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3 years ago

Inequalities

1 answer:

4 0

for all of these, you just have to divide by -1 to make the variable positive however you have flip the inequality sign when you divide by a negative number.

c > 1

-2 > v

y > 1

z > 6

1 > w

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The floor at a roller skating rink is 72.25 feet long and 51.5 feet wide. How much longer is the rink than it is wide?

Phoenix [80]

72.25 - 51.5= <span>20.75
it is 20.75 feet longer</span>

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3 years ago

100 PTS TO WHOEVER ANSWERS (I already know the answer but I'm just being nice :D )Three museums charge an entrance fee based on

DerKrebs [107]

Answer:

Entrance fee should be proportional to the number of visitors -- this means that if we divide entrance fee by number of visitors for each of them, we would have the same number.

Step-by-step explanation:

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3 years ago

Find the standard deviation of 21, 31, 26, 24, 28, 26

Vesnalui [34]

Given the dataset

$x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}$

We start by computing the average:

$\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26$

We compute the difference bewteen each element and the average:

$x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}$

We square those differences:

$(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}$

And take the average of those squared differences: we sum them

$\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69$

And we divide by the number of elements:

$\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5$

Finally, we take the square root of this quantity and we have the standard deviation:

$\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39$

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3 years ago

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

kap26 [50]

The term "supplementary" means that the two angles add up to 180°, which means we can write an equation:
17x + x = 180
18x = 180
÷ 18
x = 10
And now you can multiply 10 by 17, because it is 17 times the angle, to get 170° and 10° as your answer.

I hope this helps!

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3 years ago

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Cerrena [4.2K]

Answer:

Step-by-step explanation:

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3 years ago