Racionaliza las siguientes expresiones: a) 1-√3/5√2 b) 3-√3/3+√3

1 answer:

7 0

$a) \frac{1- \sqrt{3} }{5 \sqrt{2} } = \frac{\sqrt{2}- \sqrt{6} }{10} \\\\
b) \frac{3- \sqrt{3} }{3+\sqrt{3}} = \frac{3\sqrt{3}-3}{6} = \frac{3(\sqrt{3}-1)}{6} =\frac{\sqrt{3}-1}{2}.$

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In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large

Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

The question is incomplete:

The probability distribution is:

x P(x)

0 0.30

1 0.40

2 0.20

3 0.06

4 0.04

The mean can be calculated as:

$M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14$

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

$s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04$

3 0

2 years ago

. An urn contains 6 blue and 5 red marbles. Reach in and grab one marble and then another (without replacing the first one). Wha

natima [27]

Probability that you have chosen 2 red marbles is 3/11

<h2>How to solve?</h2>

Total number of marbles = 6 + 5 = 11

Number of red marbles = 6

Number of blue marbles = 5

Important Points:

1. Replacement is not allowed

2. Blue is followed by Red

Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Probability of Blue first = 5/11

Probability of Red second = 6/10 (one marble is already taken out)

Probability = 5/11 * 6/10 = 3/11

Learn more about Probability:

brainly.com/question/4313883

#SPJ4

8 0

1 year ago

3x+ 2y= 4 solving for x

Jet001 [13]

First step: Isolate the term that has x. To do that, subtract 2y from both sides.

$3x + 2y = 4$