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Setler79 [48]
3 years ago
7

An irrational number is a real number and an integer. True False

Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0

Answer:

A real number is a number that is somewhere on a number line, so any number on a number line that isn't a rational number is irrational. The square root of 2 is an irrational number because it can't be written as a ratio of two integers

hope it helps!!

Step-by-step explanation:

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Simplify 3 divided by 5-6i
Shtirlitz [24]

Answer:

\frac{15}{61}+\frac{18}{61}i

Step-by-step explanation:

\frac{3}{5-6i}

To simplify or to write in the form a+bi, you will need multiply the top and bottom by the bottom's conjugate like so:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}

Keep in mind when multiplying conjugates you only have to multiply first and last.

That is the product of (a+b) and (a-b) is (a+b)(a-b)=a^2-b^2.

(a+b) and (a-b) are conjugates

Let's multiply now:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}=\frac{3(5+6i)}{25-36i^2}

i^2=-1

\frac{15+18i}{25-36(-1)}

\frac{15+18i}{25+36}

\frac{15+18i}{61}

\frac{15}{61}+\frac{18}{61}i

5 0
3 years ago
Read 2 more answers
The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12. The pro
borishaifa [10]

Answer:

0.0668

Step-by-step explanation:

Assuming the distribution is normally distributed with a mean of $75,

with a standard deviation of $12.

We can find the z-score of 78 using;

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }

\implies z=\frac{78-75}{\frac{12}{36} } =1.5

Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

This is the area corresponding to the probability that, the average is less or equal to 78.

Subtract from 1 to get the complement.

P(x>78)=1-0.9332=0.0668

6 0
3 years ago
What is the overlap of Data Set 1 and Data Set 2?
Salsk061 [2.6K]

Answer:

low or moderate maybe I think

5 0
3 years ago
Read 2 more answers
If a normal distribution has a mean of 154 and a standard deviation of 15,
yuradex [85]

Answer:

The correct answer is - 178.

Step-by-step explanation:

The standard deviation is a measure of the amount of dispersion in a set of values.

Given:

Mean of a normal distribution (m) = 154

Standard deviation (s) = 15

z-score = 1.6

Solution:

To find: value (x) that has a z-score of 1.6

z-score is given by = x-u/15

1.6*15 = x-154

=> 154+24 = x

x = 178

6 0
3 years ago
What is 1/5 the speed of a cat
olga55 [171]
I dont get it. Sorry
5 0
3 years ago
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