Lesson 8.1.14 Cool Down *If I have two parallel lines cut by a transversal, I can identify alternate interior angels and use that to find missing angle measurements. The diagram shows two parallel lines cut by a transversal. One angle measure is shown. Find the values of a, b, c, d , e, f, and g .

Block | A | B | C
1     | 1 | 1 | 11     | 1 | 1 | -11     | -1 | -1 | 11     | -1 | -1 | -1 2     | -1 | 1 | -1 2     | -1 | 1 | 1 2     | 1 | -1 | -1 2     | 1 | -1 | 1

(a) To generate the 23 design in two blocks of four runs with ac as the independent effect chosen to be confounded with blocks, we can use the following steps:
1. Assign four runs to block 1 and four runs to block 2.
2. Choose two levels for factor A and assign them to runs 1 to 4 and 5 to 8, respectively.
3. Choose three levels for factor B and assign them to runs 1, 2, and 5; runs 3, 4, and 8; and runs 6, 7, and 8.
4. Choose two levels for factor C and assign them to runs 1, 3, 6, and 8.

The resulting design matrix would be:

Block | A | B | C
1     | 1 | 1 | 1
1     | 1 | 1 | -1
1     | -1 | -1 | 1
1     | -1 | -1 | -1
2     | -1 | 1 | -1
2     | -1 | 1 | 1
2     | 1 | -1 | -1
2     | 1 | -1 | 1

(b) The 23 design in two blocks of four runs with an independent effect chosen to be confounded with blocks is a type of fractional factorial design, which is used when it is not feasible or practical to run a full factorial design. Fraction factorial designs are more efficient than full factorial designs in terms of the number of runs needed to estimate the main effects and some interaction effects. However, they sacrifice the ability to estimate all possible interactions between the factors.

This type of design is particularly useful when there are a large number of factors to be considered and the resources are limited. By confounding some of the effects, we can reduce the number of runs needed to achieve a certain level of precision in estimating the effects. In addition, by choosing the independent effect to be confounded with the blocks, we can control for any potential variability due to differences between the blocks.

Overall, the 23 design in two blocks of four runs with an independent effect chosen to be confounded with blocks is a useful experimental design method for situations where resources are limited and a large number of factors need to be considered.

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Answer:

4p^2-8p-5

Step-by-step explanation:

Answer:

4p^2-8p-5

Step-by-step explanation:

Hope this helps :)

The relation you have described is neither reflexive, nor irreflexive, nor total, nor transitive.

A relation cannot be both reflexive and irreflexive. Hence, these two properties are mutually exclusive. If it is reflexive, then it is not irreflexive. If it is irreflexive, then it cannot be reflexive. Nonetheless, it is possible for a relation to be neither reflexive nor irreflexive.

A reflexive relation is one in which every element is related to itself. A relation is irreflexive if no element is related to itself. A total relation is one in which every element is related to every other element. A transitive relation is one in which, if element A is related to element B and element B is related to element C, then element A is related to element C.

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The correct formula to calculate monthly mortgage payment on a loan is \(M= P\frac{ [R(1+R)^n]}{[(1+R)^n-1]}\)

Where, M is the total monthly payment

P is the total amount of loan

R is the interest rate

N is the total time

The primary advantage of a mortgage loan is that, unlike most other loans, you can get one without giving up ownership of your house to anybody else and at extremely low interest rates. The monthly mortgage repayment is symbolized by the mortgage payment. The standard four components of a mortgage payment are principal, interest, taxes, and insurance. The principal, term, and interest rate of the mortgage loan, as well as other factors, influence the monthly mortgage payment. The monthly mortgage payment can be calculated using the aforementioned formula or a financial calculator online.

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Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 12 on the left side and the dividend 6 on the right side like this:

 12 ⟌ 6    

Step 2:

The divisor (12) goes into the first digit of the dividend (6), 0 time(s). Therefore, put 0 on top:

      0    

 12 ⟌ 6    

Step 3:

Multiply the divisor by the result in the previous step (12 x 0 = 0) and write that answer below the dividend.

       0    

 1 2 ⟌ 6    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (6 - 0 = 6) and write the answer below.

      0    

 12 ⟌ 6    

  - 0    

   6    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 6 divided by 12 calculated using Long Division is:

0

6 Remainder

Answer:

$119.79

Step-by-step explanation:

im like 95% sure this is right

Answer:

In three years Bernie total saving account would be $119.79

Step-by-step explanation:

The answer varies each year. In one year 10% of $90 is $9. Bernie total saving account would be $99 in the first year. In two years it would be $108.90( 10% of $99 = $9.9, $9.9 + $99 = $108.90). In three years Bernie total saving account would be $119.79( 10% of 108.90 = 10.89, $10.89 + $108.9 = $119.79) and so on.

Answer:

whats the rest of the question

Step-by-step explanation:

Answer:

420 miles together

Step-by-step explanation:

Just Add 210+210=420

The probability that a randomly chosen part is defective is 0.16, or 16%.

The probability that a randomly chosen part is defective, we need to use the law of total probability.

Let \($D$\) be the event that a part is defective and let \($M_i$\) be the event that the part came from machine \($i$\), for \($i = A, B, C$\).

Then we have:

\($P(D) = P(D|M_A)P(M_A) + P(D|M_B)P(M_B) + P(D|M_C)P(M_C)$\)

60% of the products come from machine A, 30% from machine B, and 10% from machine C.

Therefore:

\($P(M_A) = 0.6$\)

\($P(M_B) = 0.3$\)

\($P(M_C) = 0.1$\)

The probability of a part being defective is 10% if it comes from machine A, 30% if it comes from machine B, and 40% if it comes from machine C.

Therefore:

\($P(D|M_A) = 0.1$\)

\($P(D|M_B) = 0.3$\)

\($P(D|M_C) = 0.4$\)

Substituting these values into the law of total probability, we get:

\($P(D) = 0.1 \cdot 0.6 + 0.3 \cdot 0.3 + 0.4 \cdot 0.1 = 0.16$\)

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Answer:

The second graph

Step-by-step explanation:

hope it help

A specific car accelerates consistently from zero to 22.4 m/s in 2.10 seconds during a test session. The car's uniform acceleration is 8.1356 meter/\(sec^{2}\).

The rate at which an object's velocity with respect to time changes is known as acceleration in mechanics. Accelerations are vector quantities (in that they have magnitude and direction). The direction of the net force acting on an object determines its acceleration.

For instance, a car accelerates in the direction of motion when it begins at rest (zero velocity in an inertial frame of reference) and moves at increasing speeds in a straight path. When a vehicle turns, its motion vector is altered and accelerates in the new direction. A linear acceleration is the acceleration of the car in the direction it is moving, and it is this acceleration that the occupants of the car feel.

Calculations:

Acceleration=(\(\frac{change in speed}{change in time}\))= (24 m/s) / (2.95 s) = 8.1356 meter/\(sec^{2}\)

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In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

----------------------------------------------------------------

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

Answer: y = -2x+9

Step-by-step explanation:

Answer:

Solve for x

y= x/2 + 2

x= -x +5

Step-by-step explanation:

Answer:

4,234 dekaliters converted to milliliters is 42340000.

Step-by-step explanation:

Answer: Your answer is going to be 42340000 millimeters.

Step-by-step explanation:

Find out how much one dekaliter is worth; multiply by that amount.

Step-by-step explanation:

2 + 3 = 5

the sign of the sum is "-", because the temperature dropped (in both cases).

the total change in temperature is -5°.

the sum of 2 positive integers ... is always positive.

both numbers have a positive sign. the sum means "+", so we are adding 2 positive numbers.

nowhere in the operation are we going in the negative direction or bring a negative sign in.

so, where would a "-" sign come from ?

if I have something on the plus side, and I put something positive on top of it, the resulting pile will still be positive.

Answer:

Step-by-step explanation:

P(white) is 3/5. So how we find it is first you find how much in total are in the bag. You add up 7 + 3 + 15 and get 25. That means there are 25 total outcomes. Since there are 15 white marbles, that means you have a 15/25 chance of picking a white marble. Simplify 15/25 and you get 3/5/

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The given equations are :

From the first equation, we get :

now, let's put the value of y as (5 - 2x) in second equation to find the value of x :

hence, value of x = 4, Plugging the value of x in second equation :

so, the required values are :

If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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Answer: Don't trust me on this.

Step-by-step explanation:

I want to say it will be equally unlikely and equally likley, because it's 0.5, which is half.  (Tell me if im right.)

Answer:

7

Step-by-step explanation:

Look at the order it is in carefully

Answer:

4/3

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (-3 - 1)/(-2 - 1)

slope = -4/(-3)

slope = 4/3

Answer:

The principal he borrowed is $1500

Step-by-step explanation:

Let's assume principal he borrowed as P

now, we can use formula

where

SI is simple interest

r is interest rate

t is time in years

we are given

r=4%

SI=240

t=4

now, we can plug this value

now, we can solve for P

So,

The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!

To find the volume of the smaller figure, we need to use the fact that the two figures are similar. This means that they have the same shape, but are different sizes.

Specifically, if the scale factor between the two figures is k, then the ratio of their volumes is k^3. We are given the surface areas of the two figures: 212 in^2 for the smaller figure, and 1325 in^2 for the larger figure. Since the figures are similar, the ratio of their surface areas is the square of the scale factor. That is,

(Scale factor)^2 = (Surface area of larger figure) / (Surface area of smaller figure) = 1325/212

Solving for the scale factor, we get:

(Scale factor)^2 = 6.245

Scale factor = sqrt(6.245) = 2.5

This means that the larger figure is 2.5 times bigger in each dimension than the smaller figure. Therefore, the ratio of their volumes is (2.5)^3 = 15.625. We are given the volume of the larger figure, which is 3375 in^3. To find the volume of the smaller figure, we need to divide this by the ratio of the volumes:

Volume of smaller figure = (Volume of larger figure) / (Ratio of volumes) = 3375 / 15.625 = 216 in^3

Therefore, the volume of the smaller figure is 216 in^3.

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The profit per pig is $4 and the profit per goose is $8.

Let's start by defining the variables:

a = number of pigs Farmer Jones raises

y = number of geese Farmer Jones raises

The problem tells us that he wants to raise at most 16 animals, so we can write:

a + y ≤ 16

It also tells us that he wants no more than 12 geese, so we can write:

y ≤ 12

We know that it costs $5 to raise a pig and $2 to raise a goose, and he has $550 available to spend. So the cost of raising the animals can be expressed as:

5a + 2y ≤ 550

Finally, we want to maximize his profits. The profit per pig is $4 and the profit per goose is $8. So the objective function for Farmer Jones' profits is:

Profit = 4a + 8y

To summarize, the linear programming model for this problem is:

Maximize: Profit = 4a + 8y

Subject to:

a + y ≤ 16

y ≤ 12

5a + 2y ≤ 550

where a and y are non-negative integers.

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In an experiment, participants are usually assigned to treatments using random assignment. The reason for using random assignment is to minimize the potential for pre-existing differences between groups of participants. The purpose of an experiment is to establish whether the independent variable causes a change in the dependent variable.

Random assignment ensures that participants are randomly assigned to groups and that pre-existing differences between groups are minimized. As a result, any differences observed between groups are more likely to be caused by the independent variable rather than pre-existing differences between groups.

Random assignment ensures that any differences between groups are the result of differences in the treatments administered, rather than pre-existing differences between groups. As a result, any observed differences between groups are more likely to be caused by the independent variable rather than other confounding variables that could affect the dependent variable.

Random assignment also increases the validity of the study's results and reduces the potential for bias in the results. In conclusion, random assignment is used in experiments to minimize pre-existing differences between groups of participants and to ensure that any differences observed between groups are the result of differences in the treatments administered.

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To compute the average velocity over each time interval, we use the formula: average velocity = (h(t2) - h(t1))/(t2 - t1), where h(t) is the height function.

Using the given height function, h(t) = 34t - 4.9t^2, we calculate the average velocities:
1. [3, 3.01]:
Average Velocity = (h(3.01) - h(3))/(3.01 - 3) ≈ -17.147 m/s
2. [3, 3.001]:
Average Velocity = (h(3.001) - h(3))/(3.001 - 3) ≈ -17.194 m/s
3. [3, 3.0001]:
Average Velocity = (h(3.0001) - h(3))/(3.0001 - 3) ≈ -17.199 m/s
4. [2.99, 3]:
Average Velocity = (h(3) - h(2.99))/(3 - 2.99) ≈ -17.243 m/s
5. [2.999, 3]:
Average Velocity = (h(3) - h(2.999))/(3 - 2.999) ≈ -17.205 m/s
6. [2.9999, 3]:
Average Velocity = (h(3) - h(2.9999))/(3 - 2.9999) ≈ -17.200 m/s
To estimate the instantaneous velocity at t=3, observe the average velocities as the time intervals approach t=3:
As the intervals get closer to t=3, the average velocities appear to approach -17.2 m/s. Thus, the estimated instantaneous velocity at t=3 is:
V ≈ -17.2 m/s

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Answer:

A decimal in the wrong place can change the value of a number COMPLETELY!

Step-by-step explanation:

for example

0.4 can be converted to 40 cents or 2/5, but if you change the decimal 0.04 converts to 4% or 1/25.

hope this helps!

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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Answer:

16

Step-by-step explanation:

3×6=18

12÷6=2

18-2=16