What is the measure of 0 in radians?

The area of the parallelogram is 32 square units.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

First, we can plot the points on the coordinate plane to get a better visual understanding of the parallelogram:

    |       (3,6)        (11,6)

    |         *-----------*

    |        /           /

    |       /           /

    |      /           /

    |     /           /

    |    *-----------*

    |  (0,2)        (8,2)

    |

Now,

We can see that the base of the parallelogram is the line segment connecting (0,2) and (8,2), which has a length of 8 units.

To find the height of the parallelogram, we can observe that the line segment connecting (0,2) and (3,6) is perpendicular to the base, and has a length of 4 units.

Therefore,

The height of the parallelogram is 4 units.

Now,

The area of a parallelogram is given by the formula:

Area = base x height

Plugging in the values we found, we get:

Area = 8 x 4

Area = 32

Therefore,

The area of the parallelogram is 32 square units.

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Answer:

a system of equations , as below

Step-by-step explanation:

4y-x

2x-4

x+y

use any two of the above to find a formula for one of the variables since they are all equal to each other.. btw.. it makes it much easier .. that they are all equal.  :)

2x-4=x+y ⇒ x-4=y   use this to plug into the y in the top formula

4(x-4)-x=2x-4 ⇒ 4x-16-x=2x-4 ⇒ 3x-16=2x-4 ⇒ x=12  yay! ;) now plug in 12 for x

2(12)-4=(12)+y ⇒ 24-4 = 12 +y ⇒ 8=y   yay ! now we have both x and y

x=12

y= 8

this checks by plugging in the two number found for x & y  (btw I had to try this about 4 times ) :P  I kept messing up the algebra  which is soooo easy to mess up.  

Answer:

C

Step-by-step explanation:

3x+2-x>8

2x+2>8

2x>8-2

2x>6

x>3

Answer:

C

Step-by-step explanation:

Answer:

I believe the third one

Step-by-step explanation:

Thanks.

Step-by-step explanation:

k(a) = | -2a + 3 | - 1

k(3) = | -2(3) + 3 | - 1        replaced the a with 3

      = | -6 + 3 | - 1

      = | -3 | - 1

      =    3   - 1

      = 2

g(x) = 4²ˣ⁻¹ + 7

g(1) = 4²⁽¹⁾⁻¹ + 7                 replaced the x with 1

      = 4¹ + 7

      = 4 + 7

      = 11

f(x) = | 8x² - 5x + 3 |

f(-2) = | 8(-2)² - 5(-2) + 3 |        replaced the x with -2

      = | 8(4) - 10 + 3 |

      = | 12 - 10 + 3 |

      = | 5 |

      = 5

h(x) = -3x + 9

h(-1 + x) = -3(-1 + x) + 9          replaced the x with -1 + x

            = 3 - 3x + 9

            = 12 - 3x

f(n) = 5n - 1

f(-3n) = 5(-3n) - 1                 replaced the n with -3n

        = -15n - 1

Answer:

Sampling error

Step-by-step explanation:

The answer is sampling error.

The sampling error occurs when the sample does not represent the full population and the result from the sample is not a representation of the results from full sample.

From information given

Population mean = 87.85

Population standard deviation = 118.1

n = 25

Sample mean = 79.07

Sample standard deviation = 129.91

118.2/√25

= 23.62

The standard deviation of the distribution is what is referred to as standard error of m = 23.62

Final answer:

The difference between the population mean and sample mean is likely due to sampling variability, a concept related to the Central Limit Theorem. Given the small sample size in this case, it's not unusual to see this difference.

Explanation:

The difference between the mean of the population (μ) and the mean of the sample (M) is likely attributable to the phenomenon known as sampling variability. This is a concept central to the Central Limit Theorem, which states that when enough random samples are taken from a population, the distribution of the means of these samples will approximate a normal distribution, even if the original population distribution is not normal. The mean of this distribution will be equal to the populating mean, and its standard deviation will be the standard deviation of the population, divided by the square root of the sample size (n).

In this specific case, you've taken a relatively small sample (n=25) from a larger population (N=2,431). Consequently, it is not unexpected that there is some difference between the population mean (μ = 87.85) and the sample mean (M = 79.07). However, as you increase the number of samples you are drawing, according to the Central Limit Theorem, the average of these sample means should converge on the population mean.

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