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. 0 / 10000 Word Limit0 words written of 10000 allowed 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 reason

Answer:

S ========================= 9

because 9+ 1= 10

simple

Answer:

s=3

Step-by-step explanation:

3s+1 = 10

To solve for s in this two step equation, we must first subtract 1 from each side.

3s+1-1 = 10-1

3s = 9

Then divide by 3 on each side.

3s/3 = 9/3

s=3

Answer:

O 20

Step-by-step explanation:

when you add 1 and 5 the mean only changes by a little.

but, once you add the 20 it makes your answer go up drastically which makes

O 20

your correct answer.

I hope this helps but i am not sure about the last qn.

the roots are 5/2, -5/2

The table graph X: -3, -2, -1, 0, 1; Y: 2, 8, 2, 1/2, 1/8 identify an exponential function.

To determine if the function represented by this table is linear, quadratic, or exponential, we can look for a pattern in the ratios of consecutive y-values to consecutive x-values.

Furthermore, the ratios decrease or increase depending on the direction of the movement, suggesting that the function is an exponential function.

Hence, we can conclude that the function represented by this table is an exponential function.

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Therefore, the sum of the first 6 terms of this arithmetic sequence is 57.

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed constant number to the previous term. The fixed constant number is called the common difference (d) of the sequence.

Here,

To find the sum of the first 6 terms of this arithmetic sequence, we can use the arithmetic sum formula:

Sn = n/2 * [2a + (n - 1)d]

where Sn is the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.

In this case, we have:

a = 2 (the first term)

d = 3 (the common difference, since each term is 3 more than the previous term)

n = 6 (the number of terms)

Substituting these values into the formula, we get:

S6 = 6/2 * [2(2) + (6 - 1)3]

= 3 * [4 + 15]

= 3 * 19

= 57

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(a) A quadratic equation is in the form: y = -12.87x² + 42.22x + 1.18

(b) The height of the rocket after 3 seconds would be 12.01 feet.

A quadratic equation is a polynomial equation with a maximum degree of two. Any equation that can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation.

Here, we have

Given: A rocket is launched upwards from the ground.

(a) A quadratic equation is in the form:

y = -12.87x² + 42.22x + 1.18

(b) When x = 3 seconds

y = -12.87(3)² + 42.22(3) + 1.18

y = 12.01 feet

Hence, the height of the rocket after 3 seconds is 12.01 feet.

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Answer: x = -2.5

Step-by-step explanation:

I think you meant 6x^2 + 15x = 0

6x^2 + 15x = 0

3x(2x + 5) = 0

2x + 5 = 0

2x = -5

x = -2.5

Answer:

50.23

Step-by-step explanation:

To calculate the difference between the offensive and defensive values, we simply subtract the defensive value from the offensive value:

81.8 - 31.57 = 50.23

The difference between the offensive and defensive values is 50.23.

The length of the longest side of AABC is 4 units, and the area of AABC is equal to the area of ADEF.

An angle is the figure formed by two rays or lines that share a common endpoint, called the vertex of the angle. The measure of an angle is usually given in degrees or radians and is determined by the amount of rotation between the two rays or lines. Angles are used in geometry and trigonometry to study shapes, distances, and other properties of objects.

Since AABC is similar to ADEF, the corresponding sides of the two triangles are proportional. Let the longest side of AABC be x. Then:

x/4 = 1/10 (since the ratio of the perimeters is 1:10)

Solving for x, we get:

x = 4/10 * 10 = 4

Therefore, the length of the longest side of AABC is 4 units.

Since the ratio of the areas of AABC to ADEF is 1:100, and we know that the longest side of ADEF measures 4, we can use the fact that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths:

Area of AABC / Area of ADEF =[tex](x/4)^2 = 1/100[/tex]

Substituting x = 4, we get:

Area of AABC / Area of ADEF[tex]= (4/4)^2 = 1[/tex]

So, the area of AABC is equal to the area of ADEF.

Therefore, The length of the longest side of AABC is 4 units, and the area of AABC is equal to the area of ADEF.

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Answer:  9.01

Step-by-step explanation:  8.5*0.02= 0.17 *3= 0.51+8.5=9.01

The volume of the clay brick is 2.25 cubic inches and the weight of the clay brick is 0.1575 pounds

The volume of the clay brick, we need to use the dimensions provided. The length of the brick is 1 inch and the width is 2 [tex]\frac{1}{4}[/tex] inches. We can assume the height of the brick is also 1 inch since it is not specified.

The formula for the volume of a rectangular object is

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

Using the given dimensions, we can calculate the volume of the brick:

V = (1 inch) x (2 [tex]\frac{1}{4}[/tex] inches) x (1 inch)

V = (1 inch) x (2.25 inches) x (1 inch)

V = 2.25 cubic inches

V = 2.25 inches³

Since the density of the clay is given as 0.07 pounds per cubic inch, we can find the weight of the brick using the formula:

Weight = Volume x Density

Weight = 2.25 inches³ x 0.07 pounds/inches³

Weight = 0.1575 pounds

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Answer:

the circumcenter of triangle RST is (-4, 3).

Step-by-step explanation:

To find the circumcenter of a triangle, we need to find the intersection of the perpendicular bisectors of its sides.

Let's first find the midpoints of the sides RS, ST, and RT.

Midpoint of RS:

x-coordinate = (-2 + (-6))/2 = -4

y-coordinate = (5 + 5)/2 = 5

Midpoint of RS is (-4, 5).

Midpoint of ST:

x-coordinate = (-6 + (-2))/2 = -4

y-coordinate = (5 + (-1))/2 = 2

Midpoint of ST is (-4, 2).

Midpoint of RT:

x-coordinate = (-2 + (-2))/2 = -2

y-coordinate = (5 + (-1))/2 = 2

Midpoint of RT is (-2, 2).

Now, let's find the equations of the perpendicular bisectors of RS and ST, and then find their point of intersection.

Perpendicular bisector of RS:

The slope of RS is (5 - 5)/(-6 - (-2)) = 0.

The midpoint of RS is (-4, 5).

So, the equation of the perpendicular bisector of RS is x = -4.

Perpendicular bisector of ST:

The slope of ST is (5 - (-1))/(-6 - (-2)) = -3/2.

The midpoint of ST is (-4, 2).

So, the equation of the perpendicular bisector of ST is y = (-3/2)(x + 4) + 2, which simplifies to y = (-3/2)x - 1.

Now, let's find the point of intersection of these two lines.

x = -4 for the perpendicular bisector of RS, so we substitute that into the equation of the perpendicular bisector of ST:

y = (-3/2)(-4) - 1 = 4 - 1 = 3.

Therefore, the circumcenter of triangle RST is (-4, 3).

According to the solution we have come to find that, The sum of the given vectors u and v is (1, 0).

In mathematics, a vector is a mathematical object that has both magnitude (or length) and direction. It is usually represented as a directed line segment, where the length of the segment corresponds to the magnitude of the vector, and the direction of the segment represents the direction of the vector.

A vector can be specified in terms of its components or coordinates, which are typically expressed as a sequence of numbers or symbols. For example, a two-dimensional vector can be written as (x, y), where x and y are the components of the vector along the x-axis and y-axis, respectively.

To find the sum of two vectors, we simply add their corresponding components.

So, for the given vectors u = (8, 1) and v = (-7, -1), their sum u + v can be computed as:

u + v = (8, 1) + (-7, -1) = (8 - 7, 1 - 1) = (1, 0)

Therefore, the sum of the given vectors u and v is (1, 0).

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The distance between town 1 and 2 is 83 miles

Word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

The distance between Town 1 and 3 is 110 miles and the distance between Town 2 and town 3 is 27miles.

Therefore the distance between town 1 and 2 is the difference between distance between town 1 and 3 and distance between town 2 and 3

This means that distance between town 1 and 2 = 110-27 = 83 miles.

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Answer: To find the amount of border needed to put wallpaper around a rectangular bedroom, the formula for the perimeter of a rectangle is needed. The formula for the perimeter of a rectangle is:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width of the rectangle.

Step-by-step explanation:

Answer:

Jake's father can carry 10 and 5/7 lb of wood.

Step-by-step explanation:

Jake carried 6 and 1/4 lb of wood.

Let's convert this to an improper fraction:

6 and 1/4 = (4 * 6 + 1)/4 = 25/4

So, Jake carried 25/4 lb of wood.

Jake's father can carry 1 and 5/7 times as much as Jake.

Let's convert this to a fraction:

1 and 5/7 = (7 * 1 + 5)/7 = 12/7

So, Jake's father can carry 12/7 times as much as Jake.

To find out how many pounds Jake's father can carry, we need to multiply Jake's weight by 12/7:

Jake's father can carry = (25/4) * (12/7)

= (25 * 12) / (4 * 7)

= 300/28

= 10 and 5/7 lb (when simplified to a mixed number)

The quadrilateral ANDC is not cyclic because the four vertices of a quadrilateral ANDC do not lie on the circumference of the circle

A cyclic quadrilateral is a four-sided polygon where all four vertices of the quadrilateral lie on a common circle.

The circle is called the circumcircle, and it passes through all four vertices of the quadrilateral.

From the figure, we can see that only two vertices of ANDC lie on the circle

The other two are in the circle

Hence, the quadrilateral ANDC is not cyclic

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The wholesaler's markup is the difference between the selling price and the cost price, which is $80.43 - $73 = $7.43.

The markup rate can be found by dividing the markup by the cost price and multiplying by 100 to get a percentage:

markup rate = (markup / cost price) x 100%

markup rate = ($7.43 / $73) x 100%

markup rate = 10.17%

Therefore, the wholesaler's markup rate is 10.17%, rounded to the nearest hundredth.

To find the value of f(2), we need to use the equation of the normal to the curve at the point (2,-1). We know that the normal to the curve is perpendicular to the tangent at that point.

From the given equation of the normal, we can determine the slope of the tangent line, which is -1/2.

Now we can use the point-slope form of a line to find the equation of the tangent line to the curve at (2,-1): y + 1 = (-1/2)(x - 2).

To solve for f(2), we need to find the y-coordinate of the point on the curve that lies on this tangent line. We can substitute x=2 into the equation of the tangent line to find the y-coordinate: y + 1 = (-1/2)(2 - 2) => y = -1.

Therefore, f(2) = -1.

The probability that exactly 7 out of 10 people chosen at random favor the new building project is approximately 0.2010 or 20.10%.

To calculate the probability that exactly 7 out of 10 people chosen at random favor the new building project, we need to use the binomial probability formula, which is:

P(X = k) = [tex](n choose k) * p^k * (1-p)^(n-k)[/tex]

where:

n = 10 (the number of trials)

k = 7 (the number of successes we want to find)

p = 0.6 (the probability of success)

Using this formula, we can calculate the probability as:

P(X = 7) = (10 choose 7) * [tex]0.6^7 * (1-0.6)^(10-7)[/tex]

P(X = 7) = (10!/7!3!) * [tex]0.6^7 * 0.4^3[/tex]

P(X = 7) = 120 * 0.0279936 * 0.064

P(X = 7) = 0.2010 (rounded to four decimal places)

Therefore, around 0.2010 or 20.10% of people like the new building project, which is the probability that exactly 7 out of 10 randomly selected individuals will do so.

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The premise is that both of my next-door neighbors and I have brick homes. So, all of the homes in our area are brick construction. A good illustration of inductive reasoning is this.

2. Given that the pattern appears to be multiplying by 3, then 6, then 9, then 12, and so on, the next multiplication fact is probably 37 x 15 = 555.

3.

(A) The number 101 comes next in the list.

(b) The following digit in the series is -10.

4. According to the formula n(n+1)/2, the first n positive integers are added together. Hence, 48(48+1)/2 = 1176 is the sum of the first 48 positive integers.

5.

(A) The formula n(3n-1)/2 yields the nth pentagonal number. Thus, 6(3x6-1)/2 = 91 is the sixth pentagonal number.

(b) The expression n(n+1)/2 yields the nth triangular number. Hence, 8(8+1)/2 = 36 is the eighth triangular number.

6. There are ten ways to use the four nickels, three dimes, and two quarters to make a 30-cent purchase from the vending machine.

7. The first week, Ronnie had $12 to his name.

8.a.The ones digit in the number 24000 is 6.

(b) 341's units digit is 3.

9. 19 rungs make up the ladder.

10. Catwoman owns 42 felines.

11. 58 nests would require 8 birdhouses, plus 2 additional nests.

12. A total of 60 pupils received an A or a B.

13.

(a) 550 cups are anticipated to be consumed in 2004.

(b) The year 2003 exhibits the biggest decline in cups.

14. Since 2001, the typical class size has risen.

15. During 2001 and 2002, as well as between 2004 and 2005, the average class size increased. From 2001 to 2003, the average class size grew by two pupils.

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Thus, an interval with such a 90% confidence level has a z-score of 1.645.

An interval estimate of the mean is what the confidence limits for mean are. Since the estimation of the mean differs from sample to sample, interval estimates are frequently preferred.

From the positive z score table:

As 0.90 falls perfectly between the 1.64 and 1.65 z-scores, I shall calculate the z-score as 1.645.

Thus, an interval with such a 90% confidence level has a z-score of 1.645.

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Complete question:

Assuming that the confidence coefficient is 90%, then Find the the z-value that would be used in the interval.

We can solve this system of equations by substitution. Since both equations are solved for y, we can set them equal to each other and solve for x.

y = -x - 32 ...(1)

y = 5x ...........(2)

Substituting (1) into (2), we get:

-x - 32 = 5x

Simplifying and solving for x, we have:

6x = -32

x = -32/6

x = -16/3

Now that we know x, we can substitute it back into either equation to solve for y. Let's use equation (2):

y = 5x

y = 5(-16/3)

y = -80/3

Therefore, the solution to the system of equations is (x, y) = (-16/3, -80/3).

The length of the shorter leg is 15cm, the length of the longer leg is 6x + 22 = 6(15) + 22 = 112cm, and the length of the hypotenuse is 6x + 23 = 6(15) + 23 = 113cm.

what is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Let's denote the length of the shorter leg by "x".

According to the problem statement, the length of the longer leg is 22cm more than six times the length of the shorter leg, so:

longer leg = 6x + 22

Also, the length of the hypotenuse is 23cm more than six times the length of the shorter leg, so:

hypotenuse = 6x + 23

Now, we know that this is a right triangle, so we can use the Pythagorean theorem to relate the side lengths:

shorter leg² + longer leg² = hypotenuse²

Substituting the expressions we found earlier, we get:

x² + (6x + 22)² = (6x + 23)²

Expanding the squared terms and simplifying, we obtain:

x² + 36x² + 264x + 484 = 36x² + 276x + 529

Subtracting 36x² + 276x + 529 from both sides, we get:

x² - 12x - 45 = 0

Now, we can solve for x by factoring the quadratic equation:

(x - 15)(x + 3) = 0

So, either x = 15 or x = -3. Since we're dealing with lengths, we discard the negative solution and take x = 15.

Therefore, the length of the shorter leg is 15cm, the length of the longer leg is 6x + 22 = 6(15) + 22 = 112cm, and the length of the hypotenuse is 6x + 23 = 6(15) + 23 = 113cm.

So the side lengths of the right triangle are 15cm, 112cm, and 113cm.

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the total number of doctors that were registered was about 154,744.

In a recent year, 27.4% of all registered doctors were female. If there were 42,400 female registered doctors that year,

Let's call the overall number of licensed physicians "x". We know that there were 42,400 female registered doctors in that year, making up 27.4% of all registered doctors.

To find x, we can construct the following equation:

0.274x = 42,400

x= 42,400 ÷0.274

x ≈ 154,744

Consequently, when rounded to the nearest whole number, the total number of doctors that were registered was about 154,744.

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