3) what are the population proportions for the following? (round your answer to 4 decimal places) proportion of males: proportion of indiana residents:

Answer:

25 and 20

Step-by-step explanation:

p²=24²+7² ⇒ p²= 625 ⇒ p=25

q²=p²-15² ⇒ q²=625 - 225 ⇒ q²=400 ⇒ q= 20

Answer:

I want to say B.

Step-by-step explanation:

The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.

To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)

Plugging in these values into the formula, we get:

M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.

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\(\angle PYZ=116^{\circ}\) (angles on a line add to 180 degrees)

\(\angle ZYQ=58^{\circ}\) (angle bisector)

\(\angle XYQ=122^{\circ}\) (angle addition postulate)

\(\angle QYP=58^{\circ}\) (angle bisector)

Reflex \(\angle QYP=302^{\circ}\) (an angle and its reflex angle add to 360 degrees)

Answer:

42x+22

Step-by-step explanation:

Answer: 52.381

7(6+5)−13

7(6x+5)−13

7(6x+5)−13

Simplify

1

Distribute

7(6+5)−13

42+35−13

2

Subtract the numbers

42+35−13

42+22

Solution

42+22

52.381

Step-by-step explanation:

Answer:

a. 15 inches

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

a² = 9in

b² = 12in

9² + 12² = c²

9² = 81

12² = 144

81 + 144 = 225

c² = 225

simplify = √225

√225 = 15

Tariq's goal in the online video game is to catch balls and increase his energy level.

Tariq's objective in the online video game is to catch balls dropped from above before they hit the ground. Each time he catches a ball, he moves up an energy level, and each time a ball hits the ground, he moves down a level. Tariq's goal is to reach energy level 10, as this will earn him bonus points in the game.

To achieve this objective, Tariq needs to carefully time his movements and react quickly to catch the falling balls. As he successfully catches more balls, his energy level increases, bringing him closer to the target of level 10.

However, Tariq also needs to be cautious because if he misses a ball and it hits the ground, he will lose energy and move down a level. This adds an element of challenge and risk to the game, as Tariq must balance his speed and accuracy to maintain or increase his energy level.

Tariq's strategy should involve focusing on his timing and coordination skills, anticipating the trajectory of the falling balls, and positioning himself to catch them. By practicing and improving his hand-eye coordination, he can increase his chances of successfully catching more balls and progressing through the energy levels.

As Tariq reaches higher energy levels, the game may become more difficult, with faster and more unpredictable ball drops. This increases the challenge and excitement for Tariq as he strives to reach energy level 10 and earn the bonus points.

In summary, Tariq's goal in the online video game is to catch balls and increase his energy level. By carefully timing his movements, improving his coordination, and avoiding missed catches, he can progress towards reaching energy level 10 and earning the bonus points.

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Answer:

B) 0.07

D) 0.0042

Step-by-step explanation:

ANSWER

3 rotten apples

EXPLANATION

We know that Amber and Jacob have the same fraction of rotten apples in their bags.

Jacob's bag has 4 apples in total, of which 1 is rotten. Thus, the fraction of rotten apples he has is,

Amber has the same fraction in her bag, but she has a total of 4 apples. If n is the number of rotten apples in Amber's bag,

We have to find n so that n/12 equals 1/4.

Multiply both sides by 12,

So, Amber's bag has exactly 3 rotten apples

The condition imposed such that a₁X₁ + a₂X₂ +.....+ aₙXₙ is an unbiased estimator of μ must be that ∑a = 1

We are given that X₁, X₂, ... Xₙ constitute a random sample from the population with the mean μ.

This implies, E(X) = μ

Now we have another set of data here, a₁X₁ + a₂X₂ +.....+ aₙXₙ

For a₁X₁ + a₂X₂ +.....+ aₙXₙ to be an unbiased estimator of μ, we should have

E(∑aX) = μ

or, ∑a E(X) = μ

Now we already know that

E(X) = μ

Hence we get

∑a = 1

Hence condition imposed must be that ∑a = 1

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Correct Question

If X₁, X₂, ... Xₙ constitute a random sample from the population with the mean μ, what condition must be imposed on the constants a₁, a₂, ... aₙ so that a₁X₁ + a₂X₂ +.....+ aₙXₙ is an unbiased estimator of μ?

The divergence of the vector field v=(xi+yj+zk)/(x^2+y^2+z^2)^1/2 is zero. This means that the vector field is a divergence-free field.

To find the divergence of the given vector field v=(xi+yj+zk)/(x^2+y^2+z^2)^1/2, we can use the divergence operator (∇·). The divergence of a vector field measures the rate at which the vector field "spreads out" or "converges" at a given point.

Let's calculate the divergence of v:

∇·v = (∂/∂x)(xi+yj+zk)/(x^2+y^2+z^2)^1/2 + (∂/∂y)(xi+yj+zk)/(x^2+y^2+z^2)^1/2 + (∂/∂z)(xi+yj+zk)/(x^2+y^2+z^2)^1/2

Using the product rule for differentiation, we can simplify the above expression:

∇·v = [(∂/∂x)(xi+yj+zk) + (xi+yj+zk)(∂/∂x)((x^2+y^2+z^2)^(-1/2))]

+ [(∂/∂y)(xi+yj+zk) + (xi+yj+zk)(∂/∂y)((x^2+y^2+z^2)^(-1/2))]

+ [(∂/∂z)(xi+yj+zk) + (xi+yj+zk)(∂/∂z)((x^2+y^2+z^2)^(-1/2))]

Simplifying further, we have:

∇·v = [(x/x^2+y^2+z^2) + (xi+yj+zk)(-x(x^2+y^2+z^2)^(-3/2))]

+ [(y/x^2+y^2+z^2) + (xi+yj+zk)(-y(x^2+y^2+z^2)^(-3/2))]

+ [(z/x^2+y^2+z^2) + (xi+yj+zk)(-z(x^2+y^2+z^2)^(-3/2))]

Simplifying the expressions within the parentheses, we get:

∇·v = [(x/x^2+y^2+z^2) - (x(x^2+y^2+z^2))/(x^2+y^2+z^2)^2]

+ [(y/x^2+y^2+z^2) - (y(x^2+y^2+z^2))/(x^2+y^2+z^2)^2]

+ [(z/x^2+y^2+z^2) - (z(x^2+y^2+z^2))/(x^2+y^2+z^2)^2]

Simplifying further, we get:

∇·v = 0

Therefore, the divergence of the vector field v is zero. This implies that the vector field is a divergence-free field, which means it does not have any sources or sinks at any point in space.

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To compute a basis of the eigen space corresponding to eigen value -2, we need to find the null space of the matrix A + 2I, where A is the 3x3 matrix and I is the identity matrix.

The null space will give us the basis vectors of the eigen space

To find the eigen space corresponding to the eigen value -2, we start by constructing the matrix A + 2I, where A is the given 3x3 matrix and I is the 3x3 identity matrix. Next, we solve the homogeneous system of linear equations (A + 2I)x = 0, where x is a vector. The solutions to this system form the null space of the matrix A + 2I.

By finding a basis for this null space, we can obtain the basis vectors of the eigen space corresponding to the eigen value -2.

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Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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Answer:

If f=5 pounds of pressure, l=5.4 feet long

Step-by-step explanation:

Force needed to break a board varies inversely with the length of the board

Let

Force to break the board=f

Length of the board=l

f=k/l

Where k is a constant

If f=9 pounds of pressure and l=3 feet long

f=k/l

9=k/3

Cross product

9*3=k

27=k

If k=27, f=5 pounds of pressure. Find l?

f=k/l

5=27/l

Cross product

5l=27

l=27/5

=5.4

l=5.4 feet long

Using proportions, it is found that the board that requires 5 pounds of pressure to break is 1.67 inches long.

The rule of three is:

9 pounds - 3 feet

5 pounds - x feet

Applying cross multiplication:

\(9x = 3(5)\)

\(x = \frac{15}{9}\)

\(x = 1.67\)

The board that requires 5 pounds of pressure to break is 1.67 inches long.

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The addition of the set of one variable linear equation in the descending order are: -2y - 5.

An addition equation with a single variable has a single unknown quantity that needs to be determined. An equals sign in your equation indicates what is equal to just what.

The given set of one variable linear equation are:

-5y and 3y - 5

addition -

=  -5y + 3y - 5

The coefficients of same variable get added along with sign. The number with the greater value has the sign.

= (-5 + 3)y - 5

= -2y - 5

The addition of the set of one variable linear equation in the descending order are: -2y - 5.

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Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

The expression that gives the rectangle's area is \( 3 x^{2} \).

To find the area of a rectangle, we multiply its length by its width. The problem states that the length of the rectangle is three times as long as its width. So if the width is \( x \) feet, then the length would be \( 3x \) feet.

To find the area, we multiply the length (\( 3x \)) by the width (\( x \)):
\( \text{Area} = \text{length} \times \text{width} = 3x \times x = 3x^2 \).

Therefore, the expression \( 3x^2 \) gives the rectangle's area.

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The correct option regarding the final solution in the Second World War is given as follows:

Germany's plan to exterminate all the Jewish people in Europe.

The final solution in the Second World War was Germany's plan to exterminate all the Jewish people in Europe.

Initially, when Hitler took power in 1933, Jewish people lost their possessions and were sent to concentration camps in following years, initially to work as slaves. However, in 1941, the decision was made to exterminate Europe's Jewish Population, which was called the final solution.

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Answer:

try c.

Step-by-step explanation:

do x+5x= 6x

then

-3y+y =-2y

And when you eliminate y, you get 6x = 8+24

6x=32

Answer:

Inez worked for 2 hours 32 minutes more than Joe

Step-by-step explanation:

Here, we are to calculate the difference in the amount of time in which both of them spent working.

Mathematically, that would be the time spent by Inez minus the time spent by Joe

= 7 hrs 23 minutes - 4 hrs 51 minutes

This works like normal arithmetic subtraction;

Since we cannot subtract 51 minutes from 23 minutes, we need to borrow 1 hour ( 60 minutes) from 7 , and it becomes 6 while our minutes become (60 + 23 = 83 minutes).

So the difference here will be (6-4)hrs and (83-51) minutes = 2 hrs 32 minutes

Answer:

1847.26 cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = Ah

Where V is the volume of the cylinder, A is the area of the base, and h is the height of the cylinder. The area of the base can be shown as the formula for the area of a circle:

A = πr²

Where r is the radius of the circle.

Now, find the area of the base of the cylinder:

A = π(7)²

A = 153.93804

Next, plug this value into the equation for volume, substituting h for the height of the cylinder; 12 inches.

V = 153.93804(12)

V = 1847.26

Volume is given in cubic units, and the units for this cylinder are inches, so this cylinder has the following volume:

1847.26 cubic inches

A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

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Confidence level feature of the poll was ​ omitted

To find the what important feature of the poll was ​ omitted?.

The illustration showed that​ 26% of applicants said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company.

The margin of error was given as plus or minus 3 percentage points.

The important feature of the poll that was​ omitted was - confidence level.

The percent of all samples that are included in the true population parameter is given by a confidence level.

Confidence interval defines the probability that the given population parameter will fall within a specific range of values.

Mathematically we can express the scenario as :

Sample size is given as 1910​ professionals

Point estimate is 26%

Confidence level is not given.

Confidence interval is plus or minus 3 percent around 26%.

Hence, Confidence level feature of the poll was ​ omitted.

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Answer:

answer = 15.1 cm

Step-by-step explanation:

Answer:

a\(_{n}\) = 3500

Step-by-step explanation:

a\(_{n}\) = a + d (n - 1)

a = 200

d = 300

n = 12

a\(_{n}\) = 200 + 300 (12 - 1)

= 200 + 300 (11)

= 200 + 3300

a\(_{n}\) = 3500