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VashaNatasha [74]
3 years ago
13

Which of the following is an irrational number? (With explanation)

Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

√200

Step-by-step explanation:

An irrational number is a number that can not be represented as a fraction

√81 = 9 = 9/1

√-16 = 4i

√-64 = 8i

√200 = ~14.14213

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A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on th
denis-greek [22]

Answer:

<u></u>

  • <u>2/5 = 0.4</u>

Explanation:

The table that shows the results and the question (taken from similar question) are:

<em>Number Showing       Frequency</em>

<em>on Top Face</em>

<em>      1                                     0</em>

<em>     2                                     3</em>

<em>     3                                     3</em>

<em>     4                                     6</em>

<em>     5                                     3</em>

<em>     6                                     5</em>

<em />

<em>Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?​ </em>

<h2 /><h2>Solution</h2><h2 />

The frequencies of each event recorded for a particular experience are named<em> experimental probabilities</em> and, in general, differ from the theoretical probabilities.

Experimental probabilities, for instance, when compared with the theoretical probabilities, may show a bias, like a loaded (unfair) die.

<em>The experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face </em>is equal to the number of times the die showed a 5 or a 6 on the top face (the frequencies) divided by the number of times the experiment was performed:

  • Frequency of 5 on top face: 3
  • Frequency of 6 on top face: 5

                                                     ====

                                                        8

  • Number of times the experiment was performed: 0 + 3 + 3 + 6 + 3 + 5 = 20

Probability = 8 / 20 = 2 / 5 = 0.4 ← answer

<h2 />

8 0
3 years ago
What is the down payment of the sale price
amm1812

Answer:

The down payment is the lower of sale price and appraised value less the loan amount. It is not the same as the borrower's cash outlay if some of that outlay is used for settlement costs. Financing settlement costs does not affect the down payment.

8 0
3 years ago
The sum of three consecutive even numbers is 66. What is the smallest of these numbers?
ahrayia [7]
Your answer would be 22 because it says <em>"sum"</em> which means <u>add.</u> Then it says "<em>of three consecutive <u>even</u> numbers</em>" which means you're going to be adding <u>three</u> of the <em>same <u>even</u> number </em>to get 66. 22 is an <u>even</u> number, so let's try it out: 22 + 22 + 22 = 66. (You can also divide 66 by 3.) 22 is the cOrrect answer.

Hope this helps,
♥<em>A.W.E.<u>S.W.A.N.</u></em>♥
8 0
3 years ago
5x=6+2x....? help please
kenny6666 [7]
2
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8 0
4 years ago
Read 2 more answers
A random variable X follows the uniform distribution with a lower limit of 670 and an upper limit of 750. a. Calculate the mean
weqwewe [10]

Answer:

a) E(X) = \frac{a+b}{2}=\frac{670+750}{2}= 710

The variance is given by:

Var(X) =\frac{(b-a)^2}{12}= \frac{(750-670)^2}{12}= 5333.3333

And the deviation is just the square root of the variance and we got:

Sd(X) = \sqrt{5333.333}= 23.09

b) P(X

And for this case we can use the cumulative distribution given by:

F(X) = \frac{x-a}{b-a} , a \leq x \leq b

And replacing we got:

P(X

Step-by-step explanation:

For this case we assume that X is our random variable and we know that the distribution for X is given by:

X \sim Unif(a=670, b = 750)

Part a

For this case the expected value is given by:

E(X) = \frac{a+b}{2}=\frac{670+750}{2}= 710

The variance is given by:

Var(X) =\frac{(b-a)^2}{12}= \frac{(750-670)^2}{12}= 5333.3333

And the deviation is just the square root of the variance and we got:

Sd(X) = \sqrt{5333.333}= 23.09

Part b

For this case we want to find this probability:

P(X

And for this case we can use the cumulative distribution given by:

F(X) = \frac{x-a}{b-a} , a \leq x \leq b

And replacing we got:

P(X

5 0
3 years ago
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