All categories

3 years ago

Which is an irrational number?

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

7 0

Answer:

√21

Step-by-step explanation:

Irrational number:-

An irrational number is a type of real number which cannot be represented as a simple fraction . it cannot be expressed in the form of a ratio.

Example:-

√2,√3, ,......

Given option

√21 is a irrational number

You might be interested in

I WILL GIVE BRAINLIEST!!!!!!

katovenus [111]

Answer:

I think Quadrant 1. I;m not trying to just answer for the points

Step-by-step explanation:

5 0

3 years ago

For the following right triangle, find the side length x. 12 16 х

makvit [3.9K]

Answer:

Step-by-step explanation:

which side is x ? the Hypotenuse - the side opposite of the 90 degree angle ? or is it one side touching the 90 degree angle ?

that is important. we need to know which side is the Hypotenuse to make the right calculations.

if I assume x is the Hypotenuse, then the calculation follows Pythagoras like this

x² = 12² + 16² = 144 + 256 = 400

x = sqrt(400) = 20

but just in case, if x is a side touching the 90 degrees angle, then the would look like this (depending on which of the other sides is the Hypotenuse)

either

12² = 16² + x²

144 = 256 + x²

-112 = x²

that did not work. a square root of a negative number did not work for actual distances.

16² = 12² + x²

256 = 144 + x²

112 = x²

x = sqrt(112) = 10.58

6 0

3 years ago

T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month if Jason wants to spend at most $1

pochemuha

Family plan and 5 or 5.5 extra lines

7 0

3 years ago

Read 2 more answers

The ratio of the number of coins to the number of notes Mrs James has in her purse is 2 : 5.

Ivahew [28]

Answer:

85 notes

Step-by-step explanation:

2 coins : 5 notes

1 coin : 2.5 notes

34 coins : __ notes

(multiply by 2.5 to get amount of notes)

3 0

4 years ago

2. The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5. Suppose we going t

stiv31 [10]

Answer:

$P(\bar X>76)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 76 we got:

$z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2$

And if we use the complement rule and the normal standard distribution or excel we got:

$P(Z>2) = 1-P(Z$

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable who represent the score of golfers. We select a sampel size of 81.

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P(\bar X>76)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 76 we got:

$z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2$

And if we use the complement rule and the normal standard distribution or excel we got:

$P(Z>2) = 1-P(Z$

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

6 0

3 years ago