Fingerprint analysis and blood grouping are features that do not change through the lifetime of an individual. Fingerprint features appear early in the development of a fetus, and blood types are determined by genetics. Therefore, each is considered an effective tool for identification of individuals. These characteristics are also of interest in the discipline of biological anthropology—a scientific discipline concerned with the biological and behavioral aspects of human beings.

The relationship between these characteristics was the subject of a study conducted by biological anthropologists with a simple random sample of male students from a certain region with a large student population. Fingerprint patterns are generally classified as loops, whorls, and arches. The four principal blood types are designated as A, B, AB
, and O. The table shows the distribution of fingerprint patterns and blood types for the sample. Expected counts are listed in parentheses. The anthropologists were interested in the possible association between the variables.

Blood Type
A B AB
O Total
Loops 66 (71.69) 99 (112.19) 35 (32.29) 101 (84.83) 301
Whorls 51 (47.16) 91 (73.80) 15 (21.24) 41 (55.80) 198
Arches 14 (12.15) 15 (19.01) 9 (5.47) 13 (14.37) 51
Total 131 205 59 155 550
(a) Is the test for an association in this case a chi-square test of independence, or a chi-square test of homogeneity? Justify your choice.



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Question 2
(b) Identify the conditions for the chi-square inference procedure selected in part (a), and indicate whether the conditions are met.

B)

1 / 10000 Word Limit
Question 3
(c) The resulting chi-square test statistic from the appropriate test is approximately 18.930. What are the degrees of freedom and p
-value of the test?



0 / 10000 Word Limit
Question 4
(d) Biological anthropology is concerned with the comparative study of human origin, evolution and diversity. Considering the sampling design in this study, to what population is it reasonable for the researchers to generalize their results?

Answer:

C

Step-by-step explanation:

ege 2020

Answer:

divide the previous value by 5

Step-by-step explanation:

Answer:

Standard Form:

\(y=2x^{2} -4x+6\)

Vertex Form:

\(y=-2(x+1)^{2} +8\)

Step-by-step explanation:

General equation:

\(y=a(x-h)^{2}+k\)

To find a, substitute the points to the general equation.

vertex (h,k)

(2, -10) (x,y)

Find y, use the general equation and substitute  the vertex points (h,k) and a to get the standard form.

The possible location of point A is (x, y), which is the same as the location of point B and point C, there is only one possible location for point A, and it is the same as the location of point B and point C.

Let's solve this step by step.

First, let's consider the information given:

Point C has the same y-coordinate as point B.

The distance between point B and point C is equal to the distance between point C and the y-axis.

Point A has the same x-coordinate as point C.

The distance between point A and point C is twice the distance between point B and point C.

Let's denote the coordinates of point B as (x, y), and we'll let y be the y-coordinate of point B.

From point 2, we know that the distance between point B and point C is equal to the distance between point C and the y-axis. This implies that point C lies on the vertical line passing through point B. So, the x-coordinate of point C is the same as that of point B, which is x.

From point 1, we know that point C has the same y-coordinate as point B, so the coordinates of point C are (x, y).

From point 4, we know that the distance between point A and point C is twice the distance between point B and point C. Since the distance between two points can be calculated using the distance formula, let's write the equations based on the given information:

Distance between point B and point C = Distance between point C and y-axis

√((x - x)² + (y - y)²) = √(x² + y²)

Simplifying the equation:

0 = √(x² + y²) - √(x² + y²)

This implies that the distance between point B and point C is 0, which means point B and point C coincide. Therefore, point A and point C also coincide since they have the same x-coordinate.

In summary, the possible location of point A is (x, y), which is the same as the location of point B and point C. So, there is only one possible location for point A, and it is the same as the location of point B and point C.

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The opposite of the opposite of -2 is equal to: -2

This can be solved by using the concept of inverse.

This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.

The term inverse in mathematics refers to the inverse of another operation.

In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.

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Answer:

The answer I went for was B) (8 3/4, 10) because It tells you 3/4 is ur distance point so you need to count from 3/4 thats how i did it I check my answer :)

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

This can be set up as a proportion.

\(\frac{32}{-4} = \frac{x}{-0.375} \\\)

Then, cross multiply -4x = -12. (The -12 came from multiplying 32 and -0.375). Divide both sides by -4 to get x = 3.

Answer:

4. x²+x

Step-by-step explanation:

the product of x(x + 1) = (x)(x) + (x)(1)

= x²+x

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

85,600:6,905.22

Step-by-step explanation:

Check the picture below.

Answer:

0.306

Step-by-step explanation:

Using binomial probability,

\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)

The eigenvalue of T are 0,1,2,3,4 and the corresponding eigenvectors are of the form c, cx, cx2, cx3, cx4, where c ∈ R and c≠ 0.

A typical element p of P4(R) is given by expression p(x)= a0 +a1x+a2x2 +a3x3 +a4x4,

where a0,  .... , a4 ∈ R.

With that expression, the eigenvalue-eigenvector equation Tp = λp, which in

this case is xp′(x) = λp(x), becomes

a1x+2a2x2 +3a3x3 +4a4x4 = λ(a0 +a1x+a2x2 +a3x3 +a4x4)

Comparing coefficients in the equation above, we see that the eigenvalue-eigenvector equation is equivalent to the system of equations

0 = λa0 a1 = λa1 2a2 = λa2 3a3 = λa3

4a4 = λa4.

From the equations above, we can see that if j ∈ {0, 1, 2, 3, 4} and aj≠ 0, then we have λ = j and ak = 0 for any k≠ j. Thus the eigenvalue of T are 0,1,2,3,4 and the corresponding eigenvectors are of the form c, cx, cx2, cx3, cx4, where c ∈ R and c≠ 0.

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Oliver's number is bigger than that of Chen.

It is a number equal to 10 times 10.

Given is that Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds, my number must be bigger.

Oliver number can be written as follows -

8 x 10 x 10

Chens number can be written as follows -

3 x 10 x 10

It can be concluded that Oliver's number is bigger than that of Chen.

Therefore, Oliver's number is bigger than that of Chen.

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Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Answer:

I believe it's C

Answer:

B. 4/10 of 2/3

Step-by-step explanation:

The blue is 2/3 of the entire figure.

the striped is 4/10 of the blue.

Therefore it is 4/10 of 2/3.

Answer:

  Draw perpendicular bisectors of two the sides

Step-by-step explanation:

The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.

The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.

Answer:

The answer is C

Step-by-step explanation:

EDGE2020

Answer is below

↓↓↓↓↓

The total distance traveled by Amelia to her friend's house is d = 510 miles

Given data ,

Let the distance traveled by Amelia to her friend's house be d

Now , the speed of the final 4 hours of her journey = 60 km/hr

So , the distance traveled in the final 4 hours = 4 x 60 = 240 km

And , the initial distance traveled = 270 km

So , from the graph

The total distance d = 270 + 240

d = 510 miles

Hence , the distance traveled by Amelia = 510 miles

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Answer:

Step-by-step explanation:

I. the point is is moved 4 to the right of the center point and 2 down. So it is (4, -2)

P. This point is moved negative 4 (to the left) and down 3 . So it is: (-4, -3)

G. This point is moved 5 to the right and then up 2 which makes it (5, 2)

Q.  This point is moved 6 to the right and 4 down which makes it (6, -4)

R. This point is moved 2 to the left and 2 up which makes it (-2, 2)

S. (6, 4)

J. (-2, -4)

U. (-5, 0)

H. (3, -1)

K. (-6, -5)

Answer:

Answer:

21378.6

Step-by-step explanation:

You move the decimal point four places towards the right.

Answer:

21378.6

Step-by-step explanation:

The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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Answer:

its 10/3

Step-by-step explanation:

Answer:

\( = \frac{10}{3} = 3 \frac{1}{3} \)

Step-by-step explanation:

\( \frac{5}{6} \div \frac{1}{4} \)

\( \frac{5}{6} \times 4\)

\( \frac{5}{3} \times 2\)

\( \boxed{\green{= \frac{10}{3} = 3 \frac{1}{3}}} \)

Answer:

12

Step-by-step explanation:

3

9

(100−64)

=12

Answer:

b=64 96/149

Step-by-step explanation:

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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Answer:

$130/4

Step-by-step explanation:

Jacinta has 2 blue marbles , 4 red marbles and 5 green marbles in a bag, all the marbles are the same size, she will select one marbles from the marble from the bag without looking what is the possibility that Jacinta will choose the green marble

The possibility that Jacinta will choose the green marble is 45.5%

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

Given that, Jacinta has 2 blue marbles, 4 red marbles and 5 green marbles in a bag, all the marbles are the same size,
We need to find the possibility that Jacinta will choose the green marble,

So, here we will use the concept of probability, probability tell us the chances of happening of an event.

The formula =

Probability = favorable outcomes / total outcomes.

Here, the favorable outcomes = green marble (5)

The total outcomes = total number of marbles = 5+4+2 = 11

So, P(getting the green marble) = 5/11 = 0.454545 = 45.5%

Hence, the possibility that Jacinta will choose the green marble is 45.5%

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Answer:

x/5

Step-by-step explanation:

W/5 is also D. How it helps.

Answer:

38

Step-by-step explanation:

Let x be the number of ten dollar

Number of five dollar=3x

Total amount of money in the cash register=$950

We have to find the number of ten dollar bill in the cash register.

According to question

\(5\times (3x)+10x=950\)

\(15x+10x=950\)

\(25x=950\)

\(x=\frac{950}{25}\)

\(x=38\)

Hence, number of  ten dollar bills  in the cash register=38