a geneticist is interested in the proportion of african males who have a certain minor blood disorder. in a random sample of 100 african males, 24 were found to be afflicted. (a) compute a 99% confidence interval for the proportion of african males who have this blood disorder. (b) what sample size (i.e., the number of african males) is needed if we wish to construct the 99% confidence interval of the proportion of african males with this blood disorder to be 0.20?

Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

To transform is to alter. So, changing any given geometric shape would be considered a geometric transformation.

What does one transformation mean?

A 180° rotation about the origin characterizes the sole transformation. Translation, rotation, reflection, and dilation are the four primary categories of transformation.

The term "Geometric" transformation refers to a group of picture transformations where the geometry of the image is modified without changing the actual pixel values. In general, various actions can be performed on it, but the actual pixel values will not change.

Students get the opportunity to consider fundamental mathematical concepts in novel ways thanks to geometric transformations (e.g., functions whose domain and range are R2). Students can view mathematics as a connected field by using geometric transformations as a framework.

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Answer:

C. $27

Step-by-step explanation:

9.95÷2=4.975

9.95+9.95+4.975=24.875 or 24.88

24.88×7%+24.88=26.62

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

The time for the trough to have 80 gallons of water is 5 minutes.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of minutes be represented as m.

The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. This will be:

25 + 11m =80

Collect like terms

11m = 80 - 25

11m = 55

Divide

m = 55 / 11

m = 5

Therefore, there will be 5 minutes.

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The greatest of the 4 consecutive integers with a sum of -278 is -68

Let n, n + 1, n + 2 and n + 3 be four consecutive integers.

The sum of four consecutive integers is -278.

⇒ n + (n + 1) + (n + 2) + (n + 3) = -278

⇒ n + n + n + n + 1 + 2 + 3 = -278

⇒ 4n + 6 = -278

⇒ 4n = -278 - 6

⇒ 4n = -284

⇒ n = -284/4

⇒ n = -71

So, the consecutive integers would would be:

n = -71

n + 1 = -70

n + 2 = -69

n + 3 = -68

here, the greatest of the 4 integers is -68

Therefore, the greatest of the 4 consecutive integers with a sum of -278 is -68

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Answer:

B. 16 degrees

Step-by-step explanation:

First, we find temperature at miday:

- 2 (Temperature at morning) + 10 (Increase in temperature by midday) = 8 degrees (Temperature at midday)

Now, for temperature at 5:00 pm:

8 x 2 (At 5 pm temperature is double since midday) = 16 degrees (Temperature at 5:00 pm)

Answer:

B 16 degrees

Step-by-step explanation:

Find the temperature

We start at -2

We increase 10 degrees by noon

-2 + 10 = 8

at 5pm the temperature doubles

8*2 = 16

Answer:

Step-by-step explanation:

Multiply 32 by 5 = 160

Multiply 28 by 5 =140

subtract 140 from 160

Answer Horse A would have traveled 20 feet farther the Horse B

Answer: 5 Hours

Step-by-step explanation:

14 miles x 5 hours = 70miles in 5 hours.

Hope this helps!

Answer:

5 units

Step-by-step explanation:

The left side of the two-column proof should be filled as follows:

Statements                                             Reasons_______________

k||i                                                              Given

m∠4 = m∠5                              Alternate Interior Angles Theorem

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent. Also, these angles are generally referred to as alternate interior angles.

Additionally, there are four (4) special angle relationships that are typically formed when two parallel lines are intersected by a transversal and these include the following:

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Step-by-step explanation:

In x you can put the value which can given in question.

Answer:

We had this question last week let me check my book real quick.

The ordered pairs are (0,-7).

Any equation's ordered pair can be calculated by substituting any integer or the rational number for one of the variables, then solving for the remaining variable.

Consequently, we obtain values for both variables that meet the stated equation.

Solution:

5x - y = 7

Lets take, x = 0

Then,

5(0) - y = 7

y = -7

Then,

The ordered pair is (0,-7).

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Answer:

The least common denominator for 1/2 and 1/4 is 4.

1/2 --> 2/4

Step-by-step explanation:

Hope this helps!

Pls brainliest, tysm!

Here, x coordinate is 2 and y coordinate is -3, so we have to first move two units on right thereafter we will move three units downward.(for better understanding please see the attached graph).

A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants.

An ordered pair is used to locate a point in a coordinate plane.

ordered pair(P) = (2,-3).

Hence, x coordinate is 2 and y coordinate is -3. we have to first move two units on right thereafter we will move three units downward.

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If Jenny studies one hour both for economics and history she can gain 10+15=25 points

Increasing: Growing larger or greater. Therefore, if the derivative of a function is positive, then the function is increasing. Let's consider our example of g(x) = x2. The derivative of g(x) = x2 is g'(x) = 2x. Since we are multiplying x by the positive number 2, it's easy to see that g ' is positive when x is positive and negative when x is negative.

Jenny will receive 15 points if she simply studies economics, which equates to 10 points in the first hour and 5 points in the second.

Jenny will earn 20 points if she exclusively studies history, which equates to 15 points in the first class and 5 points in the second.

Jenny should study economics for one hour, which will get her 10 points, and history for one hour, which will gain her 15 points, for a total of 25 points in the two hours

So we concluded that if Jenny studies one hour both for economics and history she can gain 10+15=25 points

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Answer:

24 and 11

Step-by-step explanation:

See attached worksheet.

Answer:

(0, 3)

Step-by-step explanation:

-x+2y=6
-x=6+2y
x=-6+2y

-6+2y+2y=6
-6+4y=6
4y=12
y=3

-x+2(3) = 6
-x+6=6
-x=0
x=0

Answer: 0, 3

The equation of the parallel line is y = x + 2.

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The point = C(4, 6)

And, equation of line is y = x + 7

Since, Slope of Parallel lines are always same.

So, The slope of the given line is calculated as;

y = x + 7

m = dy/dx = 1

Thus, Slope of parallel lines is 1.

Since, The equation of line is passes through point C (4, 6).

So, The equation of line with slope(m) 1 and point C(4, 6) is;

y - 6 = 1 (x - 4)

y - 6 = x - 4

y = x - 4 + 6

y = x + 2

Thus, The equation of the parallel line is y = x + 2.

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Answer:

is it not 10 minus 23 I think that would be the answer

Answer:

Step-by-step explanation:

1.9×10−221.99×10−231.99×10−231.9×10−22​1.91.99×10−2210−231.991.9​×10−2310−22​Divide numbers and 10's separately0.954774...×1010.954774...×101Subtract exponents9.54774...9.54774...Convert to standard notation9.59.5      

wander 9.5

Answer:

42 cm

Step-by-step explanation:

7+4+2+4+2+4+7+12

Answer:

D: The mean will increase, and the median will stay the same.

Step-by-step explanation:

Strategy

The mean and median are two ways to describe the center of a data set.

When a data set is almost symmetrical, the mean and median are close together.

When a data set is not symmetrical, the mean is usually closer to the outliers or tail than the median.

Let's reason conceptually about the measures of the center since we do not know the exact values.

Reasoning about the median

There are 7 scores. When the scores are in order from least to greatest, the median is the 4th score.

The day when Anya scored 300 points was the largest score both before and after that score was increased. So that is the 7th score when we order them from least to greatest.

Changing the 7th score does not change the 4th score, so the median stays the same.

Reasoning about the mean

Let's remember how to calculate the mean:

mean = total points/number of rounds

The largest score increasing from 300 to 600 points increases the total number of points. However, it does not change the number of rounds. So the mean increases.

Conclusion

D: The mean will increase, and the median will stay the same.

Distance between M(6,-7) and a line that contains the points C(-6,-2) and H(-1,10) is 7.846

First we will find the equation of the line containing the points C(-6,-2) and H(-1,10).

Take (x₁, y₁) = (-6,-2) and (x₂, y₂) = (-1,10).

Then the slope of the line, m = y₂-y₁/x₂-x₁

                                           = 10- -2/-1- -6

                                           = -12/7

So the equation of the line is

y-y₁ = m(x-x₁)

⇒ y- -2 = -12/7(x- -6)

⇒ y+2 = -12/7(x+6)

⇒7(y+2) = -12(x+6)

⇒ 7y +14 = -12x -72

⇒ 12x+7y +14+72 = 0

⇒ 12x+7y+86 = 0

This is in the form ax+ by+ c = 0

Also given the point (x, y) = (6, -7).

Distance between a point (x, y) and a line ax+ by+ c = 0 is,

[tex]\frac{|ax+by+c|}{\sqrt{a^2+b^2} }[/tex].

So Distance between M(6,-7)  and the line 12x+7y+86 = 0 is

[tex]\frac{|12.6+7.-7+86|}{\sqrt{12^2+7^2} }[/tex] = |72-49+86|/√(144+49)

                    = 109/√193

                    = 7.846

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Menus, speeches, theories, eras, ladies, mailboxes, patios, apostrophes are the plural forms of all the specified nouns as provided in the question.

The written format or the word format of any number provided is called as its word form.

In this question, we are asked to find out the word form of 290.1 and 7,035.486.

290.1 in word form can be written as Two Hundred and ninety point one.

7,035.486 in word form can be written as Seven thousand and thirty-five point four eight six.

Any word or noun that has to be described such that it is present more than one in number is represented by its plural form. Almost all of the noun words have their plural forms.

The plural forms of the asked nouns have been specified as above already.

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Answer:

48

Step-by-step explanation:

0.08 × 600 =48

for the percent you move the decimal forward twice.

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

x - 3 y + 0 z = -19 | (equation 3)

Add equation 1 to equation 3:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x - 3 y + z = 8 | (equation 3)

Add 3/4 × (equation 2) to equation 3:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x + 0 y + (13 z)/4 = 89/4 | (equation 3)

Multiply equation 3 by 4:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x + 0 y + 13 z = 89 | (equation 3)

Divide equation 3 by 13:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Subtract 3 × (equation 3) from equation 2:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 0 z = -20/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Divide equation 2 by 4:

{-x + 0 y + z = 27 | (equation 1)

0 x + y + 0 z = -5/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Subtract equation 3 from equation 1:

{-x + 0 y + 0 z = 262/13 | (equation 1)

0 x + y + 0 z = -5/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Multiply equation 1 by -1:

{x + 0 y + 0 z = -262/13 | (equation 1)

0 x + y + 0 z = -5/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Collect results:

Answer: {x = -262/13, y = -5/13, z = 89/13