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3 years ago

What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 7) , (1, 11) , (4, 7) , and (4, 1) ?

1 answer:

7 0

Each edge is given by the distance formula, which is the Pythagorean Theorem. When one of the coordinates is the same, we can shortcut that.

A(−2, 1) , B(−2, 7), C(1, 11), D(4, 7), E(4, 1)

$AB=7-1=6$

$BC=\sqrt{(1 - -2)^2 + (11-7)^2}=5$

$CD=\sqrt{(4 - 1 )^2 + (11-7)^2}=5$

$DE=7-1=6$

$EA= 4 - -2 = 6$

$\textrm{perimeter} = 6+5+5+6+6=28$

Answer: 28

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Given the formula y = -1/2x - 4, what is the slope and y-intercept of the graph? PLEASE HELP!

svet-max [94.6K]

Answer:

the slope is -1/2 and the y-intercept is -4

Step-by-step explanation:

The original formula is y=mx+b. m is the slope of the graph and b is the y-intercept. You just plug in the numbers to the original formula to get the formula for the graph. The slope is always the number that is right next to the x, or the number which is multiplied by the x. The y-intercept is always the number that is not by x.

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2 years ago

If there is a song that is 2 minutes and 58 seconds long and it plays 40 times how long does it play convert answer into seconds

lapo4ka [179]

Answer: I got 7120 seconds

Step-by-step explanation:

There's 178 seconds in the song (for more context, I just converted the 2 minutes into seconds and added it with 58) then I multiplied it by the total amount of times it played (in this case, 40)

Hope this helps

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2 years ago

Read 2 more answers

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$