63/63 = 1
Nissan Appliances bought two dozen camcorders at a total cost of $3,864. The markup on the camcorders is 30% of the selling price. What was the original selling price of each camcorder?
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now, we know that those 322 are including a 30% markup, so, the orignal price have been bumped up by 30%, now, if we take say "x" to be the original price, or 100%, then 322 is he 100% + 30%, or 130%, what's "x" anyway?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 322&130 \end{array}\implies \cfrac{x}{322}=\cfrac{100}{130}\implies x=\cfrac{322\cdot 100}{130}[/tex]
Sean lives about 15.5 miles from the airport. Which number rounds to 15.5 when rounded to the nearest tenth?
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15.51
EXPLANATION(S):
15.51 rounded to nearest tenth is 15
*more than one answer
You have 10,600 to 10,425 find the percent decrease
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10600 - 10425 = 175
Step 2) Divide the result of step 1 over the original value (10600) to get 175/10600 = 0.016509
This value is approximate
Step 3) Multiply the result from step 2 by 100
0.016509*100 = 1.6509%
This value is approximate
The percent decrease is roughly 1.6509%
you have a secret that you to one person every hour each of the people that know the secret tells one person. The number of people who know when is N and T is the number of hours since you told the first person. Is an a linear function s of t?
Answers
Before you tell anybody, only one person knows the secret (that is you), therefore: N(0) = 1
When the first person know, now two people know, therefore: N(1) = 2
After an hour, each of you would have told another person. So now, four people know, therefore, N(2) = 4
This pattern continues with the same manner where it doubles every hour.
As you can see, this is NOT a linear function. It is an exponential function where N(t) = 2^t
HELP ME PLEASE!!
-1.3 ≥ 2.9 -0.6r
Graph the solution
Answers
The solution to the inequality -1.3 ≥ 2.9 -0.6r, is r ≤ 7. This is represented on a graph by placing a closed circle on 7 and drawing a line to the left, to represent all numbers less than 7.
Explanation:To solve this inequality, -1.3 ≥ 2.9 -0.6r, first, we isolate the variable r (which represents solving for 'r'). Start by subtracting 2.9 from both sides of the inequality.
This gives us -4.2 ≥ -0.6r. Then divide both sides by -0.6. However, remember when dividing or multiplying an inequality by a negative number, the direction of the inequality changes. So, it becomes r ≤ 7.
When graphing this inequality, you will place a closed circle at 7 (showing that point is included) and draw a line to the left from 7, extending to infinity (since all numbers less than 7 satisfy the inequality).
The graph represents the mathematical solution to the inequality.
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Is the product of an irrational number with a rational number always an irrational number??
Answers
So the template is
(rational)*(irrational) = irrational
-------------------------------------------------------------------------------------
Here's proof of the claim. Let's make p, q, r, s to be integers. Let's also make m be some irrational number
For now let's assume that multiplying a rational number with an irrational number leads to a rational result. The aim is to use contradiction to prove the opposite.
p/q is rational by definition (make q nonzero)
so is r/s
m is irrational
So the claim so far is
(p/q)*m = r/s
Now multiply both sides by the reciprocal of p/q. That would be q/p
(p/q)*m = r/s
(q/p)*(p/q)*m = (q/p)*(r/s)
m = (q*r)/(p*s)
The right side of the last equation is a rational number since q*r and p*s are integers (p and s are nonzero)
But m was originally irrational. So this is where the contradiction kicks in. This invalidates the initial claim "the product of a rational and irrational number is rational" proving the claim made by your textbook.
So this completes the proof.
3.4 divided by 0.16728
Answers
Sue and jonah shose nummbers for a place value game.Sue chose the number one hundred.Jonah chose five million for his number.who chose the greater number
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calculate each of the following by using scientific notation and product rule. write the answer in scientific notation. 2.3 x 10^4 times 4.2 x 10^6
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ab=ba and (ab)c=a(bc)
also, the exponential rules
[tex](x^m)(x^n)=x^{m+n}[/tex]
also, scientific notation is [tex]a*10^m[/tex] where 1≤x<10 and m is an integer
therefor
[tex](2.3*10^4) \space\ times \space\ (4.2*10^6)=[/tex]
[tex](2.3)(10^4)(4.2)(10^6)=[/tex]
[tex](2.3)(4.2)(10^4)(10^6)=[/tex]
[tex](9.66)(10^{4+6})=[/tex]
[tex]9.66*10^{10}[/tex]
What is the next number in the sequence: 4, 11, 25, 53...?
Answers
Answer:
109
Step-by-step explanation:
Given that there is a sequence of numbers as
4,11,25,53,...
We have to find the next number.
To find the next number, let us see the pattern from the given four numbers
We have
I number = 4
II number = 4+7
III number = II number + 2(7)
Iv number = III number +4(7)
So if we guess this pattern continues the next number namely v number would be
V number = IV number +8(7)
=53+56
109
i.e. I number is added by 7, II number by 2(7), III number by 2^2(7)
hence next number 2^3(7)
Answer is 109
The next number in the sequence is:
109Obtaining the sequenceAs can be seen, the first number is a selected number, which in this case is four, to which seven are added to obtain:
4 + 7 = 11Then double 7 is added to that number, that is 14, with which you get:
11 + 14 = 25The double of 14 is added to that number, which is 28, so the next number is: 25 + 28 = 53And to get the next number, double 28 must be added, which is 56, therefore:
53 + 56 = 109By this reason, the next number in the sequence is 109.
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the moon is 250,000 miles away. how many feet is it from earth
Answers
To convert the distance from the Earth to the Moon from miles to feet, multiply 250,000 miles by the number of feet in a mile, which is 5,280. This calculation yields a result of approximately 1.32 billion feet.
The distance from the Earth to the Moon is given as 250,000 miles. To convert this distance from miles to feet, we use the fact that there are 5,280 feet in a mile. Thus, we multiply the distance in miles by the number of feet per mile.
To find the distance in feet, perform the following calculation:
Multiply the distance in miles by the number of feet per mile: 250,000 miles × 5,280 feet/mile.
This equals 1,320,000,000 feet.
Therefore, the Moon is approximately 1.32 billion feet away from Earth.
Your car gets about 30 miles per gallon. You are planning to drive to see your friends who live about 930 miles away. How many gallons of gas will you need to purchase to make the trip to see your friends and return home? State your anwser to the nearest gallon?
Answers
For the round trip of 930 miles each way, you will need to purchase about 62 gallons of gas, given a car's gas mileage of 30 miles per gallon.
To calculate the gallons of gas needed for the round trip, follow these steps:
Calculate the total distance for the round trip.
The round trip distance is twice the one-way distance.
Round trip distance = 2 * 930 miles = 1860 miles.
Find the number of gallons required for the round trip.
Divide the total distance by the car's gas mileage (miles per gallon).
Gallons required = Round trip distance / Gas mileage
Gallons required = 1860 miles / 30 miles per gallon
Perform the division.
Gallons required = 62 gallons.
Round the answer.
Since you cannot purchase a fraction of a gallon, round the answer to the nearest gallon.
You will need to purchase approximately 62 gallons of gas for the round trip.
So, to make the trip to see your friends and return home, you will need to purchase about 62 gallons of gas.
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what is 63.75 minus 13.25 please really need help.
Answers
.75 - .27 = .50
63 - 13 = 60
x = 60.50
hope this helps
A mountain climber climbed down a cliff 50 feet at a time . He did this 5 times in one day . What is the overall change in his elevation ?
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Multiplication Property of Inequality -1/2x<-12 simplify it all the way through
Answers
So we'll go from this
(-1/2)x < -12
to this
x > 24
which is the final answer
Note: If you need to graph x > 24, then plot 24 on the number line. Draw an open circle at 24 and shade to the right of this open circle. The open circle tells the reader "the endpoint 24 is not part of the solution set".
Edit: the full steps are...
(-1/2)x < -12
-2*(-1/2)x > -2*(-12)
(-2*-1/2)x > 24
2/2x > 24
1x > 24
x > 24
Let me know if that helps or not. Thank you.
A PS4 uses 8.8 watts when on stand-by mode. How much carbon dioxide is emitted into the atmosphere by using this electricity?
Answers
= (1293.6 watt.hr/week) / (1 kW/1000w)
= 1.29 KW hr/ week
b. carbon emission = 2.1lb/KW
= 1.29 KW x 2.1lb/KW
= 2.71 lb
Given the point and it''s image, determine the scale factor. A (3, 6) A'' (4.5, 9) G'' (3, 6) G (1.5, 3) B (2, 5) B'' (1, 2.5).
Answers
So for A we have 3 in the front and 4.5 for A"
4.5/3 = 1.5
We can check if this is actually the scale factor but using the other numbers
The second numbers for A and A" are 6 and 9
6 * 1.5 = 9
So for point A it is 1.5
Use the same thing for G. That gives you 2
For B, you get 0.5
So the scale factors are 1.5, 2, and 0.5
Final answer:
The scale factors for the points given are 1.5 for A to A', indicating an enlargement, and 0.5 for B to B', indicating a reduction. G to G' also indicates a reduction with a factor of 0.5.
Explanation:
To determine the scale factor given the point and its image, you can find the ratio between the coordinates of the image and the original coordinates. Let's analyze the pairs of points you've provided:
A (3, 6) and A' (4.5, 9)
G (1.5, 3) and G' (3, 6)
B (2, 5) and B' (1, 2.5)
We can find the scale factor by dividing the x-coordinates of the image by the original x-coordinate and doing the same for the y-coordinates. For point A:
Scale factor for x: 4.5 / 3 = 1.5
Scale factor for y: 9 / 6 = 1.5
For point G, we see that it's actually the reverse (original to image), but you can still calculate:
Scale factor for x: 3 / 1.5 = 2
Scale factor for y: 6 / 3 = 2
Lastly, for point B:
Scale factor for x: 1 / 2 = 0.5
Scale factor for y: 2.5 / 5 = 0.5
So, the scale factors for A to A' and for B to B' are 1.5 and 0.5, respectively, showing that A to A' is an enlargement while B to B' is a reduction. For G to G', the reverse is a reduction with a factor of 0.5.
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas?
Answers
21 mile per gallon
7 gallons X 21 =147
In the citation, davis v. baugh industrial contractors, inc. 159 wash.2d 413, 150 p.3d 545 (2007) what does the "2d." represent
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Answer:
-7(k+9)=9(k-5)-14k
Answers
-7k-63=(9k-45)-14k
-7k-63=-5k-45
-7k=-5k+18
-2k=18
k=-9
Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
Help on this, please?
Answers
The two base numbers can be represented as x and y. Setting them equal in the equation x * y = 2(x + y) allows you to solve for them. One solution is x = 2 and y = 2.
Explanation:This problem can be solved using basic algebra. Let's assume the two base numbers be x and y. Since the product of the two base numbers (x * y) is twice as large as the sum of those numbers (x + y), we can create the following equation: x * y = 2(x + y).
To solve for x and y, you may set x and y to different numbers and check if they satisfy the equation. One solution is x = 2 and y = 2, since 2*2 = 2(2+2). Similarly, other pairs of numbers may also satisfy this equation based on the specific constraints of Frederick's number puzzle.
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To solve the number puzzle, we need to find two base numbers whose product is exactly twice as large as their sum. By rearranging the terms and factoring, we can find the base numbers that satisfy the equation. An example solution is provided with a = 3 and b = 6.
Explanation:To solve the number puzzle, we need to find two base numbers whose product is exactly twice as large as their sum. Let's represent the base numbers as 'a' and 'b'. According to the information given, we have the equation:
ab = 2(a + b).
We can simplify the equation by rearranging the terms and factoring: ab - 2a - 2b = 0. Using a technique called 'completing the square', we can rewrite the equation as (a - 2)(b - 2) = 4.
From here, we can choose different values for 'a' and 'b' that satisfy the equation, such as a = 3 and b = 6. Therefore, the base numbers for the number puzzle are 3 and 6.
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Tiffany Baldwin earns $800 every week. Her federal income tax is $25. Her state tax is $11. Her FICA is 7.65% of his gross salary. She contributes 2% of her gross earnings to a 401K. She has $20 per paycheck deducted post-tax to pay for her gym membership. What are her pre-tax deductions?
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During first semester, the ratio of the number of students in our class to the number of students in gym class was 2 to 7. However, the art classes were really small, and the gym classes with large, so the principal change the students classes for second semester. In second semester, the ratio of the number of students in our class to the number of students in gym class was 5 to 4. If 75 students were in our class second semester, how many were in our class in gym class first semester.
Answers
cross multiply
5x = 300
x = 300/5
x = 60..... according to 2nd semester, there are 75 in art and 60 in gym....total of (75 + 60) = 135 total students in the two classes.
so in 1st semester, the ratio was 2:7....added = 9
2/9(135) = 270/9 = 30 in art class <==1st semester art
7/9(135) = 945/9 = 105 in gym class <== 1st semester gym