Lobe-finned fishes were present in the oceans of the world approximately 400 million years ago. The first tetrapods (vertebrates that had limbs and could move on land) date to about 365 million years ago. One hypothesis states that early tetrapods evolved from lobe-finned fishes. What is the best plan for testing this hypothesis?
Answer:
comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.
Step-by-step explanation:
Based on the modern method of archeological findings used, it is the view of some scientists that the best plan to test the hypothesis (assumption) that early tetrapods might have evolved from lobe-finned fishes involves comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.
The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first
number and let b represent the second number. What are the two numbers? Use the table to answer the question.
Numbers
а
b
a+b=39
Check
b-za+6
20
19
39
39
22
24
26
17
15
39
39
13
20 and 19
22 and 17
24 and 15
Answer:
17 and 22 edge 2021
Step-by-step explanation:
find the absolute value of -5 1/6
brainliest to right answer
Answer:
The absolute value is 5 1/6
Step-by-step explanation:
The absolute value is how far away an answer is to zero so we just take away the negative for this question.
Which expressions are equivalent to 16^(3/2)?
Answer:
16^(3/2)=64
Step-by-step explanation:
2t + t =68
a. find t
b. fint 2t
Answer:
t = 22[tex]\frac{2}{3}[/tex]
2t = 45[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3t = 68
t = 68/3
What’s the answer to this question ?
Step-by-step explanation:
112=35+d
112-35=d
d=77
hope it helps u
The length of a bridge is 130m. The length of each of roberts paces is 70cm what is the minimum number of the full paces that it would take Robert to walk the full length of the bridge
The function f is defined by f(x) = 5x2 + 2x + 5. What is the value of f(2)?
Answer:
[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]
Ms. Chang has 16 students in her class. She wants to send 3 of her students to pick up books for the class. How many combinations of students can she choose?
Blackcap birds (Sylvia atricapilla) migrate out of Germany before wintertime. Prior to the 1960s, all members of a particular blackcap population flew to Spain, which had an abundant natural food source. Now, some members of the same blackcap population fly to the United Kingdom, where food placed in feeders by humans is abundant. The blackcaps return to the same forests in Germany to nest during the breeding season.
Some blackcaps that migrate to the United Kingdom have become distinguishable by certain physical and behavioral traits from blackcaps that migrate to Spain. Which of the following best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter?
A- The blackcaps that migrate to Spain will selectively mate with the blackcaps that migrate to the United Kingdom, resulting in increased genetic variation in the blackcap population.
B- The blackcaps that migrate to the United Kingdom will become reproductively isolated from the blackcaps that migrate to Spain, resulting in speciation in the blackcap population.
C- The blackcaps in Spain and the United Kingdom will migrate to other geographical locations in search of potential mating partners, resulting in a smaller blackcap population in Germany.
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Answer:
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Step-by-step explanation:
By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.
This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.
Scores at a local high school on the American College Testing (ACT) college entrance exam follow the normal distribution with a mean of 18 and a standard deviation of 8. A guidance counselor takes a random sample of 20 students and calculates the mean score, x¯.
(a) Calculate the mean and standard deviation of the sampling distribution of x¯.
(b) Interpret the standard deviation from part (a).
(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.
Answer:
a) The mean is 18 and the standard deviation is 1.79.
b) The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.
c) 0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 18 and a standard deviation of 8.
This means that [tex]\mu = 18, \sigma = 8[/tex]
Sample of 20:
This means that [tex]n = 20, s = \frac{8}{\sqrt{20}} = 1.79[/tex]
(a) Calculate the mean and standard deviation of the sampling distribution of x¯.
By the Central Limit Theorem, the mean is 18 and the standard deviation is 1.79.
(b) Interpret the standard deviation from part (a).
The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.
(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.
This is 1 subtracted by the pvalue of Z when X = 19.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 18}{1.79}[/tex]
[tex]Z = 0.84[/tex]
[tex]Z = 0.84[/tex] has a pvalue of 0.7995
1 - 0.7995 = 0.2005
0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.
What is the answer please help no links please no links please no
Select all the numbers that round to 0.1 when rounded to the nearest tenth ?
3. Write the equation of the circle with a center at (-6, 1) and an area of 7n.
A Q(x + 6)^2 + (y - 1)^2 = 14
B (x - 6)^2 + (y + 1)^2 = 49
C (x + 6)^2 + (y - 1)^2 = 49
D (x + 6)^2 + (y - 1)^2 = 7
E (x - 6)^2 + (y + 1)^2 = 7
Answer:
D [tex] (x +6) ^2 +(y-1)^2 =7 [/tex]
Step-by-step explanation:
Center of the circle (h, k) = (-6, 1)
Area of the circle [tex] =\pi r^2 [/tex]
[tex] 7\pi=\pi r^2 [/tex]
[tex] \frac {7\pi}{\pi} =r^2 [/tex]
[tex]r^2=7[/tex]
[tex]r=\sqrt 7[/tex]
Radius [tex] r=\sqrt {7}[/tex]
Equation of circle in center radius form is given as:
[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] [x - (- 6)] ^2 +[y-1 ]^2 =(\sqrt {7})^2 [/tex]
[tex] (x +6) ^2 +(y-1)^2 =7 [/tex]
Mohamed spent $40 buying three pizzas do you order the wings roommates. Each pizza cost twice as much as the wings +1 dollar. What does one order of wings cost
Answer:
26
Step-by-step explanation:
Is (9,5) a solution to this system of inequalities?
X + y > 14
7x + 13y > 15
yes
no
Answer:
yes it is..............
A and b are positive integers and a-b=2. Evaluate the following: 4^1/2 / 2^b
Suppose we know that a confidence interval is (71,95), with a sample mean of x¯=83.
What is the margin of error?
Give just a number for your answer. For example, if you found that the margin of error was 2, you would enter 2.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Recall :
Confidence interval = xbar ± margin of error
Xbar = 83
Confidence interval = (71, 95)
We could use either the lower or upper boundary to obtain an integer for the margin of error :
Using the upper boundary :
Upper boundary = Xbar + margin of error
95 = 83 + margin of error
Margin of Error = 95 - 83
Margin of Error = 12
What is the slope of the line 1/7
Answer:
3/4
Step-by-step explanation:
Well its a incomplete Question but i am solving a realted type Question .
• Find the slope of the line -3x - 4y = 12 :-
Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,
m is slope c is y Intercept⇒ -3x -4y = 12
⇒ -4y = 12 +3x
⇒ y = 3x + 12 /4
⇒ y = 3/4x + 12/3
⇒ y = ¾x + 4
Comparing to Standard Form⇒ m = ¾
⇒ c = 4
Hence the slope of the line is 3/4.Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes. How many different outfits does Natalie have to choose from?
Answer:
Shirt A, Skirt A, Shoe A
Shirt A, Skirt A, Shoe B
Shirt A, Skirt B, Shoe A
Shirt A, Skirt B, Shoe B
Shirt A, Skirt C, Shoe A
Shirt A, Skirt C, Shoe B
The number of ways Natalie has to choose outfits for her first day school is 28 ways.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes.
Let 7 pairs of pants be P1, P2, P3, P4, P5, P6 and P7.
Let 2 t-shirts be T1 and T2
Let 2 pairs of shoes be S1 and S2
Now,
1) P1, T1, S1
2) P1, T2, S2
3) P2, T1, S1
4) P2, T2, S2
5) P3, T1, S1
6) P3, T2, S2
7) P4, T1, S1
8) P4, T2, S2
9) P5, T1, S1
10) P5, T2, S2
11) P6, T1, S1
12) P6, T2, S2
13) P7, T1, S1
14) P7, T2, S2
15) P1, T1, S2
16) P1, T2, S1
17) P2, T1, S2
18) P2, T2, S1
19) P3, T1, S2
20) P3, T2, S1
21) P4, T1, S2
22) P4, T2, S1
23) P5, T1, S2
24) P5, T2, S1
25) P6, T1, S2
26) P6, T2, S1
27) P7, T1, S2
28) P7, T2, S1
Other way = 7×2×2
= 28 ways
Therefore, the number of ways is 28 ways.
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tomen puntos y doy corona al primero que comente hola
Answer:
hewo nice to meet ya
Step-by-step explanation:
hi hello
Answer:
Hola!
*Spanish*
Gracias por los puntos!
Last year, your salary was $33,975. This year, your boss tells you your salary will be $34,960. What percent raise (change) did you receive? Round your answer to the nearest tenth of a percent.
Answer:
2.9%
Step-by-step explanation:
Help me pls I’ll mark you brainless
Answer:
b
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
The area of a rectangle is 42 square meters. The length is 7 meters. What is the width?
Please help please please ASAP please please help please
Answer:
true
Step-by-step explanation:
the total surface area of a solid is the sum of all faces both the bottom (base) and the top
A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8
Answer:
Step-by-step explanation:
A circular spinner is divided into 17 sectors of equal area. There are 6 red sectors, 6 blue, 3 yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability
that the spinner lands on blue or green.
The probability that the spinner lands on blue or green is
Answer:
8/17 or 47% or .47
Step-by-step explanation:
8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun
The required probability is 8/17 that the spinner lands on blue or green.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.
The total number of outcomes. = 6 + 6 + 3 + 2
So n(S) = 17
Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8
Consider the experiment of once spinning the spinner.
The probability of the spinner landing on blue or green will be
⇒ P(E) = n(E)/n(S)
⇒ P(E) = 8/17
Therefore, the required probability is 8/17 that the spinner lands on blue or green.
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max is a 22 year old planning to retire at age 67 he is i vesting in a mutual fund and hopes to earn the average inflation adjusted stock market return of 7% anually. If max deposits $200 per month into this fund, how much can he expect to have when he retires? Show work
Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.
How to calculate the future value (FV)?The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:
FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)
Where;
FV = Future value or the expected amount when he retires = ?
D = Monthly deposit = $200
r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333
n = number of months = (67 - 22) * 12 = 540
Substituting the values into equation (1), we have:
FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)
FV = $758,518.94
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Liz has 4 times as many points as Joey in a video game. Together they have fewer than 150 points. Which inequality can be used to determine the least number of points that Joey can have?
A. 4x+4<150
B. 4x+4≤ 100
C. 4x+x<150
D.4x+x≥150
I will select u as brilliant :)
Answer:
C. 4x + x < 150
Step-by-step explanation:
x = Joey's points
4x = Liz's Points
together they have fewer than 150 points means the inequality is < 150
So the answer is: 4x + x < 150
Answer:
This may help you I think so
Which equation best describes the functional
relationship in the data set?
[(-3,-7), (0, -1), (2,3))
A y= -4x-5
B y= -2x- 1
C y= 2x - 1
D y= 3x + 2
Answer:
C
Step-by-step explanation:
y=2x-1 your welcome I need to put more characters so skdjdnnn
Answer:
Y=2x-1
Step-by-step explanation:
the three data sets all work for y=2x-1
-7=-6-1
-7=-7
or
-1=0-1
-1=-1
or
3=4-1
3=3