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3 years ago

71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. The variance of this data set is?

Mathematics

1 answer:

adoni [48]3 years ago

7 0

Answer:

636.41818

Step-by-step explanation:

^2=∑=1(−⎯⎯⎯)2−1

^2=−1

^2=6364.181811−1

^2=6364.181810

^2=636.41818

I hope this helps :)

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P(A)=7/20,P(B)=3/5,P(A∩B)=21/100 ,P(A∪B)=?

icang [17]

$P(A U B) = P(A) +P(B) - P(AB) \\ \\ = \frac{7}{20} +\frac{3}{5} - \frac{21}{100} \\ \\ = \frac{35}{100} +\frac{60}{100} - \frac{21}{100} \\ \\ =\frac{74}{100} \\ \\ =\frac{37}{50}$

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3 years ago

Find the exact solutions of x2 − 3x − 5 = 0 using the quadratic formula. Show all work! 75 points please help!!!!!

noname [10]

Answer:

$x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}$

Step-by-step explanation:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Given quadratic equation:

$x^2-3x-5=0$

Define the variables:

$\implies a=1, \quad b=-3, \quad c=-5$

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}$

$\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}$

$\implies x=\dfrac{3 \pm \sqrt{29}}{2}$

Therefore, the exact solutions to the given quadratic equation are:

$x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}$

Learn more about the quadratic formula here:

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8 0

2 years ago

Read 2 more answers

The area of the rectangle shown is 44 m². Work out the missing length X. xm 3 m

Akimi4 [234]

11.
so we do 40 / 3.667 (3 and 2/3, as far as i can tell) to get x.
so it's 10.9, or 11.

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1 year ago

4. At Lilly's Bakery, the ideal weight of a loaf of bread is 24 ounces. By law, the actual weight can vary from

Fantom [35]

It can be 25.5 to 22.5

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3 years ago

I don’t quite understand what to do or how to solve it. Can someone explain please ?

Bess [88]

Answer:

True.

Step-by-step explanation:

Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.

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3 years ago