Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the inverse of the given relation?

y=3x+12

A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.

To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.

Here's how the distribution of the various sub-populations can be maintained in the final sample:

1. Determine the proportion of each subgroup in the population:

  - Asian: 500 / 2000 = 0.25 (25%)

  - Hispanic: 1000 / 2000 = 0.5 (50%)

  - Native American: 500 / 2000 = 0.25 (25%)

2. Calculate the number of samples to be chosen from each subgroup:

  - Asian: 0.25 * 200 = 50 samples

  - Hispanic: 0.5 * 200 = 100 samples

  - Native American: 0.25 * 200 = 50 samples

3. Randomly select the specified number of samples from each subgroup.

By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.

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To graph the equation y = (1/2)x, we can plot points on a coordinate plane and connect them to create a straight line. Here's how to do it:

1. Choose some x-values to evaluate the equation. Let's select a range of x-values, such as -10, -5, 0, 5, and 10.

2. Substitute each x-value into the equation to find the corresponding y-values. For example:

  - For x = -10, y = (1/2)(-10) = -5

  - For x = -5, y = (1/2)(-5) = -2.5

  - For x = 0, y = (1/2)(0) = 0

  - For x = 5, y = (1/2)(5) = 2.5

  - For x = 10, y = (1/2)(10) = 5

3. Plot the points (x, y) on a graph. In this case, the points would be:

  (-10, -5), (-5, -2.5), (0, 0), (5, 2.5), (10, 5)

4. Connect the plotted points with a straight line. The line should pass through all the points.

The resulting graph is a straight line with a slope of 1/2, passing through the origin (0, 0), and extending infinitely in both directions.

Here is a rough sketch of the graph:

```

   |      

6  |         .

   |       .

5  |     .

   |   .

4  | .  

   |

3  |   .

   |

2  |     .

   |      

1  |       .

   |      

0  -----------------------

  -10 -5  0  5  10

```

Note: The above graph is a visual representation and may not be to scale. The line should pass through the plotted points accurately.

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Answer:

No.

Step-by-step explanation:

2.2 is the largest number among the others, because they all have the same number in the one's place, but the decimal is larger.

Answer:

8 x 12 x 20 = 1920/2 = 960 cm^2

hope this helped

answer= 960

Step-by-step explanation:

Answer:

Where I can't see the pattern made from sticks?

The average of the 150 measurements is 24.33, and Quantity B with a value of 25 is greater.

To compare the averages of the 150 measurements, let's calculate the total sum of all the measurements.

For the first set of 100 measurements with an average of 23, the total sum is 100 * 23 = 2300. For the second set of 50 measurements with an average of 27, the total sum is 50 * 27 = 1350.

To find the average of all 150 measurements, we need to find the total sum of all 150 measurements. Adding the two total sums calculated above, we have 2300 + 1350 = 3650.

To find the average, we divide the total sum by the total number of measurements: 3650 / 150 = 24.33.

Comparing the average of the 150 measurements to the individual averages A and B:

Quantity A: 24.33

Quantity B: 25

Since 25 is greater than 24.33, the answer is that Quantity B is greater.

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The probability density function for a uniform distribution is given by f(x) = 1/(b-a). The height of the uniform distribution is 1/11.

a) The random variable in the context of this problem is Orv X - the waiting time for a randomly selected commuter on the Red Line during peak rush hours, which follows a uniform distribution between 0 minutes and 11 minutes.
b) The height of the uniform distribution can be computed as follows:
The probability density function for a uniform distribution is given by:
f(x) = 1/(b-a)
where a and b are the lower and upper limits of the distribution, respectively.
In this case, a = 0 and b = 11, so:
f(x) = 1/(11-0) = 1/11
a) In the context of this problem, the random variable (X) represents the waiting time for a randomly selected commuter on the Red Line during peak rush hours.
b) To compute the height of the uniform distribution, you'll need to use the formula:
Height = 1 / (b - a)
where 'a' represents the minimum waiting time (0 minutes) and 'b' represents the maximum waiting time (11 minutes).
Height = 1 / (11 - 0)
Height = 1 / 11
So, the height of the uniform distribution is 1/11.

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Answer:

A radical expression in algebra is an expression that has a radical, or root. These are inverse operations to exponents.

Step-by-step explanation: That is

Answer:

4k+5a_3=10_2k

4k+2k+5a=10+3

6k+5a=13

Here are 12 metaphors identified in the poem:

These are the metaphors found in the poem, providing symbolic or figurative meanings to describe the actions, emotions, or relationships portrayed.

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Answer:2

Step-by-step explanation:1+1=2

Answer:

4.000

that's the answer I think

Step-by-step explanation:

Given

x² + 13x + 12

= x² + ( 12 + 1) x + 12

= x² + 12x + x + 12

= x ( x + 12 ) + 1 ( x + 12)

= (x + 12) (x + 1)

Hope it will help :)❤

Answer:

(

y

−

4

)

=

2

⋅

(

x

+

3

)

y

−

4

=

2

x

+

6

y

=

2

x

+

6

+

4

We get the equation of the line as :

y

=

2

x

+

10

The graph will look like this:

graph{y=2x+10 [-10, 10, -5, 5]

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

15^2 not = 6^2 + 11^2.

Answer:  640

Step-by-step explanation:

Answer: J

Step-by-step explanation: It is very cool you are in middle schopol

Answer:

$6

Step-by-step explanation:

To make the fruit punch, Alex needs to buy cranberry juice and lemon-lime soda. The recipe calls for 3.5 times as many bottles of lemon-lime soda as cranberry juice. If cranberry juice costs $2.80 per bottle and Alex has a budget of $16.80, he can buy a maximum of 6 bottles of cranberry juice. To find this, we first need to calculate how much Alex can spend on each type of beverage, which is $8.40. If Alex buys only lemon-lime soda, he could buy 3.5 x 6 = 21 bottles at $0.40 each. This equals $8.40, leaving no more money for cranberry juice. Therefore, he can only buy 6 bottles of cranberry juice.

The expected number of trials to get a first success in an event with probability of success p and probability of failure q is 1/p.

The expected number of trials to get a first success in an event with probability of success p and probability of failure q can be calculated using the formula:

Expected number of trials = 1/p

Therefore, the expected number of trials to get a first success in this event is 1/p.

For example, if the probability of success is 0.2 (or 20%), then the expected number of trials to get a first success is 1/0.2 = 5 trials.

It is important to note that this formula assumes that each trial is independent of the previous trials, meaning that the probability of success or failure does not change from one trial to the next.

In summary, the expected number of trials to get a first success in an event with probability of success p and probability of failure q is 1/p.

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Answer:

f(7) = 41

Step-by-step explanation:

6(7)-1

42-1

= 41

Answer:

Step-by-step explanation:

An equation in mathematics known as a differential equation connects a function to its derivatives. It involves the derivatives of one or more unknown functions with regard to one or more independent variables.

We can use the method of precise equations to resolve the differential equation (3x2 + y)dx + (x2y - x)dy = 0 that is presented.

In order to determine whether the equation is precise, we must first determine whether (M)/(y) = (N)/(x), where M = 3x2 + y and N = x2y - x.

We have the following partial derivatives: 

(M)/(y) = 1 and 

(N)/(x) = 2xy - 1

The equation is not accurate because (M)/(y) does not equal (N)/(x).

We must identify an integrating factor in order to make the equation exact. We can calculate it by multiplying 

(M)/(y) by (N)-(N)/(x).

Integrating factor is equal to [(M/y)]. N-(N)/(x) 

= 1 / (2xy - 2xy + 1).

=1

Multiplying the entire equation by the integrating factor, we get:

(3x² + y)dx + (x²y - x)dy = 0

Since the integrating factor is 1, the equation remains unchanged.

Next, we integrate both sides of the equation with respect to x and y, treating the other variable as a constant.

Integrating the first term with respect to x, we get:

∫(3x² + y)dx = x³ + xy + C1(y)

Integrating the second term with respect to y, we get:

∫(x²y - x)dy = x²y²/2 - xy + C2(x)

Combining the two integrated terms, we have:

x³ + xy + C1(y) + x²y²/2 - xy + C2(x) = C

Simplifying, we can write the solution as:

x³ + x²y²/2 + C1(y) + C2(x) = C

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Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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Based on the definition of the diagonal of a rectangle, the length of DE is: D. 15.

Thus:

AC = 30 units.

AC = DB

DB = 30 units

Therefore:

DE = 1/2(DB)

DE = 1/2(30)

DE = 15 units

Therefore, based on the definition of the diagonal of a rectangle, the length of DE is: D. 15.

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The correct option regarding opposite rational numbers is given as follows:

Point D and Point E are opposite rational numbers because they are the same distance away from zero.

Rational numbers are all the numbers that can be represented by fractions. The opposite of a rational number is the number with the exchanged signal, for example, -2 is the opposite of 2 and vice-versa.

For this problem, we have that:

Same absolute value(distance from 0), different signals, hence the correct option is given by:

Point D and Point E are opposite rational numbers because they are the same distance away from zero.

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Answer:

Dear user,

Answer to your query is provided below

The fraction of the circuit is (3/14)

Step-by-step explanation:

Explanation of the same is attached in image

Answer:

3/14

Step-by-step explanation:

Answer: 192

Step-by-step explanation:

(22.14-19.58)x75

Answer:

use math-way

Step-by-step explanation:

Answer:

Step-by-step explanation:

When two lines intersect, the non adjacent angles formed are called vertical angles and they are congruent.

∠FZG = ∠HZJ   {Vertical angles are congruent.

∠FZG = 38°

Answer:

b or the second option

Step-by-step explanation:

it is congruent because two sides are the same.

hope this helps! have a good day and stay safe!

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