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3 years ago

Which of the following is an irrational number ??

Mathematics

2 answers:

Hunter-Best [27]3 years ago

7 0

Hello!

An irrational number cannot be written as a fraction. Let's look at our options.

In D, the exponent and square root cancel each other out. This leaves us with ten, which is a rational and whole number.

For B, and repeating decimal can be written as a fraction using a specific formula. Therefore B is also rational.

For A, the square root of 196 is 14, which is a whole number and is therefore rational.

For C, the square root of 8 is 2.8284....... and continues on in no specified order. Therefore it cannot be converted into a fraction. Therefore, C)√8 is irrational.

I hope this helps!

Anna71 [15]3 years ago

5 0

The answer is the 2nd choice

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A pair of shoes costs $25 to make. This means that you need to charge a price of at least ___ just to cover your cost.

enyata [817]

I believe the answer is $50.

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4 years ago

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Typing errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but inc

nordsb [41]

Answer:

a) X is binomial with n = 10 and p = 0.3

Y is binomial with n = 10 and p = 0.7

b) The mean number of errors caught is 7.

The mean number of errors missed is 3.

c) The standard deviation of the number of errors caught is 1.4491.

The standard deviation of the number of errors missed is 1.4491.

Step-by-step explanation:

For each typing error, there are only two possible outcomes. Either it is caught, or it is not. The probability of a typing error being caught is independent of other errors. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

10 word errors.

This means that $n = 10$

(a) If X is the number of word errors missed, what is the distribution of X ?

Human proofreaders catch 70 % of word errors. This means that they miss 30% of errors.

So for X, p = 0.3.

The answer is:

X is binomial with n = 10 and p = 0.3.

If Y is the number of word errors caught, what is the distribution of Y ?

Human proofreaders catch 70 % of word errors.

So for Y, p = 0.7.

The answer is:

Y is binomial with n = 10 and p = 0.7

(b) What is the mean number of errors caught?

$E(Y) = np = 10*0.7 = 7$

The mean number of errors caught is 7.

What is the mean number of errors missed?

$E(X) = np = 10*0.3 = 3$

The mean number of errors missed is 3.

(c) What is the standard deviation of the number of errors caught?

$\sqrt{V(Y)} = \sqrt{np(1-p)} = \sqrt{10*0.7*0.3} = 1.4491$

The standard deviation of the number of errors caught is 1.4491.

What is the standard deviation of the number of errors missed?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.3*0.7} = 1.4491$

The standard deviation of the number of errors missed is 1.4491.

6 0

3 years ago

If x > 0 and y > 0, where is the point (x, y) located?

Scrat [10]

Given, x > 0, y > 0.
So, the values of x and y are less than 0, that means, they are negative integers.
If we divide a Cartesian plane with the x-axis and y-axis, we get four quadrants.
1st Quadrant : (+,+)
2nd Quadrant : (-,+)
3rd Quadrant : (-,-)
4th Quadrant : (+,-)
Since the values of x and y are both negative, so (x, y) is located in the 3rd Quadrant.

Hope you could get an idea from here.

Doubt clarification - use comment section

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2 years ago

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&padded&sorted&\stackrel{unpadded}{sorted}\\
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\end{array}$

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3 years ago

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A coat that originally sold for $369.00 is on sale at a 40% discount? How much will you pay for the coat?

zaharov [31]

We calculate 40% from 369,00 $, this is discount

40%*369= $\frac{40}{100}*369= 147,60$

After sale coat costs 147,60 less so:

369 -147,60=221,40 $

Now I will pay for the coat 221,40$.

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3 years ago