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2 years ago

The vertices of a rectangle are located at (1, 2), (5,0), (2, -6), and (-2,-4). What is the area of the rectangle?

Mathematics

1 answer:

Marianna [84]2 years ago

6 0

Answer:

30 units square

Step-by-step explanation:

I would recomend using Desmos to plot the points to see the rectangle. When you plot it the rectangle seems to be rotated, so we will have to use pythagorean theorem to find the side lengths. Once you find the side lengths you multiple them and get about 30 square units.

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Major league baseball salaries averaged $1.5 million with a standard deviation of $0.8 million in 1994. suppose a sample of 100

seropon [69]

Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

Explanation:

Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:

$SE=\frac{0.8}{\sqrt{100}}=\frac{0.8}{10} = 0.08$

So, Standard Error is 0.08 million or $80,000.

Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.

$\frac{1 - 1.5}{0.08}$

$=-6.250$

-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.

Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

5 0

3 years ago

9 - 10x = 2x + 1 - 8x

Furkat [3]

Answer:

$x=2$

Step-by-step explanation:

$9 - 10x = 2x + 1 - 8x$

$9-10x=-6x+1$

Subtract 9 from both sides:

$9-10x-9=-6x+1-9$

$-10x=-6x-8$

Add 6x to both sides:

$-10x+6x=-6x-8+6x$

$-4x=-8$

Divide both sides by -4:

$\frac{-4x}{-4}=\frac{-8}{-4}$

$x=2$

8 0

3 years ago

Read 2 more answers

3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leav

Delicious77 [7]

Answer:

There are 6 equilateral triangles

you get an isosceles triangle

the height of the equilateral triangle is 4

this is all I have so far :)

3 0

3 years ago

Which values are solutions to the inequality below? . . Check all that apply.. . x2 > 49. .

Marianna [84]

$x^2 \ \textgreater \ 49 \\ \\ 
x_{1,2} = \pm \sqrt{49} = \pm 7 \\ \\ 
\boxed{x \in (-\infty, ~-7)\bigcup (7,~ +\infty) }$

6 0

3 years ago

Read 2 more answers

Ben had knee surgery and was given a prescription with instructions to take 4 tablets twice a day for pain on day 1, then take 3

azamat

Answer:40

Step-by-step explanation:4 tablets twice a day is 8 (4*2=8). 3 tablets twice a day (3*2=6) for days 2-6 which is 5 days (6*5=30) is 30. The 7th day is 1 tablet twice a day (1*2=2). You’re multiplying the tablets Ben has to take times 2. Add them all together and you have 40.

7 0

3 years ago